[User]
Compute the rank of the given 4x4 matrix:
[[-5, -13, 0, 26],
 [-5, -3, -5, 12],
 [1, 7, -2, -10],
 [-15, -11, -20, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-20, 2, 2, 8],
 [14, -3, -2, -3],
 [0, -8, -3, 13],
 [-20, -6, -1, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 3, -9, 0],
 [-10, 2, -21, -10],
 [-14, -8, 3, -14],
 [-16, -7, -3, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, 10, 8, -1],
 [2, -16, 8, 17],
 [1, -11, -6, 3],
 [28, -2, -8, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[19, 21, 31, 22],
 [-14, -14, -26, -12],
 [-4, 5, -1, 18],
 [-25, -19, -25, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, 21, -13, 0],
 [-5, 14, 2, 0],
 [6, -20, -6, -3],
 [8, -19, 15, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, -6, -13, 3],
 [-4, -2, -8, 4],
 [1, 5, 9, -1],
 [-17, 5, -13, 17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 8, 22, 0],
 [-13, -13, -6, 0],
 [-5, -5, -18, 0],
 [9, 9, -5, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, -2, 9, -18],
 [-17, 4, 11, -34],
 [10, -10, 9, -2],
 [-13, 4, -5, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-9, 8, 5, 8],
 [-11, 16, -1, 12],
 [-3, 12, -9, 6],
 [16, -8, -16, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-13, 3, 7, -7],
 [5, -3, -4, 10],
 [-19, 1, 2, -12],
 [-14, -7, -12, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, -4, 2, 8],
 [3, -1, 0, 8],
 [-6, 4, -2, -8],
 [9, -8, 5, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[14, 13, -1, 8],
 [-5, 14, -12, -12],
 [2, -13, 17, 4],
 [17, -10, 28, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-15, -21, -3, 9],
 [11, 14, 0, -2],
 [-10, -7, 9, -17],
 [20, 20, -14, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[19, 25, 22, 24],
 [-4, 4, 0, 10],
 [7, 13, 10, 15],
 [-5, -7, -6, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, -3, -3, -2],
 [4, -24, -4, -12],
 [-17, -3, -18, -5],
 [-8, -12, -12, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[17, -8, -8, 8],
 [19, -8, -16, 0],
 [-8, 6, -13, -25],
 [-17, 8, 8, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-5, -8, -10, 8],
 [5, -6, 5, -9],
 [-12, -15, 8, -1],
 [-4, 1, -1, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[9, 0, -21, -3],
 [-3, -6, 2, -4],
 [-3, -12, -3, -9],
 [-4, 8, 16, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, -15, -8, -5],
 [-14, 16, -16, 2],
 [3, 11, 2, 5],
 [4, 23, 0, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, 19, -14, -4],
 [-3, 9, -12, -6],
 [20, -1, 2, 16],
 [-7, -5, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 9, 4, 10],
 [4, 0, 1, -2],
 [4, -8, -3, -10],
 [2, 1, 1, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, 4, -4, 8],
 [2, 2, -2, 8],
 [2, 2, 8, -12],
 [-10, -18, -10, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, 9, 14, 5],
 [-6, -10, -18, -4],
 [1, -6, -9, 1],
 [-11, 2, -10, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, 2, -8, 28],
 [-17, 1, -21, 10],
 [4, 8, -2, 0],
 [-12, 10, -20, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-19, -10, -1, 14],
 [-9, 6, 9, 6],
 [5, -9, -10, -3],
 [-16, 5, 11, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -20, 12, 8],
 [3, 7, 1, -10],
 [6, 8, 2, -16],
 [-9, 26, -15, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, -1, -5, 0],
 [16, -12, 4, 0],
 [-16, 11, -1, 0],
 [0, 1, -3, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[13, -12, -6, 10],
 [2, -12, -22, 10],
 [-4, 6, 6, 2],
 [-3, 4, 5, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, -4, -18, -6],
 [-7, 3, 15, -12],
 [-2, 21, 3, 23],
 [0, 13, 9, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[11, 1, -8, 14],
 [14, -5, -4, 13],
 [22, 2, -16, 28],
 [-5, -20, 16, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, 10, 6, -4],
 [-18, 18, 0, 0],
 [3, -2, -3, 2],
 [-18, 20, -6, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, -4, -8, -4],
 [14, -3, 2, -1],
 [-19, 4, -4, 1],
 [-7, 1, -10, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -7, 13, -8],
 [0, 2, 4, -2],
 [9, 10, -13, 8],
 [9, -1, -18, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, -5, -2, 3],
 [0, 9, -3, -3],
 [-3, -13, 8, 3],
 [3, -11, 0, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, 3, 12, 3],
 [12, -4, 12, 0],
 [4, -2, -1, -1],
 [-7, 3, -2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 0, -8, 6],
 [4, 16, -8, 16],
 [5, -12, -10, 0],
 [7, -4, -14, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -14, 12, 16],
 [2, -4, 6, 8],
 [-2, -6, 6, 8],
 [-2, -6, 6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, 12, 12, -13],
 [9, 13, 6, 0],
 [6, -13, -16, 7],
 [9, 10, 11, -27]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-7, -14, -7, 11],
 [-5, -10, -5, 5],
 [6, 12, 6, -13],
 [6, 12, 6, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-5, 1, 1, -5],
 [-7, 6, 1, -10],
 [4, 8, 2, -8],
 [13, -4, 10, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, -8, -12, 0],
 [-2, 12, -10, 14],
 [2, 12, -2, 10],
 [-4, -4, -6, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-20, -3, -13, 0],
 [6, -1, 13, -7],
 [-8, 8, -8, 0],
 [-40, -4, -12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, -5, 6, 11],
 [-4, -13, -23, -7],
 [6, -11, -15, 7],
 [2, -2, 4, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, -10, 12, 5],
 [-22, 15, 5, -27],
 [-4, 8, -3, -4],
 [-10, 7, 4, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-1, 1, 0, 3],
 [1, -1, 0, -3],
 [4, -2, 0, -2],
 [1, 0, 0, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, -3, 3, -4],
 [-8, -16, 24, -20],
 [12, -4, 0, -6],
 [6, -2, 0, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, -8, 14, -9],
 [-14, 18, -7, 1],
 [3, -12, 16, -5],
 [4, -8, -8, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-14, 7, -18, -12],
 [-10, 1, -14, -12],
 [-12, 4, -16, -12],
 [8, -5, 10, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, -6, 8, 4],
 [3, -2, 2, 4],
 [12, 16, -28, 16],
 [0, 8, -12, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 0, 9, -4],
 [6, 12, 1, 6],
 [-10, -22, -2, -12],
 [8, 2, 13, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -15, 8, 1],
 [-12, 18, -10, 1],
 [-16, 13, -6, -6],
 [4, -13, 8, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, 3, 0, 12],
 [-8, 1, 10, 4],
 [-4, 3, 0, 12],
 [0, -2, 4, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 10, -6, -8],
 [-12, -10, 6, -16],
 [-6, 7, -3, -20],
 [0, 0, -4, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, -8, 8, 2],
 [2, -2, -12, 7],
 [-4, -14, -12, 20],
 [-26, -22, 0, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-7, -6, -3, 0],
 [2, 9, -9, -3],
 [1, -2, 1, 16],
 [6, 0, 10, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, -3, -11, -5],
 [-8, -1, -6, -4],
 [-12, 0, -3, -3],
 [-8, -2, -10, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, -7, 10, -8],
 [6, 2, -12, -10],
 [15, -4, -24, -10],
 [3, -5, -2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[9, -8, 0, 6],
 [-9, 24, 0, 6],
 [-16, 28, -3, 1],
 [-7, 8, -3, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, 8, 19, 1],
 [8, 10, 11, -1],
 [16, -12, 14, 6],
 [-12, 19, -8, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-16, 0, -4, 10],
 [-17, 10, 2, 10],
 [4, 8, 6, -3],
 [-4, -24, -16, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-5, 9, 8, -7],
 [8, -4, -3, 13],
 [4, 16, -6, 12],
 [0, -12, 15, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, 6, -8, -4],
 [0, 4, -22, 0],
 [0, -2, 11, 0],
 [6, 12, 9, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 9, 3, 12],
 [4, -12, -2, -16],
 [-6, -12, -17, -16],
 [2, 9, 9, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 12, 0, -12],
 [-17, 7, 8, -17],
 [-7, 2, 4, -7],
 [18, -3, -12, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, 18, 9, -4],
 [10, -8, -14, 4],
 [9, 17, 5, -3],
 [4, -1, -4, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[17, -13, 28, 3],
 [-14, 10, -16, -8],
 [6, 7, -8, -5],
 [17, -16, 16, 21]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -2, 2, 8],
 [12, -7, 7, -14],
 [10, -9, 9, 1],
 [-6, 5, -5, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, 20, 23, -3],
 [-2, 7, 5, 2],
 [2, 8, 2, 6],
 [5, -6, -9, 3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -12, -8, -12],
 [6, 9, 6, 9],
 [-8, -8, -2, -5],
 [10, -1, -14, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, 2, -5, 2],
 [-3, -5, -4, 6],
 [5, 7, 8, -10],
 [2, 2, 4, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[11, 8, 9, 9],
 [18, 6, 21, 18],
 [-4, 11, -15, -12],
 [-20, -13, -18, -16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-13, -9, -23, 12],
 [28, -4, 24, 24],
 [-20, 2, -19, -14],
 [-19, 10, -18, -18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 16, 0, -16],
 [8, 0, 12, -8],
 [-6, 0, -9, 6],
 [2, 8, -3, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, -2, -3, -3],
 [-6, -7, 3, 6],
 [6, 6, 0, -2],
 [3, 0, 9, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, -10, 7, 17],
 [13, -11, -13, 11],
 [-7, 14, 0, -20],
 [7, -21, 4, 26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, -10, 14, -13],
 [24, 8, -19, 14],
 [26, 2, -10, 5],
 [-24, 2, 20, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[9, -12, 12, 3],
 [7, -4, 25, -10],
 [-3, 8, -15, 19],
 [-6, 0, -14, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 4, 16, -2],
 [-7, 1, 12, -2],
 [-7, -10, -8, -1],
 [-8, 9, 28, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, -9, 12, -12],
 [0, 4, 0, 4],
 [-12, 3, -12, 6],
 [-8, 8, -8, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, -4, -1, 3],
 [4, 12, 6, -12],
 [2, 12, 0, -6],
 [-3, 16, -17, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[1, 16, 5, -6],
 [-3, 5, 9, -5],
 [2, 0, 14, -10],
 [4, -35, 0, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, 0, -5, 2],
 [12, -6, 0, -14],
 [2, 14, 3, -4],
 [-2, 10, 8, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[14, -20, 8, -12],
 [-9, 14, -18, 2],
 [11, -18, 4, -10],
 [-14, -4, -4, 18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, 5, 15, -4],
 [3, -2, -4, 2],
 [3, -2, -4, 2],
 [-13, 9, 13, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 9, 20, 20],
 [-6, -1, 22, 17],
 [-6, 2, -18, -8],
 [2, -3, -22, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[5, 2, 13, -2],
 [2, 4, 2, -4],
 [0, -2, 2, 2],
 [-6, -6, -12, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, -16, 12, 16],
 [0, 0, 0, 0],
 [10, 17, -15, 4],
 [6, 14, -12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, 4, -22, 9],
 [12, 4, -18, 3],
 [9, 3, -12, 0],
 [-3, -1, 2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[5, 8, 3, -4],
 [-7, -12, 3, -4],
 [7, 12, -3, 4],
 [5, 8, 3, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -2, -2, -2],
 [-5, -2, -6, 13],
 [8, -9, 24, -14],
 [2, -3, 14, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-13, -33, 27, -11],
 [16, 21, -13, 3],
 [-3, -15, 13, -1],
 [13, 6, 2, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-24, 10, -6, 14],
 [4, -2, 3, -4],
 [-16, 5, 6, 1],
 [28, -10, -3, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, -14, 6, -6],
 [-2, 18, -9, 8],
 [-10, 22, -16, 10],
 [13, 10, 5, 8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[26, -17, 11, 16],
 [2, -4, 10, -2],
 [9, -8, 6, -2],
 [-19, 13, -8, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, 6, -3, -3],
 [0, 20, -6, -14],
 [-7, 8, -1, -7],
 [-6, 4, 0, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, 2, 5, 0],
 [-7, 10, -7, 0],
 [-2, 4, -6, 0],
 [-3, 6, -9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, -6, 4, -15],
 [-1, 0, 0, 3],
 [0, 6, -8, -6],
 [2, -6, 8, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, -19, -2, 4],
 [1, 3, -3, -8],
 [-7, -13, 1, 8],
 [-10, -18, 0, 8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-14, -4, 6, -12],
 [-11, -6, 9, -10],
 [12, -8, 12, 8],
 [-14, -4, 6, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, 4, 9, -6],
 [0, 4, -3, 2],
 [-12, 22, 8, 0],
 [-10, 13, 2, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 6, -8, -6],
 [-4, 2, -20, 6],
 [-3, 9, -25, -3],
 [-1, -10, 9, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-14, 16, -6, -4],
 [-19, 6, -6, -14],
 [-1, 14, 6, 14],
 [8, -4, 15, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, -19, -12, 4],
 [12, 0, -9, 22],
 [0, 8, 6, -4],
 [-12, -28, -12, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -4, -5, -2],
 [-12, 8, 4, -24],
 [12, 1, 14, 25],
 [-6, 3, 0, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-18, -2, 22, -7],
 [0, -2, 4, 11],
 [-12, -20, 10, 14],
 [4, 2, -12, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[10, -13, -18, -17],
 [11, 25, 9, 1],
 [3, -18, -4, -15],
 [25, -4, -25, -28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -2, -2, -3],
 [10, -2, -12, 12],
 [8, -2, -10, 9],
 [10, -4, -14, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-20, 1, 3, -18],
 [8, 1, 15, 4],
 [-8, -1, -19, -2],
 [20, 2, 18, 18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, 18, -12, 14],
 [10, -4, -4, -2],
 [14, -8, -8, 2],
 [-11, 17, -10, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, 19, 0, 0],
 [25, 6, 36, -2],
 [-13, 6, -10, -12],
 [3, -9, 4, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, 2, -3, -2],
 [-8, 4, -12, -3],
 [3, -2, 3, 2],
 [1, 2, 9, -4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, 0, 0, -16],
 [-12, 3, 4, -13],
 [8, -12, -16, 12],
 [16, 3, 4, 15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-10, 7, -8, -23],
 [0, -22, 8, 8],
 [-8, -24, 0, -20],
 [5, -5, 1, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 6, 6, -4],
 [-2, -2, 6, -8],
 [6, -6, -18, 18],
 [1, 9, -3, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, 8, 3, 6],
 [4, -8, -3, -6],
 [-1, 6, 0, 4],
 [8, 0, -9, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, 9, 2, 20],
 [-4, 6, 8, -16],
 [2, 2, -6, 24],
 [6, -12, -10, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, 2, 9, -4],
 [4, -4, 1, -2],
 [6, -10, -7, 0],
 [4, -4, 1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-16, 8, -24, 32],
 [13, -11, 21, -26],
 [-13, 11, -19, 22],
 [8, 14, -6, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 1, 0, 0],
 [-12, 0, -3, -6],
 [2, -1, 2, 4],
 [0, 4, -6, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[3, -16, -5, 6],
 [-6, -10, -2, -12],
 [3, -16, -5, 6],
 [-5, -13, -3, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[2, 8, 4, 0],
 [-21, -4, -16, 14],
 [9, 0, 4, -4],
 [8, -4, 0, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-5, -7, -6, -4],
 [1, 1, 3, 0],
 [1, -1, 12, -4],
 [5, 11, -12, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, 12, 5, -16],
 [-16, -32, 0, -4],
 [-4, 0, -2, 7],
 [4, 20, -3, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, -4, 2, 3],
 [-20, 8, -2, -4],
 [24, -12, 0, 3],
 [16, -12, -4, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, 2, -6, 0],
 [-19, 3, 6, 9],
 [12, 2, -12, -6],
 [9, 5, -2, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -1, -20, 4],
 [1, 10, 18, -5],
 [-3, -15, 14, -3],
 [7, 19, -10, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, 12, 0, 3],
 [-3, 3, 1, -3],
 [-17, 16, 2, 5],
 [4, -5, -1, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-2, 7, 12, 8],
 [3, -6, -12, -9],
 [3, -9, -16, -11],
 [0, -3, -4, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -9, 9, 3],
 [-6, -10, 11, 1],
 [20, 11, 20, 12],
 [-2, 0, -5, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 16, 4, 8],
 [16, 10, 12, -10],
 [-16, -4, -14, 16],
 [12, -12, -2, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-10, -2, -12, 14],
 [-7, 4, -5, -2],
 [5, 1, 8, -3],
 [-1, 7, 11, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -9, -3, -7],
 [-9, -7, -4, -16],
 [-24, -9, 11, -9],
 [15, 17, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 3, 6, 0],
 [-12, 5, -6, 8],
 [-20, 6, 4, 4],
 [12, -6, 12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, 11, -9, -10],
 [-9, -15, 9, 18],
 [-6, -14, 12, 12],
 [-12, -20, 12, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-15, -12, 10, -10],
 [4, 4, -2, 2],
 [-14, -8, 12, -12],
 [-5, 4, 10, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[15, -19, -18, -25],
 [-2, -3, -5, 4],
 [-10, 14, 8, 30],
 [19, -5, -8, -9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-26, 1, 23, -17],
 [3, 12, 6, 0],
 [23, 2, -20, 14],
 [-14, -11, 11, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, 0, -2, 4],
 [-9, 6, -6, 6],
 [-3, -14, 6, 2],
 [6, 4, 0, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 20, -10, 4],
 [8, 0, 10, 9],
 [16, 4, 16, 17],
 [4, -10, 15, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, 18, -16, 13],
 [-20, -9, 16, -6],
 [-4, 3, 0, 2],
 [2, -17, 8, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, 24, -22, 8],
 [5, 4, -6, 6],
 [13, -16, 13, -2],
 [8, -20, 19, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-7, 5, -8, 4],
 [-10, -4, -20, -8],
 [-6, 21, 6, 24],
 [-1, -16, -14, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, -18, -20, 4],
 [36, 13, 10, 6],
 [30, 8, -2, 0],
 [0, -19, -17, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 19, 16, 2],
 [6, -16, -13, -2],
 [14, 5, 9, 8],
 [-2, 8, 5, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 16, -2, 4],
 [0, -1, 2, -4],
 [-8, 10, 0, 0],
 [-12, 12, 6, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, 16, 17, -25],
 [12, 9, 3, 3],
 [0, -3, -6, 12],
 [12, 15, 15, -21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 6, -3, -33],
 [0, 2, 5, 12],
 [0, 3, 2, -7],
 [0, -1, -7, -35]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[10, -7, 7, 26],
 [18, -17, 11, 10],
 [-8, 9, -18, -6],
 [-16, 13, -4, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, -18, -2, 11],
 [-15, -30, -18, 12],
 [-12, -32, -16, 15],
 [1, -18, -6, 9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 8, -8, 4],
 [-5, -20, 5, -10],
 [3, -12, -3, -6],
 [8, -2, -8, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -6, 4, 4],
 [6, 9, -6, -6],
 [0, -9, 4, 4],
 [-9, -9, 7, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 0, 2, -2],
 [-9, -4, 3, 3],
 [-14, -8, 2, 10],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, -12, 0, 12],
 [6, -8, 6, 4],
 [12, -16, -6, 20],
 [9, -12, 3, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, -6, -4, -14],
 [-3, -10, 8, 11],
 [12, 17, 5, 11],
 [19, -22, 24, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 0, -8, -16],
 [-8, -8, 8, -2],
 [5, -4, -5, -19],
 [-9, -12, 9, -9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[4, -11, 2, 4],
 [0, 18, -11, 6],
 [8, -3, -4, 10],
 [8, 8, -11, 14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-12, 24, 2, 25],
 [-12, -18, 16, -24],
 [28, -10, -20, -6],
 [4, 5, -5, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[15, -5, 5, -2],
 [-10, 20, -10, 6],
 [-3, 21, -9, 6],
 [18, -1, 4, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, 0, -24, -4],
 [2, 10, 10, 9],
 [10, 10, 2, 4],
 [20, 14, -14, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-20, 2, -2, -12],
 [-6, 0, -4, -2],
 [-3, 3, 15, -9],
 [5, -2, -8, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-16, -12, 16, -16],
 [10, -5, 0, -2],
 [-3, 4, -2, 3],
 [-12, -9, 12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, 3, -14, 6],
 [2, -3, 8, -6],
 [10, -3, 16, -6],
 [-10, 1, -12, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, -12, 8, 14],
 [-4, 10, -8, -18],
 [-17, -12, 4, -17],
 [5, -4, 6, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, -10, 10, -4],
 [6, 3, -3, -15],
 [6, 3, -3, -15],
 [6, 15, -15, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[1, 2, 1, 4],
 [7, 0, 11, 4],
 [-4, 6, -8, 8],
 [9, -3, 15, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 8, 13, -16],
 [8, 0, 4, -4],
 [0, -10, -15, 12],
 [-8, 9, 13, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-3, 12, 6, 6],
 [6, 11, -7, -7],
 [-7, -7, 9, 9],
 [-1, -3, 1, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[7, -1, 2, 1],
 [-1, -10, -14, 15],
 [-5, 8, 8, -12],
 [-8, -1, 2, 9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, 3, -3, -2],
 [0, 3, -5, 2],
 [8, 6, -6, -4],
 [4, 6, -8, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, -5, 1, 5],
 [-15, 4, 11, -1],
 [3, -2, -4, -13],
 [-12, -2, 5, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -8, 0, -16],
 [-6, -8, -2, -12],
 [-2, -2, -1, -2],
 [2, -4, 4, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[13, -6, 10, 17],
 [-7, 10, -6, -11],
 [3, -9, 3, 6],
 [-6, -4, -4, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-6, 24, 14, 0],
 [0, -32, -20, 4],
 [-9, 20, 11, 2],
 [-9, -20, -14, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, 18, 16, 2],
 [-10, -7, -13, -16],
 [16, -18, 4, -4],
 [-2, 0, 1, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-18, -16, -3, 11],
 [-2, 4, 4, -6],
 [0, -8, -6, 10],
 [0, -4, -3, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 0, 6, 8],
 [-3, -1, 12, 18],
 [2, -1, -3, 3],
 [3, 1, -12, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[3, -4, 4, 0],
 [9, -6, 4, 6],
 [6, -8, 8, 0],
 [12, 5, -12, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[21, -9, -10, 14],
 [-29, 0, -4, -28],
 [3, -9, -6, -6],
 [6, -13, -16, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[7, 4, 18, -2],
 [16, -15, 16, -10],
 [6, -17, -4, 0],
 [-2, 16, 12, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-5, 3, 1, 9],
 [8, 0, -4, -20],
 [0, 6, -3, -7],
 [15, -21, 3, -13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[16, 0, -14, -20],
 [-4, 8, -4, -6],
 [14, -14, -11, 3],
 [16, -2, -5, -18]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 13, 12, 7],
 [-16, -7, -12, -1],
 [-4, 17, 12, 11],
 [20, 10, 16, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, -4, -20, 2],
 [20, -8, -4, 4],
 [-17, -8, 23, -11],
 [-12, 7, 20, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, -4, -4, 3],
 [-1, -10, 5, -9],
 [7, -10, -15, 13],
 [1, 2, -3, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, -30, -21, 20],
 [-12, 9, 17, -12],
 [-24, -9, 11, -3],
 [28, -6, -2, 28]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-1, -3, 10, -6],
 [-4, 10, -4, 9],
 [0, 4, -8, 6],
 [0, 2, -4, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[7, 5, 7, 2],
 [-2, 2, -7, 16],
 [8, 16, -14, -4],
 [-9, -15, 9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, -22, -12, 15],
 [-12, -10, -9, 12],
 [16, -14, -1, 4],
 [-7, -8, -5, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-7, -12, -7, -12],
 [-9, -29, -8, 10],
 [-8, -18, -10, 14],
 [12, 32, 12, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 2, 8, 6],
 [-15, 12, 12, 6],
 [-12, 10, 16, 10],
 [7, -6, -12, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, 4, 0, -4],
 [-25, -18, -6, 13],
 [2, 1, 4, -5],
 [18, 15, 4, -7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, -20, 0, 8],
 [3, 3, -18, 6],
 [12, -18, 8, 4],
 [-2, -2, 12, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[16, 7, 12, -11],
 [8, 12, 5, -6],
 [-16, -16, -12, 8],
 [25, 28, 18, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 6, -12, -12],
 [-8, 14, 20, 8],
 [16, -18, -12, 0],
 [-2, 6, 12, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -4, -4, -14],
 [0, 12, -3, -18],
 [4, -4, -1, -2],
 [-16, 16, 4, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-1, -1, 0, 4],
 [1, -3, 6, 4],
 [-3, -1, -3, 8],
 [4, -4, 12, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[7, -3, 4, -10],
 [7, -3, 4, -10],
 [-11, -2, 7, 6],
 [-3, -9, -16, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[18, -12, 16, -18],
 [-6, 24, 0, 20],
 [-14, 13, 10, 2],
 [-12, 0, 4, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[24, -4, -4, 4],
 [-4, -6, -14, -6],
 [18, 12, 18, 7],
 [14, 6, -8, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, -2, 4, 6],
 [-9, 1, -6, 9],
 [5, -3, 7, 6],
 [1, -1, 2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[13, -6, -3, -17],
 [-11, 14, -4, -8],
 [-6, 0, 3, 15],
 [1, -2, -2, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-4, -2, 3, 2],
 [4, 2, -3, -2],
 [0, -2, 4, 6],
 [-8, -1, 0, -5]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-3, 4, 12, -4],
 [-8, 2, 6, 0],
 [13, -13, -26, -1],
 [-9, 12, 26, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-14, -9, 10, -5],
 [6, 0, -12, -3],
 [0, 3, 6, 4],
 [8, 0, -16, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, -7, -9, -11],
 [-5, -1, -15, -8],
 [-35, 7, -3, 20],
 [19, -13, -7, -17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 13, -11, 0],
 [-5, 6, -7, -9],
 [3, -24, -1, 12],
 [-6, 14, 8, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, -22, -6, 19],
 [6, -14, 8, 13],
 [5, 4, 5, 0],
 [-4, -8, -12, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-8, -2, 10, 20],
 [-11, -11, -2, 20],
 [1, 17, 10, 4],
 [-14, -20, -14, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, 8, 0, 10],
 [4, 8, -15, 0],
 [4, 8, -9, 4],
 [6, 12, 3, 17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, 6, 8, -4],
 [-8, -3, -6, 2],
 [4, 8, 5, -1],
 [-2, -8, -4, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, -25, 0, 0],
 [6, 15, -5, 5],
 [-8, -19, 8, -8],
 [-2, -13, -9, 9]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 2, 0, -10],
 [7, 10, -6, -8],
 [-10, -12, 8, 4],
 [-7, -6, 5, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[2, 3, -3, 3],
 [-4, 6, -24, 18],
 [2, 3, -3, 3],
 [6, 5, 1, 1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -19, 4, 4],
 [-16, -22, 0, 4],
 [-6, -12, 6, 3],
 [-2, 6, -14, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 3, 16, 12],
 [20, -18, -31, -12],
 [12, 2, 13, 2],
 [6, -5, 17, 22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, -8, -4, -4],
 [3, 7, 8, -9],
 [0, 11, 9, -2],
 [-30, 5, -11, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-27, -25, -4, 10],
 [3, -6, -25, 13],
 [-2, -9, -15, 7],
 [-14, -5, -5, 15]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-8, -11, 2, 10],
 [1, 11, 8, 7],
 [0, -7, -6, -6],
 [12, 20, 0, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-27, 7, 3, -14],
 [6, 7, 13, -1],
 [3, 4, -4, 9],
 [-10, 11, 5, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[18, -2, -4, -6],
 [-6, -6, 8, -2],
 [6, -4, 2, -4],
 [-3, 17, -16, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-5, 7, 7, 10],
 [0, -9, 6, 0],
 [-1, -4, 5, 2],
 [4, -8, -4, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 6, 8, 6],
 [-11, 9, 28, 12],
 [-11, 9, 28, 12],
 [2, -3, 0, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, -4, 8, -8],
 [4, 13, -1, -4],
 [8, 12, -4, 0],
 [-12, 10, 10, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[15, 6, 4, 16],
 [-19, 5, 2, -2],
 [13, 0, 0, 8],
 [13, -18, -20, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-11, 1, -13, -12],
 [-8, 0, -16, -8],
 [-14, 4, 8, -18],
 [-3, -1, -15, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, 6, -9, -6],
 [4, 4, -26, -20],
 [8, 13, 3, 5],
 [-5, -5, -5, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, -14, 0, -5],
 [-17, -23, 10, -11],
 [15, 17, -6, 5],
 [19, 17, -14, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[3, 4, -7, -10],
 [-2, -2, 6, 8],
 [0, 1, 2, 2],
 [-1, -1, 3, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[2, 4, 4, -18],
 [5, 2, 6, -17],
 [-5, 5, -2, -12],
 [10, -6, 4, 28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 4, -10, 3],
 [-6, -2, -4, 12],
 [4, -4, 8, 0],
 [10, -2, 12, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -10, -6, -6],
 [32, -20, 12, 36],
 [-5, -2, -5, -6],
 [0, -4, -2, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[11, 6, -1, 1],
 [-4, 6, -19, -2],
 [-23, 6, 0, -19],
 [-2, 6, 10, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[18, 0, -3, -3],
 [15, -9, 2, -7],
 [24, 0, -4, -4],
 [9, -15, 6, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[11, 4, 13, 5],
 [1, 20, 15, -1],
 [11, 13, 14, 9],
 [-5, -7, -6, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, -4, -9, -2],
 [-2, 0, -6, -4],
 [1, -2, -6, -2],
 [3, 0, 9, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-18, 6, -3, 3],
 [-16, 8, -4, 0],
 [-8, 4, -2, 0],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[19, 0, -8, -20],
 [13, -5, -7, -10],
 [6, 5, -7, -10],
 [2, -11, 3, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[7, 4, 2, 10],
 [-4, 12, 0, 13],
 [14, -12, 12, -4],
 [6, -17, 14, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, -6, 1, 2],
 [1, -3, -4, 19],
 [-1, 3, -4, 13],
 [-1, 3, 2, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[0, -6, -5, -7],
 [2, -3, 2, -4],
 [-4, 12, 1, 15],
 [2, -12, -5, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[13, -4, -12, 13],
 [-16, 0, 8, -12],
 [20, 16, 12, 2],
 [8, 0, -4, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, -13, -12, 10],
 [4, 5, -13, 12],
 [-12, -24, 12, 0],
 [2, 1, -13, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-5, -5, -2, -1],
 [-23, -17, 15, -7],
 [-5, 9, 8, 7],
 [24, 30, 1, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[14, -14, 10, -8],
 [-3, -14, -12, -12],
 [-12, -2, -14, -2],
 [8, 17, 3, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-23, -19, 15, 32],
 [7, -7, 15, -4],
 [-6, -1, -6, 4],
 [-4, -3, 33, 26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-7, 12, 10, -8],
 [-1, -6, -2, 16],
 [-10, 12, 12, 0],
 [-6, 9, 8, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[1, 0, 7, 4],
 [4, 3, -2, 4],
 [1, 2, -13, -4],
 [15, 11, -5, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, -8, 4, -2],
 [0, 0, 0, 0],
 [-12, 3, -9, 3],
 [1, -3, -1, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[17, -11, -8, -18],
 [-21, -3, 25, -12],
 [8, -2, 16, -14],
 [-16, -2, -16, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-7, 3, -6, 14],
 [3, 9, -6, 18],
 [7, 11, -3, 17],
 [11, 5, -4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 10, 12, -13],
 [0, 6, 4, -5],
 [0, 8, 8, -9],
 [0, -12, 0, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[20, 14, -6, 14],
 [10, -6, -28, 16],
 [-18, -11, 9, -14],
 [2, 16, -6, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -4, 4, -4],
 [8, 10, -8, 0],
 [0, 2, -2, 2],
 [-12, -11, 8, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -9, 9, -3],
 [-12, 1, -11, -1],
 [16, -22, 5, -9],
 [-16, 2, -25, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[24, -13, 24, 11],
 [28, -12, 28, 12],
 [18, -5, 18, 7],
 [8, 2, 8, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, 7, 1, 10],
 [4, -2, -10, -2],
 [-3, -1, 1, -2],
 [4, 3, -1, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, -9, 17, -8],
 [4, -1, -25, 4],
 [4, -6, -4, 4],
 [8, -5, -11, 8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, 2, -11, 0],
 [1, 10, 1, 8],
 [-8, -2, 18, 1],
 [7, 4, -15, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -11, -15, -3],
 [0, -14, -15, 0],
 [7, -2, 3, 7],
 [19, -25, -12, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 15, 8, 14],
 [1, -11, -6, -11],
 [-5, 6, 2, -1],
 [4, 5, 4, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, -10, -7, 12],
 [-12, -12, 0, -8],
 [10, 12, 1, 5],
 [8, 5, -4, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-14, -26, -28, 22],
 [6, 22, 23, -7],
 [-9, 21, 16, 11],
 [-6, -6, -11, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[15, 3, 13, 2],
 [7, -9, 0, 7],
 [4, 12, 10, -6],
 [2, 6, 5, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[8, 8, 13, -6],
 [-8, -8, -13, 6],
 [1, 6, 6, 3],
 [-4, 8, 4, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, -24, 21, 12],
 [15, 20, -19, -10],
 [-20, 0, 4, 0],
 [8, -12, 8, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, 0, 10, 9],
 [4, -12, 6, 12],
 [-14, -6, -17, -6],
 [-4, -8, -16, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 10, -8, 0],
 [8, -5, 19, 3],
 [-15, -2, -14, -9],
 [25, 8, 12, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 9, -14, -5],
 [12, 8, -11, -1],
 [-24, 24, -14, -2],
 [16, 4, -9, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-13, 12, -12, 4],
 [7, 10, 6, -18],
 [15, -12, 18, -12],
 [17, -13, 3, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 10, -12, 0],
 [2, -5, 10, -6],
 [14, 12, -16, 2],
 [6, -8, 2, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-1, 0, 2, 0],
 [-4, 0, 0, 6],
 [4, 0, -8, 0],
 [1, 0, -2, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, 22, -5, -19],
 [15, 20, 13, -25],
 [26, 4, 30, -18],
 [9, 22, 5, -23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[3, 6, -6, -3],
 [13, 14, 10, -9],
 [-16, -14, 0, 10],
 [14, 10, 12, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[5, -15, 14, -12],
 [4, -1, -2, 8],
 [-6, 14, -12, 8],
 [-4, 11, -10, 8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 12, -20, -21],
 [0, 0, 0, 6],
 [15, -12, 6, 0],
 [16, -8, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, 5, 5, 11],
 [3, 13, -1, 16],
 [-3, 9, -3, 9],
 [-8, -4, -12, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-2, 2, 5, 1],
 [-2, 2, 5, 1],
 [8, -17, -11, -4],
 [-2, 8, -1, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[29, 4, 6, 2],
 [21, -12, 9, -18],
 [-1, -17, 1, -20],
 [5, -11, -1, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, 12, 4, -2],
 [-24, -24, -8, 4],
 [-12, -12, -6, 5],
 [-12, -12, -4, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, 2, 4, -9],
 [12, 4, -12, 1],
 [-14, -2, 8, 2],
 [0, 0, -12, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-14, 6, 4, 8],
 [2, -6, 2, -15],
 [-2, 2, 0, 4],
 [-13, 9, 2, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[20, 2, -4, -2],
 [5, -8, 1, -7],
 [-9, -5, 2, 1],
 [-25, 8, 1, 17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -7, -4, 7],
 [-3, -8, -14, 12],
 [9, -2, -14, 6],
 [3, 1, -8, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[21, 18, 8, -10],
 [1, -7, -4, -1],
 [3, 14, 16, 18],
 [-6, -3, -7, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[8, -10, 0, 10],
 [18, -4, -5, 25],
 [-4, 11, -15, -20],
 [2, 9, -4, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[1, 0, 5, -12],
 [19, -15, -10, 12],
 [0, 0, 0, 0],
 [-2, 2, 4, -8]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-6, -4, 10, 11],
 [-1, 4, -2, 6],
 [4, 12, -2, -5],
 [-8, -8, 8, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[20, 12, -32, 8],
 [7, 24, 6, 21],
 [9, 22, 10, 25],
 [6, 11, 16, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-20, 12, 8, 6],
 [12, 0, -3, 0],
 [0, -8, -2, -4],
 [-4, -12, -2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-5, 18, -3, 14],
 [16, 7, -4, 13],
 [-4, 22, -4, 18],
 [-12, -10, 4, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[4, -11, -7, -12],
 [-14, -3, 15, 2],
 [28, 1, 1, 20],
 [-24, -5, -5, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-5, -4, 6, 6],
 [-22, -7, 19, 11],
 [-3, -10, 4, 12],
 [-24, -1, 21, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[3, 1, -1, 4],
 [7, 10, -4, 3],
 [-8, 0, 8, -4],
 [17, 9, -13, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[12, -4, -12, 8],
 [6, 2, -3, 8],
 [6, -2, -6, 4],
 [5, -3, -6, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[8, 7, -8, -14],
 [12, -3, -3, -12],
 [12, 9, -5, -20],
 [-4, 13, -5, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, -2, 0, 14],
 [32, 4, 23, -13],
 [20, 3, 9, 8],
 [-8, 1, -6, 4]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-19, 2, -5, -1],
 [-4, 12, -8, -6],
 [10, 0, 2, 0],
 [4, -2, 2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, -6, -1, -16],
 [-6, 0, -8, -6],
 [9, -8, 10, -8],
 [-4, 4, 0, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, 3, -19, -5],
 [-1, 3, -4, 0],
 [-6, 6, -15, -3],
 [-9, -37, 8, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-13, 9, -5, 6],
 [15, -8, 18, -10],
 [12, -5, 3, -8],
 [-11, 12, 2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 2, -2, -18],
 [3, 11, 1, 12],
 [3, -3, -3, -24],
 [-12, -8, -4, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, 16, 8, 0],
 [-1, 11, 3, -10],
 [-10, 14, 6, -4],
 [-1, 9, -1, -14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[31, -30, -15, -16],
 [-13, 10, 1, 12],
 [8, -5, 2, -10],
 [0, 5, 11, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, 16, -8, -4],
 [3, -2, 6, 7],
 [18, -20, 20, 18],
 [15, -18, 14, 11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-14, 4, -22, -15],
 [2, 0, 2, 1],
 [-4, -1, -2, 0],
 [-6, 1, -8, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-12, -32, -6, 6],
 [18, 40, 6, -11],
 [14, 24, 28, -6],
 [-13, -20, -26, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, 0, 0, 0],
 [-7, -3, -3, -5],
 [-4, 4, 4, 0],
 [-10, -2, -2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[6, -2, 12, 10],
 [0, 6, -21, 0],
 [-1, -1, 12, 3],
 [15, 1, 3, 22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -20, 0, 16],
 [-30, -4, 6, 8],
 [4, -16, -16, 36],
 [-8, -24, 11, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[0, -9, 4, 4],
 [0, 6, -3, -2],
 [0, 18, -8, -8],
 [0, -15, 9, 2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, -4, 4, -2],
 [-5, -13, 13, 11],
 [8, 4, -4, 2],
 [-4, -2, 2, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 3, -13, -9],
 [-7, 5, -18, -15],
 [2, -2, 8, 6],
 [8, -6, 22, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[1, -2, 3, -2],
 [-14, 20, -6, -8],
 [2, -4, 6, -4],
 [-13, 20, -12, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, -2, -24, -24],
 [-3, 17, 4, 4],
 [3, -17, -4, -4],
 [3, -3, 24, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-6, 3, 12, 0],
 [0, 3, 4, 0],
 [-7, 2, 12, 0],
 [2, -7, -12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 6, -4, -4],
 [14, 2, -4, 0],
 [2, 5, -4, -3],
 [7, 12, -10, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-15, 16, -23, -17],
 [0, 16, -2, 6],
 [16, -16, 23, 19],
 [16, -10, 23, 21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-19, -5, 9, 6],
 [1, -4, -4, 0],
 [30, -13, -23, -2],
 [17, -16, -8, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, -4, -8, 32],
 [-15, 6, -18, 12],
 [-9, 7, -4, -20],
 [9, -2, 14, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[7, -2, -2, 23],
 [4, -8, -12, 16],
 [-3, -3, -6, 0],
 [-1, 2, 2, 7]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-7, -7, -8, -7],
 [-20, -12, -16, -20],
 [4, 1, 2, 4],
 [12, 3, 6, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, 7, 8, -16],
 [-12, -12, -28, 16],
 [-12, -10, -20, 16],
 [0, -4, -16, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[10, 6, -9, 6],
 [-13, 1, -10, -14],
 [-1, 11, 24, 6],
 [10, 6, -9, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-28, 15, 11, 8],
 [16, -8, -6, -4],
 [-16, 6, 5, 2],
 [8, 0, -1, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-2, 0, 2, -1],
 [3, -3, -6, 4],
 [10, 12, 2, -5],
 [2, 0, -2, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[8, 0, 8, 2],
 [3, 4, 5, 2],
 [-4, -16, -12, -6],
 [-8, 0, -8, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-7, 3, -8, 17],
 [5, -3, 7, -13],
 [6, 0, 3, -12],
 [-2, -6, 8, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-5, 8, 17, -11],
 [0, -10, -19, 1],
 [-12, 10, 11, -29],
 [8, 2, -17, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-2, -18, 26, -10],
 [14, -5, 2, 2],
 [11, 10, -17, 9],
 [2, -9, 2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[14, 2, 6, 10],
 [-14, -10, -2, -1],
 [24, 8, 8, 12],
 [-6, 6, -6, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[9, 0, 6, -12],
 [5, 12, -2, -12],
 [10, 8, -14, 8],
 [6, 24, -3, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-3, -9, 12, -3],
 [7, -12, 16, -15],
 [1, -3, 4, -3],
 [11, -6, 8, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[6, -16, 10, 10],
 [-14, 8, -12, -12],
 [-12, -2, -4, -10],
 [-17, -8, -2, -14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, 7, 10, 6],
 [-4, -3, -7, -4],
 [13, 13, 24, 14],
 [-8, -6, -14, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 16, 8, 12],
 [2, 4, -13, -2],
 [-6, 16, -10, 6],
 [0, -4, 7, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, -16, 4, 16],
 [-9, 11, -1, -10],
 [0, 1, -2, -2],
 [0, 4, -8, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-5, -2, -1, -5],
 [8, -15, -25, -6],
 [-1, -3, -4, -3],
 [-8, 2, 6, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[16, 7, -6, -20],
 [3, -4, 22, -10],
 [9, -2, 31, -20],
 [-16, -2, -26, 28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[13, 6, -7, -8],
 [18, 5, -9, -7],
 [-5, 1, 2, -1],
 [14, -1, -9, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, -6, 0, 8],
 [12, 20, 24, 0],
 [-3, -17, -15, 6],
 [-9, -15, -18, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, -4, -3, 3],
 [0, -14, -10, 10],
 [-4, 16, 12, -12],
 [-2, -6, -4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 0, 0, 0],
 [-4, 9, 13, 4],
 [4, 0, 8, -4],
 [-14, 6, -14, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 1, -1, -2],
 [0, -5, -7, 2],
 [0, 4, 2, -4],
 [0, 9, 9, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[6, -1, 21, 13],
 [-9, 4, -3, 11],
 [18, 17, -6, -14],
 [6, 4, -3, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[10, 2, 0, 10],
 [-12, 0, 6, 1],
 [24, -4, 3, 18],
 [8, 0, -3, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[7, -6, 9, 7],
 [-12, 4, -4, 34],
 [-14, 10, -12, 3],
 [-15, 12, -7, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 24, -4, -2],
 [-4, 20, -8, -14],
 [8, 14, 12, -16],
 [-8, -16, -8, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[12, -12, 12, -4],
 [10, -8, 10, -5],
 [2, -4, 2, 1],
 [-2, 4, -2, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-13, -9, 6, -16],
 [-16, -12, 4, -20],
 [-12, -12, -12, -12],
 [-9, -7, 2, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[19, 20, 10, -3],
 [-1, -5, 6, 12],
 [15, 3, 15, 10],
 [17, 1, -2, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, -20, -4, -16],
 [0, 16, -16, 16],
 [9, 13, 5, 10],
 [-3, 9, -15, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-1, 3, -5, -2],
 [0, 8, -8, 0],
 [-4, -6, 0, -6],
 [-3, -22, 23, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[4, 14, -20, -18],
 [0, -12, 18, 15],
 [0, 4, -6, -5],
 [-10, 1, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 4, -6, -6],
 [-10, 6, -15, -3],
 [-8, 8, -12, -12],
 [-6, -2, -9, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[14, 7, -14, -7],
 [-1, -2, -10, -4],
 [11, 4, 2, 14],
 [9, 3, -14, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 0, 0, 1],
 [9, 3, 0, 0],
 [18, 6, 0, 0],
 [-12, 12, 0, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 0, 4, -2],
 [3, 10, 12, 4],
 [2, -8, -14, -1],
 [5, 6, 4, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-9, 13, 12, 12],
 [-2, -20, -2, 2],
 [1, 9, -2, -10],
 [11, -1, -10, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-12, -10, 6, -2],
 [-8, 15, -1, -13],
 [-18, -2, 6, -10],
 [-11, 6, 2, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, -7, -4, 14],
 [4, 3, 4, -6],
 [0, 4, 0, -8],
 [12, -3, 12, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 5, -2, -19],
 [12, 9, 9, -9],
 [9, 5, -2, -19],
 [7, 6, 9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, 16, 0, 5],
 [0, -4, -6, 4],
 [1, 2, 11, -9],
 [4, -24, -4, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[7, 14, -12, -5],
 [-14, 0, 16, -12],
 [8, -4, -8, 10],
 [2, 20, -8, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[0, -4, -8, 2],
 [8, 8, -24, -10],
 [0, -6, -12, 3],
 [2, -3, -16, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[6, 10, 18, -4],
 [-3, -5, -9, 2],
 [-16, -18, -4, -16],
 [1, 1, -1, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, -4, -1, -2],
 [-10, 14, 3, 5],
 [-16, 8, 0, -4],
 [12, -18, -4, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, 12, -3, 3],
 [-15, 6, -3, -3],
 [16, 4, 0, 4],
 [10, 9, -2, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-12, 4, 2, 2],
 [-3, -2, 21, -9],
 [-21, 3, 10, -5],
 [-18, 2, 2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-10, 1, 4, 13],
 [7, 2, -1, -10],
 [17, 11, 7, -5],
 [-11, -1, -1, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, -17, 20, 19],
 [-18, -3, -4, 0],
 [-21, 3, -8, -6],
 [-11, -17, 24, 19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, 4, 4, 0],
 [-7, 11, 3, 16],
 [0, -1, 1, -4],
 [3, -4, -2, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[16, -3, -1, -8],
 [4, 15, -25, 16],
 [-12, 11, -13, 16],
 [14, 0, -5, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 0, 0, -12],
 [0, -4, 4, -6],
 [-4, -4, 4, -12],
 [-6, 0, 0, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[13, -2, 15, -9],
 [4, -8, 12, 0],
 [5, 6, -1, -6],
 [0, 8, -8, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-30, 22, 16, 22],
 [1, -4, 7, 10],
 [12, -9, -12, -12],
 [28, -20, 0, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[9, -3, 3, 6],
 [-9, 8, -8, -4],
 [-3, 1, -1, -2],
 [-18, 16, -16, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, 22, -2, -5],
 [-12, 8, 8, 0],
 [1, 6, 0, -2],
 [-1, -16, 11, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[7, -15, -8, -5],
 [8, 0, -12, -10],
 [5, -21, -4, -1],
 [0, 0, 0, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, 4, -12, 8],
 [2, -1, 3, -2],
 [2, -1, 3, -2],
 [-2, -11, -7, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-3, -6, 8, -2],
 [5, 12, -16, 8],
 [8, 8, -8, -4],
 [4, 0, 0, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[10, 12, -12, 9],
 [17, 20, -20, 14],
 [-10, -26, 8, -2],
 [16, 17, -20, 16]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[9, 5, -5, 11],
 [-5, 1, -18, -8],
 [6, 4, -7, 7],
 [17, 11, -2, 23]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, 2, -24, -10],
 [-4, -10, -8, 6],
 [0, 8, 12, -3],
 [8, -8, -32, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 4x4 matrix:
[[-4, -4, 4, -8],
 [0, 4, 0, 8],
 [-8, -3, 8, -6],
 [-4, -1, 4, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-24, -6, 1, -10],
 [-2, 17, 3, -2],
 [-16, 14, 11, 2],
 [29, 4, 1, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[10, 2, -1, -2],
 [-25, -5, -4, 15],
 [-27, -9, -1, 11],
 [-18, -3, -3, 11]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-14, 13, 2, 18],
 [29, -11, -17, -17],
 [1, 22, -13, 15],
 [-3, -6, 3, 3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-18, -9, 6, 6],
 [6, 6, -3, 0],
 [18, 9, -6, -6],
 [12, 9, -5, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-9, -3, 6, 21],
 [-12, 2, 5, 16],
 [0, -6, 3, 12],
 [9, 3, -6, -21]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, 0, 21, -21],
 [-13, 12, -16, 19],
 [3, 12, 12, -9],
 [9, -28, 0, -7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[12, 6, -10, -6],
 [7, 9, -10, -3],
 [-13, -11, 22, 9],
 [-19, 22, -9, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, -2, 4, -18],
 [-2, 0, -3, 5],
 [6, 2, 5, 3],
 [16, 6, 12, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, -6, -4, 8],
 [-10, -10, -10, 22],
 [12, 6, 9, -21],
 [-10, 0, -5, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-16, -10, 4, -14],
 [-22, 0, 3, -13],
 [16, -12, 0, 4],
 [4, 19, -4, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[18, 14, -24, 18],
 [-12, -16, -13, 19],
 [16, 18, -3, 1],
 [-16, -19, -8, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-14, 20, 3, 2],
 [-4, 14, 16, 5],
 [5, -22, -14, 5],
 [-20, 16, 2, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-11, -3, -9, 4],
 [10, -22, -26, -24],
 [-3, 7, 32, 4],
 [9, -21, -29, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[12, 9, 1, -11],
 [-2, -3, -9, 1],
 [22, 21, -15, -9],
 [-12, -9, 9, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[2, 1, 2, 1],
 [20, 13, -1, 13],
 [-16, -11, 5, -11],
 [-22, -15, 6, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-5, 43, -45, -28, 8],
 [0, -8, 8, 5, -2],
 [0, 8, -8, -5, 2],
 [-25, -25, 15, 10, -20],
 [55, 15, 7, 3, 34]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[18, -33, 6, -15, -18],
 [20, -2, -12, -22, -20],
 [-12, -30, 24, 18, 12],
 [-4, 3, 1, 4, 4],
 [16, 14, -18, -20, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[87, -12, -37, 7, 23],
 [28, 45, 54, -60, 16],
 [-8, 6, 39, -36, -17],
 [-3, 9, 10, -7, 3],
 [7, 21, 14, -5, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-32, 0, 14, -46, 16],
 [14, -29, -6, 28, -35],
 [-22, -48, 62, -16, -36],
 [0, 9, 8, 0, 7],
 [16, 58, -36, 5, 49]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[38, -21, -6, -28, 36],
 [45, 10, -30, -55, 10],
 [23, 4, -18, -26, 7],
 [19, -28, 18, -7, 32],
 [20, -20, 0, -8, 28]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[8, -2, 0, -2, 2],
 [-22, 9, -3, 4, -5],
 [32, -36, 24, 4, 4],
 [-32, 36, -24, -4, -4],
 [24, -48, 36, 12, 0]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-9, 14, 13, -17, 2],
 [7, -28, 53, 29, 7],
 [-6, 0, 22, -8, 6],
 [-6, 8, 22, -8, 2],
 [7, -12, -11, 13, -1]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[9, 39, 39, 51, 3],
 [6, -43, -50, -55, -20],
 [-75, -10, -25, 40, 5],
 [-18, 33, 62, 19, 56],
 [51, 8, 1, -4, -29]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -12, -4, 4, 4],
 [-10, -2, 6, 2, 18],
 [20, 13, 6, -4, 0],
 [-40, -26, -12, 8, 0],
 [-5, -9, -13, 1, -23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-4, -28, -8, 40, 12],
 [4, 13, 5, -16, -9],
 [-1, -22, -5, 34, 6],
 [-6, 3, -3, -12, 9],
 [7, -11, 2, 26, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[6, 30, 23, -11, -25],
 [12, 23, -18, -22, -20],
 [22, 29, 15, 3, -13],
 [-2, -11, -1, -18, -1],
 [-24, -12, 0, -21, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[26, -30, 6, -18, 2],
 [2, -36, 30, -18, 2],
 [-31, 7, -21, 35, -55],
 [-2, -46, 30, -14, -14],
 [-3, 45, -18, 9, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-16, 17, -12, 27, 2],
 [26, 5, -14, 23, -20],
 [13, -27, 19, -1, 3],
 [-23, 41, -29, 14, -3],
 [3, 6, -3, -33, -3]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-7, -29, -4, 2, 29],
 [12, 15, -42, -42, -30],
 [-11, -1, -20, -19, -10],
 [35, 34, -10, -15, -32],
 [-31, -2, 50, 46, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -10, -1, -42, 10],
 [6, -33, -12, 18, -25],
 [-2, -49, -16, -6, -25],
 [4, 35, 11, 12, 15],
 [-4, -8, -2, -12, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[16, 42, -19, -36, 16],
 [15, 24, 14, 2, -18],
 [-11, 25, -4, -8, 15],
 [14, 10, -10, 59, -8],
 [22, 7, 15, 25, -29]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 36, -51, 35, 37],
 [48, 0, 12, -4, -46],
 [-44, -11, -17, -25, 36],
 [0, 32, -43, 31, 26],
 [-16, 46, -53, 57, 51]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-12, 5, 23, 21, 33],
 [-20, 11, 51, 45, 5],
 [-7, 2, -18, -39, -24],
 [-2, -1, -17, -9, -3],
 [-5, 3, 9, -12, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, -5, 6, 5, -10],
 [-72, 30, 54, 60, 24],
 [6, 20, -9, -5, 34],
 [-30, 5, 24, 25, -2],
 [6, -25, 0, -5, -38]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[22, 5, 0, -60, -4],
 [-23, -20, 4, 25, 8],
 [-8, 29, -20, -15, -1],
 [13, -14, 13, -8, -1],
 [27, -15, -20, -18, -15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[2, 15, 3, -1, -3],
 [-10, 12, 15, 2, -12],
 [38, -13, 7, -17, 21],
 [-10, -18, -27, 8, 6],
 [-15, 26, 49, -1, -27]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-4, 16, -20, -14, 12],
 [15, -42, 55, 38, -33],
 [-23, -34, 25, 21, -15],
 [13, 38, -35, -27, 21],
 [-17, 14, -25, -16, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-1, -9, 2, 21, 8],
 [9, -19, 32, 36, -22],
 [-11, 13, -34, -21, 32],
 [7, -5, 20, 6, -22],
 [-16, 28, -54, -51, 42]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[10, 2, -41, -56, -6],
 [16, -5, -29, -16, -4],
 [-1, 20, -21, -12, -32],
 [19, -18, -17, -30, -27],
 [-25, 6, 36, 14, 37]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[33, -12, 0, 17, 1],
 [20, 14, -15, -28, 2],
 [24, 6, 26, 26, 14],
 [-21, 5, -2, -34, -4],
 [-6, 15, -9, -22, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[27, 10, -6, 30, -7],
 [31, -2, 4, 22, 7],
 [-7, -18, 14, -22, 19],
 [-25, 10, -10, -10, -15],
 [-21, -2, 0, -18, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-17, -3, 6, -6, -40],
 [1, 8, 52, 21, 29],
 [10, -20, 20, -15, -10],
 [-15, 27, 30, 33, 24],
 [-5, -7, 30, -2, -16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-14, -2, 38, -22, -16],
 [28, 24, -36, 12, -4],
 [-33, -39, 21, 3, 24],
 [5, 5, -5, 1, -2],
 [-6, -18, -18, 18, 24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[4, -4, -4, -16, -24],
 [6, -13, -27, -38, -22],
 [-1, 2, 4, 6, 4],
 [-6, 11, 21, 34, 26],
 [0, 5, 15, 10, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[24, -8, -1, -13, 23],
 [16, 0, -6, -30, 34],
 [30, -17, 12, 18, -12],
 [-6, 5, -19, -25, 47],
 [24, -6, -3, -21, 30]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[5, 2, -6, 6, 1],
 [-29, 34, 42, 18, -7],
 [6, -28, -12, -28, 2],
 [-13, 10, 18, 2, -3],
 [30, -26, -42, -8, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-20, 15, -15, 10, 25],
 [10, 25, 0, 25, 0],
 [-30, -10, -15, -15, 25],
 [0, 39, -9, 36, 15],
 [-14, -22, -3, -23, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 25, 18, 31, -28],
 [-7, -3, -7, 1, 22],
 [28, 20, 21, 26, -2],
 [-33, -9, -12, -15, -24],
 [-10, 7, 12, -5, -76]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 35, 41, 24, -4],
 [-10, 38, -16, -10, -34],
 [9, -24, -27, -21, 5],
 [0, 10, -20, 6, -10],
 [8, -20, -8, -15, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[34, -14, 25, 17, 5],
 [-48, -2, -13, -6, -3],
 [44, -40, 25, -18, 41],
 [3, -2, 27, -49, 2],
 [58, -2, 23, -4, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-5, -15, 25, 30, 5],
 [8, 10, -20, -31, -9],
 [23, -15, 5, -36, -29],
 [16, -22, 20, -11, -21],
 [19, -13, 5, -29, -24]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[1, 7, 9, -7, 36],
 [-12, 14, -20, -22, 32],
 [-25, -34, -27, -2, 12],
 [-1, 0, 9, -12, 52],
 [-2, 36, -12, -36, 50]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -3, -13, 10, 6],
 [-14, -8, 22, -10, -6],
 [-7, -22, -48, 39, 36],
 [-2, 4, 32, -22, -16],
 [1, 16, 16, -15, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[10, -32, 72, -36, 25],
 [22, -12, 40, -14, 16],
 [4, -15, 23, -13, 12],
 [46, 7, 31, -7, 5],
 [-8, 9, -15, 13, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[12, -20, 11, 2, 11],
 [30, -17, 22, 5, 22],
 [-24, -8, -14, -4, -14],
 [-18, 27, -16, -3, -16],
 [24, -16, 18, 4, 18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-9, -7, -14, 9, -6],
 [5, -17, -30, -18, -24],
 [-1, -17, -14, 16, -10],
 [-4, 2, 4, -19, 28],
 [4, -5, -5, 18, -24]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-54, -14, 16, 37, -22],
 [18, 4, 12, -4, -2],
 [-1, 6, -30, -3, 33],
 [-24, -21, 24, 0, -59],
 [-15, -11, -22, 15, 26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-23, 3, -8, 13, -7],
 [-4, 22, -19, -9, 46],
 [-3, 22, 34, 1, 10],
 [-6, -5, 13, -11, 31],
 [-3, -33, 39, -9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[2, -21, -24, 18, -15],
 [2, -21, -24, 18, -15],
 [24, -54, -72, 60, -18],
 [-25, 48, 66, -56, 12],
 [-24, 21, 36, -34, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[32, 1, 20, -13, -11],
 [12, 16, 20, 12, 4],
 [7, -24, -15, -29, -15],
 [3, -21, -15, -24, -12],
 [-19, 8, -5, 17, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-10, 4, 13, 2, 7],
 [13, -10, -5, -24, -4],
 [7, 2, -11, 0, -40],
 [18, -12, -13, -22, -3],
 [-7, -2, 11, 0, 40]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-8, 18, -2, 14, 14],
 [21, -21, 14, -3, -13],
 [21, -42, 7, -30, -32],
 [25, -51, 8, -37, -39],
 [-1, -3, -2, -5, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[27, -30, -39, 9, 8],
 [42, -48, -20, 43, 14],
 [-24, 30, 13, -29, -1],
 [15, 15, -34, -28, -42],
 [17, -32, -13, 31, 2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-14, -28, -17, 18, 18],
 [-14, -28, -26, 2, 30],
 [21, 42, 30, -19, -33],
 [-12, -24, -12, 20, 12],
 [-6, -12, -24, -22, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-13, 21, -21, 15, -16],
 [-11, 46, -17, 3, 29],
 [-34, 32, -17, 32, -4],
 [-33, 38, -22, -10, -1],
 [46, -45, 29, -3, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[18, 6, 18, -24, 8],
 [21, -26, 30, 10, 34],
 [-63, -27, 103, -33, -22],
 [-90, -36, 49, -15, 14],
 [24, -9, -55, 5, 80]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 34, 7, 28, 7],
 [-13, 16, 6, 8, 35],
 [-2, 13, 2, 10, -62],
 [40, -11, 17, -54, -6],
 [-45, 25, -11, 58, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-2, 5, -10, 26, -7],
 [8, 10, 16, -20, -2],
 [-8, -30, 0, -36, 22],
 [-5, -15, -3, -12, 10],
 [2, 20, -10, 44, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-48, 30, 54, 18, -6],
 [4, -14, 7, 1, 12],
 [-20, 19, 12, 0, -9],
 [20, 2, -53, -35, -12],
 [28, -24, -21, -3, 10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-30, -33, -31, 43, 23],
 [14, -26, -42, 12, 10],
 [5, 0, -22, -9, 10],
 [44, -18, -14, -2, -18],
 [-12, -12, 40, 32, -20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-38, 12, -1, -13, -5],
 [-26, 10, 1, -9, -7],
 [16, -24, -16, 4, 28],
 [0, 22, 20, 0, -38],
 [22, -30, -19, 5, 31]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-30, -64, -6, -6, -28],
 [27, -14, -38, 6, 7],
 [4, 12, 3, 1, 5],
 [47, -14, -57, 17, 26],
 [-15, -43, -11, -6, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[27, 0, -24, 36, 51],
 [-18, -8, 20, -24, -32],
 [-31, -31, -15, 3, -26],
 [-14, -21, -29, 21, 1],
 [-34, -7, 49, -57, -69]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[5, -1, -8, -33, -17],
 [-31, 29, 22, -63, -53],
 [-6, 28, 34, 8, 6],
 [41, -8, -9, 10, 31],
 [-13, 29, 22, -59, -39]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-8, -17, 10, 16, 11],
 [-8, 32, -32, -26, -38],
 [-36, -3, -18, 9, -24],
 [-24, -9, -6, 12, -9],
 [36, 17, 6, -21, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-4, 16, 12, -28, 4],
 [-20, -11, 4, -35, 34],
 [-18, -19, -2, -21, 32],
 [1, 9, 5, -8, -3],
 [14, -4, -10, 38, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[37, -5, -8, -14, 23],
 [-30, 24, -12, 24, -24],
 [-8, -10, 12, -4, -2],
 [24, 30, -36, 12, 6],
 [-18, -2, 8, 4, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-27, -6, -51, -3, 6],
 [10, 1, 36, -5, 10],
 [-5, 0, -25, 5, -10],
 [-11, -4, 1, -9, 18],
 [-8, -2, -12, -2, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-22, 13, -59, -17, 11],
 [-6, -16, 34, 45, -66],
 [20, 16, -20, -10, 26],
 [41, -17, 25, -10, 41],
 [-37, 19, -17, 15, -46]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[1, 27, -15, -20, 6],
 [-19, -18, 15, 20, -9],
 [-36, 18, 0, 0, -6],
 [29, 24, -21, -28, 13],
 [-3, -15, 9, 12, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[-6, 0, 1, -11, -26],
 [0, -4, 2, 8, 20],
 [0, -8, 4, 16, 40],
 [42, 30, -22, 17, 32],
 [18, 16, -11, 1, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, -4, 65, 62, -24],
 [-49, -5, -18, -14, -15],
 [-9, -46, 11, 11, -3],
 [-11, 3, 32, 53, -22],
 [28, 30, -42, -11, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[23, -60, -36, 0, 8],
 [22, 5, 79, 55, -44],
 [10, 30, 61, 20, -30],
 [-27, 0, -41, -10, 26],
 [-14, -10, 7, 40, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-12, 6, 9, -5, -5],
 [3, 19, -12, -31, -46],
 [16, -9, -14, 6, 23],
 [-43, 8, 35, 0, 34],
 [16, -19, 1, 31, -12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 2, 6, -13, 5],
 [28, 6, 31, -24, 12],
 [-57, 22, 24, -36, 37],
 [49, -56, -3, 28, -17],
 [-41, -6, -13, 0, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-49, 54, -25, 33, -18],
 [34, -41, 26, -12, 22],
 [4, -11, -20, 6, -74],
 [-7, -1, -17, 21, -64],
 [18, -24, 17, 0, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[6, -14, 23, -35, 38],
 [21, -23, -21, -30, 2],
 [1, -19, -38, -3, -29],
 [-90, -18, 9, 27, -21],
 [48, 8, -44, -4, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[34, -44, -25, -12, -29],
 [24, -28, -23, 3, -22],
 [22, -20, -31, 24, -23],
 [14, -8, -28, 33, -17],
 [-18, 28, 5, 24, 13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-14, 10, 22, 8, 10],
 [61, 34, -5, -22, 22],
 [-12, 22, 36, 8, 18],
 [-14, -16, -18, 11, 1],
 [21, 27, 7, 2, 33]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[0, 6, 15, -15, -12],
 [-5, 6, 6, -2, 0],
 [30, -42, -51, 27, 12],
 [-15, 16, 13, -1, 4],
 [-15, 16, 13, -1, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-26, 26, 32, -38, 35],
 [-12, 12, 4, -16, 10],
 [4, -4, -34, 10, -22],
 [-18, 18, -8, -22, 7],
 [20, -20, -16, 28, -22]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-21, -56, 39, 0, -30],
 [44, 59, -1, 66, 20],
 [-7, -25, 21, 6, -15],
 [23, 57, -36, 6, 30],
 [33, 57, -6, 54, 30]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[60, 66, -56, 18, 20],
 [-36, -9, 0, -18, -72],
 [15, -6, 9, -3, 15],
 [-40, -21, 12, -18, -60],
 [25, 45, -41, 15, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-4, -60, -33, -42, 13],
 [-19, -64, -39, -55, -7],
 [-43, 6, -17, -17, -24],
 [-19, 34, 3, 19, 6],
 [-9, -30, -13, -31, -26]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 11, 11, -7, -5],
 [-16, 13, -6, 9, 20],
 [4, -8, 14, -4, -6],
 [-2, 19, 3, -3, 3],
 [0, -22, 1, 4, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[35, -33, -12, -7, -13],
 [24, -10, 18, 19, -23],
 [26, -26, -12, -8, -8],
 [-6, -30, -72, -66, 42],
 [-34, 12, -30, -31, 35]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[10, 31, 1, 17, -13],
 [14, -57, -7, -53, 57],
 [-10, -28, -5, -10, 5],
 [2, 7, -7, 7, -11],
 [16, -31, -30, -27, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-63, 44, 18, -18, -55],
 [-49, 7, -4, -47, -14],
 [9, -2, 28, -9, 41],
 [12, -22, -44, 6, -18],
 [16, 5, 18, 17, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[24, 4, 16, 32, 8],
 [3, -5, -5, -1, 5],
 [27, -12, -3, 21, 21],
 [2, 4, 6, 6, -2],
 [9, -15, -15, -3, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[18, -20, -9, 17, -6],
 [2, -10, 6, -16, 32],
 [-7, 5, 6, -13, 14],
 [-31, 35, 15, -28, 8],
 [-9, 15, 0, 3, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-32, -33, -19, 9, -6],
 [-6, -12, -21, -8, -5],
 [28, 29, 5, -17, 5],
 [-24, -41, 21, 45, -13],
 [20, 27, -41, -51, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-22, -20, 16, 15, -17],
 [20, 26, -23, 5, 32],
 [38, 27, -25, -45, 5],
 [8, 6, 13, -5, 30],
 [-14, -3, -14, 30, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[6, 13, -13, -10, 4],
 [-22, -23, 12, -4, 22],
 [-64, -6, -9, 46, 36],
 [18, -53, 55, -18, -20],
 [-4, -32, 27, -10, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-28, 26, -20, 28, -21],
 [30, -38, -23, 10, -35],
 [-6, 13, -13, 8, -20],
 [-54, 58, 13, 10, 28],
 [30, -4, 23, -46, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -34, -15, -4, -23],
 [9, 11, 8, 4, 0],
 [-39, 7, -11, 20, 14],
 [30, -22, -4, -32, -2],
 [-10, -26, -9, -8, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[4, 7, -11, -3, -5],
 [1, -1, 27, 9, 19],
 [-20, 30, 58, -19, 26],
 [19, 22, 24, 17, 30],
 [-17, 0, 43, -7, 17]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-20, 39, -19, -15, -17],
 [1, -19, 33, 13, -19],
 [-28, 32, -16, 23, 18],
 [-14, 8, 40, 14, -42],
 [-25, 35, 11, 4, -33]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[38, -36, -14, 18, 36],
 [-6, 8, 10, -10, -8],
 [12, -16, -20, 20, 16],
 [-2, 10, 28, -26, -10],
 [-4, 9, 19, -18, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[12, 0, 12, -10, -1],
 [48, -12, 0, 12, -42],
 [-30, 31, -24, -24, 5],
 [-31, 4, 6, -10, 25],
 [-31, 39, -18, -38, 14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[4, -24, -22, 12, 0],
 [30, -28, -2, 58, -8],
 [-3, 22, 23, -1, -4],
 [34, 12, 24, -26, 24],
 [28, 0, 14, 0, 12]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -10, -4, -5, 14],
 [4, 25, -4, 9, -21],
 [2, 0, 8, 2, -8],
 [5, 20, 4, 9, -24],
 [-3, -5, -8, -4, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[15, -67, -59, 6, -20],
 [-43, 3, -9, 66, 9],
 [-45, 42, -11, 30, -58],
 [20, 0, 9, -51, -3],
 [23, 18, 15, -12, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-3, -42, 8, -2, -38],
 [44, 14, -54, 15, 36],
 [-17, -14, 16, 25, 1],
 [8, 32, -8, -23, 13],
 [-22, 26, 26, -20, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[13, 33, -7, -32, 36],
 [32, -18, 10, 8, 36],
 [50, -15, 4, -7, -9],
 [26, 21, -8, -31, -9],
 [-26, -26, 8, 34, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-34, 20, -3, -27, 10],
 [-45, 7, 22, -10, -2],
 [-31, 12, 5, 11, 10],
 [-61, 5, 34, 21, 6],
 [-4, 25, -24, 16, -10]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-18, -51, 18, -22, 11],
 [9, 43, -2, 18, -2],
 [10, -8, 24, -52, -5],
 [12, 41, 2, 6, -4],
 [1, -8, -24, 16, -6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[43, 22, -22, 16, 57],
 [46, -24, 12, 42, 66],
 [22, -28, -25, 28, -12],
 [2, -18, -10, 11, -30],
 [-7, -8, 1, -1, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-28, 15, 6, -18, -38],
 [35, 15, -8, 32, 14],
 [-25, -21, 8, -20, -6],
 [-28, 23, -2, -37, -23],
 [33, -23, -8, 17, 53]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 23, -6, -9, -2],
 [24, -27, -2, 2, 1],
 [-34, -2, -46, 37, -49],
 [3, -19, -10, -1, -5],
 [9, -28, -4, 11, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[17, -14, 12, 51, -9],
 [30, -35, -23, 62, -9],
 [36, 8, 4, 32, -72],
 [3, -50, -11, -1, 66],
 [35, -6, 33, 27, -42]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[9, -9, 3, -51, -29],
 [-6, -1, 4, 6, -23],
 [7, -14, 12, -13, -38],
 [8, -14, -47, 64, -36],
 [-41, 33, 26, -33, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-14, -9, -29, -17, 9],
 [22, -23, -5, 29, -21],
 [-31, -61, -22, 10, -10],
 [35, 7, -16, 12, -4],
 [28, -35, -19, 31, 25]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[8, 5, -18, -35, -13],
 [20, 23, 48, 25, 29],
 [-40, 2, -18, 37, 14],
 [-5, 11, -34, -75, -28],
 [25, 30, 70, 15, 31]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-51, 50, 56, -10, -32],
 [-21, 14, 20, -40, -44],
 [-27, 40, 42, 1, -18],
 [-17, 22, 24, -6, -16],
 [-28, 15, 18, 4, -2]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[11, 0, 3, -8, -7],
 [-13, 12, 17, -16, -13],
 [-3, -30, -45, 54, 39],
 [-17, 25, 25, -19, -4],
 [27, -14, -19, 14, 13]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[37, -23, -6, -6, 3],
 [26, -26, 22, 0, 10],
 [-14, 10, 17, -52, -81],
 [0, -36, 3, 15, -27],
 [-3, -7, -8, 5, -11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-29, -41, -55, -7, 22],
 [-20, -32, -10, -16, 4],
 [-17, -23, -40, -1, 16],
 [22, 30, 50, 2, -20],
 [-14, -18, -40, 2, 16]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[0, 12, 12, -12, 0],
 [-45, -33, 21, -21, -27],
 [20, 24, 0, 0, 12],
 [25, 17, -13, 13, 15],
 [-30, -18, 18, -18, -18]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-13, 13, 1, -2, -1],
 [16, -19, -1, 3, 3],
 [8, 49, -5, -9, -33],
 [12, 54, -6, -10, -38],
 [-16, -20, 4, 4, 20]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -30, -18, 82, 38],
 [-1, 0, -6, -18, -12],
 [-3, 10, -26, 75, 11],
 [-8, 22, -27, 72, 6],
 [22, -10, 13, -63, -19]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-27, 22, -38, 23, 10],
 [42, -42, 48, -18, 0],
 [42, -42, 48, -18, 0],
 [1, -6, -6, 11, 10],
 [-19, 16, -26, 15, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-8, 11, -7, -8, 31],
 [-7, 15, 10, -11, 40],
 [-21, -9, -20, 15, -38],
 [-43, 6, -47, 7, 1],
 [-19, 7, -20, -1, 14]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[-36, 36, -2, 18, 12],
 [-6, 6, -43, -13, 2],
 [6, -6, -29, -14, -2],
 [-54, 54, 13, 33, 18],
 [-12, 12, 10, 10, 4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[25, -23, -50, 40, 29],
 [-5, -34, -38, 27, 41],
 [-2, 22, 47, -28, -63],
 [-24, 25, 46, -39, -20],
 [0, -35, -25, 25, 5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[27, -30, 9, 31, -31],
 [18, -5, 1, 14, -24],
 [3, -27, 18, 19, -1],
 [8, 44, -18, -16, -20],
 [-5, 66, -37, -41, -3]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[-11, -8, 13, -23, 7],
 [-25, -16, 11, -5, 43],
 [-6, -5, 13, -27, -5],
 [6, 4, -20, 26, 21],
 [24, 14, -4, -18, -49]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[14, -6, 33, -16, 19],
 [-20, -24, -13, -10, -16],
 [-42, 10, 55, 24, 49],
 [10, -19, 32, -40, -6],
 [-19, -23, 3, 0, 11]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[1, 0, -28, -7, 12],
 [3, 0, -29, -6, 11],
 [3, 0, 4, 3, -4],
 [-10, 0, -6, -8, 10],
 [8, 0, -26, -2, 6]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the rank of matrix A where A =
[[-9, -14, 16, 5, 9],
 [28, -4, -10, -48, 34],
 [-15, 11, -6, 18, -1],
 [-28, 6, -15, 20, -15],
 [-30, -42, 60, 36, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Compute the rank of the given 5x5 matrix:
[[2, -9, -6, 0, 14],
 [1, -15, -6, -3, 13],
 [-15, -20, 20, -25, -55],
 [-2, -19, -2, -8, 2],
 [-6, -29, 2, -16, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[15, -19, 9, 0, -6],
 [31, -19, 17, -22, -36],
 [4, 7, 0, -13, -12],
 [39, -12, -3, -39, 0],
 [18, -7, -22, -15, 54]]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[5, -20, 0, 5, -8],
 [3, 15, 0, 3, -21],
 [5, -30, 0, 5, -2],
 [-10, 20, 0, -10, 28],
 [2, -25, 0, 2, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the rank of the matrix:
[[17, -25, 59, -32, -5],
 [-4, 69, -52, 39, 35],
 [8, 2, 49, -18, 25],
 [2, -18, 58, -32, 2],
 [-67, 2, -46, 1, -35]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the rank of the following matrix:
[[-14, -33, 1, 13, -19],
 [-17, -15, -6, 8, -66],
 [27, -27, 8, -11, 43],
 [-20, 24, -7, -10, -33],
 [7, 0, -2, 4, -23]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
What is the rank of the matrix:
[[15, -10, 35, 40, -45],
 [38, 0, 24, -10, -12],
 [-18, -4, -18, -44, 18],
 [-18, -6, 9, 51, -27],
 [-11, -8, 16, 48, -33]]?

Present the answer in LaTex format: \boxed{Your answer}