[User]
Calculate the rank of matrix A where A =
[[11, -14, -46, -26, 36],
 [-42, -25, -36, 30, -42],
 [-4, -29, -80, -31, 43],
 [42, -13, 28, -41, 25],
 [-12, -5, 4, 30, -42]]

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


[User]
Determine the rank of the following matrix:
[[-12, 20, 20, 4, 4],
 [-3, -1, -28, 7, -20],
 [12, -22, -31, -2, -11],
 [15, -19, 8, -11, 16],
 [18, -20, 25, -16, 29]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 16, -11, 1, 6],
 [15, -46, 6, 24, 49],
 [-12, 6, -10, -48, -52],
 [-20, 30, 5, -25, -55],
 [-7, -4, 5, -11, -18]]

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


[User]
Calculate the rank of matrix A where A =
[[-16, 37, 6, 78, 14],
 [23, -2, 39, -24, 5],
 [-1, -5, -37, -38, 9],
 [16, 12, -8, 40, 24],
 [-10, 33, 17, 14, 15]]

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


[User]
What is the rank of the matrix:
[[-5, 13, 16, 20, -16],
 [4, -8, -8, -13, 9],
 [1, -17, 24, -20, 0],
 [41, 26, 57, -1, -43],
 [-21, -9, -18, 6, 14]]?

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


[User]
Determine the rank of the following matrix:
[[11, -30, 2, -32, -8],
 [-34, 56, 12, 38, 19],
 [-3, -2, -21, 0, -30],
 [1, 22, 7, 32, 26],
 [30, -36, 10, -20, 18]]

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


[User]
Find the rank of the matrix:
[[-8, -4, 6, 34, -16],
 [9, -18, 27, -12, -17],
 [19, 21, 27, -1, 1],
 [26, 17, 60, 21, -22],
 [-3, 1, -24, -26, 19]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-60, -54, 48, -48, -12],
 [-20, -4, 8, 12, -12],
 [-6, -11, 8, -16, 2],
 [54, 50, -44, 46, 10],
 [20, 11, -12, 2, 8]]

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[User]
Calculate the rank of matrix A where A =
[[-14, -4, -12, -29, 24],
 [42, -20, 40, 52, -64],
 [-16, -16, -28, -15, 24],
 [21, -26, 12, 28, -32],
 [36, -28, 36, 32, -52]]

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


[User]
Determine the rank of the following matrix:
[[36, 0, -6, 6, -24],
 [-12, 9, -11, 5, 10],
 [-24, -18, 30, -18, 12],
 [4, -15, 21, -11, -6],
 [10, -6, 7, -3, -8]]

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[User]
Calculate the rank of matrix A where A =
[[41, -3, -34, -18, -10],
 [0, -23, -1, -15, -22],
 [-15, 14, 13, 15, 16],
 [10, -17, -9, -15, -18],
 [49, 11, -40, -12, 2]]

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[User]
What is the rank of the matrix:
[[16, 4, 3, 7, -5],
 [-26, -5, -5, -13, 5],
 [4, 10, 0, -8, -20],
 [12, -18, 4, 28, 40],
 [8, -16, 3, 23, 35]]?

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[User]
What is the rank of the matrix:
[[24, 0, -39, 21, -36],
 [-11, -10, 1, 1, -1],
 [-8, -16, -14, 10, -16],
 [-29, -22, 10, -2, 5],
 [30, 20, -15, 5, -10]]?

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[User]
What is the rank of the matrix:
[[9, -11, -18, -45, -24],
 [-34, 19, -5, 14, 14],
 [-70, 35, 15, 10, 10],
 [-18, 15, 23, 44, 23],
 [0, 7, 45, 54, 21]]?

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[User]
What is the rank of the matrix:
[[-5, 4, 7, -14, 10],
 [-5, -30, -15, -20, -10],
 [14, 16, -2, 44, -12],
 [-13, -10, 5, -40, 14],
 [-8, -31, -13, -29, -6]]?

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[User]
Calculate the rank of matrix A where A =
[[3, -32, -16, 32, -10],
 [-20, -3, 6, 3, -25],
 [20, -21, -18, 21, 10],
 [-22, -17, 2, 17, -23],
 [-44, -23, 14, 23, -13]]

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[User]
What is the rank of the matrix:
[[34, -16, -44, -34, -46],
 [-14, -16, -6, 16, -11],
 [30, 12, -8, -38, 4],
 [7, 30, 26, -9, 33],
 [-18, -56, -24, -18, 12]]?

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[User]
Find the rank of the matrix:
[[0, -16, 14, 8, 16],
 [2, 13, -8, -7, -10],
 [28, 6, 42, -10, 36],
 [-10, -1, -16, 3, -14],
 [28, -10, 56, -2, 52]]

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[User]
What is the rank of the matrix:
[[-40, -16, -32, 6, 8],
 [36, -6, 18, -10, -13],
 [-22, 8, 4, 10, -3],
 [21, -23, -25, -16, 11],
 [2, -18, -6, -4, -8]]?

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[User]
What is the rank of the matrix:
[[6, -10, -8, -15, -22],
 [12, 22, -2, 5, 26],
 [-15, -26, 3, -5, -30],
 [-12, 2, 10, 15, 14],
 [-18, 0, 14, 20, 16]]?

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[User]
Find the rank of the matrix:
[[12, -23, 16, -26, 41],
 [5, 45, -10, -5, -5],
 [3, -26, 4, 7, 8],
 [-1, -53, 12, 5, 13],
 [14, -31, 22, -36, 53]]

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[User]
Compute the rank of the given 5x5 matrix:
[[-40, -2, -21, 34, -13],
 [-10, -25, 60, -32, -20],
 [70, 3, -1, 2, 63],
 [16, 9, 23, -54, -18],
 [-24, 20, -4, -24, -8]]

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[User]
Determine the rank of the following matrix:
[[-16, 10, 8, -24, 20],
 [-4, -11, 11, 21, -22],
 [-20, -10, 25, 15, -20],
 [-16, 4, 12, -12, 8],
 [20, 1, -19, 3, 2]]

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[User]
Calculate the rank of matrix A where A =
[[28, 84, 4, -16, -4],
 [-3, 48, -23, -14, -10],
 [-13, -2, -23, 11, -5],
 [35, 26, 41, 17, 13],
 [15, -9, -8, 13, -1]]

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


[User]
Determine the rank of the following matrix:
[[7, -6, 9, -17, -27],
 [-4, 0, -6, 5, 6],
 [42, 12, 66, -36, -30],
 [0, 8, 2, 11, 22],
 [-16, 0, -24, 20, 24]]

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[User]
Find the rank of the matrix:
[[-2, -32, 18, 6, 30],
 [0, 43, -73, -75, 37],
 [59, 15, 49, 93, -65],
 [-31, 12, -51, -66, 41],
 [2, 21, -46, -54, 34]]

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[User]
What is the rank of the matrix:
[[10, 22, -10, 8, -16],
 [-14, 1, 8, 15, -24],
 [11, 28, 5, 18, -15],
 [-19, 15, -27, -35, 35],
 [41, -8, -13, -7, 9]]?

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[User]
What is the rank of the matrix:
[[-21, 3, -26, 4, -35],
 [18, -18, -9, -38, -5],
 [-27, 17, 15, 42, -2],
 [-18, 14, 19, 50, -9],
 [-13, -6, 5, -38, 21]]?

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[User]
What is the rank of the matrix:
[[-35, 0, 2, 22, -8],
 [-27, -29, 11, 42, 34],
 [-11, 42, -16, -34, -60],
 [-10, -5, -12, -12, 8],
 [-32, -20, 10, 40, 20]]?

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[User]
Find the rank of the matrix:
[[26, 14, 1, 1, -4],
 [-46, -33, -57, -5, -42],
 [55, 44, -24, 10, -42],
 [-32, -22, 67, -3, 48],
 [-32, -28, 20, -6, 16]]

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[User]
Determine the rank of the following matrix:
[[30, 29, -38, 14, -35],
 [-21, -27, 33, -27, 44],
 [-26, 8, -2, 53, -26],
 [26, 17, -25, 1, -27],
 [33, 43, -2, 26, -8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, -9, -48, -19, -4],
 [18, 5, 30, 13, 2],
 [-8, -12, -39, -7, -7],
 [-40, 20, 15, -25, 15],
 [4, 2, 9, 3, 1]]

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[User]
Determine the rank of the following matrix:
[[17, -39, -10, 32, 7],
 [-25, -8, -19, 12, 24],
 [-25, 13, 10, -4, 68],
 [-53, -6, -11, 8, 19],
 [-32, 11, -1, -8, 4]]

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[User]
What is the rank of the matrix:
[[14, 2, -8, -22, -12],
 [13, 5, -4, -17, -18],
 [-6, -4, 0, 6, 12],
 [-3, -13, -12, -9, 30],
 [15, -1, -12, -27, -6]]?

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[User]
Find the rank of the matrix:
[[-35, 60, -68, -1, 22],
 [-63, 21, -35, 10, 9],
 [-5, 40, -60, -21, -6],
 [-30, 66, -44, 19, 33],
 [-24, -30, 18, 10, 24]]

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[User]
Calculate the rank of matrix A where A =
[[-22, 26, 14, -8, 8],
 [-20, 22, 10, -4, 6],
 [18, -9, 9, -18, 3],
 [-26, 7, -23, 38, -9],
 [-28, 2, -34, 52, -14]]

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


[User]
What is the rank of the matrix:
[[10, -4, -8, 12, 8],
 [-15, 6, 12, -18, -12],
 [-44, 4, 0, -16, 8],
 [-11, 1, 0, -4, 2],
 [29, 2, 12, -2, -20]]?

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[User]
What is the rank of the matrix:
[[-12, 39, -9, 24, 24],
 [8, 19, -4, 9, 9],
 [-28, -26, 5, -9, -9],
 [-44, -10, 1, 3, 3],
 [-20, -25, 5, -10, -10]]?

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[User]
What is the rank of the matrix:
[[-30, 32, -26, 44, -44],
 [25, -17, 65, -15, 32],
 [-9, 16, -16, 12, -3],
 [8, 9, 21, 17, -25],
 [-48, 32, -38, 45, -31]]?

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[User]
Find the rank of the matrix:
[[-29, 24, -5, -61, 56],
 [21, -24, -3, 21, -24],
 [10, -16, -6, -6, 0],
 [14, -16, -2, 14, -16],
 [-20, 16, -4, -44, 40]]

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[User]
What is the rank of the matrix:
[[-6, 0, -2, 4, 1],
 [-2, -16, -14, -4, -9],
 [-10, -20, -20, 0, -10],
 [-28, -20, -26, 12, -7],
 [-28, -20, -26, 12, -7]]?

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[User]
Find the rank of the matrix:
[[-2, 3, 5, 6, 7],
 [-10, -15, 35, -5, 20],
 [36, 15, -29, -38, 3],
 [-15, -9, 18, 12, 3],
 [-28, -21, 31, 18, -1]]

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[User]
What is the rank of the matrix:
[[-30, -86, 7, -6, 18],
 [-30, -75, 5, -5, 20],
 [-16, 53, -10, 9, 23],
 [-64, -37, 18, 23, 33],
 [-14, 41, -3, 11, 14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[50, 42, 12, 27, 30],
 [-25, -15, -15, -15, -25],
 [-19, -21, 3, -9, -3],
 [-18, -6, -18, -12, -26],
 [-16, -24, 12, -6, 8]]

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[User]
Determine the rank of the following matrix:
[[19, -1, 7, -11, -15],
 [-15, -15, -93, 33, 33],
 [37, -6, -11, -12, -13],
 [3, -16, 21, 46, -41],
 [18, -5, 12, 5, -16]]

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


[User]
Find the rank of the matrix:
[[17, 28, -19, 1, 6],
 [7, 18, -9, 15, 41],
 [-19, -2, 27, 7, -26],
 [31, 12, 53, 13, 44],
 [-16, 31, 56, 34, 0]]

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


[User]
What is the rank of the matrix:
[[-15, -12, -17, -8, -2],
 [12, -24, -5, 23, -31],
 [-18, 43, 52, -14, 21],
 [45, 8, -10, 11, 15],
 [21, 10, 14, 11, 1]]?

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[User]
What is the rank of the matrix:
[[38, -27, 15, 11, 3],
 [17, -19, -18, 22, -16],
 [-25, 28, 25, -7, -1],
 [-61, 63, -35, 7, -29],
 [-8, -15, -2, 24, -26]]?

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[User]
Determine the rank of the following matrix:
[[-20, 0, 0, 20, 10],
 [4, 20, -12, -4, 0],
 [9, -15, 9, -9, -6],
 [26, -10, 6, -26, -14],
 [26, -10, 6, -26, -14]]

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


[User]
Determine the rank of the following matrix:
[[20, 26, -20, 12, -22],
 [-14, 6, -8, -26, 0],
 [-18, -30, 24, -6, 24],
 [-16, -1, -2, -24, 5],
 [-16, -12, 8, -16, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[1, 11, -15, 3, -14],
 [-9, 16, -9, 7, -12],
 [-10, 33, -28, 54, 10],
 [33, 33, -13, 37, 22],
 [-4, -29, 10, -34, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[18, -45, 27, 3, -24],
 [-16, 33, -31, 9, 12],
 [18, -45, 27, 3, -24],
 [-2, 21, 13, -27, 24],
 [22, -51, 37, -3, -24]]

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


[User]
What is the rank of the matrix:
[[-38, -6, 4, 2, -3],
 [3, -3, -5, -4, -13],
 [-59, -7, 5, -15, -84],
 [52, -1, -2, 13, 43],
 [63, -4, 5, 24, 59]]?

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[User]
Calculate the rank of matrix A where A =
[[6, 31, -9, -9, -1],
 [3, -12, -7, 23, -33],
 [-6, 31, -7, -39, 45],
 [-18, 6, -49, -17, 5],
 [-6, 28, -32, -20, 8]]

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[User]
Calculate the rank of matrix A where A =
[[38, -60, -35, -21, -18],
 [30, 18, -47, -71, 24],
 [-28, -27, 9, 26, -32],
 [-12, 64, 2, 2, 12],
 [2, 31, -9, -28, 21]]

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


[User]
Determine the rank of the following matrix:
[[0, -12, 8, 24, 8],
 [6, 21, -15, -33, -11],
 [12, 12, -10, -6, -2],
 [42, 36, -31, -9, -3],
 [-18, -9, 9, -9, -3]]

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


[User]
Determine the rank of the following matrix:
[[20, -29, 35, -2, 45],
 [16, -5, -44, 82, -22],
 [-68, 46, 2, -28, -30],
 [13, -26, -12, 55, 3],
 [15, 4, -20, 60, 1]]

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[User]
What is the rank of the matrix:
[[-26, 50, -38, -11, -31],
 [-12, -48, 8, 2, 9],
 [1, 7, -43, -10, -41],
 [46, 24, -36, -3, -39],
 [24, -51, 15, 12, 15]]?

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


[User]
Calculate the rank of matrix A where A =
[[61, 16, -17, 10, 35],
 [21, 0, 15, -30, -21],
 [-23, 12, -19, 40, 25],
 [29, 16, 3, -10, -3],
 [-5, 66, 8, 7, -26]]

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


[User]
Find the rank of the matrix:
[[-14, -10, 2, -18, -10],
 [-27, -9, -11, 3, -17],
 [-2, -4, 4, -12, -2],
 [24, 12, 4, 12, 16],
 [-3, 3, -7, 15, -1]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 2, 4, -37, 12],
 [24, 22, 5, -8, 17],
 [12, 15, 9, 6, 15],
 [19, 11, -6, 17, -4],
 [-41, -24, 13, 3, 1]]

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


[User]
Find the rank of the matrix:
[[-24, -12, 33, 36, -39],
 [12, 0, -9, -8, 11],
 [17, 13, -29, -33, 34],
 [32, 4, -29, -28, 35],
 [-34, -2, 28, 26, -34]]

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


[User]
What is the rank of the matrix:
[[-6, -17, 4, -6, -7],
 [-5, -1, 3, -34, 11],
 [12, 6, -2, 2, -4],
 [-41, -32, 11, -34, 12],
 [0, 1, -1, 11, -2]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[41, -59, -32, -28, 51],
 [6, -3, 5, 6, 3],
 [4, 2, -2, 13, -3],
 [6, 6, -32, 30, -12],
 [31, -49, 8, -35, 48]]

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


[User]
Determine the rank of the following matrix:
[[20, -4, -8, 16, 12],
 [30, -6, -12, 24, 18],
 [-22, 17, -5, -17, -15],
 [15, -3, -6, 12, 9],
 [14, -7, -1, 11, 9]]

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


[User]
What is the rank of the matrix:
[[7, 9, 42, 9, -65],
 [24, -12, -6, 14, 21],
 [-3, -9, 6, 1, 5],
 [6, -6, -6, 21, -14],
 [-22, 18, -12, -1, -33]]?

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


[User]
Calculate the rank of matrix A where A =
[[20, 22, -42, 24, 18],
 [-2, 11, -49, 6, 3],
 [-12, 21, -2, 21, 20],
 [6, -18, 1, -33, -75],
 [26, -35, -6, -27, -2]]

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


[User]
Calculate the rank of matrix A where A =
[[-34, 22, 40, 31, -11],
 [-48, 5, -8, 13, 5],
 [-46, -29, 16, 28, 31],
 [10, -39, -20, -22, 16],
 [-18, 20, 16, 47, 24]]

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


[User]
Find the rank of the matrix:
[[-13, 59, 3, -8, -24],
 [13, -5, -3, -4, 6],
 [-33, 48, 3, -6, -23],
 [12, 21, 3, 1, -8],
 [40, -59, -15, -13, 38]]

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


[User]
What is the rank of the matrix:
[[18, -6, 26, 28, 4],
 [0, -18, 6, 12, -15],
 [30, -6, 42, 44, 10],
 [-30, 6, -42, -44, -10],
 [24, 0, 32, 32, 12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-59, -47, 6, 57, 5],
 [11, -5, 31, -7, -33],
 [44, 57, -39, -56, 32],
 [66, 68, -25, -76, 14],
 [-45, -54, 41, 51, -33]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-38, 28, 7, -36, -15],
 [14, -19, -2, 15, -2],
 [42, 0, -24, 42, 0],
 [-23, 3, 17, -26, 15],
 [39, -6, -30, 45, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[25, 22, 4, -40, 8],
 [17, 18, 12, -34, 42],
 [-20, -36, -40, -14, -34],
 [-6, -16, -24, -10, -34],
 [-1, 0, 2, 2, 5]]

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


[User]
Find the rank of the matrix:
[[-19, -23, 16, -11, -3],
 [6, -39, 39, -3, 3],
 [41, 48, -22, 13, 59],
 [31, 8, -9, -6, 42],
 [6, -11, -35, -25, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, -26, 36, -13, -40],
 [8, -37, 44, -12, -45],
 [-17, 10, -14, -3, 27],
 [14, 27, -38, 7, 21],
 [-14, 49, -48, -25, 61]]

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


[User]
Calculate the rank of matrix A where A =
[[-40, 51, 22, 16, 23],
 [-18, 29, 28, 28, 21],
 [-2, 18, 14, 20, -2],
 [30, -17, -8, 5, -30],
 [26, -40, -10, 37, 32]]

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


[User]
Determine the rank of the following matrix:
[[-13, -10, -9, 10, -4],
 [-56, -35, -18, 35, -33],
 [-75, -45, -35, 45, -30],
 [-12, -15, -20, 15, 4],
 [15, 15, -9, -15, 30]]

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


[User]
What is the rank of the matrix:
[[2, 64, 8, -13, -62],
 [4, -47, -9, 10, 45],
 [-3, 37, 1, -12, -41],
 [-8, 62, 34, -14, -46],
 [-7, 22, -10, 4, -28]]?

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


[User]
Calculate the rank of matrix A where A =
[[-6, -19, -20, 3, -45],
 [-11, -17, -10, 14, 52],
 [-63, -23, -13, 15, -9],
 [43, 43, 1, -21, 54],
 [-13, 8, -14, -5, 2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-15, -23, -8, -3, -3],
 [-21, -28, -19, 7, -6],
 [-34, -6, -37, 1, 17],
 [-14, -50, 5, -9, -17],
 [12, -17, 13, 10, -21]]

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


[User]
What is the rank of the matrix:
[[45, 5, 11, -23, -41],
 [47, 7, 17, -23, -41],
 [-18, -2, 4, 5, 15],
 [35, 3, 37, -34, -38],
 [-40, -4, -39, 36, 42]]?

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


[User]
Find the rank of the matrix:
[[-9, 10, 9, -21, 19],
 [21, -11, -7, 2, -11],
 [-39, 29, -17, 6, 33],
 [-21, 8, 49, -39, 15],
 [27, -14, -51, 47, -25]]

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


[User]
What is the rank of the matrix:
[[35, -3, 13, 22, 29],
 [45, -9, 53, -60, 7],
 [-20, -12, -29, 36, 21],
 [15, 9, 23, -30, -17],
 [50, 30, 30, 12, -10]]?

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


[User]
Calculate the rank of matrix A where A =
[[-18, 17, -18, 37, -1],
 [-5, -41, 26, -2, -11],
 [14, 30, 20, -28, 34],
 [-20, 23, -17, 6, 11],
 [1, 2, -29, 0, -16]]

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


[User]
What is the rank of the matrix:
[[-26, 0, -24, -13, 10],
 [29, 48, -9, 40, 14],
 [28, 20, -65, 13, 57],
 [-51, -24, 18, -24, -45],
 [22, 12, 3, 20, -5]]?

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


[User]
Determine the rank of the following matrix:
[[-1, -9, 2, -5, -4],
 [-3, -13, 13, -15, -5],
 [1, -9, -11, 5, -5],
 [-4, 6, 29, -20, 5],
 [6, 16, -31, 30, 5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, 75, -37, 19, 8],
 [8, -39, -38, 7, -43],
 [-22, 63, 2, 7, 26],
 [-1, -45, -10, 7, -39],
 [8, -42, 25, -20, 10]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -23, 7, -25, 20],
 [8, 41, -7, 5, -46],
 [-10, 9, -1, 31, -2],
 [14, -3, -17, -9, 0],
 [-13, 12, 9, 23, -7]]

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


[User]
Calculate the rank of matrix A where A =
[[1, -4, -9, 2, -23],
 [14, -10, -4, 19, 1],
 [18, -3, 8, 16, 25],
 [27, -16, -1, 35, 18],
 [-13, -17, -27, 7, -49]]

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


[User]
Determine the rank of the following matrix:
[[-10, -20, -3, -33, -30],
 [-15, -11, 24, -2, -7],
 [5, 9, 0, 14, 13],
 [-15, -5, 33, 13, 5],
 [-20, -26, 15, -31, -32]]

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


[User]
Calculate the rank of matrix A where A =
[[-25, 31, 33, 28, -40],
 [-3, 12, -11, -12, -26],
 [-15, 19, 17, 16, -24],
 [-6, -19, -9, 2, 14],
 [-10, 34, 9, -18, -74]]

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


[User]
Find the rank of the matrix:
[[-2, -8, -6, 8, -6],
 [25, 8, 15, 4, -1],
 [24, 27, 27, -18, 15],
 [-29, -1, -12, -14, 8],
 [-19, -7, -12, -2, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -36, 22, -18, -14],
 [21, 21, -9, 21, 15],
 [-39, -19, 1, -43, -30],
 [4, 0, 7, -3, -6],
 [27, 19, -7, 31, 23]]

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[User]
Calculate the rank of matrix A where A =
[[25, -44, -25, -7, 4],
 [29, 14, -4, -58, -17],
 [-22, -20, -28, 40, -6],
 [24, -16, -29, -33, -17],
 [26, -57, -14, 8, 21]]

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


[User]
Find the rank of the matrix:
[[-18, -42, 0, 30, 18],
 [24, 24, -20, -12, -24],
 [-36, -36, 30, 18, 36],
 [-33, -29, 30, 13, 33],
 [-39, -27, 40, 9, 39]]

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


[User]
Find the rank of the matrix:
[[-25, 13, 20, 0, -34],
 [9, 25, -27, -31, 30],
 [4, -12, -7, 1, 17],
 [-29, -16, 1, 27, -32],
 [14, 42, -14, -46, 28]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, 0, 0, 4, -2],
 [-22, -17, 17, -31, 24],
 [10, 15, -15, 25, -20],
 [-6, -1, 1, -3, 2],
 [-32, -28, 28, -50, 39]]

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


[User]
Determine the rank of the following matrix:
[[-12, 1, 40, -2, -13],
 [-32, 4, 40, 0, -12],
 [-52, 56, -19, 27, 80],
 [46, -57, 37, -31, -86],
 [-52, 69, -30, 52, 87]]

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


[User]
What is the rank of the matrix:
[[-6, 10, 2, 10, -38],
 [2, -10, 0, -6, 28],
 [7, 25, -6, 3, -40],
 [-19, -25, 12, 9, 10],
 [-20, -30, 13, 8, 19]]?

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


[User]
Find the rank of the matrix:
[[0, 4, -24, -4, 4],
 [-18, -12, 36, 30, -30],
 [-3, -7, 36, 10, -10],
 [-27, -14, 30, 41, -41],
 [15, 10, -30, -25, 25]]

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


[User]
Determine the rank of the following matrix:
[[25, -30, 8, 11, 11],
 [18, -18, 3, 9, 6],
 [16, -6, -5, 11, 0],
 [24, 6, -19, 21, -8],
 [6, -36, 24, -6, 18]]

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


[User]
Find the rank of the matrix:
[[9, 42, 33, -25, -14],
 [30, 0, 12, -60, -42],
 [15, 30, 27, -35, -22],
 [-17, 24, 10, 30, 23],
 [18, -6, 3, -35, -25]]

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


[User]
Determine the rank of the following matrix:
[[-3, 35, 32, 4, -16],
 [-14, -30, 14, 9, 22],
 [-11, -5, 24, 8, 8],
 [-18, -30, 24, 12, 24],
 [-11, -5, 24, 8, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[11, 13, 10, -20, 10],
 [3, 21, 18, -24, 18],
 [21, 3, 0, -15, 0],
 [-11, 3, 4, 3, 4],
 [20, -4, -6, -7, -6]]

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


[User]
Determine the rank of the following matrix:
[[12, 0, 7, 1, 2],
 [32, 16, 36, -20, 16],
 [0, -18, -14, 26, -2],
 [12, 12, -2, -18, -30],
 [44, -20, 15, 33, 14]]

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


[User]
Determine the rank of the following matrix:
[[60, 90, 3, -32, 33],
 [-46, -12, -26, 6, 24],
 [15, 30, -29, -29, -24],
 [-24, -42, -17, 2, -45],
 [24, 48, -20, -28, 0]]

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


[User]
Determine the rank of the following matrix:
[[18, 54, 30, 41, -42],
 [-45, 9, -18, 47, -24],
 [-3, 51, 4, 53, -32],
 [33, 15, 40, -9, -20],
 [-48, -12, -32, 27, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, -9, 7, 8, -16],
 [-3, -15, -3, 12, 12],
 [-12, -32, 9, 27, -15],
 [-9, -17, 12, 15, -27],
 [9, 33, 0, -27, -9]]

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


[User]
Determine the rank of the following matrix:
[[-6, 31, 0, -11, -13],
 [3, -3, 15, 18, -6],
 [3, 7, 27, 28, -16],
 [-2, 32, 26, 18, -26],
 [-4, 19, -2, -9, -7]]

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


[User]
Determine the rank of the following matrix:
[[-20, -30, -25, -35, -55],
 [-14, -20, -19, -25, -43],
 [-10, -16, -11, -17, -23],
 [-2, -6, 2, -2, 8],
 [-1, -1, -2, -2, -5]]

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


[User]
Determine the rank of the following matrix:
[[97, 81, 24, 38, -7],
 [38, 47, 39, -18, 2],
 [4, -14, -12, 24, 0],
 [45, 38, 18, 14, -1],
 [43, 37, 3, -28, -19]]

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


[User]
Find the rank of the matrix:
[[42, 3, -24, 34, 17],
 [-34, -23, -35, -15, -26],
 [40, 25, 16, 28, 57],
 [1, -6, 9, 7, 32],
 [-5, 9, 70, -10, 40]]

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


[User]
Calculate the rank of matrix A where A =
[[-21, 4, -20, 31, 19],
 [8, -12, 16, -27, -2],
 [-8, -8, 0, -2, 12],
 [-22, -12, -8, 9, 28],
 [34, 24, 8, -6, -46]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 30, -23, 55, 81],
 [10, 29, 19, 21, 6],
 [12, 27, 32, 18, -3],
 [0, 11, 16, 14, 9],
 [21, 37, 0, 13, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, 14, -30, 12, -48],
 [-2, 7, -22, -22, -11],
 [0, -7, -1, -22, 28],
 [24, 20, -15, -40, 31],
 [-36, -4, -16, 20, -32]]

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


[User]
What is the rank of the matrix:
[[0, 0, 0, 0, 0],
 [-12, -17, 7, -19, 24],
 [-18, -30, 6, -36, 42],
 [15, 28, -2, 35, -39],
 [-9, 3, 21, 12, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 24, 30, -9, -9],
 [-8, 0, 14, 7, 15],
 [6, 2, -8, -6, -12],
 [2, -34, -46, 11, 9],
 [-6, 14, 28, 0, 6]]

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


[User]
What is the rank of the matrix:
[[5, 20, -50, 25, 25],
 [-6, 12, -30, -6, 30],
 [4, -8, 20, 4, -20],
 [-11, -8, 20, -31, 5],
 [-5, -20, 50, -25, -25]]?

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


[User]
What is the rank of the matrix:
[[14, -22, 22, 26, -12],
 [-20, 30, -40, -35, 0],
 [-4, 10, 16, -13, 48],
 [16, -28, 8, 34, -48],
 [6, -8, 18, 9, 12]]?

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


[User]
Calculate the rank of matrix A where A =
[[-15, -1, -11, -42, -42],
 [-2, -15, -5, -25, -19],
 [7, 39, -15, 36, 10],
 [37, -16, -57, -7, -30],
 [10, 21, 25, 59, 59]]

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


[User]
What is the rank of the matrix:
[[-36, -3, -1, -35, 44],
 [0, -3, 2, 5, 4],
 [-40, -30, 55, 1, 4],
 [-1, -4, 23, 12, 10],
 [4, -8, 4, 10, -32]]?

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


[User]
Determine the rank of the following matrix:
[[-15, 30, 24, 3, -8],
 [-46, -26, 26, 29, -36],
 [-2, 40, 20, 16, 8],
 [21, -57, -42, -24, 4],
 [2, 17, 4, -16, 0]]

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


[User]
Determine the rank of the following matrix:
[[30, 9, 21, 45, 42],
 [-8, -18, 23, -12, -6],
 [8, -6, 21, 12, 14],
 [-14, 3, -23, -21, -22],
 [-22, -3, -22, -33, -32]]

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


[User]
Determine the rank of the following matrix:
[[-33, 40, 42, -15, 16],
 [-39, 4, 17, -10, 22],
 [15, -48, -30, 6, 6],
 [-16, 17, -23, 12, -32],
 [33, -50, -17, 1, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-10, -29, 20, -9, -2],
 [-17, -9, -18, -14, -6],
 [-34, -49, 4, -29, -10],
 [-29, -50, 14, -25, -8],
 [8, 17, -8, 7, 2]]

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


[User]
Find the rank of the matrix:
[[-6, -28, -21, 45, 5],
 [12, -40, 6, 42, 2],
 [6, 28, 21, -45, -5],
 [6, -28, 0, 32, 2],
 [12, 24, 30, -46, -6]]

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


[User]
What is the rank of the matrix:
[[-10, 0, 32, -35, -22],
 [-16, -21, 33, -35, -45],
 [15, -3, -44, 51, 40],
 [-13, 8, 39, -47, -37],
 [-4, -12, 20, -14, 8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, 16, 19, 21, -32],
 [10, -23, -2, 15, -5],
 [-7, -26, -21, -12, 10],
 [2, -35, -10, 36, -32],
 [5, 50, 34, 0, -7]]

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


[User]
What is the rank of the matrix:
[[3, 42, -3, 8, 3],
 [-15, -42, 1, -26, 13],
 [33, -6, 6, 49, -45],
 [6, 12, 0, 10, -6],
 [30, -12, 6, 44, -42]]?

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


[User]
Determine the rank of the following matrix:
[[24, -23, -24, -16, 0],
 [-12, -73, 30, 27, 77],
 [21, 17, 1, -22, -8],
 [6, 25, 4, -13, -36],
 [-37, -44, 23, 42, 44]]

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


[User]
Find the rank of the matrix:
[[-24, -20, -24, -9, 3],
 [4, -14, 30, 21, -33],
 [-6, -23, 21, 18, -33],
 [-14, -11, -15, -6, 3],
 [20, 2, 42, 24, -30]]

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


[User]
Determine the rank of the following matrix:
[[6, -7, -22, -25, -15],
 [2, 7, -10, -59, -25],
 [1, 11, -9, -34, -23],
 [5, -25, -9, 8, 17],
 [-3, -34, 33, -4, 54]]

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


[User]
What is the rank of the matrix:
[[-21, -22, -14, -19, -11],
 [18, -4, 2, 2, 8],
 [-30, -36, -22, -30, -16],
 [6, 20, 10, 14, 4],
 [-33, 2, -6, -7, -15]]?

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


[User]
What is the rank of the matrix:
[[-30, -23, -21, 16, 9],
 [-9, -24, -31, 1, -3],
 [-6, -1, 1, 4, 3],
 [-9, 12, 21, 9, 9],
 [30, 23, 21, -16, -9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -10, 31, -43, 3],
 [-18, -15, 22, -21, 21],
 [-22, -9, 32, -39, 5],
 [-8, 0, 18, -18, -2],
 [22, 39, 5, 0, -56]]

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


[User]
What is the rank of the matrix:
[[9, 34, 18, 24, 10],
 [-42, -31, 22, -64, 6],
 [-7, -26, -14, 1, -22],
 [3, 39, 15, -13, 37],
 [-41, -16, 34, -33, -6]]?

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


[User]
Determine the rank of the following matrix:
[[-29, -29, 7, -16, -6],
 [-22, 0, -1, -5, -15],
 [5, -21, 19, 4, 12],
 [-2, -2, -31, -25, 3],
 [10, -6, -47, -37, 15]]

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


[User]
Determine the rank of the following matrix:
[[-62, 68, -23, -26, 22],
 [55, -85, 7, 10, -74],
 [29, -29, 8, 48, -28],
 [-2, 5, 14, 0, 28],
 [12, 12, -7, 30, 6]]

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


[User]
Determine the rank of the following matrix:
[[31, -4, -72, -34, 44],
 [14, 17, 87, 46, -55],
 [-39, -9, 66, 42, -24],
 [15, -19, 17, 29, 19],
 [29, -17, -8, -17, 2]]

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


[User]
What is the rank of the matrix:
[[23, -22, -35, -9, 28],
 [24, -22, -49, 20, 40],
 [-3, -14, -26, -14, -12],
 [12, -7, -10, 8, 13],
 [38, -30, -19, -12, 8]]?

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


[User]
Calculate the rank of matrix A where A =
[[39, -6, -17, -33, 57],
 [-21, 69, 47, 27, -59],
 [-10, 30, 8, -16, -10],
 [-37, 42, 27, -21, -63],
 [-19, 15, 0, 36, -3]]

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


[User]
Find the rank of the matrix:
[[-24, -8, 20, 20, 16],
 [18, 31, -5, 5, 8],
 [30, -20, -37, -49, -44],
 [6, -23, -15, -25, -24],
 [-6, -22, -3, -11, -12]]

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


[User]
Determine the rank of the following matrix:
[[-30, 22, 52, -52, 34],
 [2, -28, -11, 10, -2],
 [6, -72, -6, -18, 33],
 [-12, -4, 2, 32, -38],
 [0, 40, 3, -12, 9]]

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


[User]
Determine the rank of the following matrix:
[[-18, 12, -8, -28, 2],
 [9, 3, -4, 10, -5],
 [-21, 8, -4, -30, 5],
 [9, 3, -4, 10, -5],
 [12, 25, -24, 4, -16]]

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


[User]
Calculate the rank of matrix A where A =
[[-28, -30, 38, -16, 28],
 [16, 10, -11, 7, -1],
 [-22, -25, 32, -13, 25],
 [8, 0, 2, 2, 10],
 [24, 10, -9, 9, 9]]

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


[User]
What is the rank of the matrix:
[[-22, 13, -13, 5, 6],
 [41, -14, -11, -43, -8],
 [-52, 18, -14, 9, 17],
 [-49, 16, -3, 23, 14],
 [24, -11, -15, -46, -1]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 1, -7, 10, 33],
 [-43, 12, 6, 10, 1],
 [-19, 16, -6, 2, 5],
 [-48, 15, 3, 18, 21],
 [53, -18, -8, -2, 23]]

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


[User]
Determine the rank of the following matrix:
[[10, 14, 9, -6, -5],
 [5, 19, -12, 4, -13],
 [-10, -16, -10, 4, 8],
 [0, 10, 5, 10, -15],
 [25, 10, 1, -42, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[-13, 6, -50, -11, 0],
 [-2, -26, 64, 26, 20],
 [8, 14, -4, -32, -44],
 [0, -15, 48, 2, -9],
 [9, 22, -34, -21, -22]]

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


[User]
Determine the rank of the following matrix:
[[26, 23, -14, -5, -1],
 [-26, -23, 14, 5, 1],
 [-20, -5, 4, 3, 5],
 [-20, 10, -4, 2, 10],
 [-32, 4, 0, 4, 12]]

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


[User]
Determine the rank of the following matrix:
[[36, 12, -30, -36, -18],
 [26, 64, 55, 22, -55],
 [28, -3, -37, -39, -6],
 [-43, -39, 3, 53, 22],
 [-1, 27, 33, 11, -10]]

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


[User]
What is the rank of the matrix:
[[20, 12, -8, 6, 34],
 [8, -3, -11, -8, 24],
 [-24, -12, 12, -4, -44],
 [-12, 3, 15, 10, -34],
 [12, -3, -15, -10, 34]]?

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


[User]
Find the rank of the matrix:
[[3, 5, -1, 1, -1],
 [-15, 1, 25, 5, 1],
 [3, 18, 9, 6, -3],
 [4, 11, 2, 3, -2],
 [-26, -26, 22, -2, 6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -6, 6, 18, 18],
 [-20, -10, 16, 24, 44],
 [16, 14, -20, -30, -46],
 [12, -19, 10, 54, 16],
 [2, -10, -2, 48, 12]]

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


[User]
What is the rank of the matrix:
[[-6, 9, 3, 18, -18],
 [20, 42, -18, 20, -36],
 [-22, -39, 19, -14, 30],
 [16, -6, -10, -28, 24],
 [14, 33, -13, 18, -30]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -30, -18, -36, 12],
 [25, -25, -15, 6, 10],
 [0, 30, -45, 18, -45],
 [31, 30, -3, 42, -23],
 [28, 33, -39, 42, -44]]

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


[User]
Determine the rank of the following matrix:
[[-2, 9, 11, 16, -11],
 [-12, 14, 6, 6, 14],
 [4, 14, 12, 11, 10],
 [10, -16, -1, 7, -42],
 [-18, 18, 15, 24, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[5, 2, -8, -3, 9],
 [-25, -28, -14, -39, 0],
 [0, 4, 12, 12, -10],
 [-20, -24, -16, -36, 4],
 [5, -4, -26, -21, 24]]

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


[User]
Find the rank of the matrix:
[[17, 12, -10, -9, 13],
 [11, -47, -42, -26, -21],
 [-22, 2, 32, 11, -9],
 [27, -10, -28, -47, 1],
 [-7, 56, 50, 8, 24]]

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


[User]
What is the rank of the matrix:
[[-25, 15, -17, -9, -15],
 [-8, 38, 9, 5, 16],
 [-20, 6, -1, -23, 10],
 [-30, 20, -12, -14, -7],
 [2, -26, 25, -24, 32]]?

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


[User]
Find the rank of the matrix:
[[-30, 9, -7, 3, 8],
 [-5, 17, 10, 0, 33],
 [20, 3, 59, 29, 33],
 [-11, -38, 17, -19, -26],
 [-27, 16, -93, -29, -34]]

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


[User]
Find the rank of the matrix:
[[-7, 0, 0, 8, -9],
 [7, -4, -2, -13, 4],
 [-13, -25, 19, -27, -2],
 [-36, -15, -39, 33, 29],
 [13, -2, -8, -15, 8]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[52, -6, 4, -40, -36],
 [-4, 8, -18, -22, -12],
 [-10, 25, -20, -30, -30],
 [20, -55, 15, 35, 60],
 [42, -41, -16, -30, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, 24, 4, -74, -4],
 [24, -30, -5, 0, 42],
 [38, -66, -11, 76, 2],
 [34, -54, -9, 74, -2],
 [-16, -30, -5, 10, -46]]

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


[User]
Find the rank of the matrix:
[[-40, -5, 32, -21, -11],
 [-10, 10, 3, -5, 1],
 [41, 1, 22, 18, 7],
 [-19, -23, -23, 31, 10],
 [9, 12, 5, -24, -9]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-26, 26, -24, -2, -12],
 [-28, -8, 36, -8, -20],
 [3, 33, -51, 3, 15],
 [-6, 24, -51, 8, -11],
 [-19, -11, -22, 15, -60]]

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


[User]
Determine the rank of the following matrix:
[[6, -25, -23, 29, -8],
 [70, -16, 19, 22, -53],
 [-31, -33, -6, 32, -2],
 [-25, -28, 15, 16, -1],
 [19, 19, 9, -16, -5]]

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


[User]
Determine the rank of the following matrix:
[[52, 15, -29, -39, -18],
 [8, 20, -27, -14, 14],
 [-28, 5, -15, 5, -10],
 [-13, 8, -32, -13, -27],
 [-30, 22, -14, 14, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[8, -8, -16, 24, 16],
 [19, 16, -8, 42, -2],
 [-21, 0, 24, -54, -18],
 [-12, -30, -12, -18, 24],
 [2, 12, 8, 0, -12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-14, -2, 44, 24, -48],
 [46, -50, -4, 10, 12],
 [-11, 49, 2, -31, -18],
 [3, -3, -30, -9, 36],
 [21, -16, -12, -4, 15]]

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[User]
Determine the rank of the following matrix:
[[-21, -27, 31, -19, 9],
 [-41, -31, -1, -19, 61],
 [34, 38, -34, 26, -26],
 [20, 16, -2, 10, -28],
 [-1, -11, 29, -9, -19]]

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[User]
Determine the rank of the following matrix:
[[1, -36, 54, -19, -34],
 [8, -24, 36, -14, -26],
 [-2, -16, 24, -8, -14],
 [-41, -20, 30, -3, 0],
 [44, 0, 0, -8, -20]]

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


[User]
What is the rank of the matrix:
[[13, 37, -27, 30, -40],
 [33, 9, -30, 21, -36],
 [-19, -19, 21, -42, 40],
 [38, -72, 7, 5, 8],
 [19, 34, -33, 9, -34]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[30, -12, -7, 55, -44],
 [-25, -1, -2, -28, 36],
 [38, 23, 1, 30, 0],
 [-19, 5, 10, -34, -3],
 [-33, -15, -9, -15, 31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 30, -6, 30, -36],
 [-12, -32, -6, -28, 30],
 [0, -4, -24, 4, -12],
 [-4, -16, -34, -4, -6],
 [-4, -15, -28, -5, -3]]

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


[User]
What is the rank of the matrix:
[[9, -67, 3, 48, 31],
 [1, -8, -36, 29, -4],
 [-9, 25, 6, -32, -4],
 [29, 25, 29, 12, -36],
 [26, 3, 28, -3, -4]]?

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


[User]
What is the rank of the matrix:
[[11, 7, 20, 14, -5],
 [-37, -4, 29, -9, -14],
 [-31, -28, -1, -3, -2],
 [42, 1, -29, 15, 15],
 [15, 8, 25, 19, -6]]?

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


[User]
Find the rank of the matrix:
[[40, 0, 0, -5, 0],
 [-21, 16, -16, 59, 9],
 [10, 28, -28, -14, 8],
 [-42, 6, -6, 21, 3],
 [-10, 32, -32, -1, 10]]

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


[User]
What is the rank of the matrix:
[[2, -14, 13, 0, -6],
 [4, -22, -30, 8, -20],
 [-30, -29, 7, 10, -22],
 [-16, 14, 35, -5, 14],
 [0, 5, 13, -3, 6]]?

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


[User]
Calculate the rank of matrix A where A =
[[-22, -21, -45, -9, 15],
 [15, -5, 25, 30, -25],
 [-13, -24, -30, 9, 0],
 [3, 16, 10, -15, 8],
 [6, 15, 15, -9, 3]]

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


[User]
Calculate the rank of matrix A where A =
[[43, -1, -16, 3, 38],
 [-31, -31, -9, -10, -36],
 [15, 28, -35, 7, -12],
 [-29, -29, 35, -12, -56],
 [-38, -30, -44, -10, -52]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -26, 12, 4, 23],
 [0, 12, -21, 30, -21],
 [7, 9, -27, -8, -14],
 [2, 8, -4, -8, -6],
 [-9, -2, 14, 40, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-27, 1, 28, 36, -17],
 [26, -6, -24, -40, 22],
 [8, -11, -2, -22, 17],
 [-23, -13, 32, 16, 1],
 [9, 28, -26, 18, -26]]

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


[User]
Calculate the rank of matrix A where A =
[[1, 16, -10, 15, 17],
 [26, 0, -20, -10, -38],
 [-12, -10, 15, -5, 6],
 [-26, -26, 35, -15, 8],
 [30, 38, -45, 25, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-25, 20, -50, -25, -5],
 [6, 8, -4, -14, -2],
 [18, -24, 48, 33, 6],
 [14, -8, 24, 9, 2],
 [29, -20, 54, 24, 5]]

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


[User]
What is the rank of the matrix:
[[-8, -36, 48, 6, 17],
 [0, 0, 0, 0, 0],
 [-36, -14, -6, 27, -16],
 [-20, -6, -6, 15, -10],
 [24, 36, -36, -18, -6]]?

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


[User]
What is the rank of the matrix:
[[29, 20, 28, 6, 26],
 [-18, -20, -45, 12, -60],
 [34, 24, 32, 12, 28],
 [44, 20, 32, -28, 34],
 [41, 24, 20, 26, 4]]?

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


[User]
Determine the rank of the following matrix:
[[0, 12, 6, -58, -8],
 [0, 0, -3, 43, 8],
 [2, 30, -3, -37, 2],
 [11, 45, -51, 11, 23],
 [1, -5, -5, -15, -3]]

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


[User]
What is the rank of the matrix:
[[-3, -11, 17, 40, 7],
 [3, -8, 35, -6, 28],
 [-16, -32, 8, -6, 8],
 [3, -7, 37, 43, 23],
 [-3, -5, -25, -1, -35]]?

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


[User]
What is the rank of the matrix:
[[-7, -8, 7, 10, -14],
 [-9, 37, -6, -12, -8],
 [-10, -3, 12, 18, 2],
 [26, -24, -22, -12, 20],
 [-3, 56, 13, -40, 16]]?

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


[User]
Determine the rank of the following matrix:
[[1, 28, 12, 6, 61],
 [9, 21, 37, 33, 53],
 [-11, 20, -33, -48, 10],
 [-7, 38, 5, -12, 51],
 [-20, 9, -15, -9, 10]]

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


[User]
Find the rank of the matrix:
[[8, 2, 5, 11, 33],
 [19, 39, 23, 25, 33],
 [5, -7, 7, -38, 9],
 [15, 25, 10, 40, 40],
 [-12, -22, 9, -40, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 27, -8, 3, 41],
 [39, 28, -7, -23, 51],
 [-45, -6, 12, 40, -28],
 [42, 31, 4, -25, 53],
 [-35, 10, 24, 29, -6]]

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


[User]
Determine the rank of the following matrix:
[[54, 48, -6, 6, -3],
 [-18, -24, 18, -30, -27],
 [-4, 0, -20, 27, 11],
 [6, 2, 14, -20, -11],
 [10, 12, 6, -3, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[7, 9, 33, 7, -6],
 [-12, -14, 34, 13, -19],
 [10, -52, 12, 19, -31],
 [31, -12, 14, 9, -10],
 [9, -43, -7, 11, -20]]

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


[User]
Calculate the rank of matrix A where A =
[[3, 10, 7, 3, 7],
 [-18, 27, -24, -39, 9],
 [-1, -4, -16, -19, -2],
 [-1, 9, -1, -4, 0],
 [30, -16, 36, 48, -8]]

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


[User]
Find the rank of the matrix:
[[38, -5, 6, 32, -10],
 [45, 7, -16, 63, -14],
 [17, -6, -24, -39, 22],
 [-37, 4, 13, -5, -5],
 [-39, 26, 0, 1, -2]]

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


[User]
Determine the rank of the following matrix:
[[-8, 45, 18, -40, 20],
 [16, 25, 14, -20, 20],
 [22, 20, 13, -15, 20],
 [-2, -6, -3, 5, -4],
 [-36, 30, 6, -30, 0]]

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


[User]
Determine the rank of the following matrix:
[[4, 14, -20, -30, 24],
 [-18, -8, 0, 20, -18],
 [-21, 9, -30, -15, 9],
 [-18, -8, 0, 20, -18],
 [1, -2, 4, 4, -3]]

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


[User]
Calculate the rank of matrix A where A =
[[-7, 17, -13, 24, 21],
 [-1, -19, 2, 10, 19],
 [1, -16, 5, 11, 23],
 [7, -21, 15, -4, 11],
 [-13, 17, -25, -2, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[10, -14, 13, 29, 6],
 [23, -39, -2, 14, 9],
 [-44, 17, -7, -16, 15],
 [-1, 18, 37, 56, 0],
 [54, 24, 1, -17, -48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[12, 45, 0, 3, 34],
 [7, 32, 37, -23, 16],
 [28, 5, 22, 7, 2],
 [39, -14, -4, 14, -19],
 [-92, -30, 9, -3, 13]]

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


[User]
Find the rank of the matrix:
[[16, 18, 10, -34, 28],
 [20, 17, -4, -15, 13],
 [-32, 3, 28, -37, 31],
 [-14, -13, -12, 31, -25],
 [26, 2, -31, 36, -29]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[22, 16, -32, -34, 12],
 [-12, 42, -8, 48, 42],
 [0, -2, -15, 2, 28],
 [-13, -11, 18, -21, -42],
 [2, 17, -32, -4, 43]]

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


[User]
Determine the rank of the following matrix:
[[-13, -36, -9, 6, 8],
 [20, 17, 26, -31, -30],
 [25, -6, 21, -12, 10],
 [26, 6, 22, -14, 4],
 [-12, -18, -14, 16, 17]]

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


[User]
Find the rank of the matrix:
[[-30, 20, 10, 15, 0],
 [24, 2, -26, -9, -6],
 [12, 4, -16, -4, -4],
 [-6, 4, 2, 3, 0],
 [6, -28, 22, -7, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 66, -7, -13, -19],
 [-26, -24, 27, -15, 1],
 [17, 60, -4, -12, -17],
 [-27, 10, 41, -13, -22],
 [-26, -27, 11, -42, 18]]

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


[User]
Find the rank of the matrix:
[[39, 50, -5, -12, 31],
 [-7, -10, -35, 36, 17],
 [9, 10, -55, 48, 41],
 [24, 31, 5, -15, 14],
 [2, 1, -55, 51, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -26, 6, -35, -45],
 [18, -12, 9, 3, 25],
 [45, -5, 15, -2, 30],
 [30, 0, 9, 3, 25],
 [-33, 7, -12, 13, -5]]

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


[User]
Determine the rank of the following matrix:
[[18, 1, -36, 8, 70],
 [-4, -15, -14, 16, 34],
 [40, -26, -12, 26, 0],
 [-18, 21, 24, -24, -42],
 [14, -2, -34, 10, 68]]

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


[User]
What is the rank of the matrix:
[[10, -11, -47, 18, -22],
 [56, -22, 36, -40, -44],
 [41, -19, 18, -28, -35],
 [-27, 9, 20, -8, 29],
 [9, 9, 33, -6, 3]]?

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


[User]
What is the rank of the matrix:
[[-41, 50, 14, 12, 10],
 [42, -49, -25, 15, -22],
 [-39, 42, 10, -4, 26],
 [30, -56, -12, -8, 26],
 [9, -12, 3, -23, 6]]?

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


[User]
What is the rank of the matrix:
[[11, -21, -10, -22, 6],
 [-25, 10, -7, 9, -36],
 [-21, -41, -16, -20, -20],
 [-32, 24, -2, 22, -42],
 [-67, -35, -20, 0, -68]]?

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


[User]
What is the rank of the matrix:
[[-26, -1, -2, -4, -6],
 [-6, 10, 20, 12, -24],
 [8, 12, 24, 16, -24],
 [5, -21, -42, -26, 48],
 [18, -11, -22, -12, 30]]?

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


[User]
Find the rank of the matrix:
[[-9, 14, 16, 17, -35],
 [-28, -21, 1, -6, 33],
 [-44, -25, 6, 49, 3],
 [-23, -33, -8, 1, 51],
 [-35, -6, -2, -27, 11]]

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


[User]
Determine the rank of the following matrix:
[[8, 4, -8, 20, -12],
 [-12, 9, -2, -3, 3],
 [-17, 18, 15, -19, -45],
 [-4, 22, -6, 20, -42],
 [-18, 27, 3, 0, -45]]

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


[User]
What is the rank of the matrix:
[[-22, -5, -7, -8, 14],
 [-34, 45, 27, -12, -30],
 [-28, 7, 30, 3, 0],
 [2, 14, -25, 7, 14],
 [0, 4, 16, 4, -8]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[2, 36, 10, -5, -31],
 [-7, -36, -21, 27, 34],
 [4, -12, -26, 34, 24],
 [2, -14, 17, -34, 3],
 [-2, 18, -13, 29, -8]]

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


[User]
Determine the rank of the following matrix:
[[-4, 9, 56, -37, 6],
 [62, 1, 4, 53, -16],
 [-5, 6, 22, -26, -3],
 [-24, -5, 16, -33, -20],
 [15, -3, -42, 33, -5]]

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


[User]
Find the rank of the matrix:
[[0, -24, 3, -24, 0],
 [-1, -21, 7, -22, -1],
 [0, 24, -3, 24, 0],
 [3, -17, -11, -14, 3],
 [-10, -2, 44, -12, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[54, -2, -19, 45, -4],
 [-41, 4, 13, -27, -1],
 [2, -2, -9, 7, 10],
 [8, -28, -19, -24, 49],
 [12, 12, 6, 22, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, -1, 3, -2, 11],
 [-14, 7, 19, 2, 35],
 [-10, -11, -7, -10, 9],
 [-16, -19, -13, -17, 13],
 [-20, -22, -14, -20, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-43, -7, -2, 4, -22],
 [9, -22, -6, -19, 33],
 [-43, -23, 8, -28, 0],
 [3, -32, 2, -26, 37],
 [-2, 9, 1, 8, -12]]

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


[User]
What is the rank of the matrix:
[[5, -1, -19, -48, 15],
 [-33, 67, 11, 19, -12],
 [-18, 12, -54, -39, 18],
 [-8, -20, -32, 18, 3],
 [-20, 40, 20, 34, -15]]?

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


[User]
Find the rank of the matrix:
[[-31, 19, -12, 49, 29],
 [-22, 8, 28, 24, -18],
 [-32, -10, 64, 8, -80],
 [49, -16, 15, 8, 20],
 [-45, 3, 28, 6, -53]]

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


[User]
Determine the rank of the following matrix:
[[2, 4, 15, -19, 14],
 [-2, -6, -4, -24, -2],
 [9, -25, -14, 16, -27],
 [8, -21, 5, -22, -8],
 [-9, 0, -14, -35, -1]]

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


[User]
Determine the rank of the following matrix:
[[6, 0, -32, 14, -6],
 [3, 3, -31, 10, -6],
 [3, 1, -21, 8, -4],
 [-6, 10, -18, -4, -4],
 [-3, 4, -4, -3, -1]]

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


[User]
Calculate the rank of matrix A where A =
[[-30, -20, -9, -17, 0],
 [-20, 17, 22, -9, -21],
 [-24, -4, 4, -14, -4],
 [-36, 6, 18, -30, 18],
 [6, 2, 1, -8, 38]]

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


[User]
Find the rank of the matrix:
[[14, 22, 7, -22, -2],
 [-32, -22, -29, 53, 19],
 [20, -1, 50, -25, -41],
 [4, 9, -47, 24, 0],
 [22, 24, -6, 7, -34]]

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


[User]
Determine the rank of the following matrix:
[[25, -14, -1, 5, 29],
 [12, 0, -14, 29, -32],
 [7, -19, 28, 21, -33],
 [2, 24, -48, -1, 14],
 [1, 22, -43, -4, 17]]

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


[User]
Calculate the rank of matrix A where A =
[[10, 12, 13, -8, -5],
 [36, -3, 48, -54, 11],
 [10, 39, 46, -32, 26],
 [-20, 2, -37, 38, -16],
 [-32, 23, -25, 32, 11]]

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


[User]
Find the rank of the matrix:
[[-73, 9, -1, -12, -61],
 [20, 49, 20, -11, 16],
 [-16, 18, 16, 5, 4],
 [46, 18, 34, 0, 22],
 [10, 75, 38, -32, -22]]

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


[User]
Determine the rank of the following matrix:
[[12, 2, 11, 5, 12],
 [-43, -41, 43, -50, -22],
 [-54, 0, 15, -15, 15],
 [33, 60, -37, 67, 32],
 [-51, -51, 42, -63, -21]]

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


[User]
What is the rank of the matrix:
[[18, -12, 12, 42, -12],
 [4, -6, -4, 16, -21],
 [-3, -2, -10, 1, -20],
 [12, -12, 0, 36, -30],
 [4, -2, 4, 8, 1]]?

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


[User]
Find the rank of the matrix:
[[13, -17, -3, 8, 24],
 [-25, 6, -22, 18, 8],
 [-8, 35, -12, 15, 25],
 [-8, 7, 17, -4, 14],
 [-8, 29, -51, 30, 4]]

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[User]
Calculate the rank of matrix A where A =
[[51, 25, 6, -15, 45],
 [65, 49, 8, -19, 53],
 [-35, 9, -15, 17, -31],
 [-5, -2, 23, -12, -18],
 [8, 17, 34, -21, -15]]

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


[User]
What is the rank of the matrix:
[[-2, 10, 28, -48, -26],
 [-23, -38, -59, 3, -23],
 [8, 14, -13, 4, -21],
 [-17, -20, -6, -31, -18],
 [0, -18, -21, 60, 51]]?

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


[User]
Determine the rank of the following matrix:
[[-2, 20, -3, 39, 2],
 [-41, -20, 16, 40, -16],
 [-21, 26, 16, 46, -12],
 [15, 37, 8, 5, -18],
 [-3, -17, -10, -18, 32]]

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


[User]
What is the rank of the matrix:
[[-10, 56, -25, -7, -18],
 [36, -10, 29, 3, 4],
 [-20, 24, -14, -12, 4],
 [45, 16, -15, -39, 3],
 [-5, -55, 20, 4, 23]]?

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


[User]
Determine the rank of the following matrix:
[[-20, -23, -4, -35, 16],
 [-13, -2, 4, -14, -24],
 [18, -15, 4, 19, 20],
 [-7, 35, -8, -1, -16],
 [-3, -43, 8, -14, 14]]

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


[User]
What is the rank of the matrix:
[[12, 36, 24, 18, 6],
 [-27, 10, 57, 33, 3],
 [-22, -23, -10, -4, 11],
 [12, -9, 36, 0, -9],
 [31, 28, 35, 7, 23]]?

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[User]
Calculate the rank of matrix A where A =
[[6, -44, -7, -18, -49],
 [24, -1, 26, -3, -15],
 [52, 27, 30, -43, -27],
 [56, 25, 17, -2, -73],
 [-11, 3, -29, 26, -25]]

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


[User]
Find the rank of the matrix:
[[38, 18, -23, 53, 8],
 [-22, 7, -34, 13, -6],
 [-25, 17, -18, 12, 43],
 [18, 4, -17, 30, -13],
 [19, -16, 19, -24, -41]]

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[User]
Calculate the rank of matrix A where A =
[[-3, -7, 4, 12, 9],
 [-18, -12, 4, -18, 4],
 [-45, -45, 20, 0, 35],
 [-15, -14, 6, -3, 10],
 [3, 1, 0, 6, 1]]

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[User]
What is the rank of the matrix:
[[-3, 12, 9, 18, 3],
 [6, 24, 6, -4, 42],
 [6, 30, 9, 0, 48],
 [3, 0, -3, -10, 9],
 [6, -24, -18, -36, -6]]?

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


[User]
Determine the rank of the following matrix:
[[64, 8, 34, 48, 44],
 [29, 33, 31, 28, 34],
 [5, -4, 0, 2, 4],
 [-7, -26, -19, -18, 10],
 [11, -63, -29, -8, -14]]

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[User]
Calculate the rank of matrix A where A =
[[-1, 6, 9, 1, 8],
 [-24, 24, 3, 43, 12],
 [-10, -4, 6, 30, -16],
 [-14, 20, -24, 12, 16],
 [9, -14, -6, -14, -12]]

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[User]
What is the rank of the matrix:
[[-1, 0, 24, -40, 22],
 [-14, 16, -21, 60, -33],
 [-6, -14, -58, 58, -8],
 [-16, -8, 33, -41, 11],
 [-27, -3, 54, -54, 9]]?

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


[User]
What is the rank of the matrix:
[[-15, -16, 23, 30, 17],
 [75, 38, -10, -3, 20],
 [45, 38, -10, -21, -16],
 [45, 24, -9, -6, 9],
 [10, 32, -12, -38, -48]]?

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[User]
Find the rank of the matrix:
[[-23, -35, 24, 16, -1],
 [24, 39, -34, -11, -3],
 [-4, 2, -7, 21, -20],
 [-15, -28, 12, -1, 16],
 [-2, 2, -17, 13, -8]]

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


[User]
Determine the rank of the following matrix:
[[-19, -36, -45, 20, -3],
 [15, 30, 37, -16, 2],
 [-19, 24, 11, 12, -17],
 [-16, -24, -32, 16, -4],
 [32, -12, 8, -24, 22]]

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[User]
What is the rank of the matrix:
[[25, -48, 32, 49, 15],
 [-14, 2, -28, 26, 41],
 [-13, 20, -25, -10, -1],
 [7, -8, 2, 9, -11],
 [15, -18, 12, 15, -18]]?

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


[User]
Determine the rank of the following matrix:
[[-26, 6, 5, -12, -3],
 [-8, -12, 0, -16, -14],
 [-8, 6, 2, 0, 3],
 [12, -36, -6, -24, -30],
 [-40, 12, 8, -16, -2]]

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


[User]
Determine the rank of the following matrix:
[[7, 15, -8, -24, -12],
 [-33, 27, 48, 0, -36],
 [-25, 17, 36, 4, -24],
 [-29, 22, 42, 2, -30],
 [21, -12, -30, -6, 18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 33, -18, 24, 37],
 [13, 29, -46, 23, -41],
 [-15, 32, 34, 57, 20],
 [-21, -55, 19, -61, -2],
 [-10, -23, -23, -34, -30]]

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


[User]
What is the rank of the matrix:
[[-38, -18, 24, 19, -39],
 [-12, 24, -14, 30, -48],
 [-44, -30, 52, 13, -15],
 [12, -6, -15, -14, 9],
 [22, -36, 14, -48, 72]]?

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[User]
Find the rank of the matrix:
[[1, 47, -21, 6, -23],
 [26, -61, 20, -27, 37],
 [28, -56, -1, -48, 36],
 [16, -66, 16, -6, 42],
 [6, -21, -84, -3, 37]]

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


[User]
What is the rank of the matrix:
[[-16, 20, -32, 8, 16],
 [-29, -20, 5, 1, 29],
 [21, -20, 35, -9, -21],
 [11, 30, -27, 5, -11],
 [17, -15, 27, -7, -17]]?

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[User]
Calculate the rank of matrix A where A =
[[22, 20, 0, -15, 59],
 [-2, 22, -28, 36, -14],
 [18, -14, -4, -32, -14],
 [-28, -10, 25, 15, -1],
 [-3, -21, 19, -23, -6]]

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


[User]
What is the rank of the matrix:
[[8, 44, -64, 26, -10],
 [-30, -15, -15, 24, 3],
 [2, -53, 33, -17, 0],
 [16, -15, -15, -2, -9],
 [-20, -12, -48, 34, -6]]?

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


[User]
What is the rank of the matrix:
[[31, 40, -12, 99, -41],
 [42, 44, -43, -4, 36],
 [-1, 11, 6, 38, 15],
 [35, 38, -25, 55, -15],
 [-42, -23, 35, -45, 62]]?

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


[User]
Determine the rank of the following matrix:
[[25, 0, -10, 10, -5],
 [20, 12, -20, 4, -16],
 [-30, -18, 30, -6, 24],
 [20, 30, -38, -2, -34],
 [-10, -12, 16, 0, 14]]

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


[User]
What is the rank of the matrix:
[[-29, 27, -1, -46, 0],
 [34, -12, -46, 12, 38],
 [28, -9, -40, 8, 33],
 [-26, 18, 14, -28, -12],
 [-25, 0, 55, 10, -45]]?

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


[User]
What is the rank of the matrix:
[[-31, -30, 26, 18, -18],
 [-11, -5, 9, 11, -13],
 [3, 24, 12, 24, -44],
 [-25, 14, -18, 25, -8],
 [10, 25, 15, 20, -45]]?

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


[User]
Determine the rank of the following matrix:
[[-15, -10, -15, 30, -5],
 [16, 12, 18, -34, 12],
 [13, 8, 12, -25, 1],
 [14, 8, 12, -26, -2],
 [-16, -12, -18, 34, -12]]

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


[User]
What is the rank of the matrix:
[[52, -67, -66, 85, -16],
 [1, -1, -4, -1, 8],
 [44, -38, -48, 44, 4],
 [18, -3, 6, 15, -44],
 [-16, -17, -2, 25, -12]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -20, 24, 8, 26],
 [-11, -10, -15, -31, 7],
 [17, 12, 5, -27, 0],
 [45, 30, 3, -13, -15],
 [-4, -23, 11, 41, 32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, 3, -25, -22, -4],
 [21, 13, 20, 19, -8],
 [-44, -4, -40, -36, 0],
 [30, 36, 30, 30, -24],
 [-14, 32, -10, -6, -24]]

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


[User]
What is the rank of the matrix:
[[48, 27, -24, -15, 18],
 [6, -19, 7, -9, 16],
 [-22, 19, -39, -22, -39],
 [8, -10, 8, -4, 14],
 [32, 12, -41, -43, 7]]?

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


[User]
Calculate the rank of matrix A where A =
[[-1, 0, -5, -4, 0],
 [1, -10, 50, 4, 25],
 [3, 10, -30, 12, -25],
 [1, 10, -40, 4, -25],
 [5, 12, -29, 20, -30]]

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


[User]
Calculate the rank of matrix A where A =
[[-40, 40, -38, -22, 4],
 [24, -16, 18, 10, 12],
 [28, -12, 17, 9, 26],
 [8, -22, 16, 10, -26],
 [4, -21, 14, 9, -31]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-13, -11, 16, -7, 55],
 [-1, -5, -28, 35, 30],
 [-47, 27, 8, -9, 1],
 [25, -21, -17, 36, 38],
 [-30, 15, -34, 15, 2]]

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


[User]
Find the rank of the matrix:
[[-20, -16, -26, -38, 48],
 [21, 13, -8, 18, -62],
 [-3, -7, 35, 42, 8],
 [-8, -14, -15, 1, 8],
 [-15, -33, -60, -9, 0]]

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


[User]
Find the rank of the matrix:
[[30, -8, 18, 31, -30],
 [-30, 16, -18, -41, 42],
 [-15, 44, -27, 2, 12],
 [0, 28, -12, 10, 0],
 [-20, 16, -12, -34, 36]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 1, -42, -10, 23],
 [-21, 7, -21, 29, 17],
 [-9, 13, -1, -43, 20],
 [46, -98, -34, -2, 16],
 [17, -5, -7, -29, -2]]

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


[User]
Determine the rank of the following matrix:
[[-42, 50, -9, 4, -26],
 [-6, -18, -15, -36, 42],
 [42, -39, 15, 12, 6],
 [8, 13, 14, 32, -36],
 [-22, 33, -1, 12, -26]]

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


[User]
Find the rank of the matrix:
[[-10, -10, 5, -30, -25],
 [-14, -2, -21, 54, 13],
 [-28, -13, -21, 36, -10],
 [30, 18, 13, -6, 27],
 [26, 8, 29, -66, -7]]

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


[User]
Find the rank of the matrix:
[[42, 28, 14, 0, -62],
 [-12, 1, 23, -27, -26],
 [30, 8, -26, 36, 14],
 [-12, -5, -8, -9, 31],
 [6, 12, 0, -24, 8]]

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


[User]
Find the rank of the matrix:
[[30, -18, 30, 24, 30],
 [5, -19, -20, 7, -25],
 [2, -14, -18, 4, -22],
 [11, 3, 26, 7, 29],
 [28, -20, 23, 23, 22]]

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


[User]
What is the rank of the matrix:
[[7, 0, -12, 20, -11],
 [12, 45, -9, -33, -63],
 [23, 46, -20, -21, -63],
 [4, -24, 28, -26, 16],
 [35, 0, -32, 30, 29]]?

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


[User]
What is the rank of the matrix:
[[2, -26, -30, 14, -26],
 [-12, 21, 34, -18, 13],
 [-1, -2, 55, -40, 2],
 [-15, 10, 13, -6, -2],
 [-11, -27, 5, -11, -35]]?

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


[User]
Calculate the rank of matrix A where A =
[[25, 0, 9, -36, 23],
 [-16, 0, -8, 20, -12],
 [-3, 0, -5, -1, 2],
 [17, 0, 19, -7, 0],
 [6, 0, 24, 21, -21]]

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


[User]
Find the rank of the matrix:
[[18, 7, -24, 2, 21],
 [18, 11, -5, 4, -3],
 [8, 37, 6, -16, 17],
 [34, 6, -42, 12, 40],
 [9, -6, 11, 12, -33]]

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


[User]
What is the rank of the matrix:
[[-48, 6, 38, 26, -24],
 [-12, -12, 26, 20, 36],
 [8, -16, 12, -4, -8],
 [32, -28, 4, -18, -8],
 [-54, 18, 29, 34, 2]]?

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


[User]
Find the rank of the matrix:
[[-10, -26, 1, 2, 23],
 [-4, -20, -2, -4, 2],
 [8, 4, -5, -10, -31],
 [8, 12, -3, -6, -25],
 [12, 60, 6, 12, -6]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-24, -15, -18, 33, -15],
 [12, 8, 12, -16, 12],
 [-8, -5, -6, 11, -5],
 [0, 1, 6, 1, 9],
 [-12, -6, 0, 18, 6]]

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


[User]
Find the rank of the matrix:
[[-35, -4, 31, -26, -4],
 [-19, 4, 11, -10, -8],
 [-5, 2, 2, -2, -3],
 [-10, 22, -13, 8, -23],
 [44, 4, -38, 32, 6]]

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


[User]
Find the rank of the matrix:
[[18, -2, -27, 30, 11],
 [-24, 16, 31, -30, -3],
 [-18, 2, 12, -24, 16],
 [30, 6, -26, 48, -14],
 [9, -31, -6, -6, -14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, 14, 16, 9, -2],
 [45, -20, 5, 0, 5],
 [13, 28, 45, 24, -3],
 [-20, -8, -24, -12, 0],
 [29, -34, -24, -15, 6]]

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


[User]
What is the rank of the matrix:
[[5, -30, -30, -30, 10],
 [-10, -32, -24, -28, 12],
 [-1, -17, -15, -16, 6],
 [-19, -1, 9, 4, 2],
 [24, -6, -18, -12, 0]]?

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


[User]
Calculate the rank of matrix A where A =
[[-66, -43, -6, -21, -44],
 [30, 17, 4, 7, 20],
 [-12, -12, 1, -8, -8],
 [-18, -5, -5, 1, -12],
 [-48, -32, -4, -16, -32]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[33, 24, 30, -14, -41],
 [17, 9, 22, -5, -24],
 [-17, -1, 10, -7, -8],
 [-15, 13, 22, -21, -28],
 [63, 2, 2, 22, -1]]

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


[User]
Determine the rank of the following matrix:
[[15, -10, 39, 3, 7],
 [2, -10, 11, 3, 1],
 [-6, 4, -72, 4, -16],
 [46, -4, 28, 8, 4],
 [17, 7, 20, -1, 5]]

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


[User]
Determine the rank of the following matrix:
[[6, -10, -8, -24, -70],
 [24, 44, -25, -13, 21],
 [-19, 4, -39, 8, -40],
 [-53, -15, -32, 53, 22],
 [0, 22, -33, -8, -42]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[34, 24, 12, -14, -6],
 [14, 19, -9, 4, -10],
 [15, 35, -15, 15, -15],
 [22, 40, -12, 12, -16],
 [29, 25, 3, -7, -9]]

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


[User]
Calculate the rank of matrix A where A =
[[44, 6, -18, 10, 0],
 [-20, 16, 3, 17, 5],
 [11, 7, 1, 41, 8],
 [0, 41, 1, -33, 16],
 [-16, -13, 25, 23, 10]]

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


[User]
Find the rank of the matrix:
[[38, -22, 26, -13, 6],
 [-17, 7, -15, 33, 9],
 [0, -6, 34, -4, 6],
 [-23, 25, -21, -39, -11],
 [5, -4, 14, 23, 28]]

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


[User]
Calculate the rank of matrix A where A =
[[11, 2, -21, -3, 5],
 [1, 26, -63, -29, -2],
 [16, -28, 41, 32, -3],
 [-7, 1, 14, -4, 25],
 [11, -15, 25, 10, 48]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[27, 37, -29, 28, -15],
 [36, 54, -17, 48, 7],
 [54, 42, -5, 12, 1],
 [54, 15, 6, -30, -9],
 [-60, -62, 20, -36, 2]]

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


[User]
Calculate the rank of matrix A where A =
[[-11, -37, -33, -11, 19],
 [2, -3, 3, 5, 4],
 [-10, -5, -17, 16, 55],
 [-23, -42, -13, -41, -53],
 [-1, -13, 15, -20, -56]]

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


[User]
Calculate the rank of matrix A where A =
[[17, 1, 16, 2, -6],
 [-27, 22, -15, -49, 19],
 [44, 8, -17, 22, -11],
 [13, -22, 35, 31, -15],
 [-42, -22, 3, 10, 5]]

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


[User]
Determine the rank of the following matrix:
[[-29, -10, 14, 50, -2],
 [-17, -9, 14, 31, 8],
 [8, 24, -20, -11, -25],
 [17, 58, -26, -9, -27],
 [7, -28, 2, -27, 9]]

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


[User]
What is the rank of the matrix:
[[4, 6, 16, -5, -4],
 [40, 60, -15, -15, 30],
 [-4, -6, 19, -2, -10],
 [32, 48, -17, -11, 26],
 [-4, -6, 29, -4, -14]]?

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


[User]
Find the rank of the matrix:
[[73, 6, -39, 23, -14],
 [18, -8, -19, 38, 53],
 [-46, -1, 27, -11, 7],
 [-19, 10, -3, 61, 38],
 [-11, -8, 7, -51, -32]]

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


[User]
Find the rank of the matrix:
[[29, -14, 50, -3, 9],
 [22, 0, 8, -10, 2],
 [10, -9, 29, 2, 5],
 [15, -8, 28, -1, 5],
 [12, -13, 41, 4, 7]]

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


[User]
Calculate the rank of matrix A where A =
[[-18, 16, 3, -18, 19],
 [-5, -4, -14, 21, 21],
 [31, -5, -19, -22, -41],
 [0, -3, 2, 7, 1],
 [-10, 12, 2, -18, 8]]

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


[User]
Calculate the rank of matrix A where A =
[[2, -9, 6, 14, -39],
 [-5, -16, 27, -14, -4],
 [15, 24, 15, -6, -44],
 [6, 17, -30, 18, -1],
 [0, 15, -60, 30, 35]]

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


[User]
Find the rank of the matrix:
[[6, 5, 18, -24, -22],
 [8, 28, -10, 6, -15],
 [-37, 2, 44, -31, 28],
 [-7, 19, 8, 43, 24],
 [17, -34, -46, 1, -8]]

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


[User]
Find the rank of the matrix:
[[6, 5, -7, 10, 3],
 [12, 10, 0, -8, -8],
 [-24, -20, 8, 0, 8],
 [24, 20, -12, 8, -4],
 [-24, -20, 24, -32, -8]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -4, 14, 5, -12],
 [10, 6, -2, -10, 4],
 [50, 17, -18, -12, -9],
 [-3, 0, 15, -3, -9],
 [26, 7, -8, -1, -11]]

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


[User]
Find the rank of the matrix:
[[-8, -1, -31, 14, 30],
 [32, -45, -21, -16, -14],
 [-8, -16, 11, -20, 24],
 [-2, -25, 33, 12, -2],
 [28, -44, -11, -36, -8]]

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


[User]
Determine the rank of the following matrix:
[[-38, -5, 8, -15, 11],
 [-3, 42, 19, -63, 29],
 [8, -47, -24, 38, -39],
 [9, 4, -37, 34, 33],
 [13, -35, -5, 3, -48]]

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


[User]
Calculate the rank of matrix A where A =
[[5, 2, -10, -3, 0],
 [-5, -2, 10, 3, 0],
 [7, 6, -10, -5, 8],
 [-6, -4, 10, 4, -4],
 [-28, -24, 40, 20, -32]]

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


[User]
Find the rank of the matrix:
[[8, -5, -7, -3, -9],
 [-23, -4, 7, 6, -24],
 [-26, -17, -1, 5, -61],
 [-10, -6, 0, 2, -22],
 [-3, -6, -3, 0, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, -12, 29, 2, -11],
 [11, 1, -24, -31, 9],
 [-19, -19, 35, 25, -48],
 [-26, -18, 46, 38, -36],
 [11, 14, -33, -28, 47]]

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


[User]
What is the rank of the matrix:
[[18, 1, 30, -4, -58],
 [36, -29, 31, 53, -20],
 [20, -15, -15, 42, 49],
 [-48, 48, -44, -78, 26],
 [-15, 30, -5, -43, -19]]?

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


[User]
Find the rank of the matrix:
[[-3, 18, 15, 9, -9],
 [5, 36, -3, -26, -18],
 [1, -30, -13, 1, 15],
 [5, 30, -5, -25, -15],
 [-6, -54, 0, 33, 27]]

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


[User]
Determine the rank of the following matrix:
[[-6, 15, 30, -36, -12],
 [8, -18, -23, 28, 15],
 [28, -18, -62, 12, -26],
 [-44, 54, 43, -3, -14],
 [-26, 3, 71, -4, 51]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 25, 15, 0, 5],
 [52, 24, 20, 42, -40],
 [-40, -36, -18, -14, 8],
 [-36, -27, -13, -17, 13],
 [4, -10, -13, 9, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[6, 24, 32, 11, 0],
 [-19, 9, -5, -32, 0],
 [5, -5, 3, 11, -4],
 [-9, -11, 13, 3, -28],
 [0, -10, -16, -3, 4]]

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


[User]
What is the rank of the matrix:
[[25, 1, -8, 42, 29],
 [37, 26, -4, 0, 22],
 [-44, -7, -8, -20, -17],
 [-72, -14, -4, -46, -40],
 [-23, -54, 26, 25, -33]]?

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


[User]
Find the rank of the matrix:
[[0, -17, 15, 14, -8],
 [0, -17, 15, 14, -8],
 [27, 26, 30, 15, -38],
 [-6, -28, -1, 16, 30],
 [3, 10, -19, -3, 36]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[21, 29, -31, -10, -22],
 [-30, -27, 21, 18, -6],
 [12, 37, -3, -6, 14],
 [38, 4, 0, -28, 49],
 [-48, -37, 27, 30, -20]]

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


[User]
What is the rank of the matrix:
[[7, 25, 49, 24, -13],
 [0, 15, 42, 20, -12],
 [23, 11, -1, -16, 13],
 [53, 59, 31, 8, 5],
 [-6, -24, -12, -24, 12]]?

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


[User]
Find the rank of the matrix:
[[-43, 35, -6, 1, 23],
 [29, -25, -4, 8, -27],
 [-57, 11, -25, 27, -24],
 [11, 9, 7, -9, -4],
 [2, -19, 3, 1, -13]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-19, -10, 9, 19, 23],
 [16, -20, -16, -10, -16],
 [49, -27, -3, -15, -19],
 [-39, 18, 5, 15, 19],
 [46, -17, -10, -22, -28]]

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


[User]
Calculate the rank of matrix A where A =
[[-12, 14, 2, 28, -60],
 [-12, 2, -2, 12, -12],
 [18, 6, 6, -6, -18],
 [0, 12, 4, 16, -48],
 [-12, 8, 0, 20, -36]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, 34, 13, -1, 44],
 [-31, 44, -33, -15, -16],
 [22, 36, 50, 40, -4],
 [4, 24, 17, 10, 14],
 [-10, -22, -29, -1, -72]]

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


[User]
Determine the rank of the following matrix:
[[18, -27, 10, 35, -5],
 [-9, 0, -23, -13, -2],
 [-6, 7, -6, -11, 1],
 [15, 2, 41, 21, 4],
 [-6, -11, -30, -5, -5]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[36, -26, 19, -29, 5],
 [-28, 30, -8, 30, -13],
 [8, -38, -19, -23, 40],
 [-8, -4, -9, -19, -12],
 [8, -8, 1, 7, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-32, -65, 2, -6, -15],
 [-6, 14, -46, -32, 18],
 [26, 17, 17, 57, -3],
 [21, -9, -21, -4, -18],
 [-42, 5, 10, -78, 18]]

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


[User]
What is the rank of the matrix:
[[-22, -14, 28, -7, 33],
 [8, 14, -24, 16, 16],
 [-32, 32, -28, -13, -35],
 [-18, 38, -14, -1, 33],
 [-4, 20, 28, -30, -10]]?

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


[User]
Find the rank of the matrix:
[[-3, 15, -36, -4, -8],
 [56, 10, -23, -8, -40],
 [55, -10, 12, 2, -28],
 [-32, -20, 2, 24, 24],
 [26, -20, 23, 16, -24]]

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


[User]
What is the rank of the matrix:
[[-20, 20, 14, 0, 46],
 [-8, 8, 20, -16, 44],
 [14, -14, 1, -12, -13],
 [-18, 18, 9, 4, 35],
 [-8, 8, 11, -6, 28]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-9, 25, 10, -14, 29],
 [48, -22, 37, 51, 3],
 [-49, -9, -33, -43, -44],
 [-5, 8, -18, -22, 36],
 [-51, 30, -47, -43, -25]]

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


[User]
What is the rank of the matrix:
[[23, 11, -7, -6, 38],
 [9, -23, 11, 25, 13],
 [-31, -6, 21, -40, -57],
 [23, -26, 12, 5, 26],
 [6, -48, -4, 19, -19]]?

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


[User]
Calculate the rank of matrix A where A =
[[21, 11, -19, -14, -19],
 [-34, -30, 44, 59, 51],
 [-18, -21, 16, 14, 17],
 [-14, 21, 10, 7, -7],
 [-24, -24, 38, 55, 52]]

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


[User]
Determine the rank of the following matrix:
[[2, -4, -19, 4, 14],
 [-10, -20, 15, 20, -30],
 [0, 12, 24, -12, -12],
 [10, 26, -3, -26, 24],
 [0, -4, -8, 4, 4]]

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


[User]
Determine the rank of the following matrix:
[[-58, 13, -47, -23, -13],
 [16, -28, 47, 16, 24],
 [28, -14, 54, -6, -10],
 [-22, -64, 0, 4, 50],
 [18, 85, 5, 9, -51]]

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


[User]
What is the rank of the matrix:
[[-46, -48, -30, -25, -32],
 [2, 4, 4, -6, 0],
 [-8, -4, 8, 10, -4],
 [34, -24, -46, 27, 24],
 [14, 58, 44, 13, 14]]?

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


[User]
Calculate the rank of matrix A where A =
[[-21, 21, -49, -17, 1],
 [-36, 25, 70, 4, 38],
 [19, -48, -59, -13, -21],
 [18, -37, -52, -10, -20],
 [-8, 60, 24, 12, 4]]

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


[User]
Find the rank of the matrix:
[[-4, -5, 4, 9, -1],
 [4, 1, -24, -22, 10],
 [12, 9, -24, -33, 9],
 [-20, 8, 26, 33, -13],
 [-20, 33, -44, -32, 12]]

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


[User]
Determine the rank of the following matrix:
[[3, -29, -22, 3, -6],
 [-8, 4, -4, 0, -9],
 [50, -20, -10, -30, 60],
 [6, -44, 2, 30, -9],
 [-5, 55, -10, -45, 15]]

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


[User]
Determine the rank of the following matrix:
[[-40, -26, 15, 19, 34],
 [40, 28, -26, -18, -36],
 [-30, -18, 3, 15, 24],
 [-10, -12, 34, 2, 14],
 [-30, -24, 36, 12, 30]]

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


[User]
Determine the rank of the following matrix:
[[24, 6, -6, -36, 12],
 [-14, -20, 20, 24, -10],
 [-27, -26, 26, 44, -17],
 [-20, 6, -6, 28, -8],
 [2, -16, 16, 0, -2]]

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


[User]
What is the rank of the matrix:
[[-13, 26, -6, -6, 22],
 [-22, 9, -8, 26, 33],
 [18, 31, -16, 2, -21],
 [-12, 29, -16, -8, 7],
 [-30, -71, 10, 21, 8]]?

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


[User]
What is the rank of the matrix:
[[-10, -12, 8, 12, 6],
 [-20, -19, 16, 29, 13],
 [-30, -51, 24, 21, 15],
 [30, 46, -24, -26, -16],
 [0, 5, 0, 5, 1]]?

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


[User]
Determine the rank of the following matrix:
[[-8, 9, -12, 37, 19],
 [20, -15, 2, -9, -31],
 [0, 24, -14, 74, 15],
 [-6, 30, 23, -17, 6],
 [0, -21, 10, -59, -12]]

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


[User]
Calculate the rank of matrix A where A =
[[9, -5, -7, -28, 45],
 [-21, -8, -8, 2, 6],
 [-15, 7, -15, 5, -24],
 [-5, 29, -33, -40, 31],
 [46, -42, 34, 8, 7]]

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


[User]
Find the rank of the matrix:
[[-22, -39, 8, -27, 42],
 [-12, -10, 10, -26, 6],
 [4, -6, -8, 18, 12],
 [-16, -32, 4, -16, 36],
 [8, 4, -8, 20, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[31, -33, -25, -78, -33],
 [-33, 11, 2, 30, -9],
 [-15, 27, -36, -34, 5],
 [5, 4, 19, -20, -43],
 [10, 8, -12, -16, 18]]

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


[User]
Determine the rank of the following matrix:
[[-34, -12, -4, -18, 11],
 [12, 19, -4, 15, -2],
 [-7, -22, -15, -34, 7],
 [35, 23, 23, 69, -1],
 [28, 14, 14, 68, 15]]

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


[User]
Determine the rank of the following matrix:
[[-27, -10, 4, 25, -31],
 [-4, 15, -44, 19, 8],
 [-50, 24, -14, 16, -10],
 [46, -17, 30, -33, 18],
 [30, -30, 25, -5, -10]]

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


[User]
Find the rank of the matrix:
[[-22, -6, 12, 22, 6],
 [-9, -5, -6, 13, -3],
 [14, 7, 6, -19, 3],
 [-4, 4, 24, -4, 12],
 [-11, 4, 36, 0, 18]]

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


[User]
Determine the rank of the following matrix:
[[4, -42, 14, -16, 46],
 [18, -36, 7, -18, 32],
 [-24, 6, 12, 12, 6],
 [-8, 39, -16, 14, -41],
 [20, 15, 10, 10, -25]]

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


[User]
Determine the rank of the following matrix:
[[36, -8, 7, 4, -32],
 [10, 4, 2, -36, 14],
 [10, -12, 25, 8, -14],
 [8, 6, -31, 27, -22],
 [-14, -2, 26, -35, 32]]

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


[User]
Find the rank of the matrix:
[[16, 14, -20, 9, -19],
 [-14, 24, 0, 24, 6],
 [13, 33, -9, 26, -28],
 [-11, -37, 13, -30, 26],
 [-27, 27, 27, 29, 11]]

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


[User]
What is the rank of the matrix:
[[-19, 1, 19, 11, 2],
 [26, 21, -9, -7, 8],
 [-1, -21, -15, -7, -10],
 [3, -12, -12, -6, -6],
 [-16, -11, 7, 5, -4]]?

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


[User]
Determine the rank of the following matrix:
[[4, 30, 0, 32, -10],
 [22, 12, -34, 23, -21],
 [10, 30, -10, 35, -15],
 [16, -15, -30, -7, -10],
 [-12, 9, 22, 3, 8]]

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


[User]
What is the rank of the matrix:
[[6, 21, 9, -5, 18],
 [2, -60, -6, 36, -18],
 [32, 21, 3, 3, 36],
 [-39, 6, 18, -10, -18],
 [11, 39, 2, -19, 21]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-18, 1, 7, -22, 12],
 [24, 18, -26, 24, 16],
 [-3, -28, 2, -20, -15],
 [-11, -26, 33, -53, -27],
 [18, 18, 78, -30, -60]]

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


[User]
Determine the rank of the following matrix:
[[38, 25, -7, 36, 19],
 [-28, -3, 39, -49, -94],
 [4, 15, 28, -12, -63],
 [-11, -3, 16, -47, -60],
 [59, 36, -46, -24, 24]]

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


[User]
Find the rank of the matrix:
[[29, 11, -11, 3, 19],
 [16, 21, -14, 11, -10],
 [27, 22, -18, 12, 0],
 [0, 29, -3, 3, -27],
 [50, 28, -28, 16, 16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-28, -43, 4, -18, -8],
 [-32, -64, 25, -15, -24],
 [-3, 15, 24, 29, 3],
 [-4, -42, 21, -11, -28],
 [-3, 5, -20, -11, 11]]

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


[User]
Find the rank of the matrix:
[[-52, 34, -24, 28, 44],
 [7, 19, -18, -56, 8],
 [-9, -11, 14, -16, 17],
 [-21, 4, -2, 54, 5],
 [27, -4, -2, -2, -29]]

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


[User]
Calculate the rank of matrix A where A =
[[-3, -13, -15, -6, 24],
 [-58, -12, -4, 56, -4],
 [42, 18, 16, 31, -52],
 [-34, -5, 4, -20, 24],
 [-13, -7, -31, 33, -4]]

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


[User]
What is the rank of the matrix:
[[31, 27, -3, 4, 12],
 [-4, 7, 6, 28, -17],
 [-58, -59, -39, -5, 25],
 [12, -6, -55, 30, 21],
 [-1, 7, 5, 25, -17]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-34, -38, -6, -16, -30],
 [-20, -20, -8, -4, -16],
 [13, 21, -10, 21, 16],
 [12, 24, -18, 30, 18],
 [26, 22, 18, -4, 18]]

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


[User]
Find the rank of the matrix:
[[18, -18, -18, -90, -66],
 [20, 25, 27, -9, -43],
 [14, -4, -49, -18, 3],
 [10, -15, -6, -63, -48],
 [14, 21, 33, -3, -37]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -5, 29, 17, 10],
 [1, -5, 18, 14, 5],
 [3, 6, -37, -21, -13],
 [-6, -3, 35, 15, 14],
 [-4, 11, -33, -29, -8]]

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


[User]
Find the rank of the matrix:
[[5, -37, -21, -5, 5],
 [-20, 1, 39, 40, 53],
 [-45, 0, -33, -6, -4],
 [-55, -19, 0, 26, 21],
 [-20, 31, 6, -3, -31]]

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


[User]
What is the rank of the matrix:
[[12, -39, -2, -11, 17],
 [37, 3, -2, -28, -13],
 [25, -2, -20, -31, -26],
 [20, 11, -25, -37, -42],
 [104, -37, 9, -19, 40]]?

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


[User]
Determine the rank of the following matrix:
[[13, -17, 13, -4, 12],
 [43, -60, 50, 11, 30],
 [-20, 31, -29, -25, -6],
 [-4, 2, 2, 22, -12],
 [17, -26, 24, 19, 6]]

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


[User]
Calculate the rank of matrix A where A =
[[-6, 2, 27, 27, 3],
 [64, 65, 2, 27, -46],
 [10, 1, -1, 0, -31],
 [-11, -29, -13, -18, -1],
 [-37, -40, 22, 14, 44]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[16, -24, 6, 18, 12],
 [-8, -2, -3, 15, 0],
 [-13, 23, -18, -10, -4],
 [-32, 28, 18, -26, -32],
 [2, 6, -18, 2, 8]]

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


[User]
What is the rank of the matrix:
[[-31, 66, 37, -25, 8],
 [-40, 20, -18, -2, -42],
 [14, -51, -5, 43, -20],
 [10, -41, -60, -10, -45],
 [-25, -6, 13, 48, -3]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-41, -39, -14, -43, 23],
 [7, -10, -12, 40, -31],
 [47, 27, 62, 10, 1],
 [22, -1, 54, -13, 12],
 [10, -14, 20, 12, -10]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-1, -31, 30, 9, 10],
 [-8, 4, -5, -12, 3],
 [9, -9, 10, 15, -2],
 [-42, -6, 0, -54, 24],
 [-7, -1, 0, -9, 4]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[20, 42, -6, 4, -10],
 [-8, -56, -2, -16, 6],
 [6, -22, -4, -16, -22],
 [0, -11, -5, 6, 47],
 [26, 65, -7, 10, -9]]

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


[User]
Determine the rank of the following matrix:
[[21, -17, 21, 9, -3],
 [-11, -1, -27, -19, -5],
 [14, -30, -11, 10, 32],
 [17, -13, 21, 25, 23],
 [25, -45, -8, 17, 43]]

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


[User]
What is the rank of the matrix:
[[-24, -4, -3, 20, 0],
 [-56, -20, 3, 36, -8],
 [-30, 7, -15, 37, 9],
 [-26, -11, 3, 15, -5],
 [0, -32, 30, -32, -24]]?

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


[User]
Calculate the rank of matrix A where A =
[[10, 6, -13, -12, -6],
 [-6, -8, 12, 6, 8],
 [1, 16, -16, 3, -16],
 [1, -6, 5, -3, 6],
 [8, -4, -2, -12, 4]]

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


[User]
Calculate the rank of matrix A where A =
[[16, 11, 42, -7, 16],
 [-15, 3, -40, 0, -10],
 [-12, 23, -4, -12, 17],
 [1, -1, -8, 4, -10],
 [-3, 9, -31, 0, -16]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[31, -29, -25, 18, -20],
 [-2, -5, 8, 0, -9],
 [-19, 10, -23, -39, -3],
 [13, 0, -7, 15, 11],
 [34, -42, -28, 15, -38]]

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


[User]
Calculate the rank of matrix A where A =
[[-2, -26, -36, 38, -28],
 [16, 32, 30, -25, -12],
 [-36, -22, -6, 18, 68],
 [-27, -19, 4, 30, 46],
 [-7, -33, -15, 1, 11]]

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


[User]
Calculate the rank of matrix A where A =
[[23, -51, -24, -48, -10],
 [-11, 4, 22, -45, -20],
 [-31, 8, 29, 21, -26],
 [58, -8, 22, -12, -10],
 [-64, 13, -8, 9, 0]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-6, -18, 27, 6, -6],
 [7, 34, -49, -13, 15],
 [-17, -12, 24, -1, 7],
 [-2, -6, 9, 2, -2],
 [13, 26, -41, -7, 5]]

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


[User]
Determine the rank of the following matrix:
[[-3, 9, 11, 2, -10],
 [9, 18, 12, -24, -15],
 [-9, 12, 18, 12, -15],
 [9, -22, -28, -8, 25],
 [-9, 12, 18, 12, -15]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[6, 16, -34, 19, 3],
 [-34, 12, -28, -8, -14],
 [16, 23, -22, 22, -9],
 [5, 12, -24, 17, 0],
 [-22, 3, -24, 17, -10]]

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


[User]
Calculate the rank of matrix A where A =
[[23, 20, -18, -11, -15],
 [19, 19, -22, -13, -10],
 [-13, 27, -12, -5, -28],
 [-13, 19, -33, -17, 1],
 [-21, 33, 1, 3, -47]]

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


[User]
Calculate the rank of matrix A where A =
[[-45, -49, 29, 3, 4],
 [-27, -21, 6, -16, -10],
 [-48, -15, 24, -18, -6],
 [18, 30, 21, 53, 46],
 [21, 6, -51, 5, 14]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-3, -72, 3, 15, 0],
 [45, -14, -13, 4, 4],
 [-24, -4, -15, -38, 14],
 [21, 43, -17, -36, 22],
 [40, 7, -54, -86, 50]]

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


[User]
What is the rank of the matrix:
[[-21, 17, -26, -21, 29],
 [-6, 5, -8, -6, 11],
 [1, -2, 6, 1, -24],
 [-23, 17, -22, -23, 1],
 [30, -24, 36, 30, -36]]?

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


[User]
What is the rank of the matrix:
[[-23, 24, 4, -5, 28],
 [23, -22, -38, 27, 20],
 [11, 1, 20, -28, -47],
 [-12, 20, 1, -4, 21],
 [10, 7, 8, -27, -31]]?

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


[User]
Determine the rank of the following matrix:
[[-6, 16, 30, 55, -38],
 [0, -6, 10, 15, -2],
 [1, -2, -24, 11, 6],
 [-57, 31, 41, 52, -5],
 [-50, -10, 18, 78, 30]]

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


[User]
Determine the rank of the following matrix:
[[-20, 1, 25, -46, 13],
 [15, -6, 11, -11, 27],
 [10, -2, 5, -8, 4],
 [-22, 5, 3, -12, -13],
 [28, -2, 8, -20, -14]]

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


[User]
Determine the rank of the following matrix:
[[3, -15, -9, 0, 9],
 [10, -26, 1, -25, 37],
 [-10, 10, 12, -10, 0],
 [9, -27, -29, 20, 1],
 [-12, 2, 20, -30, 20]]

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


[User]
Calculate the rank of matrix A where A =
[[-38, 15, -5, 11, -4],
 [14, 10, 18, -26, 28],
 [12, -19, 1, 1, -10],
 [31, -28, 16, -15, 2],
 [-2, 3, -5, 6, -3]]

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


[User]
Find the rank of the matrix:
[[-28, -6, -30, 4, -8],
 [-26, 6, -36, 2, -4],
 [7, -12, 17, 1, -2],
 [26, 21, 17, -6, 12],
 [-24, 18, -42, 0, 0]]

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


[User]
Find the rank of the matrix:
[[-68, 13, 8, -11, -32],
 [20, 4, 32, 44, -25],
 [-33, 0, -43, -37, -6],
 [14, -38, 29, 13, 43],
 [11, -48, 15, 25, 19]]

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


[User]
What is the rank of the matrix:
[[-42, -11, -20, 5, 6],
 [-40, 53, 5, 28, 16],
 [24, 29, 14, -21, -2],
 [41, 24, 15, -38, -18],
 [1, 13, 15, 44, 14]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[60, 33, 15, 30, 21],
 [28, 10, 12, 8, 26],
 [-42, 3, -22, 8, -17],
 [24, -21, 23, -26, 23],
 [26, -10, 19, -14, 22]]

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


[User]
Determine the rank of the following matrix:
[[21, 21, -2, 23, -48],
 [-15, 12, 4, -6, 45],
 [-36, -45, -17, -43, 36],
 [3, 24, 12, 9, 4],
 [18, 24, 13, 20, -25]]

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


[User]
Calculate the rank of matrix A where A =
[[42, 34, 18, -22, -36],
 [-57, 1, -38, 2, -4],
 [0, 51, 25, -24, -22],
 [27, -27, 8, 12, 16],
 [3, -17, 1, 9, 14]]

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


[User]
What is the rank of the matrix:
[[-14, 3, 15, -12, -9],
 [-3, -17, -37, 20, 19],
 [15, 16, 38, -22, -20],
 [-8, 6, 12, -6, -6],
 [-10, -14, -31, 17, 16]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-56, -56, -55, -33, 4],
 [-44, -82, -38, 2, 60],
 [22, 40, 15, 58, -2],
 [-10, -16, -28, 17, 38],
 [30, 11, 46, -2, -2]]

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


[User]
Determine the rank of the following matrix:
[[8, 12, 2, 4, 6],
 [-2, 16, 14, 0, 2],
 [36, 16, -20, 16, 20],
 [-10, 42, 41, -2, 3],
 [40, 22, -19, 18, 23]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[15, 10, -67, -72, 10],
 [-13, 31, 1, -12, -45],
 [18, -37, -11, 5, 39],
 [26, -13, -40, -30, -13],
 [30, -29, 13, 37, -68]]

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


[User]
What is the rank of the matrix:
[[-14, -35, -30, 17, -13],
 [-12, -10, -17, -19, 39],
 [-1, -3, 3, -5, 6],
 [0, 5, -8, 5, -3],
 [-14, -20, -16, -18, 36]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, -38, 35, 6, 31],
 [2, 3, 16, 19, 29],
 [-3, 11, -16, -3, -20],
 [27, 37, -26, 0, -10],
 [-7, 42, 22, 65, 33]]

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


[User]
Determine the rank of the following matrix:
[[-40, 20, -12, -34, 28],
 [-38, 12, -3, -26, 14],
 [-34, 16, -9, -28, 22],
 [-10, 0, 3, -4, -2],
 [8, -2, 0, 5, -2]]

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


[User]
What is the rank of the matrix:
[[28, -27, -3, 15, -1],
 [-24, 40, -16, -12, 4],
 [-6, -22, 28, -5, -1],
 [13, -6, 15, 10, -28],
 [17, -27, -30, 4, 46]]?

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


[User]
Determine the rank of the following matrix:
[[-25, 6, -2, -18, 30],
 [-1, 4, -6, 14, -33],
 [-32, 30, -30, -46, 4],
 [-4, 6, -15, -6, -20],
 [-1, 8, -1, 8, -20]]

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


[User]
Find the rank of the matrix:
[[-3, 11, 15, -24, 31],
 [-13, -2, -27, 5, -33],
 [-7, 12, 10, 7, -5],
 [4, -22, 46, 6, -8],
 [4, 15, -3, 49, -28]]

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


[User]
Find the rank of the matrix:
[[0, -11, -19, 24, 12],
 [-37, 47, 50, 45, 5],
 [14, -20, -33, 7, 26],
 [12, 6, 0, -12, 36],
 [14, -28, -19, 37, 26]]

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


[User]
Determine the rank of the following matrix:
[[0, -5, -14, -23, 33],
 [-45, -4, -30, -4, 0],
 [-48, -3, -21, 0, -12],
 [11, 7, -6, 35, -25],
 [-48, -5, -18, -11, -3]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-20, 13, 25, 3, -6],
 [-42, -24, -21, -3, 54],
 [-72, 11, 13, 3, 18],
 [18, -34, 19, -3, 54],
 [-2, 2, 54, 3, 12]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-5, 2, 3, 4, 17],
 [-10, 10, 5, 20, 55],
 [-9, 12, 4, 24, 60],
 [-10, 4, 6, 8, 34],
 [-12, -12, 10, -24, -18]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-8, 10, -3, 1, -10],
 [20, -16, -7, 31, 18],
 [24, -28, -9, 15, 20],
 [12, -5, 23, 11, 27],
 [8, -13, 2, -8, 9]]

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


[User]
Find the rank of the matrix:
[[4, -18, 5, 10, 21],
 [-14, 11, 2, 17, -15],
 [-6, -1, 3, 13, 0],
 [12, 10, -9, -34, -9],
 [-8, -4, 5, 20, 3]]

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


[User]
Determine the rank of the following matrix:
[[-19, -4, -38, 19, -14],
 [-9, 34, -18, 9, -36],
 [23, 6, 46, -23, 16],
 [2, 12, 4, -2, -8],
 [14, -48, 28, -14, 52]]

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


[User]
Find the rank of the matrix:
[[32, -33, -7, 3, 3],
 [-10, 21, 7, 28, 17],
 [0, 2, 20, 5, 10],
 [-4, 11, -31, 19, -1],
 [15, -21, -32, -13, -17]]

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


[User]
Calculate the rank of matrix A where A =
[[7, -1, 10, -25, 6],
 [-5, 11, -6, 27, -2],
 [10, 5, 15, -30, 10],
 [18, 36, 30, -30, 24],
 [12, 15, 19, -28, 14]]

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


[User]
What is the rank of the matrix:
[[68, -17, -55, -34, -16],
 [78, 6, -68, -20, 2],
 [66, -9, -63, 4, -28],
 [-1, 11, -11, 12, -13],
 [-45, 19, 43, 8, 35]]?

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


[User]
What is the rank of the matrix:
[[-17, 19, 0, 17, -12],
 [-19, -1, -14, 19, -20],
 [-27, 27, -2, 27, -20],
 [-1, 17, 10, 1, 4],
 [37, -8, 21, -37, 36]]?

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


[User]
Determine the rank of the following matrix:
[[-16, 3, 1, 13, -11],
 [32, -6, -2, -26, 22],
 [-7, 6, -8, 6, 3],
 [-14, 12, -16, 12, 6],
 [-25, 0, 10, 20, -25]]

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


[User]
What is the rank of the matrix:
[[-45, 25, -10, -20, 35],
 [6, 9, -10, 6, -2],
 [39, -30, -10, 24, -29],
 [-42, 36, -24, -12, 30],
 [-33, 20, 18, -18, 9]]?

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


[User]
Determine the rank of the following matrix:
[[8, -2, 4, -8, 0],
 [0, -21, 10, -14, -14],
 [-19, 16, -23, 17, -2],
 [-7, 28, -19, 21, 14],
 [52, -28, 40, -54, -2]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-2, 8, 2, -12, 12],
 [20, 18, 1, -27, 13],
 [-2, 8, 2, -12, 12],
 [-34, -4, 4, 6, 14],
 [22, 24, 2, -36, 20]]

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


[User]
Determine the rank of the following matrix:
[[-44, 57, 13, 73, 9],
 [22, -29, 4, -28, -4],
 [23, -40, -3, -29, -2],
 [-20, -6, -33, 34, 9],
 [-17, 17, 10, 21, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[-4, 25, -30, -33, 10],
 [0, 8, -12, -8, 2],
 [-20, -24, 66, -4, 4],
 [-2, -24, 39, 30, -11],
 [-16, 31, -24, -7, -16]]

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


[User]
What is the rank of the matrix:
[[-32, -2, 6, -12, -23],
 [-44, -14, -40, -2, -30],
 [74, 14, 30, 12, 50],
 [16, 20, 72, -12, 12],
 [12, -10, -42, 12, 7]]?

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


[User]
Find the rank of the matrix:
[[-14, -24, 12, -12, 26],
 [-8, -6, -9, -12, -25],
 [9, 10, -11, 20, -32],
 [6, 2, -2, 19, -10],
 [25, 44, 4, 4, 31]]

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


[User]
Find the rank of the matrix:
[[-50, -21, 26, 58, 7],
 [4, -24, 8, 8, -8],
 [-9, -39, 10, 26, -11],
 [-51, 0, -4, 44, 8],
 [62, 3, -30, -62, -17]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[0, -10, -28, -4, 14],
 [30, 0, 33, 24, -24],
 [32, -14, -4, 20, -6],
 [26, -2, 23, 20, -18],
 [-14, 3, -7, -10, 7]]

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


[User]
What is the rank of the matrix:
[[-17, -17, 2, -19, 14],
 [-17, 17, 27, 7, 2],
 [22, -18, -32, -6, -4],
 [-28, -8, 18, -16, 16],
 [-42, -12, 27, -24, 24]]?

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


[User]
Calculate the rank of matrix A where A =
[[-18, 15, 7, -16, -14],
 [-43, -28, -43, -21, 35],
 [6, 9, 9, 4, -6],
 [8, -4, 4, 0, -8],
 [35, 38, 55, 5, -59]]

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


[User]
What is the rank of the matrix:
[[12, 8, -6, -6, -10],
 [-38, -27, 15, 14, 35],
 [8, 7, 0, 1, -10],
 [-30, -20, 15, 15, 25],
 [6, 14, 21, 27, -25]]?

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


[User]
What is the rank of the matrix:
[[-16, -3, 36, -16, 7],
 [8, 10, -11, 36, 14],
 [-21, -8, 31, -22, 5],
 [-25, -35, -11, -38, -24],
 [-19, -14, 37, -39, -9]]?

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


[User]
Compute the rank of the given 5x5 matrix:
[[-64, 51, 64, -26, 60],
 [-29, -12, -1, 7, 35],
 [34, 30, 9, 4, -38],
 [-42, 43, 50, -32, 41],
 [-12, -3, -1, 32, 9]]

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


[User]
Determine the rank of the following matrix:
[[-20, -11, -14, 12, -17],
 [-30, 47, 10, -30, -12],
 [-10, 44, 28, -26, -21],
 [15, -14, 2, 9, 3],
 [-25, 0, -10, 5, -20]]

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


[User]
Find the rank of the matrix:
[[0, -21, -42, -3, -21],
 [27, 28, -9, 20, -11],
 [-4, -12, -9, -7, -3],
 [-1, 20, 30, 9, 14],
 [-3, -17, 6, -22, 7]]

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


[User]
Compute the rank of the given 5x5 matrix:
[[14, -16, 2, -16, -18],
 [-7, -17, 17, -10, 8],
 [8, -2, -4, -4, -10],
 [-11, -16, 19, -8, 13],
 [10, -40, 22, -32, -14]]

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


[User]
Find the rank of the matrix:
[[33, -6, 54, -21, 9],
 [24, 0, 36, -36, 24],
 [1, 2, 0, -11, 9],
 [-15, 10, -30, -25, 25],
 [28, -8, 48, -4, -4]]

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


[User]
Calculate the rank of matrix A where A =
[[-8, -5, 10, -6, -1],
 [0, 15, 0, -6, -9],
 [-24, 30, 30, -36, -30],
 [-16, 15, 20, -22, -17],
 [0, 30, 0, -12, -18]]

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


[User]
What is the rank of the matrix:
[[4, -2, 16, 0, 21],
 [-10, 22, -34, -34, -19],
 [-30, -8, -26, 32, -41],
 [-42, 19, -64, 1, -42],
 [4, -16, 28, -2, -20]]?

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


[User]
Determine the rank of the following matrix:
[[-14, -10, -15, 6, 61],
 [-6, -13, -16, 3, 46],
 [15, 9, 6, -3, -37],
 [-31, -8, -3, 21, 35],
 [41, 0, 5, -30, -64]]

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


[User]
Calculate the rank of matrix A where A =
[[18, 4, -15, -17, -7],
 [-18, 8, 2, 46, -15],
 [-16, 4, 41, 7, 16],
 [20, -2, -6, -29, 5],
 [-8, -60, -45, 25, 21]]

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