[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-4, -1, -3, -3],
 [-3, 2, 4, 1],
 [4, -2, 4, 1],
 [0, 3, -3, 4]]

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

dataset: MATH


[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-1, -4, -3, -3],
 [0, 3, -4, 3],
 [1, -3, 4, 0],
 [0, 1, 4, -4]]

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


[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[2, -2, -1, 1],
 [2, 1, -4, 4],
 [4, 0, 1, 4],
 [-3, 2, 2, 0]]

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


[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[2, -1, 3, -2],
 [0, 2, -1, 1],
 [2, -3, -1, 1],
 [1, 2, -3, -3]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-2, -2, 3, -3],
 [4, -4, -2, -2],
 [2, -1, 3, 3],
 [-3, -4, -2, -4]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-1, 0, 0, -3],
 [1, -1, 0, -1],
 [-3, 3, 1, 0],
 [4, -1, -2, -3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[4, -2, -4, 1],
 [-4, -4, -2, 0],
 [3, 0, 3, -2],
 [-3, 0, 1, 1]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[0, -1, 2, 3],
 [1, 1, -3, 4],
 [-2, -3, -1, 2],
 [2, -1, -1, 4]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[2, 3, 3, 1],
 [3, 0, 4, -4],
 [4, -3, 1, 0],
 [4, -4, 3, 4]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[3, 0, -1, -3],
 [0, 2, -4, 1],
 [4, 2, -2, -4],
 [-3, -2, 2, 0]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[1, 0, 3, -3],
 [-4, 2, 1, -3],
 [-3, 1, -1, -3],
 [4, 1, 0, 2]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[4, 0, 2, -1],
 [2, -1, -4, -2],
 [0, -3, 3, -3],
 [-1, 1, -3, 1]]

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


[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-3, 4, 4, -2],
 [-2, -3, -3, -3],
 [-1, 1, -1, -4],
 [-4, 3, -3, -1]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[1, 2, 3, 3],
 [1, 4, -4, 0],
 [-4, 2, 3, -1],
 [-4, -2, 3, -2]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-4, 1, -3, 4],
 [0, -1, 3, 4],
 [3, 1, -2, 4],
 [1, 4, 4, 4]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[0, 4, 0, -4],
 [-3, 2, 1, -3],
 [0, -3, -4, 3],
 [-4, 4, -4, 0]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[2, 1, 2, 4],
 [1, 2, -2, 2],
 [0, 4, 2, 2],
 [-3, -2, -1, -2]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-4, -2, -2, 3],
 [-1, 1, 3, -1],
 [-2, 2, -2, 3],
 [0, 0, 4, -3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-1, 2, 0, 2],
 [-3, 2, -2, 2],
 [2, -3, 4, 0],
 [-4, 2, 3, 3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-2, -2, -1, 0],
 [3, 4, -3, 0],
 [-2, -2, 2, -1],
 [1, -2, 1, -4]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[4, -2, -2, 4],
 [1, 3, -2, 3],
 [2, 2, 4, -4],
 [-4, 3, 3, -3]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[2, 0, -1, 1],
 [0, 1, -4, -4],
 [3, 3, -1, 3],
 [-4, 2, 1, 2]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[4, 2, 0, -4],
 [4, 4, 3, -1],
 [3, 0, 1, 1],
 [-2, 1, -2, 2]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[2, 4, 4, -2],
 [1, -1, -2, -1],
 [-1, 4, -1, -1],
 [-2, 3, -1, 0]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-3, 0, 1, -4],
 [3, -4, 1, 3],
 [4, 2, -4, -2],
 [3, 2, 0, 1]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[1, -3, 4, 3],
 [3, 3, -3, -2],
 [-2, 0, 1, 2],
 [3, -3, 4, 1]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-1, 4, 1, -1],
 [-1, -2, 3, 1],
 [4, 3, 3, 0],
 [-1, 3, -1, 3]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-2, 4, -1, 3],
 [4, 1, 2, -3],
 [-4, -3, 4, -1],
 [-3, -3, -1, -4]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[3, 1, 3, -3],
 [4, 3, -4, 2],
 [-1, 4, 0, 0],
 [-2, 4, -2, -1]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-1, -2, -4, 1],
 [3, 2, 2, 2],
 [-1, -1, -3, 0],
 [0, 4, 2, -3]]

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


[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-2, -2, -2, -3],
 [1, 1, -4, 4],
 [-1, 4, -3, -1],
 [4, 0, 0, 1]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-2, 1, -3, -3],
 [-3, 3, 0, -4],
 [2, 4, 4, -3],
 [2, -1, -3, 3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[1, -2, -3, 3],
 [1, 0, -1, 4],
 [0, 2, 2, 2],
 [1, 1, -1, -1]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-2, 3, -4, -4],
 [4, -3, 0, -2],
 [0, -1, 3, 1],
 [-4, -1, 0, 1]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[4, -2, -3, 3],
 [4, 4, 2, 4],
 [0, 4, -3, -3],
 [-1, 0, 2, 4]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-2, -1, -2, 3],
 [-2, 0, -2, -4],
 [-3, -4, 0, -1],
 [-4, 2, 1, 4]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-1, -4, 0, 2],
 [-4, 1, -3, -1],
 [2, -2, 0, 1],
 [3, -1, 0, 2]]

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


[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[4, 2, 2, 4],
 [1, 0, 0, -2],
 [-1, 0, -1, -1],
 [-4, 2, 0, -3]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-1, 4, 3, -2],
 [-4, 2, 2, 1],
 [-2, 1, 2, 0],
 [4, -1, 4, 4]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-4, 3, -4, 0],
 [-2, 0, -1, 3],
 [4, -3, 0, 1],
 [-1, -4, 1, 0]]

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


[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[1, -1, 1, -2, 1],
 [1, -2, -5, 0, 3],
 [-2, -6, -3, 0, 2],
 [1, 4, 6, 2, -2],
 [-5, 3, 6, 0, 2]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[1, 3, 0, 1, -4],
 [-4, 1, -5, 6, 2],
 [-5, -3, 0, 6, 1],
 [3, -1, 6, 3, 6],
 [2, -6, -1, -1, 5]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-3, -3, -5, -3, 3],
 [-3, -2, -5, -5, -5],
 [5, 6, 0, 6, 3],
 [1, 6, 4, 4, 2],
 [3, -2, -5, 5, 6]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-2, 3, -1, -6, -4],
 [0, -5, -4, -4, -2],
 [1, 5, -2, 1, -1],
 [3, -4, -6, -4, 4],
 [1, 6, -2, 3, 0]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-4, 5, -2, 3, 6],
 [-1, -1, -4, -5, -4],
 [5, -6, -6, 0, 1],
 [-3, -1, -1, -6, -6],
 [0, 6, 2, -2, 4]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[1, 6, 0, -3, 1],
 [-3, -5, 0, 1, 1],
 [-3, 5, 6, 3, 4],
 [-5, 3, 4, 3, -1],
 [-2, -2, 3, 6, 2]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-2, 3, 0, 0, 2],
 [4, -4, 5, 1, 6],
 [-3, -1, 1, 5, -1],
 [2, 4, -6, 6, 0],
 [0, 1, 3, 1, 1]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[0, 3, 0, 5, 0],
 [1, -5, -5, -4, -3],
 [4, 0, 3, 6, 5],
 [-1, -2, 1, 4, 0],
 [6, -5, -2, -4, 1]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[4, 2, 1, 6, -6],
 [3, 2, 0, -4, 5],
 [4, -4, 2, -5, -4],
 [5, -6, 5, 1, -1],
 [6, 3, 3, 6, -2]]

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


[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[-1, -4, -3, 0, -4],
 [2, -4, 3, -2, -5],
 [3, 1, 5, -2, -3],
 [0, 6, -5, -4, -6],
 [-2, 0, -5, 5, -2]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[6, 2, 2, -3, -5],
 [-3, -1, 3, -2, 0],
 [-2, 5, 0, 4, 2],
 [0, 2, 1, 6, 0],
 [3, -3, -2, 5, 3]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-1, -1, -5, -5, -3],
 [-4, 2, -4, -4, 5],
 [-5, -4, 6, 0, 0],
 [6, -3, -6, 4, -3],
 [1, -3, 1, 1, -4]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[2, -1, -3, -5, 3],
 [6, -3, 6, -3, 5],
 [-6, -2, 3, 3, 2],
 [-6, 3, 5, 4, -2],
 [2, -3, 5, 2, 3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-1, -1, -6, -5, -6],
 [-4, 1, -3, 5, 6],
 [3, -1, -4, 1, 2],
 [0, 3, -1, -6, -4],
 [4, 0, -5, 2, -1]]

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


[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[3, -4, 4, 5, 0],
 [-1, 2, 2, -6, 2],
 [3, -4, -6, 5, 6],
 [3, -4, -6, 4, 5],
 [4, 2, -1, 5, -3]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-2, 3, 3, -1, 4],
 [1, 6, 1, 6, 0],
 [6, 0, -4, -1, 0],
 [1, 3, 1, 2, -6],
 [-2, -3, -6, 0, -5]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[6, -2, -5, -6, 3],
 [0, 2, 0, -4, 4],
 [-2, -6, -1, -2, -1],
 [-4, -5, -4, 5, 6],
 [-4, -3, 6, -3, 4]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[0, 4, 4, 6, -6],
 [1, -3, 2, -6, -1],
 [2, -6, -5, 3, 6],
 [-5, 1, 2, 3, -1],
 [-1, 6, -6, 3, 3]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-4, -6, 4, -2, -5],
 [-1, 4, 6, -5, 2],
 [2, 1, -1, 2, 3],
 [-2, 6, -4, -1, 0],
 [5, 2, -3, 1, 1]]

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


[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-2, -6, -1, 0, -3],
 [2, 5, 6, -2, -2],
 [-6, 0, 0, -3, -2],
 [-2, 1, 5, -1, 1],
 [-3, -6, -3, 0, -4]]

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


[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-1, -1, 4, -5, 5],
 [6, -2, -2, 2, -2],
 [3, -6, 5, -2, 6],
 [0, 4, 6, 0, -1],
 [-4, 4, -5, 3, 4]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[1, -1, 4, 5, 5],
 [-4, -2, 0, -6, -5],
 [-5, 6, 6, 1, -5],
 [-4, 3, 0, -1, 4],
 [-6, -3, 1, 6, 5]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[5, 4, 6, -1, -2],
 [1, 2, 2, 2, 1],
 [-4, 3, -3, -1, -6],
 [3, -6, 3, 3, -5],
 [-1, 1, 5, 5, 1]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-4, 6, -2, -4, 6],
 [6, -3, 1, 1, -2],
 [0, -6, 4, 1, -4],
 [5, -5, 2, 6, 6],
 [-3, -4, 5, 0, 1]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[3, -1, -3, -4, -4],
 [-5, -5, 6, -1, -5],
 [2, 6, -4, -4, 5],
 [6, 6, 5, -3, 3],
 [-2, -2, -1, 6, 0]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-3, -2, 5, 5, -3],
 [-1, 4, -3, -6, -3],
 [-5, -1, -1, -2, 3],
 [3, -6, 4, 1, -2],
 [5, 1, 3, 4, 5]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-4, 6, -6, 2, 5],
 [-5, 1, -3, 0, -5],
 [4, -4, -6, 6, -4],
 [5, -6, -4, -1, -6],
 [0, -1, -2, -1, -6]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-5, -3, -3, 1, -2],
 [4, 4, -6, 1, 2],
 [2, 5, 1, -3, 2],
 [-1, 6, 0, 2, -2],
 [-2, 0, -1, -3, -4]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-4, 5, -1, 0, 3],
 [4, -3, 0, 0, -4],
 [-2, 6, 6, -1, 0],
 [-6, 6, 4, 6, 3],
 [-3, 3, -5, 5, -3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[0, 6, 2, -1, -2],
 [5, 2, -4, 0, -5],
 [-4, 4, 4, 0, 1],
 [5, -6, 1, 5, -6],
 [4, 4, -3, 6, -4]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-2, 4, 6, 5, -2],
 [-1, 5, -1, 3, 0],
 [6, 4, 5, 0, -2],
 [-3, 2, 3, -5, -2],
 [-3, 5, -6, -5, 4]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-1, -5, -1, -2, -3],
 [-3, 4, 0, 5, -1],
 [6, -4, 1, -5, -1],
 [-2, 6, 5, 5, -2],
 [-3, 4, -3, -6, -3]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[5, 0, -3, 0, -4],
 [-6, -1, -4, -1, -3],
 [6, -1, 4, -3, 1],
 [5, -4, 0, 5, 3],
 [6, -4, 2, -6, 4]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-5, -3, 3, 6, 0],
 [2, 6, -2, -4, 2],
 [0, -1, -4, 5, 3],
 [4, 4, 0, 5, -1],
 [6, 4, -6, 2, -5]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[2, -3, 0, 6, 6],
 [1, 5, -3, 2, 2],
 [5, -4, 1, -5, 0],
 [-4, -5, 2, 1, -1],
 [0, 2, 0, 2, 2]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-5, 5, -3, 5, -4],
 [4, -5, 3, 0, 6],
 [1, -2, 5, 6, 2],
 [4, 2, 4, 6, 2],
 [-1, 6, -3, -6, -6]]

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


[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-4, 3, 4, 3, 2],
 [-3, -3, -6, 3, 3],
 [-6, 5, 6, 2, 0],
 [-2, 4, 5, -2, 4],
 [-3, -2, -5, -4, 2]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[5, -1, -5, 5, -2],
 [2, 3, 6, 1, 6],
 [3, 1, 2, 1, -3],
 [0, 2, -5, 5, -2],
 [4, 2, 1, -1, 2]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-5, -5, -1, -6, -6],
 [-2, 4, -2, 5, -5],
 [-4, -1, -3, 4, -3],
 [-5, -5, 1, -5, -6],
 [-4, 1, 2, 4, -5]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-1, -6, 5, 5, -6],
 [0, -2, -4, -1, 3],
 [3, -3, -1, 0, -6],
 [2, -1, 2, -6, -3],
 [5, 0, 0, -6, -1]]

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


[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-2, 4, 2, 3, -5],
 [3, 6, -1, -3, -4],
 [4, 2, 2, 6, -1],
 [-3, 5, -2, -4, 3],
 [-6, -3, 0, 6, -5]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[6, 0, 5, -6, -6],
 [-3, -5, -4, 5, -6],
 [4, 2, -5, -4, -4],
 [-4, -3, -1, 4, 5],
 [6, 3, 5, -1, -1]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-4, 1, 3, 6, 0],
 [6, -4, -5, 6, 5],
 [1, 0, 3, 6, 1],
 [3, 3, -4, 2, -6],
 [1, 6, 1, 0, 2]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[4, -1, -5, 3, 1],
 [4, -6, 0, -1, 5],
 [-4, 2, -4, 6, -4],
 [3, 6, -5, -2, 2],
 [-1, -2, -1, -5, 3]]

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


[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[5, -5, -1, 3, 4],
 [0, 5, -2, 1, 4],
 [3, 5, 2, 4, -6],
 [2, 0, -2, 3, 1],
 [-5, -1, -3, -3, 3]]

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


[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-4, -1, 3, -3, 4],
 [2, 0, -1, -1, -6],
 [6, -1, -5, -1, -2],
 [-2, 4, -6, -4, 0],
 [1, 6, -6, -2, -6]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-3, 4, 4, -2, 0],
 [-5, 0, -5, 0, -6],
 [-6, -6, 5, 4, -2],
 [6, 2, -5, -4, 6],
 [2, 2, 0, -3, -2]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[6, 4, 1, 0, -2],
 [0, 4, -1, -5, -6],
 [-3, -4, 4, -4, -5],
 [-5, 0, 5, -2, -2],
 [3, 1, -4, 6, 0]]

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


[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[1, 6, -3, 5, 0],
 [1, -2, 5, 0, 4],
 [1, 6, -4, -1, 4],
 [2, -1, 6, -3, 2],
 [-2, 1, -6, -3, 3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[1, 4, -4, 6, -1],
 [-4, 3, 2, 0, -5],
 [-1, -6, -2, 3, -6],
 [-1, 2, 6, 2, 3],
 [-2, 1, 4, -2, 4]]

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


[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[-2, 2, 0, 6, 1],
 [2, 6, 6, -2, -4],
 [-1, -5, -1, -3, 3],
 [-2, -4, 6, -5, 1],
 [6, -4, -1, -3, 3]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[5, -2, 3, -1, 5],
 [5, 4, -6, -4, 5],
 [-5, 4, 2, 3, -2],
 [-1, 3, -6, 5, 5],
 [0, -6, 2, -2, -5]]

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


[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-3, 5, 1, -6, -3],
 [0, 1, 3, 2, 6],
 [6, 4, -5, 1, 4],
 [-2, -1, 5, -6, 1],
 [2, -2, -6, 2, -1]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[4, -1, -6, 3, 5],
 [6, 1, -1, 5, -5],
 [0, -2, -6, -2, 2],
 [-6, 2, -5, -1, -6],
 [2, -3, 6, -6, 4]]

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


[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-6, -1, -1, -6, -6],
 [-4, 1, -5, -6, -5],
 [4, 5, -6, -3, -4],
 [-2, 0, -4, 2, 1],
 [4, 2, 4, 2, -5]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-3, -4, 1, -4, 2],
 [1, 2, 3, -1, -2],
 [-6, -4, 4, 0, -4],
 [-1, 3, 4, -3, 4],
 [4, -1, 4, -2, 4]]

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


[User]
Calculate the rounded sum of all singular values from the SVD of:
[[1, 5, -6, -4, 5],
 [-6, 4, 3, -6, 2],
 [3, 2, 0, -1, 6],
 [-1, -3, 0, 4, -3],
 [2, -4, 3, -2, 5]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[5, 0, -2, -2, -3],
 [-5, 2, 6, 6, -6],
 [4, 1, 1, -6, -2],
 [-1, 2, -5, -5, -5],
 [-4, 6, 5, -5, -3]]

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


[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[1, -3, 0, 6, 1],
 [5, -6, 3, 0, -6],
 [5, 2, -1, 2, -5],
 [-1, -4, 6, 2, -3],
 [-3, 2, 6, 4, -1]]

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


[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[-2, 5, -2, -4, -3],
 [-1, 0, 2, 6, -1],
 [-3, -4, -5, -1, -5],
 [-4, 1, 0, -4, -3],
 [-6, 5, 6, 1, 3]]

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