Dataset Viewer
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[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[4, 3, 0, 0, -6],\n [-1, 5, 1, -5, -3],\n [-4, -4, -1, -5, 1],\n [-6, 0, -6, 1, 2],\n [-3, -4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[0, 0, -3, 3, -5],\n [-4, 4, -5, -1, 5],\n [0, 5, 6, 5, 3],\n [2, -2, -2, 6, -2],\n [-3, 6, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-1, 5, 0, 6, -6],\n [-5, 2, 3, -1, 2],\n [6, 6, 0, -1, 4],\n [0, -1, 4, -1, 6],\n [2, 1, 0, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[1, 6, -4, -3, 6],\n [4, 5, 4, -6, 0],\n [-4, 4, 0, 6, 4],\n [-6, 6, 4, 2, 5],\n [0, 1, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[6, -2, -2, 4, 1],\n [-2, 5, -5, 3, 1],\n [-5, 1, 3, 2, 3],\n [0, -1, -2, 2, -5],\n [-2, 2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[0, 0, 3, -6, -1],\n [-3, -3, -3, 1, 3],\n [3, -3, 4, 2, -2],\n [2, -4, 4, 3, -3],\n [-5, -1, -6, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-3, 4, -1, -1, 3],\n [5, -1, 3, -5, -5],\n [1, -3, 5, 3, 0],\n [-4, -1, 2, 5, -2],\n [-1, 3, 6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-5, 5, 2, 6, 2],\n [-2, -2, -3, 2, -2],\n [-3, 5, -2, -4, 0],\n [-4, 3, -1, -3, -6],\n [-3, 3, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-6, -6, 6, -4, -3],\n [-3, -5, -5, -1, 2],\n [3, 0, 1, 6, 5],\n [-3, 0, 3, -6, 1],\n [3, 6, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[6, -4, -2, 3, -2],\n [3, -3, -3, -1, 6],\n [-1, 4, 1, -6, -5],\n [0, -5, 1, 2, 4],\n [-6, -4, 4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-5, -5, -4, -5, 6],\n [6, -6, -2, -1, 0],\n [-5, -1, -2, 0, -4],\n [1, -2, 2, -2, 1],\n [-5, 2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, -5, -6, -2, 0],\n [0, 3, -5, 0, 4],\n [6, 3, 4, 4, 0],\n [-1, -5, 1, -4, -2],\n [5, 1, -1, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[0, 2, -2, 5, -3],\n [-6, 5, 5, 1, 0],\n [2, 3, -4, -5, 5],\n [-5, 0, -1, -4, 5],\n [6, -1, 1, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-5, -5, -4, -2, -1],\n [2, -2, -4, 0, -6],\n [3, -2, 1, 0, -1],\n [-4, 6, 2, -6, -1],\n [5, 5, 3, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-1, 4, 5, -1, -6],\n [2, -1, -6, 6, 1],\n [-6, 6, -6, -3, 0],\n [-3, 5, -6, 2, 5],\n [-6, -6, 6, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[3, 5, 3, -5, -2],\n [1, 6, -6, 6, -2],\n [-3, 1, -4, -2, 4],\n [5, 1, 4, 3, 3],\n [6, 6, -3, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, 2, -6, -3, -2],\n [-6, 6, -3, 0, -1],\n [6, 3, 1, -4, 0],\n [1, 4, 2, -6, 0],\n [2, 5, 6, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-3, 6, 5, 0, 5],\n [5, 3, 3, -4, -5],\n [2, -2, -1, -3, -3],\n [-2, -1, 3, 0, 5],\n [1, -2, 2, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, -5, -6, 2, -1],\n [2, -1, -6, 4, 2],\n [-1, -6, 5, 6, -5],\n [3, -1, 1, -4, -6],\n [4, 3, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[5, 2, -6, 0, 1],\n [4, 6, -2, 3, -6],\n [5, -3, -3, -5, 0],\n [-1, -3, -2, -1, -3],\n [2, -3, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[0, -1, 3, -2, -5],\n [5, -6, -6, 1, -5],\n [0, -2, 4, 5, -5],\n [6, 1, -3, 4, -1],\n [6, 5, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-6, -6, 1, 1, 2],\n [-5, 5, -4, 1, -6],\n [-5, 5, -3, -2, -6],\n [-5, -2, 1, 5, -1],\n [3, 2, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, 2, 1, 1, 1],\n [3, 3, -1, -5, 4],\n [-6, -1, -3, 0, -3],\n [1, 0, 2, -5, 2],\n [-4, -5, -5, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-1, 6, -2, 3, 2],\n [6, -1, 1, -3, -3],\n [4, 2, 5, -6, -3],\n [4, 6, 0, 4, 1],\n [2, 2, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[0, 2, 4, 2, 3],\n [-5, 5, -4, -4, -5],\n [1, 1, -4, -2, 6],\n [3, -1, -3, 0, 0],\n [-3, -2, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, 1, 2, -1, 3],\n [4, 5, -4, 5, 4],\n [-5, -6, -4, 1, -5],\n [-5, -4, 0, 4, -6],\n [-1, 1, 0, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[4, -6, -5, 2, 5],\n [3, -5, 3, -6, -3],\n [-5, 0, -4, -4, -3],\n [2, 3, -4, 3, -1],\n [6, 1, 4, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-5, -6, 0, 5, -1],\n [-6, 0, -6, -5, 1],\n [-5, -4, 2, 4, 4],\n [0, -1, -1, -6, -1],\n [5, -5, -3, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[3, -5, 6, 0, 6],\n [1, 2, 2, 2, -3],\n [5, 1, -3, 1, 5],\n [3, 1, -3, -5, -4],\n [-2, -3, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[1, 1, 2, -2, -1],\n [3, 4, 6, -3, 1],\n [0, 3, 0, -4, 4],\n [1, 3, -4, -2, 4],\n [0, -3, 1, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-2, 3, -3, -1, 3],\n [-6, 4, -2, 0, -2],\n [-6, -5, 5, -2, -5],\n [0, -5, -3, -1, 1],\n [1, -2, 6, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, 6, 2, -1, 4],\n [-3, -6, 3, -5, -1],\n [-3, 2, -4, 5, 0],\n [2, -1, -1, -2, -3],\n [5, 2, 3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[2, 4, -4, -6, 5],\n [-1, 4, 1, 1, 0],\n [5, 0, -6, 2, 6],\n [3, 6, 0, -5, 6],\n [2, -3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-2, 5, 3, 1, 2],\n [3, 5, 6, -5, 2],\n [-6, 1, 2, 6, -5],\n [2, 5, -3, -5, -1],\n [-4, -3, 1, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-2, -1, 3, 0, -2],\n [-1, -4, 5, -4, 3],\n [5, -1, -2, -5, 3],\n [-5, 2, -2, -6, 0],\n [3, -6, -6, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-2, 6, -6, 4, -1],\n [6, 1, 3, 4, -5],\n [0, 0, -5, -6, 3],\n [1, 0, -2, 4, -4],\n [-3, -1, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[1, 6, -3, -3, -3],\n [6, 3, 4, 6, -3],\n [-2, 4, -2, 0, -4],\n [4, 2, -5, -2, 6],\n [2, -4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[5, 5, 2, -6, 4],\n [-5, 0, -6, 3, 0],\n [-1, -5, -2, 1, -2],\n [0, -1, 6, 1, 5],\n [-5, -2, 5, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-4, 5, 1, 5, -3],\n [4, 0, 0, -3, -3],\n [6, 2, -6, 4, 3],\n [-3, -1, -1, -5, -5],\n [6, -2, -5, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-3, 1, -2, -6, 0],\n [6, -5, 6, -4, 2],\n [4, -2, 3, -1, -6],\n [5, -6, 1, 0, -5],\n [-1, 1, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-6, 3, -1, 1, -2],\n [1, -3, 3, 5, -1],\n [-1, -4, 5, -5, -3],\n [-3, 1, 0, 6, 1],\n [-4, -1, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, 2, -5, -5, 5],\n [2, -6, -1, 2, 5],\n [4, -4, -4, -4, 0],\n [-2, -3, -2, 4, 4],\n [-1, 1, 2, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-5, 3, -6, -1, 5],\n [3, 1, -2, 5, 5],\n [-5, -1, 1, 4, 0],\n [-4, -3, 1, 6, 3],\n [-5, -5, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[6, 1, -5, 3, 0],\n [1, -1, 3, -2, 3],\n [2, 1, -2, 3, -5],\n [1, -2, 2, -5, 1],\n [1, 1, -1, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, -4, 3, 3, 3],\n [5, 2, 0, 2, -5],\n [0, 1, -3, -1, -6],\n [3, -4, 6, -1, 6],\n [-1, -1, 0, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, 0, -2, 1, -3],\n [4, 2, -1, 6, 4],\n [4, -1, 3, 0, -1],\n [4, -3, -5, -5, 0],\n [-5, -4, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[2, -5, -6, 6, -5],\n [2, 6, -1, 5, -3],\n [-3, 2, 6, -4, -4],\n [4, -6, 0, 0, -4],\n [-6, 6, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-4, -6, -1, 1, -6],\n [2, 1, 6, -2, -5],\n [0, 5, -5, 6, -1],\n [0, 5, -1, -2, -4],\n [6, -3, 3, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[0, 6, -1, 3, -1],\n [6, -6, -6, -6, 2],\n [3, -3, -2, -4, 2],\n [-1, 3, 6, -3, -3],\n [1, -5, 4, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, 0, 1, 1, -4],\n [-2, 3, -5, 2, 6],\n [-6, 1, 1, 0, 0],\n [3, -1, -1, 3, -5],\n [-1, -6, 2, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[1, 1, -2, 0, -1],\n [-3, 3, 3, -5, 1],\n [6, 1, -1, -6, 1],\n [-4, 4, 6, 4, -2],\n [-1, 2, -5, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, 5, 6, -3, -2],\n [-3, 1, 2, -4, 4],\n [-3, 3, 3, 5, -2],\n [-4, 5, 2, 2, -1],\n [-6, -1, 5, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-6, 1, -4, -2, -3],\n [-4, -1, -4, -6, 1],\n [-3, -1, -6, -4, 5],\n [0, 3, -4, 1, 5],\n [6, 4, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[3, 0, -5, -2, 5],\n [-4, 4, 4, -3, 2],\n [-5, 2, 3, -5, -1],\n [-2, 4, 2, 5, 3],\n [4, -5, -3, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[5, 0, 3, -2, -6],\n [3, 2, 3, 5, 0],\n [0, 5, -5, -4, -3],\n [-1, -4, -6, -6, 5],\n [-3, -6, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[4, -4, -1, 1, -1],\n [-3, 1, -6, -5, 3],\n [-6, -3, -6, -5, 4],\n [6, -5, 2, 6, -6],\n [4, 5, -3, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-3, -6, 0, -4, 0],\n [-6, 1, 3, -3, 1],\n [-2, 1, 4, 6, 4],\n [-1, -3, 6, -6, -6],\n [2, 5, 1, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-4, -3, -1, 3, -5],\n [-3, -2, 0, 0, 4],\n [-1, -1, 6, 5, -5],\n [0, 5, 0, 2, 3],\n [0, 3, 5, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-4, 0, -6, -5, 5],\n [-6, 3, 6, -1, 6],\n [-4, 6, -4, 2, -3],\n [-2, 5, -5, -5, 1],\n [5, 3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-1, 5, 3, -1, -4],\n [0, 4, 3, 4, 3],\n [6, 1, -4, 4, 3],\n [-5, -5, -2, -2, -6],\n [3, 0, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-6, 5, -6, 1, -1],\n [-3, -3, -6, 5, 0],\n [-3, 0, 4, -3, 4],\n [1, -5, 5, 2, -1],\n [6, -3, 3, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-3, -2, -6, 4, 1],\n [5, -2, -6, -5, -3],\n [-5, 3, 1, 4, 6],\n [5, 4, 6, -6, -4],\n [-4, 4, 2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[1, -2, -5, -2, 0],\n [6, 1, 0, 6, 6],\n [5, -6, 2, 4, -5],\n [2, 6, -3, -4, -6],\n [-4, 2, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-6, -3, -2, -1, -2],\n [0, -6, 3, -4, 5],\n [-3, 4, -6, 6, 3],\n [-6, 4, -6, 0, -4],\n [-3, 3, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[6, -1, 5, 1, 1],\n [-3, -4, -5, 4, -3],\n [2, 0, 6, 2, -4],\n [0, -4, 2, -6, 6],\n [0, 0, -4, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[3, -3, -3, -6, -6],\n [6, -4, -2, 5, -1],\n [5, -2, -4, -6, 1],\n [-2, 0, -3, 6, -2],\n [5, 0, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-6, 3, -4, -3, 5],\n [-1, -1, 6, -6, -3],\n [-1, 1, -3, 3, 5],\n [4, 6, -1, -5, -6],\n [1, 3, -5, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[4, -6, 1, 6, 1],\n [-5, -4, -5, -1, 4],\n [-3, -2, -5, -5, 3],\n [-2, 5, -1, 6, 0],\n [1, -3, -5, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-6, 3, 1, 1, 6],\n [-2, 2, -1, 4, -3],\n [-4, 0, -5, -3, -4],\n [-4, 4, 3, 0, 2],\n [3, 4, 2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[2, 1, -2, -6, 2],\n [6, -6, 2, 5, 3],\n [3, -3, 2, 5, -6],\n [-1, 4, 2, 1, -5],\n [-1, 2, 5, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[2, 0, -1, -3, 6],\n [-6, 3, 6, -4, -2],\n [-5, 5, 3, -4, 2],\n [2, -6, -5, 2, -5],\n [3, -6, -6, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[1, 2, 2, 6, 4],\n [-1, 3, 0, -5, 6],\n [6, -1, 5, -3, 3],\n [4, 6, 0, 4, -1],\n [-6, -2, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[5, 4, -1, 4, -6],\n [2, 6, 5, -6, -2],\n [0, 0, -2, 2, -2],\n [5, -2, -4, -3, -2],\n [5, 2, 1, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 4, -6, 6, 6],\n [2, 4, 5, 2, 3],\n [4, -1, -6, -2, 0],\n [-6, -5, -5, 1, 1],\n [4, 3, 2, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-5, 0, 1, 2, 5],\n [-3, 3, -5, 5, 3],\n [0, -5, 5, 2, -4],\n [6, -6, 1, 3, 4],\n [3, -5, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-2, 2, 6, -3, 3],\n [-1, -2, 3, 6, -5],\n [-4, 2, -1, 6, -5],\n [-4, 4, 3, 2, 3],\n [4, 0, -5, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[5, 0, 4, -2, -5],\n [-5, -3, 0, -6, 0],\n [4, 5, 3, -2, 6],\n [-6, 6, -2, -1, -1],\n [-1, -3, 1, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-6, -4, 3, 0, 2],\n [-1, 1, 2, -3, 1],\n [0, -5, 0, -5, -3],\n [-2, 5, 6, 4, -5],\n [-6, -2, -1, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[0, 6, -4, -5, -2],\n [2, 6, -1, -5, 4],\n [5, -5, 6, -3, 5],\n [1, -2, 6, -6, -2],\n [-2, -4, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[2, -2, 6, 4, -4],\n [6, -6, 5, 0, -3],\n [-6, -5, 3, 5, 3],\n [-1, 3, 3, 3, 2],\n [1, 2, 0, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[3, -3, -5, 0, -5],\n [-4, 2, -3, 5, 0],\n [6, -4, 6, 2, 0],\n [2, 1, -5, 3, -6],\n [-6, -6, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[5, 6, 1, 2, 5],\n [-4, -4, -4, -6, 5],\n [-4, -4, 3, 2, 2],\n [4, -4, 6, 2, 6],\n [5, 5, 0, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[6, 3, -1, -3, 5],\n [1, 4, 1, -2, -6],\n [-5, 1, -4, 2, 3],\n [-2, -2, 0, -2, 0],\n [-5, -6, -5, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[6, 1, 1, 2, 5],\n [6, 1, -6, 2, 4],\n [6, 2, -4, 2, 5],\n [-2, 4, -3, 0, -2],\n [6, 4, -6, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[2, 5, 1, -3, 6],\n [-5, 4, 1, 1, 4],\n [4, 3, 0, 0, 2],\n [4, 5, 1, 5, 3],\n [-5, -3, 4, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-1, -4, 3, 6, -2],\n [-6, -3, 2, -4, 2],\n [-3, 5, -2, -5, -3],\n [-2, 6, -2, 4, -3],\n [-1, -1, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[6, -3, -3, 1, 3],\n [-3, -1, -4, 3, -6],\n [2, 1, -4, 5, -2],\n [-4, 0, 0, 5, 4],\n [0, -1, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-4, -4, 5, 1, -6],\n [-5, 2, -2, -4, 0],\n [5, -4, -6, -4, -4],\n [-1, 2, 4, 3, -5],\n [6, 5, 5, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, -1, 3, -2, 6],\n [0, -2, 4, 3, -3],\n [6, -4, 1, -6, -6],\n [3, -6, 4, -5, -4],\n [3, 6, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[6, 1, -2, -4, 0],\n [3, 2, 6, 2, 0],\n [1, 6, 4, 3, -4],\n [0, -3, 3, -3, 0],\n [3, 6, -6, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-2, 3, -5, -3, 1],\n [6, 0, 1, 4, -5],\n [2, 1, 4, 6, 3],\n [2, -2, 0, -6, 1],\n [-3, -6, -1, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[2, 1, 2, 6, -1],\n [0, 0, 3, 5, 4],\n [5, 5, 6, 3, -2],\n [6, -6, 5, -4, 3],\n [6, -1, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-4, 1, 0, -3, -2],\n [-1, 0, -1, 1, -3],\n [-1, -5, 0, -6, -4],\n [1, -1, 5, 1, 6],\n [-6, -5, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[3, -2, 4, 4, 1],\n [-4, 6, -6, 5, 4],\n [-6, 1, -4, 5, 5],\n [2, -5, -6, 6, -6],\n [0, 3, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-6, -3, -5, 5, 6],\n [-3, 3, 2, 4, -6],\n [-3, 5, -6, 1, 2],\n [1, 2, 2, 5, -5],\n [2, 2, -6, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-2, -2, -4, 5, 2],\n [4, 0, 4, -2, 4],\n [2, -6, 4, -6, -5],\n [2, 1, 3, -1, 2],\n [-1, 3, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 1, -5, 1, -6],\n [6, 5, -2, 2, -3],\n [2, -4, 5, 0, 1],\n [0, 0, 2, 2, -2],\n [1, 2, 5, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[4, -4, -1, -3, 4],\n [3, 0, 0, 1, -3],\n [6, 4, -2, 0, 2],\n [-2, 0, -1, 3, -6],\n [2, 3, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[0, 4, -1, 3, 5],\n [-1, 3, -3, 2, -6],\n [-5, 3, -6, -2, 1],\n [-1, -2, -3, 2, 3],\n [2, -6, 3, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the rounded largest singular value from the SVD of:\n[[5, 3, 5, -4, -2],\n [-2, 1, 4, 5, -2],\n [3, -5, -2, -1, -2],\n [-6, -4, 2, 5, 0],\n [6, 6, 3, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
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