[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[10, -4, -11, 2, 0, 4, -8, -8, 5],
 [17, 5, -16, 3, -17, 5, 11, -17, 2],
 [14, -7, 3, 6, 8, 9, -3, -4, -16],
 [18, -12, 2, -10, -1, -15, 6, -5, -10],
 [7, -17, 1, 9, -12, -11, 16, -5, -2],
 [17, -15, -17, -13, -15, 10, -1, 7, 15],
 [-9, 17, -5, 12, -4, -11, -5, 4, 2],
 [-3, -1, 5, 7, 6, 10, -4, -18, 6],
 [-12, -10, 5, -18, -11, 5, -8, -2, -11]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[16, 16, 14, -14, 9, -12, -10, -11, -7],
 [15, 14, 4, 5, 18, 16, 3, 8, 16],
 [-18, 16, 18, -5, -16, -18, -14, 7, -5],
 [8, -10, -4, -4, 7, -6, 13, 13, -15],
 [11, 18, 4, -4, 10, 17, -6, 13, -12],
 [3, 9, -17, -13, 9, 9, 1, 11, -8],
 [9, 6, 14, -18, 8, -6, -16, -13, -11],
 [8, -10, 18, 14, 5, -4, 13, 13, 5],
 [-7, -17, -16, 18, -2, -17, -17, 9, 4]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[18, 13, 14, -18, 0, -17, 7, 13, -13],
 [13, -15, -8, -2, 5, -14, 15, -13, 3],
 [-8, -3, 14, -10, -13, -3, 10, -16, 1],
 [17, 0, 7, -16, 0, 1, 13, -12, 14],
 [-1, -18, -8, 9, 6, 4, 12, 11, 16],
 [-12, -3, 7, -17, -18, -7, -14, 18, 13],
 [-10, 16, 0, -3, -16, 1, 5, 14, 5],
 [-8, -11, 17, 1, 16, 6, 16, 6, 10],
 [-1, -1, -17, 16, -3, 17, 14, -15, 14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-5, 2, 1, -11, -12, -16, -2, 14, -7],
 [3, 3, 11, -11, 8, 8, 15, 2, 11],
 [14, 9, 14, -14, 0, -15, 16, -2, 9],
 [11, 10, -13, 16, 18, 5, 10, 12, 16],
 [14, 2, 13, 4, 14, -16, -1, 6, 12],
 [-16, 5, 13, 3, 4, -17, 8, -17, 7],
 [-2, 14, -10, 10, 7, 16, 6, 5, -6],
 [-12, 17, 1, -18, -11, -3, -5, -7, 4],
 [-4, 9, 15, -17, 13, 4, 3, 6, 3]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[3, -13, -4, 18, 14, -11, -14, -15, -13],
 [13, 11, 16, -3, -6, 11, 0, -2, 0],
 [9, 7, 18, 7, 4, -10, -7, -18, -18],
 [15, 13, 6, -18, -3, -14, 3, 10, -16],
 [-7, 7, -3, 18, 3, 10, -5, 9, -14],
 [11, -14, -7, -3, 7, 7, 2, 17, 14],
 [11, 18, 4, -9, -14, 17, 15, 12, -9],
 [0, 13, -18, -14, -15, -3, 5, -3, -17],
 [9, 13, 8, 1, 5, -7, 16, 14, 14]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[18, -7, -16, -18, 14, -9, 10, -6, -7],
 [12, -17, 16, 4, -2, 7, -11, 10, 7],
 [-9, 7, 15, -12, -15, -8, 10, 17, 6],
 [2, 17, -9, 18, -10, 5, 16, 16, 17],
 [-1, 13, 5, 4, 13, 18, -7, -6, 4],
 [6, 16, 11, -2, 1, 6, 3, -6, 0],
 [17, -7, 0, -7, -10, -12, 9, -5, 12],
 [0, -3, -14, 16, -7, 6, 2, 17, 4],
 [-3, -5, 12, -14, 16, 4, 10, -8, -1]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-7, -10, -9, -2, -12, -6, -10, 8, -17],
 [-14, 10, 18, 0, -11, -18, 3, -2, -12],
 [6, -15, 17, -13, 12, 0, 8, -9, 7],
 [0, -16, -6, 9, 1, 9, -11, -18, -16],
 [-6, 9, 6, 14, -13, 13, 2, -3, 2],
 [-8, 18, 17, 16, 0, 1, -1, -5, -4],
 [12, -18, -16, -3, 4, -8, -7, -9, 13],
 [-3, -11, -7, 5, 9, -11, 9, 17, 7],
 [-11, 9, 9, 18, 17, 8, -2, -10, 14]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[1, -6, 9, 10, -6, 16, -13, -1, -14],
 [6, -17, -9, 11, -14, 14, -18, -1, 13],
 [-8, 2, 7, 6, 3, 8, -6, 14, 15],
 [16, -18, 2, -13, 9, -2, -14, 12, -14],
 [-16, 4, 18, 18, -9, -9, 0, -2, 2],
 [-5, -10, -18, -6, -15, -18, 13, 15, 9],
 [12, -11, 7, 15, -16, -7, -18, -14, 11],
 [11, -2, 4, -4, 18, 2, -5, -17, -8],
 [15, 15, -1, 11, -4, 8, 15, 14, 5]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-4, 11, -2, -14, 10, -15, -9, -2, -9],
 [-2, 1, 5, -14, 15, -13, -17, -6, -8],
 [4, -3, 12, -8, -3, -11, -15, -15, 6],
 [-16, 13, -16, 8, 10, 13, 0, 2, -14],
 [-1, 9, 3, 2, -13, -18, -14, -7, 7],
 [15, -5, 7, 8, -10, 7, 3, 11, -2],
 [7, 17, -18, -11, 16, -4, 3, -5, 7],
 [9, 4, -5, 5, -17, 7, -5, -12, -16],
 [4, -1, 16, -4, 6, 18, 9, -9, -2]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[3, 7, 6, -2, -6, 1, 6, -15, -9],
 [-16, -1, 17, 3, 15, -11, 0, 18, -13],
 [7, 15, -13, 18, 14, 3, 2, -13, -13],
 [-15, 11, -8, 11, 12, 5, -10, -16, 12],
 [18, 17, 5, 12, -13, -17, 1, 9, -8],
 [-15, -4, -13, 11, -17, -4, -8, -11, 7],
 [-14, -13, 7, -15, 0, 1, 14, 1, -7],
 [-18, 7, -5, 18, -8, 17, -6, -16, 14],
 [-13, -9, -14, 4, -9, -17, -6, -17, 1]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-18, 18, -10, -2, -10, -8, -4, 5, 16],
 [11, 12, -14, -5, -8, -10, 15, -7, 16],
 [16, -18, 3, 10, -11, -8, 18, -5, 11],
 [16, 2, 18, -14, 0, -5, 7, -15, 6],
 [6, -1, -11, -5, 13, 14, 4, -4, 14],
 [6, -2, 14, -17, -5, -13, -13, -16, -12],
 [-11, -4, 10, 14, 11, 8, 17, 10, 14],
 [18, 8, 14, -15, 3, -17, -9, -14, -9],
 [14, -6, 12, 17, 5, -4, 10, -11, -14]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[10, -15, -7, -17, 8, 12, 17, 17, 7],
 [8, -14, 1, -8, -9, -13, -11, 4, 7],
 [-7, 7, -6, -1, 6, 14, -7, 17, -15],
 [-14, 18, -11, 9, 12, -10, 10, -5, 3],
 [-8, 4, -18, 18, 2, 7, 17, 4, -18],
 [-4, 2, -10, -10, -9, 7, 16, 6, 7],
 [-8, -17, -12, -1, 8, 15, 8, -2, 5],
 [6, -12, -13, 5, 14, 10, 3, 7, 9],
 [2, -12, -2, 1, 1, 3, 9, -12, -18]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[13, -6, 11, 4, 0, 13, 11, 10, 10],
 [11, -3, 0, -1, -18, -5, -17, 9, 11],
 [-15, -18, -11, 10, -16, 13, -9, -9, 0],
 [15, 14, 4, 9, 13, -12, 10, -11, -18],
 [-16, 5, 4, -11, 18, -16, 14, 9, -11],
 [15, 16, 13, 5, -5, 13, -3, -15, 18],
 [2, -5, 12, -1, -12, -9, -12, 14, 4],
 [2, 0, 0, 17, 10, -1, -17, -18, -14],
 [1, -8, -17, -16, 4, -7, 1, -14, 18]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[11, -10, 15, 16, 3, 5, -2, -9, 11],
 [4, 13, -2, -2, -5, -10, -17, 6, -10],
 [3, -15, 7, 10, 15, 4, 18, -8, -13],
 [-1, 2, 17, 15, -2, 18, 6, -7, 4],
 [3, 2, 8, 12, -13, 8, 15, -7, -12],
 [-9, -2, 7, 2, 9, -17, -18, 17, 7],
 [10, 2, -8, -8, 17, 16, 15, 5, 3],
 [-14, 14, 17, 1, 0, 16, -2, 15, -10],
 [7, -17, -10, -10, -2, -18, 6, 6, 16]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-16, 18, 11, 15, -7, 0, 18, -2, -9],
 [-7, -3, 5, 0, -11, 12, 2, -2, 4],
 [18, -3, -13, -11, 6, -1, 6, -7, -4],
 [7, 7, 13, -9, -3, -12, -2, 4, 7],
 [2, 3, -12, -5, -4, -12, -10, -11, 4],
 [10, -1, 12, 11, 16, -1, -2, -5, 12],
 [5, 16, 15, -16, 18, 7, 4, -4, -15],
 [10, 3, 6, -6, -1, 14, -3, -17, 16],
 [15, 11, -6, -6, -1, 13, 13, 16, 10]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[10, -3, -9, 11, 6, 1, -14, -18, 11],
 [-16, -5, 11, -15, -1, 18, 6, -18, -4],
 [-10, -4, 5, -15, -7, 18, 18, -13, 5],
 [-8, -6, 15, 6, -12, -15, -11, 1, 10],
 [-9, 15, 7, -16, -13, -14, -14, 4, -10],
 [16, 1, 16, -1, -2, 5, -16, 13, 16],
 [-6, 6, -10, -15, -5, 18, 15, -8, -16],
 [9, 10, -10, -16, 6, 15, -7, -10, -4],
 [6, -14, -8, 15, 5, -4, -11, -14, 7]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-1, -13, 18, -6, 9, -14, -6, -2, 13],
 [10, -16, 15, 8, -6, 14, -13, 5, 0],
 [-3, 9, 14, -6, 6, 17, 8, -12, -14],
 [12, 4, -9, 13, 11, 12, -1, 17, -17],
 [-5, -6, 10, -7, -17, 13, -6, 8, -2],
 [12, 15, 5, 16, -13, 0, 11, -12, -9],
 [13, 15, 9, -4, 11, 18, 10, 3, -15],
 [1, 13, 17, -15, 8, -2, -7, 3, -2],
 [-9, -18, 3, 7, -1, -5, 10, -7, 17]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[16, -7, -12, 10, -8, 14, -13, -4, 13],
 [-8, 4, 7, 15, 15, 10, -15, -2, 16],
 [-6, -4, 10, 10, -8, 13, -17, -5, 1],
 [3, -8, 8, -16, -2, 9, 10, 2, -3],
 [18, 1, -13, 0, -14, -16, -18, -4, 15],
 [16, 6, 5, -7, -1, -4, -3, 8, -11],
 [6, -2, 10, -11, -4, 8, -12, -16, 10],
 [5, -16, 1, -4, 6, 11, -5, -12, -2],
 [1, 17, -10, 3, -17, 5, -11, -8, -6]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-2, -11, 2, -1, 11, -1, 12, 13, -8],
 [6, 14, -11, -8, 3, 5, -2, -7, 13],
 [-4, -3, 3, 9, 1, 14, -9, 13, 14],
 [-17, 14, 14, -6, 11, 14, -6, 7, 3],
 [-17, 7, -4, 15, -8, -16, -13, -10, -13],
 [-10, 12, 13, -7, -11, -11, 9, 1, -12],
 [-8, 1, -3, -15, -13, 3, 7, -16, -5],
 [-8, -1, -7, 4, -7, -6, 6, 0, 17],
 [-11, 10, 13, -1, -13, -1, 0, 3, 18]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[13, -16, 9, -9, 16, 10, -4, 14, -12],
 [-7, 11, 2, 12, 5, 1, 18, -15, 9],
 [1, 5, 13, 17, 15, 17, -17, -4, 15],
 [17, -13, -7, -16, -1, 2, -4, 14, 16],
 [7, -11, 17, 11, 4, -5, -5, -17, 18],
 [-14, -5, 6, 1, -17, -13, -2, 6, 9],
 [-17, 16, 18, -14, -18, -7, 17, 4, 12],
 [-8, -9, -16, -5, -3, -9, 10, -9, -7],
 [11, -18, -14, 1, -11, -7, -18, 1, 9]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[18, 18, -7, 18, 9, -4, -13, 1, -5],
 [-17, -10, 18, 1, 7, 10, -18, 16, -13],
 [18, -14, 14, -5, -7, 1, 5, 15, 6],
 [10, 12, 4, 1, 4, -3, -11, 2, -18],
 [-11, 10, 13, -14, 3, 15, -18, 7, -9],
 [11, -1, -2, 7, -11, -7, 8, -11, 6],
 [-15, 14, -18, 0, 12, -3, -5, -14, 7],
 [9, -17, -13, -10, 14, 6, -6, -10, -6],
 [12, -8, -15, 15, -15, 0, -13, 15, -1]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-6, 4, 0, -8, -18, 5, -12, 6, 2],
 [-4, -18, -7, -12, -4, 2, 0, 10, 6],
 [14, 13, 16, 7, -8, 16, -11, -5, -9],
 [-17, -10, -16, 2, 7, -11, -17, -13, 9],
 [10, 7, 6, -7, -14, 15, 18, -4, 17],
 [-4, 4, -13, 2, 4, -3, -4, 6, 17],
 [-8, -4, -15, 2, -6, 3, 0, 15, -5],
 [-15, 8, 10, 9, 16, -11, -3, 17, 11],
 [-1, -17, -6, -15, 7, 6, 11, -8, -12]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[12, -9, -6, 12, -12, 17, 1, -15, -12],
 [-18, -6, 3, 2, 3, 9, -10, 7, -10],
 [-4, -9, 5, -11, 5, -3, 7, 8, 18],
 [-15, 5, 0, 17, -9, 6, -1, 0, 17],
 [-9, 14, -14, 16, 15, 14, 2, -2, 3],
 [18, -4, 16, 9, -12, 13, -8, -9, -10],
 [-5, -6, 6, -17, 16, -12, 2, -1, -16],
 [-8, 5, 0, -15, 7, 13, 17, 18, 14],
 [17, -16, -10, -11, 14, -13, -15, -6, -17]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-14, 8, 13, 2, -11, -11, -16, -16, 3],
 [-13, -17, 4, -17, -2, 16, 15, 4, 11],
 [-11, 3, 17, -14, -6, 10, 12, -3, 11],
 [-3, -7, -2, -3, -7, -11, 1, -16, -3],
 [11, 4, 9, -14, 1, -18, 11, 2, 1],
 [-13, 3, -1, -11, 13, 14, -3, -7, 15],
 [-5, 17, 14, 4, -17, 2, -17, 8, -10],
 [-18, -8, -16, 4, 7, -15, -1, -13, 16],
 [3, -4, 3, 18, -7, -1, 16, 11, 5]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[11, -5, -13, -16, -3, -12, -5, -10, -4],
 [2, 16, -17, 8, -17, 16, -1, -5, 1],
 [-1, -9, 6, -17, 6, 14, 17, 12, -5],
 [-18, -3, -16, 16, -13, 6, -6, 15, -11],
 [2, 15, -15, 6, -4, -15, -7, 13, 13],
 [9, -6, 12, -5, 1, -1, 10, -13, 13],
 [10, -17, 4, 0, 12, -14, 0, 15, -9],
 [6, -17, -8, 12, -4, -10, 4, 0, -10],
 [16, 2, -10, 9, -12, -3, -3, 14, -15]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-15, -2, 18, 10, 17, 18, 16, -12, 8],
 [9, 3, -5, -12, 18, 3, -14, -17, 8],
 [2, -4, 2, -9, 4, -14, -18, -6, 2],
 [7, 2, -1, 18, 13, 17, -2, 16, -8],
 [2, 7, -15, 15, -1, 16, 10, 10, 2],
 [-6, -2, -10, -18, -17, 10, 14, -9, 2],
 [9, -8, 15, -11, 3, -11, -4, -2, 4],
 [5, 0, -14, 13, -18, 4, 18, -11, -6],
 [-11, 4, -18, 5, 16, 5, -2, -14, 1]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[2, 12, 17, -8, -4, 0, -12, 9, -14],
 [-14, 11, 13, -11, -9, 13, 9, -2, 12],
 [-11, 6, -10, -17, -4, -16, 17, -15, -5],
 [6, -9, 2, 17, -7, 8, -17, -6, 13],
 [12, -3, 13, 13, 15, -8, -9, -4, -2],
 [-1, -10, 6, -5, 6, 3, 11, 1, 2],
 [13, 2, 16, 13, 11, -7, -1, 2, -6],
 [2, -11, -12, 4, 13, -8, 3, 3, 6],
 [3, 9, 10, -6, -1, -17, 10, 2, -4]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[8, 12, -4, 4, 5, -6, 3, 18, 14],
 [-16, 0, 4, 10, 11, 6, 18, -11, -3],
 [-11, -18, -14, -16, -18, -15, 16, 13, 15],
 [6, -9, 2, 8, 8, -17, -6, -10, 17],
 [3, 7, -7, -2, -5, -5, 15, 1, -8],
 [-3, 12, -13, 0, 18, -15, -15, 1, -9],
 [5, 16, 7, 18, 2, 2, -9, -15, 1],
 [-2, -12, -15, 10, -5, -16, 5, 18, -3],
 [-15, 5, 15, 11, -1, 0, 12, 0, 0]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[3, 5, -7, 11, 12, 17, 0, 17, 11],
 [14, -1, 9, -8, 14, -2, -13, -15, 1],
 [8, -4, -13, -5, -8, -10, 7, -3, -14],
 [-9, -16, -6, 11, -13, -2, 0, 16, 7],
 [-14, 10, 18, 1, 2, -9, -14, 17, -13],
 [7, -15, 16, -18, 5, 17, -13, 12, 1],
 [5, 6, 17, 2, 11, 5, 11, 3, 9],
 [-12, 16, 9, -5, -9, -3, -3, 12, 6],
 [-6, -13, -10, 17, 1, -1, 2, -15, 14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[8, -12, -13, -4, -1, 13, -8, 1, 5],
 [-4, -12, 2, 7, -5, 18, 2, -1, -14],
 [-16, 4, 7, 18, 5, 0, 6, 2, -7],
 [14, -15, -12, 3, 14, -2, 5, 15, 9],
 [3, -2, 15, -13, -13, 15, -18, -9, 2],
 [-14, -17, 3, -17, -9, 15, -3, 3, -7],
 [5, -9, 16, 13, -12, 2, 1, 7, -15],
 [3, -4, 2, -4, 3, 9, -5, 8, 9],
 [7, -17, 6, -16, -11, 14, 16, -13, 4]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[6, 0, -14, -8, -7, -9, -11, 5, 9],
 [17, 18, 2, -11, -10, -4, -1, 1, -13],
 [-7, -17, -12, -3, -16, -16, 8, 14, 9],
 [-18, -11, 18, 13, 18, -15, 11, -13, 0],
 [13, -10, -7, -8, -3, -18, 2, 11, -6],
 [15, -15, 9, 12, 8, -14, 6, -16, 14],
 [-15, 6, 1, 15, 7, -14, 16, 9, 10],
 [-10, -13, 0, -8, -17, -10, 2, 5, 15],
 [3, -16, -7, 9, 11, 7, 2, 9, 7]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[14, 2, 16, 15, -1, -8, 4, 3, -2],
 [-14, -8, 11, -4, 8, 16, 14, 1, -3],
 [15, -17, 16, 9, -13, -10, 1, -18, -11],
 [4, -16, -15, 6, -4, 2, 16, -5, 17],
 [-7, -2, -10, 16, -6, -4, -1, 14, -13],
 [8, 4, 8, 15, -5, 17, -11, 16, 0],
 [11, -5, 1, 6, 5, -5, 7, 4, 3],
 [0, -16, 0, -10, 9, 1, -12, -5, -10],
 [0, -5, 17, -2, 11, -10, 14, 6, -5]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-8, 16, -5, 11, -15, -15, 9, -11, -17],
 [3, -3, 10, 11, -7, 16, -8, 2, 2],
 [-14, 1, 18, -16, 14, -10, -10, -15, 16],
 [-2, 15, 5, 13, -18, -11, 4, -7, -7],
 [-4, 0, 7, 10, 3, 2, 1, 10, -15],
 [-12, 9, 9, -15, 3, -7, -16, 3, -17],
 [5, 15, 8, -18, -11, 4, -13, 3, 6],
 [-1, -2, -7, -13, 7, 8, -11, 0, -18],
 [10, 16, -5, 16, 1, -6, -11, 1, 14]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[7, 2, -10, 5, 18, -2, 5, 2, -6],
 [-8, 0, -8, -6, -18, 0, -7, -11, -11],
 [-7, 14, 7, 9, -14, -11, 6, 8, 4],
 [11, 4, 1, -1, -1, -17, -15, 11, 14],
 [17, -1, 18, 0, 9, 1, 14, -7, -4],
 [-17, 10, -9, -17, -8, -6, -9, -5, -1],
 [-10, 9, -16, 1, -13, 8, -17, 10, -16],
 [-3, 11, -17, -2, -7, 16, -18, -4, 7],
 [18, 2, 12, 6, 4, 5, 9, 2, -1]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[17, 16, -10, 11, 15, 13, -16, -16, 9],
 [-4, 4, -8, 13, 17, 14, 5, 15, 9],
 [18, -12, -15, 18, -18, -18, 1, 0, 10],
 [-9, -1, 9, 16, 12, 8, -8, -14, -11],
 [15, -7, -18, 12, -15, -14, 11, 5, -16],
 [-8, -15, 7, 8, 8, -13, -4, 11, 18],
 [18, 18, 16, 4, -13, -15, -1, -10, 10],
 [-6, -2, 13, 3, -15, -14, 18, -6, 15],
 [3, 4, -16, 15, 13, 2, 2, -8, -15]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-18, 9, 5, 16, -6, 15, -8, 17, -2],
 [16, -1, 3, 5, 0, 18, 2, -11, 9],
 [-14, -2, 18, 17, 0, 8, 15, -8, -7],
 [2, -8, 9, -14, -2, 1, -7, -13, -2],
 [0, 7, 13, -13, 17, -8, 14, 5, 4],
 [-4, 8, -8, -2, -5, 8, -1, 9, -15],
 [-12, 16, -10, -11, -2, -2, 14, 13, -11],
 [0, -16, -14, -6, 12, -3, 13, 3, 10],
 [3, -16, -9, 2, -3, -7, -17, 5, 16]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[11, 11, 16, 0, -11, 7, -12, 11, -12],
 [-16, -18, 17, 6, 18, -18, -4, 18, -6],
 [-11, -14, -10, -18, 17, 16, -17, 4, -10],
 [15, -5, -15, 11, 12, -8, 16, -11, -16],
 [-5, -6, 13, 15, 0, -3, -17, -2, 15],
 [-3, -17, -17, 7, -6, 12, 15, -16, -11],
 [4, -5, 8, 10, -18, -2, 11, -6, 2],
 [0, 0, 6, 3, 12, -2, 4, 13, -9],
 [-9, 17, -11, 1, 13, -5, 9, 5, -4]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[3, 11, -15, -6, 4, -11, -1, -7, 12],
 [-5, 15, -1, 15, -8, -7, -4, 12, 10],
 [7, -1, 13, 3, -2, 4, 5, -11, -13],
 [-14, 10, 9, -8, -18, 0, -10, 8, 15],
 [-15, 17, -1, -4, -6, 0, -13, -7, 18],
 [-2, 4, 7, 10, 14, 8, 6, -9, 4],
 [2, 2, -6, 18, 14, 5, -8, -2, -15],
 [6, 11, -10, 2, 1, 0, 0, -7, 18],
 [-2, 18, 9, 16, -1, -5, 16, -12, -6]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-1, 18, -6, 17, 12, -17, -3, -10, -10],
 [-8, 3, 14, 17, 4, 15, -10, 5, -11],
 [-12, 17, -1, -16, 9, -13, 2, 9, -18],
 [17, 2, 16, -6, -9, -9, -6, 18, 5],
 [-17, 3, -2, 17, -5, -9, 16, 6, -16],
 [-2, -7, 5, 10, 6, 17, 7, -18, 1],
 [9, -3, -2, 9, -7, 8, 11, 15, 18],
 [-13, -12, 13, 13, 6, 14, -12, -7, -3],
 [-3, 17, -6, -12, 17, -10, 13, -8, -11]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[14, 4, 6, -11, 3, -15, -16, 10, 10],
 [15, 15, 9, -6, -4, 4, 7, -15, 7],
 [-10, -14, 13, 1, -8, -4, 13, 9, 3],
 [-2, 7, -12, 7, 6, -9, 0, -8, -6],
 [-11, -15, 12, 9, -8, -18, 5, 12, 7],
 [-14, 1, -8, 14, 8, 15, -4, 13, 2],
 [-14, -13, 3, -1, -5, -9, -6, 12, 11],
 [-16, 11, -13, 10, -11, 14, -2, -8, -6],
 [-8, 12, 9, -13, -3, -15, 16, 7, -7]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-8, 18, 6, -1, 0, 4, -1, 7, -13],
 [-15, 10, 15, -2, -3, -17, 15, -11, -6],
 [-11, 11, 13, 17, 11, -18, -2, 1, 5],
 [3, 10, 3, -10, 18, -9, 17, 18, 9],
 [9, 2, 5, -17, -11, 8, 3, 18, 8],
 [10, -16, -6, -9, 17, -10, 8, 15, -18],
 [13, 6, 10, -12, -16, 1, 1, 11, 16],
 [16, 8, 7, -5, -2, -1, 10, 1, 8],
 [-1, -15, -18, -18, 7, 1, 4, -9, -8]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-14, -18, -2, 3, 15, 10, -15, -14, -8],
 [2, 16, -7, 7, 0, -12, -12, 7, -14],
 [2, -5, -15, 4, 1, -4, 10, -11, 0],
 [9, 8, -15, -4, 16, 18, -18, -16, 5],
 [8, 17, 15, 10, 5, 5, -15, -16, 15],
 [4, 4, -14, 12, -13, 18, -9, -12, 2],
 [1, -16, 3, -15, 9, -7, 17, -14, -6],
 [4, 11, 18, 6, 8, -5, 17, -3, 3],
 [2, 2, -11, -3, 12, -9, 13, 15, -10]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-2, -8, 13, -9, 3, -2, -15, 6, 2],
 [18, -18, 6, 17, -2, 5, -17, -4, 13],
 [-13, -18, 4, -2, 15, 10, -10, -6, -13],
 [-13, 1, -16, -2, -7, -18, -2, -16, 7],
 [-4, 17, 13, 13, -15, -1, 0, 16, -5],
 [14, -5, 15, -15, 5, 10, 0, -13, 14],
 [0, -18, -14, 8, -3, -13, -6, 16, 0],
 [-7, -3, -9, 6, 1, 12, -15, 4, -17],
 [3, 18, -11, -12, -5, -16, -3, 0, -1]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-3, -11, 14, -7, -8, -14, 8, -7, -2],
 [-13, 14, -14, 9, -5, -14, 14, 0, 3],
 [-14, -17, 11, -15, 14, -6, 1, -12, -4],
 [4, -5, 4, 0, 10, 1, 10, 5, -1],
 [-9, -11, 7, 10, -9, -2, -17, -13, -14],
 [9, -14, -1, 7, 1, 8, -7, -12, -16],
 [-9, 15, 6, 16, -3, -17, 5, -9, 3],
 [7, 8, 10, 1, 8, 1, 0, 1, 16],
 [-17, 11, 15, 3, -16, -13, -4, 8, -9]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-10, 14, 13, -13, 17, -17, 10, -15, -18],
 [0, 7, 6, -9, -4, 3, 2, 3, 17],
 [15, 11, 6, 9, -18, -15, -12, -10, 17],
 [0, -18, -9, 17, -10, 13, 13, -13, -2],
 [-9, 8, 16, 2, 6, 9, -4, -15, 10],
 [-10, 8, 7, 0, 9, -2, 1, 4, 13],
 [14, -14, 15, -8, -16, 14, -8, -3, -1],
 [11, -9, -1, 0, 17, -6, -16, -9, -18],
 [8, -11, -2, -10, -13, 6, 9, 14, 18]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-10, -1, 2, -17, 17, 18, -4, 9, -1],
 [15, 3, -8, -6, -15, 3, -12, 5, -15],
 [9, -4, -18, -16, -5, -18, 2, 10, -14],
 [-9, 9, 2, -12, -16, 1, 0, 16, -15],
 [-14, -18, -15, -7, 8, 4, 6, 2, 5],
 [6, 13, 13, -14, 17, -3, 14, 2, -10],
 [-13, 16, 3, -14, 4, -2, -7, 4, -3],
 [-16, 11, 3, -10, 10, 18, 4, -6, 13],
 [4, -2, 2, -17, 18, -13, -1, 11, 3]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[14, 11, -2, 13, -5, -9, 17, 15, -10],
 [9, -8, -5, 0, -4, 9, 5, -11, -10],
 [14, 14, 0, -16, -9, -18, 10, 15, -6],
 [-18, 15, 10, -6, 10, 5, 7, -2, -12],
 [-6, -14, 7, -16, -12, -18, -2, 6, -16],
 [-4, 10, 13, 7, -3, 6, 9, -10, -18],
 [10, 3, -3, -12, -5, 10, 0, 0, -17],
 [-4, -16, -8, 11, -1, -17, 13, -11, 3],
 [-13, -7, 17, -4, 9, -1, -17, -6, -4]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[1, 10, 10, -16, 0, -16, -5, -15, -8],
 [12, 13, 8, 11, -17, -10, 9, 12, 15],
 [-4, 6, 17, -11, -10, 18, 13, -2, 16],
 [18, 0, 10, -12, 9, -10, 9, -13, 10],
 [-2, -3, 4, 12, -16, 2, 7, 17, 18],
 [3, -7, -6, -8, -3, -11, -17, 11, 11],
 [-7, -9, -8, -4, -3, -2, 7, -17, -7],
 [7, 4, -1, 13, -16, -16, 11, -18, 11],
 [13, 9, 2, -6, 8, 17, -12, 3, -9]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-4, -4, -15, 13, 4, -13, 5, 1, 18],
 [1, -7, 14, 9, -11, -18, 18, 3, -13],
 [2, 13, 16, -4, -14, -13, 6, 10, -12],
 [-6, -1, -17, -11, -8, 14, 8, 1, -7],
 [12, 8, 13, -9, -16, 8, 16, 12, -4],
 [-3, -6, 16, -8, 2, -8, 11, 16, 3],
 [12, -5, 5, 13, 17, 13, -4, 16, -16],
 [-3, -14, 2, -9, 0, 6, -15, 10, 0],
 [-17, -9, 6, 1, 0, 4, 5, -8, 15]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[9, -14, -14, 2, -7, -15, 1, 6, -5],
 [-8, 13, -8, -1, 8, -1, 4, -8, 2],
 [-14, 4, 6, -9, 3, 0, -18, -12, -15],
 [-18, -4, -7, 3, 3, -2, 10, -5, 1],
 [14, -4, -7, 1, 11, -16, 9, 7, 11],
 [-6, -6, -17, 18, -17, 17, 7, -8, -11],
 [3, 1, -11, 10, 7, 11, -2, 1, -3],
 [-12, -3, 8, 4, 5, -10, 16, 1, 18],
 [-2, 12, -11, -4, 12, 11, 1, -7, -2]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[11, 10, 0, -8, 15, -12, 15, 1, 5],
 [-9, 13, -4, 18, 1, -16, 18, -11, 4],
 [-8, -11, 10, 11, -9, 9, 17, -6, 13],
 [17, 18, 7, 3, -15, 12, -1, 5, 4],
 [3, -17, 12, -8, 9, 13, -14, -9, 5],
 [16, 4, -2, -18, 12, 12, 15, -10, 3],
 [-6, 6, -1, -7, -2, -4, -4, -4, -6],
 [-2, 13, -10, 1, 7, 8, 2, -1, -6],
 [-3, -10, -7, 0, -12, 16, -1, -3, -15]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[6, 13, -6, -2, 18, -13, 0, -6, 7],
 [-5, 12, -15, -11, 6, -6, 13, 9, 11],
 [-16, 9, -16, 15, -3, 3, 13, -11, -11],
 [-13, -5, 13, 16, -9, -16, -7, 12, 10],
 [-14, 6, 12, 2, 1, 3, -15, -6, 1],
 [-6, -2, 17, 14, -18, -4, -6, -2, 5],
 [-11, 8, 4, -11, -11, 7, -6, 18, 9],
 [6, -3, -17, -1, -2, 11, -6, 13, 10],
 [11, -1, -6, 2, 11, 2, -2, 0, -4]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-10, -9, 12, 4, 11, 14, -10, -18, 16],
 [-8, 15, -3, -10, 13, -4, -7, 14, -5],
 [-11, -11, 8, -7, -18, -8, 12, -2, 14],
 [13, 10, 2, 2, 4, -13, 3, 18, -11],
 [16, -8, 5, 2, -17, 0, 9, -2, -13],
 [0, 9, -17, 18, -15, 3, 7, 17, -6],
 [13, -2, 17, 0, 16, 9, -18, -1, 14],
 [-7, -11, 5, -3, -15, 8, -10, -3, -7],
 [12, 5, -5, 6, 15, -16, 5, -10, 7]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[1, -9, 0, -16, 5, -14, -16, 8, -3],
 [-4, 16, -7, 7, 15, 4, 12, 1, -7],
 [4, -15, 4, -18, 6, -17, 11, -16, 2],
 [6, 1, 3, 2, 14, -4, -4, 6, 2],
 [5, -14, -13, 4, -15, 8, -1, 2, 9],
 [16, 3, 4, -16, -9, 6, -11, -8, -14],
 [18, 10, -14, -10, -17, -18, 11, -8, 9],
 [-7, 7, -6, -11, 9, 11, -10, 12, 2],
 [15, 12, 6, -7, -18, 3, 18, -18, -18]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[2, -4, -2, 3, 16, -3, -11, -2, -2],
 [7, -6, -2, -2, -5, -13, 16, -5, -11],
 [-4, 8, -6, 12, 16, -13, -14, 3, 4],
 [6, 15, 7, -14, 7, 1, -13, -13, -1],
 [-15, -2, -5, -5, -6, -12, -4, 0, 16],
 [-2, 16, 0, 1, 17, 16, 13, 5, -2],
 [-12, -18, 16, 13, 17, -6, -13, -5, 18],
 [-4, -15, -3, 9, -3, -15, 7, 9, 13],
 [-17, 12, -16, -11, 5, -4, 12, -10, -17]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-11, -12, -3, 16, 11, -9, -1, -14, 10],
 [15, 4, -14, 11, -13, -15, 10, 4, -13],
 [13, -1, -4, 13, -10, 18, -9, 1, -13],
 [-16, -8, -2, 13, -15, -15, -2, 0, -14],
 [13, 3, -13, 16, 3, -18, 1, 3, -8],
 [-6, -16, -10, -7, 4, -5, 14, -1, -10],
 [4, -9, 0, -14, 4, 11, 6, 9, 15],
 [6, -9, -5, 11, 6, -5, 16, 15, -9],
 [16, -8, -8, 2, 2, 3, -12, -2, -17]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-7, -1, -8, -3, -1, 16, 7, -3, -13],
 [-7, -6, -15, -17, 7, 8, 8, -4, -11],
 [-12, -7, -6, -2, -2, 17, 2, -11, -14],
 [7, -3, 17, 9, 10, -7, 18, 11, 4],
 [-3, -5, -9, -12, 18, 10, -16, -4, 17],
 [0, -6, 2, 18, 8, 10, 1, 6, -13],
 [17, -17, 3, 13, -3, -1, -14, 17, 11],
 [0, 4, 15, -6, 10, 17, 3, 17, -10],
 [0, -13, -4, 1, -10, 13, -15, -1, -14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[1, 4, -8, 18, 3, -15, 10, 15, -6],
 [-10, 12, -12, -15, 0, 11, 12, 16, 2],
 [12, 0, 12, 13, -17, -9, -17, -17, 5],
 [-2, 13, -3, -3, 12, 5, -18, -8, 2],
 [-15, -12, 7, -7, 12, -2, 14, -8, 9],
 [13, -18, 9, -12, -17, 5, -15, 0, 7],
 [-8, -8, -16, -7, -16, 8, -17, -3, -17],
 [11, 1, 9, 6, 13, -9, 14, -6, 18],
 [-3, 3, 1, 8, -3, 15, 13, 7, 6]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-17, -7, -10, -7, 7, -10, -9, 13, 15],
 [1, -17, -18, 17, 5, 8, -17, 12, -5],
 [-17, 10, -4, -7, 18, 9, 1, 5, 2],
 [-9, -5, 18, -1, 5, -5, 15, -7, 3],
 [-13, 17, 17, 3, -5, -3, 17, 6, 13],
 [14, 17, 1, -1, -16, 4, 13, -3, -14],
 [-15, 2, -5, 12, -5, -13, -7, -3, -2],
 [4, -5, -12, 13, -4, -2, 15, -14, 8],
 [4, -5, -4, 14, 12, 16, -2, 9, 0]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[4, 13, -6, 1, 16, -14, -10, 10, -13],
 [6, 12, 3, -17, -14, 8, 6, -11, -18],
 [1, 4, 13, -8, 5, -8, 10, 7, -3],
 [16, 1, -16, -18, -18, -2, -17, 10, 1],
 [-13, -11, 10, 14, -16, 16, -14, 8, -7],
 [1, 1, -10, -15, 0, 8, -6, -6, 3],
 [9, 3, 0, -11, -11, 7, 7, 4, -6],
 [9, -10, 1, 0, -7, -4, 12, -5, -8],
 [7, 8, -8, 15, 0, -13, 9, -18, 16]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-11, -12, -8, -15, 6, -7, 7, -7, 18],
 [5, -3, -6, 6, -15, -8, 13, -12, -8],
 [9, 4, 4, 9, 7, 6, 10, 0, 14],
 [17, -5, -5, 16, 11, 9, -2, -16, -3],
 [11, 10, -4, 6, 4, 6, -12, 3, -2],
 [-1, -9, -9, -12, 8, 14, -18, 15, -15],
 [-2, -15, 7, -15, -18, -12, 11, -10, 16],
 [-11, 5, 0, 17, 8, 13, -5, -1, 9],
 [10, -3, 16, 12, -15, 18, -2, 7, -15]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[11, 11, 3, -8, -17, -7, 11, 17, -1],
 [7, -12, -18, 7, 4, 7, -13, -13, -11],
 [5, 3, 0, 18, -1, 12, 18, 11, 14],
 [-9, 18, -7, 11, 8, -10, 2, -7, 10],
 [14, -4, -17, -1, -16, -12, -1, 18, 14],
 [12, -8, -15, -1, -15, 15, 10, 5, 3],
 [-17, -13, 6, 2, -3, 12, -5, 9, 13],
 [9, -10, 3, 13, -14, 4, -14, 13, -9],
 [-4, -12, 10, -16, 0, -9, 9, 10, -4]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[16, -13, -7, -6, 10, 0, -16, -11, -11],
 [1, -15, 2, -16, -11, 4, -3, -6, -16],
 [-10, -5, -6, -12, -4, -12, 15, 3, 5],
 [18, -18, -9, -3, -11, 6, -7, 6, -2],
 [7, -5, 17, 4, -13, -14, 6, -1, -6],
 [-5, 9, -1, 9, 8, 13, -10, 13, 1],
 [9, 14, -15, 15, -16, 7, -11, -13, -3],
 [5, 11, -6, -14, 6, 1, -1, -1, -17],
 [-9, -7, -6, -8, 0, 16, 7, -5, 5]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-18, 3, 4, 0, -1, -7, 9, 9, 14],
 [0, 9, 18, 7, 16, 15, 16, -3, -6],
 [4, 3, -3, 9, 16, -11, 3, 2, 7],
 [2, 6, -18, -13, 4, 4, 4, 13, 11],
 [-6, -1, 4, -4, 14, 2, 4, 8, -1],
 [5, -12, 1, 8, -13, 8, -10, 12, 2],
 [7, -6, 4, 1, 18, 9, -2, 9, -17],
 [6, -13, -8, -13, -8, -5, -17, -16, 16],
 [14, 5, 0, -1, 5, 16, -18, 17, 6]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[15, 6, -3, 15, 10, 0, 4, 0, 6],
 [-3, -10, -18, 0, 14, 15, -3, -1, 15],
 [6, -13, 2, -13, 13, 12, -9, 11, -1],
 [5, -10, 12, -4, -15, -10, -10, 7, -15],
 [-2, -3, -4, 16, -14, -14, 1, -4, -1],
 [-17, 10, -6, -15, -9, 12, -11, -16, -10],
 [11, -8, 16, 18, -6, 17, -6, -7, 18],
 [-9, -10, -12, -17, 4, 2, 4, 10, -5],
 [7, -14, 12, 6, 12, 1, -2, -17, 6]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-6, 9, -13, -16, 16, -1, -8, 1, -14],
 [0, 3, 0, -3, 5, -15, -4, 6, 16],
 [-5, 0, 17, -12, 11, 0, 6, -3, -11],
 [-1, 9, -3, 0, -2, -6, -12, 8, -9],
 [15, 17, 6, -13, 5, -1, 4, -13, 10],
 [6, -2, 5, -8, 7, 15, 9, -16, -8],
 [-5, 7, 2, 11, -11, 1, 13, 3, -12],
 [-10, -18, 10, -11, -15, 16, -16, -12, 8],
 [-18, 8, -3, -12, 4, -8, 14, 17, 18]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-2, 16, -14, 13, -16, 16, -5, 12, 12],
 [-2, 5, 4, -1, -5, -4, -4, -13, 8],
 [-4, 17, -11, -4, -16, -6, 15, 5, 13],
 [13, 11, -6, -18, 15, -4, -5, 10, 15],
 [-1, -12, 10, 12, 6, -5, -11, 8, -17],
 [-2, 18, -5, 6, 11, 10, 1, 2, 3],
 [16, 18, -3, -2, -3, -17, -15, 2, 15],
 [11, -13, -2, 6, -14, -14, 1, -3, 18],
 [-10, -14, -17, -10, 17, 3, 3, 3, 15]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[10, 14, -1, -12, -18, 14, -18, 5, -15],
 [-15, -1, 8, 13, 14, 9, 17, -13, -3],
 [15, 4, 5, -6, -1, -6, 18, -2, -4],
 [-1, 4, 11, 15, -15, -16, -12, -1, -12],
 [-13, 3, -18, -15, 10, 2, 7, -5, -10],
 [-7, -13, 1, 5, 8, -11, -18, 5, -12],
 [0, 3, 16, 11, 10, 3, -8, 1, 10],
 [15, -18, 12, 11, -1, -2, -5, 4, 6],
 [-4, 3, -16, 0, 15, 16, -18, 2, 10]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-13, 18, -18, -18, 8, 2, -3, 7, -3],
 [9, -18, 17, -9, -2, 4, -12, -12, -4],
 [15, -15, -5, -5, -3, -12, 13, 0, -17],
 [-9, -2, 18, -7, -13, 3, 13, 1, -18],
 [-13, 0, -1, -13, 14, 4, 4, 7, -6],
 [-12, -4, 8, 7, 14, -4, 17, 8, -14],
 [-17, 14, -3, 4, -3, -5, 10, 7, 16],
 [-4, -16, 4, 10, 15, 14, 4, -12, -16],
 [13, 12, -1, -12, -18, -5, 13, -13, -9]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-12, 7, 15, 11, 17, 2, -2, 14, -9],
 [-7, -3, 13, -4, 8, 9, -2, -17, 17],
 [-12, -6, -4, 6, 4, 3, 7, 14, -8],
 [-9, 6, 18, 5, 14, -2, 5, 18, -17],
 [13, 5, -10, -15, -2, -2, 11, -8, 2],
 [2, -1, 10, 5, -9, -2, -1, 1, 18],
 [-1, -2, -10, -5, 10, 12, -15, -1, 1],
 [-10, -6, -4, 8, -4, 9, 18, 0, 7],
 [7, 6, 7, 7, 9, -1, 13, -16, -17]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[14, 0, -2, 14, -7, -16, 7, 16, -11],
 [17, -12, 17, -3, 5, -18, 6, -9, -3],
 [-3, -11, 10, 9, -13, -3, 1, -3, -12],
 [-5, 7, 7, -5, -12, 14, 7, 1, -16],
 [-15, 7, -8, -17, -5, 11, -7, 7, 14],
 [-6, -5, 5, 15, 7, 2, 9, 17, -17],
 [-10, 4, -4, -6, 4, -2, -17, 1, 1],
 [-16, -7, -17, 17, -5, -3, 0, 15, -13],
 [-6, 17, 3, -1, -7, 11, -12, 13, 0]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-13, 1, 8, 18, -12, -14, -8, -4, -16],
 [-14, 4, 18, -10, -4, -16, 10, -13, -2],
 [7, 2, -11, 2, -8, -11, 5, 16, -5],
 [-5, -9, -7, 15, -9, -2, -2, -16, 12],
 [-18, -7, -15, -6, 15, 2, 3, -15, -1],
 [-14, 0, -17, -7, -2, -9, 15, -13, -11],
 [-8, -7, -10, -17, -11, -8, 17, -9, 2],
 [1, -11, 17, 10, -7, -5, 2, 3, 2],
 [11, 1, 5, 4, -12, -10, -18, 7, 3]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-9, -13, -2, 5, -9, -11, 2, -13, 2],
 [5, 14, -1, 9, 13, -7, 8, -9, 13],
 [7, 6, -8, 4, 15, 4, 10, 12, -12],
 [14, 2, -17, -1, 14, 18, 15, 1, 16],
 [-1, 5, -11, 11, -9, 4, -8, -17, 7],
 [17, 14, -6, 6, -15, 0, -1, 18, 11],
 [0, 4, -3, -18, -7, 5, 15, -11, -1],
 [-14, 7, 11, -6, 0, 10, -16, 7, -7],
 [-17, -8, 9, -1, -6, 18, 3, -7, -17]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[18, -12, 7, 7, 5, -7, -3, 4, -10],
 [13, -4, 18, -6, -14, -8, -9, -6, -4],
 [-12, 9, 13, 16, -4, 17, 2, -13, -18],
 [-15, -8, 7, 18, 4, 10, 2, 8, -6],
 [4, -3, 11, -15, -3, 12, 6, -7, 7],
 [18, 14, 9, -10, -7, -14, 9, 16, -14],
 [15, 15, -6, -5, -8, -15, 14, -12, -11],
 [18, -9, -4, -4, -14, 10, 0, -9, -7],
 [-15, 12, -1, -3, 17, 6, 4, -7, 15]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[17, 18, -16, -10, -1, 16, 15, -5, -15],
 [10, -4, 9, -3, -7, -14, 15, -18, 13],
 [7, -2, 8, 5, 16, 7, 4, 3, -15],
 [-10, -15, -12, 4, -17, 5, 12, 12, 15],
 [5, 7, -3, -6, -4, 8, -15, -3, 11],
 [11, 17, -16, 3, 3, -7, 2, -15, 12],
 [12, 4, 1, -4, 4, 9, -3, 18, 2],
 [-4, -2, 18, -6, 0, 11, -1, -5, 17],
 [17, 1, 0, -12, -15, 15, -17, -14, -9]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[13, -6, -14, -9, -9, 8, 2, -11, -18],
 [9, -5, 2, 11, 2, -10, -2, -14, 12],
 [0, 17, 14, -6, -5, 14, 10, 17, -9],
 [12, -13, -18, -12, 8, 2, 9, -3, 4],
 [1, 6, 9, -14, 2, -1, -13, 10, 0],
 [14, -18, -16, 2, 16, -16, 6, 1, 15],
 [2, 4, -13, -6, 4, -10, -2, -17, 0],
 [0, -12, 1, -10, -2, 8, -17, 17, 0],
 [-2, -14, -1, -12, -2, 17, -15, 6, -14]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[11, -7, -15, 5, 10, -10, -15, 5, -5],
 [-14, -1, 0, -7, -1, -2, 11, 5, -8],
 [16, 4, -2, -18, -4, 13, -10, -4, 9],
 [5, 16, 3, 8, 0, -7, 1, -18, 2],
 [-18, -9, 13, 3, -1, 13, 8, 9, -1],
 [10, -1, -11, 12, 15, -12, 17, -1, -10],
 [-10, -11, 16, -1, -14, -5, 9, 11, -15],
 [1, 6, 9, -7, -17, -5, 3, 12, 4],
 [1, -15, -4, 5, 6, -18, -12, 12, -7]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-14, -7, -1, -17, -9, -4, 11, -2, -15],
 [-12, 12, 15, -13, 15, -4, -5, -13, 18],
 [13, -16, -16, 3, 3, -9, -16, -7, 10],
 [-2, -12, -6, -17, -15, -9, 5, -2, -13],
 [0, -14, 13, -9, -10, 8, -6, 0, 2],
 [5, -15, 5, 16, -16, -15, 18, 16, 12],
 [6, -6, -15, -5, -6, 8, -13, -2, 17],
 [16, -2, -17, -6, -17, 9, 7, 3, -16],
 [16, -7, 5, -14, 1, -6, -7, -6, -9]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[14, -3, 16, -16, -14, 7, -8, -12, -9],
 [15, -16, -11, 12, -8, -12, -17, -13, 13],
 [1, 15, -3, 6, -7, -12, -2, -8, -13],
 [4, 8, -13, -17, 3, 1, 6, -4, 10],
 [-11, 18, 14, 3, -14, -1, 18, 11, 12],
 [-9, -4, -1, 4, 14, -3, 16, 15, 9],
 [-17, 11, -6, -3, -14, 9, 1, 5, 8],
 [11, 8, 7, -12, -14, 4, 9, 15, -4],
 [13, 7, 12, 0, -10, 10, -15, -16, 10]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-8, 14, -8, 8, 14, 2, 12, -17, 8],
 [17, -8, -1, -18, 16, 16, 12, 9, -18],
 [6, 1, -16, -17, -1, -9, -14, -10, -17],
 [15, 12, -9, -7, 17, 2, -13, -16, -9],
 [-14, 7, 2, 7, 7, -11, -14, -4, -3],
 [-18, -3, 18, -16, 12, -6, -3, 2, -17],
 [8, 7, 6, -8, -11, -11, 14, -12, 2],
 [-11, 2, 1, -11, 12, 10, -10, -4, 11],
 [7, -9, 10, -3, 17, 1, 18, 3, -12]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[4, 10, -3, 9, 12, -5, 14, -10, 8],
 [5, -6, 7, 10, 9, 9, -11, 4, 10],
 [-14, -12, 17, 8, -17, 6, -10, 8, -18],
 [4, -9, 6, -16, -13, -13, -17, -1, 4],
 [-17, -7, 3, 18, 1, 5, 1, -18, -18],
 [-2, -18, 11, -16, -8, 5, 3, 7, -6],
 [-18, 5, -9, 16, 5, 9, 17, -3, -3],
 [-2, -4, -3, -4, 15, -8, -18, -4, 7],
 [-15, -14, 16, -6, -9, -8, -1, 15, 4]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-12, -16, -7, -12, 7, 14, 18, -4, -17],
 [-12, 13, -15, 1, 17, 13, 9, -6, -18],
 [16, 11, 17, 6, -3, 0, -18, -14, 3],
 [5, 18, 17, 17, -15, 17, -1, -3, -1],
 [3, -17, 2, 17, 10, 7, 2, -2, -3],
 [12, -10, 12, -5, 18, -17, -5, 14, 16],
 [1, -17, 0, 18, -1, -3, -15, -7, 10],
 [-12, -5, -7, 16, -14, -2, 13, -9, -2],
 [-14, -10, 14, 17, 17, -1, -10, 10, -5]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[6, -4, -13, 10, -4, 10, -15, -1, -3],
 [-8, -5, -16, -1, 1, 6, -6, -15, -5],
 [14, 9, 18, -11, 15, -14, -14, 12, -10],
 [13, 14, -16, 11, -7, 10, -16, 7, 11],
 [-10, 7, -17, -16, -15, 6, -6, 16, 4],
 [-10, -17, 12, -17, 13, -1, -6, -14, -9],
 [6, 15, 18, 11, -12, -13, -16, -6, -16],
 [7, 5, -13, -7, 17, -17, -8, 15, 7],
 [-1, 2, 17, 3, 11, 11, -11, 15, -10]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[1, 6, 0, -14, -8, -4, -11, 0, 4],
 [8, 13, 7, 8, 0, 10, 14, 0, 18],
 [0, 14, -3, 4, -12, 7, 13, -7, -11],
 [-14, 9, -14, 7, -14, 3, -4, -6, 9],
 [14, 4, 14, -1, 11, 7, -3, -6, 14],
 [7, -18, -17, -13, 5, -1, 8, -11, 9],
 [-9, -2, 10, -13, -5, 3, -13, 7, -7],
 [16, -5, 3, 4, -12, 6, -6, 2, -9],
 [-10, -4, -17, 6, -6, 15, 15, 16, -16]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-13, 0, -16, -1, -10, -7, -14, -16, -8],
 [11, -15, -14, -18, 8, 9, 10, -1, -7],
 [-6, -17, 18, -3, 5, 16, 3, 17, -8],
 [10, 16, -4, 12, -3, -9, 13, -17, 5],
 [4, -17, 12, 7, 10, -16, -5, 6, -18],
 [-16, 7, -1, -10, 4, 2, -18, 2, 8],
 [-13, 17, 9, -2, -16, -7, -7, -17, 3],
 [4, 11, -14, -10, 2, -8, -14, 16, 8],
 [-17, 5, 12, 14, 11, 18, 9, 12, -8]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[4, -17, 8, 16, -17, 18, 2, -14, 2],
 [10, 1, 1, 6, -17, 13, 7, -13, -16],
 [14, -18, -14, -6, 0, -7, 6, 16, -7],
 [11, -14, 15, 3, -6, -16, 1, 12, -14],
 [5, 14, -11, 5, 1, -3, -7, -6, 6],
 [13, 5, -10, 4, -6, 13, -4, 17, -14],
 [3, -3, -9, 5, -1, -1, -12, -15, 7],
 [-14, -3, 16, 7, -1, 10, 4, -5, -4],
 [14, 6, 2, -2, 4, -2, -5, 10, 1]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[11, 0, -6, -1, 4, 14, -1, -10, 14],
 [13, -2, 0, 8, -13, 16, 18, 15, 1],
 [6, -15, -9, -9, 5, 2, -8, 8, -3],
 [7, 11, -3, -12, -3, 16, -3, -7, 16],
 [2, 17, -2, 13, -13, 5, 8, 1, 6],
 [-17, -10, 9, -16, 1, -13, 14, -18, 18],
 [-13, 15, -4, 7, -5, -12, 12, 5, 12],
 [10, 13, -2, -5, 17, 5, 8, 6, 13],
 [-1, -1, 18, 7, -10, 16, -11, 1, 3]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[0, 11, 9, 16, -8, 12, 17, 11, 4],
 [0, -7, -4, 12, 18, 18, -4, 10, 7],
 [-17, 1, -4, -15, 3, 4, 7, -8, 9],
 [-17, -11, 10, -8, 18, -1, -5, -9, 16],
 [-10, 16, -8, -7, -16, -5, 9, -8, 6],
 [2, -9, -4, 0, 3, 2, 13, 4, -6],
 [-14, -15, 9, -5, -11, -10, 16, 18, 2],
 [-1, 14, -11, -2, 12, 15, -13, 3, -5],
 [-16, -7, 17, -7, -17, -17, -4, 4, 10]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-2, 13, -12, 11, 9, -5, 11, -2, 13],
 [-13, 5, -13, 8, -1, 5, 18, 5, 15],
 [-4, -8, 3, 5, -18, -1, -7, 9, -12],
 [4, 2, 15, -8, 3, 16, 10, 9, -1],
 [-5, -1, 9, 5, -11, -11, -15, 8, 17],
 [-14, 14, 15, 11, -11, 7, 18, 15, -12],
 [9, 9, -5, -15, -1, 6, -12, 9, -14],
 [-16, 12, 1, 0, -8, -16, 4, -12, 4],
 [-12, 15, 0, -10, -1, 6, -5, 6, 0]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[-4, -3, 8, -9, -15, 0, 9, 2, -5],
 [14, -9, 0, 11, 3, -16, 18, -1, -8],
 [-17, -7, -13, 10, 11, -17, -10, -17, 10],
 [14, -9, 15, -11, 18, 14, -13, 0, 13],
 [8, -18, 14, 13, -14, -2, -11, 15, -10],
 [4, 16, -12, -4, 1, 6, -16, 5, 15],
 [3, -8, -11, 16, -11, 18, 8, 9, 15],
 [13, -4, -2, 14, -3, 10, -10, 14, 10],
 [-6, 2, 2, -14, -9, -13, -6, -18, 1]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-11, -9, -10, -16, -8, -7, -9, 6, 6],
 [-8, 17, 7, -5, -18, -15, 11, -7, 16],
 [-6, 12, 4, -15, -3, -12, 3, 10, -8],
 [14, 10, -7, -12, 7, -10, 15, -6, 17],
 [6, 5, -2, -17, -6, 12, 10, 9, 8],
 [-4, 12, -4, 14, 1, -7, 18, -10, 4],
 [-11, 13, -5, 8, 6, -6, 2, 12, 18],
 [-14, -6, 9, 6, 16, -12, 13, -16, 18],
 [3, -11, -2, 8, 14, -2, -7, 8, -11]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[4, 10, 1, -3, -2, -3, 0, -11, 10],
 [17, 7, 12, -7, -2, -4, -10, -7, 13],
 [6, -1, -4, 13, -13, 16, 15, -14, -1],
 [-3, -11, 6, 13, 7, 3, 12, -9, -7],
 [9, -13, 1, -14, 4, -10, 10, -3, 3],
 [-11, 1, -5, 18, 15, -8, 14, 12, 15],
 [-12, 4, -12, 6, -16, 1, 15, 11, -2],
 [-9, 16, 1, -1, 8, 17, 4, 13, -9],
 [-8, -13, 15, 17, 18, -2, -7, 2, 0]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-16, -1, 0, -13, -3, -11, -1, -7, -9],
 [-12, -18, 17, 2, 18, 5, 6, -12, -2],
 [10, 11, -12, 14, -12, 5, -8, -10, -7],
 [16, -15, 17, 9, -6, 4, 0, 18, 5],
 [-3, 14, -7, 15, -12, -8, 12, 10, -6],
 [12, -17, -4, -8, 15, -15, -8, 10, -17],
 [-3, -6, 18, -2, 2, 0, -12, -11, -6],
 [18, -17, -8, 5, -13, 7, -12, 0, -13],
 [10, -17, 0, -15, -13, 18, 9, 11, -12]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[-10, 6, 14, -18, -13, -1, -9, 9, -8],
 [14, -18, -6, 18, 1, -18, -16, -1, -5],
 [12, 8, -2, 10, 17, 18, 7, -2, 3],
 [6, -17, 3, -14, -15, 17, -13, 2, -6],
 [18, 6, 7, 1, 14, -5, 17, -2, 2],
 [-3, -3, 1, 10, 9, -11, 5, -16, 6],
 [0, 14, -17, -4, 3, -9, -1, 3, 8],
 [-6, 14, -14, 7, -6, 8, -5, 5, -16],
 [11, 16, -5, -7, 9, 10, -2, 2, 4]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[1, -8, 15, -9, -9, -13, 17, 5, -7],
 [4, 8, 18, -13, -18, -13, 3, 5, 6],
 [-4, 7, -11, 5, -13, 16, -18, 17, -7],
 [-8, -7, -12, -8, 17, 12, 14, -6, -1],
 [5, -10, 12, -9, -17, -4, -16, 12, -13],
 [-16, -8, -4, 9, -9, -12, -4, -1, -1],
 [5, -17, 1, 15, 7, -12, 11, -14, -8],
 [-18, 15, -18, 0, -17, 2, 1, 4, 2],
 [5, -15, -7, 3, 1, -1, -18, 11, 14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[5, -5, 17, -14, -8, 5, 12, -6, -3],
 [5, -6, 5, 7, -17, -3, -18, -8, 16],
 [10, 18, -2, 9, 10, -16, -9, -5, -7],
 [11, 13, 13, 13, 7, -18, -17, -2, 11],
 [-12, 8, -10, 3, 15, -18, -10, 1, 0],
 [17, -15, -10, 3, -1, -7, -10, -13, 0],
 [-12, -3, -14, -3, -18, 18, 0, 18, -2],
 [7, 3, -11, 14, -17, 11, 1, -1, -9],
 [5, -15, 18, -15, -6, 6, -6, -1, 5]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-17, 14, 0, -10, 9, 16, -9, -18, 2],
 [-10, -4, 16, -14, 3, 4, -12, 4, 6],
 [8, -13, 15, -10, 14, -13, 18, 12, 15],
 [10, -5, 17, 17, -4, -11, 7, 17, 2],
 [9, -15, -3, 3, -7, -3, 18, 10, -1],
 [-9, -1, -18, 2, -18, -4, -15, 1, -9],
 [4, 15, 14, 15, -9, 1, -18, -6, -18],
 [-14, -3, -4, 9, 12, 4, -2, 15, -6],
 [-5, -8, 9, 13, 16, 12, -2, -10, -9]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-11, 2, -6, -14, -13, 11, 12, -2, -8],
 [1, -10, -17, 18, -18, -15, 17, 6, -16],
 [-10, 3, 4, -7, -9, 15, -9, 11, 3],
 [-13, -17, 11, -17, 13, -3, -7, -18, -11],
 [-6, -4, -11, -9, -14, 0, -8, 1, 1],
 [2, -1, -9, 15, 7, 11, -10, 12, -15],
 [-13, -5, -15, 7, -2, 0, -13, 10, -8],
 [-3, 11, 6, -8, -12, 7, 3, 6, 0],
 [12, 7, 17, 4, -6, 6, -17, -17, -3]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-10, 9, -6, 16, -6, 12, 2, 13, 15],
 [-11, -17, 13, 9, 18, -18, -9, -15, 16],
 [-9, -8, -5, -7, -2, -3, 16, -17, -8],
 [-16, 10, -1, 1, -5, 15, 12, -1, 11],
 [6, 0, -11, 9, -11, 12, -16, -16, 3],
 [-2, 17, -2, -5, -10, 11, 2, -7, 18],
 [13, -8, 1, 16, -8, -11, -15, 8, 11],
 [8, 2, 1, -15, -8, -6, -10, -15, -7],
 [-10, -6, 7, -6, 9, 0, 5, 0, -6]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-6, 9, -17, -9, 3, -6, -10, 14, -5],
 [1, -4, 13, 14, -2, 5, 11, -6, -3],
 [-17, -2, 13, -11, -16, -7, 1, -3, -5],
 [-3, 14, 11, -7, -4, -1, 9, 4, -5],
 [11, 14, -4, -12, -4, -8, 10, 12, 6],
 [5, 0, -17, 3, 1, 14, -11, 6, -10],
 [15, 4, -14, 6, -11, -3, -4, -18, 3],
 [-16, -5, 17, -1, -1, -16, -9, -18, 8],
 [8, -8, -14, -12, 0, 10, -4, 16, 18]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-7, 11, 1, 18, -16, -10, 7, -17, 4],
 [4, 2, -3, -10, -6, 9, 8, -2, 17],
 [-18, -1, -10, -6, -4, -15, 14, 5, 17],
 [-9, 17, 1, -8, -7, -1, 11, 18, 1],
 [6, -7, 2, 6, -8, -10, 6, 16, 13],
 [-5, -18, -2, 6, -11, -14, -14, 16, 0],
 [4, -10, 11, -3, 14, -17, -5, -18, 7],
 [6, -3, -4, 7, -3, -5, 10, 5, -4],
 [0, -11, 15, -17, 8, -9, 16, 4, -11]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[9, 4, -15, -5, 10, -18, -15, 13, 14],
 [7, -2, 4, 13, -4, -6, -17, 0, 5],
 [5, -8, 3, -4, -9, 8, -10, 9, -18],
 [-2, 12, -9, 18, 10, -1, -13, -7, -5],
 [-9, 1, -4, 12, -12, -9, -9, 9, 11],
 [18, -16, -4, 2, 18, -7, -15, -10, 9],
 [4, 3, 5, 7, 11, 14, -3, 3, -1],
 [-12, 7, -11, -13, 11, 4, 13, 3, -10],
 [12, -12, -10, -6, -16, 16, 14, 2, 12]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[15, 13, 16, -4, 13, -13, 2, 14, 13],
 [0, 14, 9, 12, 2, 15, -4, -5, 0],
 [-4, -13, -10, 18, 1, 15, 7, -1, 9],
 [-10, 13, -13, -5, 9, 5, -6, -7, 0],
 [2, 8, 0, 5, 7, 9, -1, 17, 10],
 [-2, -15, 10, -15, -9, 6, 12, -16, -17],
 [6, -13, 7, -11, 16, 8, 6, -1, -18],
 [-16, -15, 18, -4, -11, 0, 7, -9, -5],
 [0, 11, -14, 12, -12, 0, 12, 5, 15]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[4, -13, 17, 8, -8, -14, -2, -12, 8],
 [-4, -6, -8, 7, 3, 9, 5, 10, -10],
 [-15, -1, -3, 14, 10, -9, -10, 12, 9],
 [-16, -5, 6, -4, -17, 5, -5, -12, 17],
 [5, 8, 18, 11, 8, -4, 7, -18, -15],
 [10, -18, 3, -8, -9, -2, 17, 7, 2],
 [-6, -10, -8, -8, -13, -18, -13, -6, 3],
 [12, 3, 18, 8, -5, -14, 17, 13, 15],
 [-12, -9, -2, 11, 2, -6, -18, -18, 14]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[6, 7, -6, 9, 14, 18, 11, -11, -18],
 [-7, -14, 5, -13, 6, -18, 6, -18, 13],
 [-16, 0, 10, -17, -10, -2, 17, -2, -7],
 [1, -16, -15, -2, 18, -4, 14, -3, -8],
 [1, 5, -3, 11, 15, -18, 5, 5, -10],
 [3, -7, -2, 6, 9, -4, 11, 8, 3],
 [-9, 12, 8, -7, 12, 13, 13, 16, 2],
 [-9, -3, -12, -15, 8, 6, 12, -8, 1],
 [17, -2, -8, 11, 16, 3, 8, 18, 16]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-15, -3, -3, 2, 7, 17, 0, -2, 7],
 [3, 9, -18, 17, 18, -17, -2, 2, -10],
 [-6, -8, -3, -3, -17, -11, -6, -2, 5],
 [-16, 11, -6, 0, -12, -10, 0, 3, -1],
 [4, -17, -8, 12, 14, -5, -3, -8, 14],
 [-12, 12, -5, 9, -3, 0, -2, 7, -13],
 [-10, -2, 12, -7, 4, -14, 17, 17, -16],
 [5, -2, 7, -15, -7, -18, 2, 0, 2],
 [-1, -16, 13, -9, -4, -14, -15, 9, -15]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-4, -2, -16, -9, 4, -1, -18, 16, 12],
 [-18, -16, -16, 18, 0, 10, 6, 14, 17],
 [10, 7, -15, -5, 8, 14, 3, -16, 4],
 [2, 4, -15, 2, 18, 12, 2, 7, 16],
 [5, -8, 10, -16, -18, 0, 3, -5, -5],
 [-3, 14, -6, -7, 14, 14, 10, -14, -13],
 [12, -3, 12, 6, 14, -6, -9, 5, -9],
 [12, -6, -16, 15, 9, 0, 4, 13, -6],
 [14, 15, 14, -14, -16, -12, 5, 3, 4]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[11, -1, 13, -12, 14, -14, 9, -11, -4],
 [-15, 15, -14, 14, -14, 15, 7, -18, -15],
 [7, 14, 14, -11, 1, -3, 2, 7, 4],
 [-1, 12, -7, -18, -10, -16, 7, -10, -3],
 [5, -5, -16, 15, 14, 5, -10, -6, -17],
 [-12, 2, 0, 6, 3, -8, 14, 13, 2],
 [1, -11, 18, -10, 6, 6, 14, -17, 0],
 [1, 10, -13, -2, 6, -15, 11, 1, -16],
 [4, -1, 7, 17, -11, -2, 12, 18, 14]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[8, -15, 3, 7, 13, 5, 16, 18, 13],
 [-12, 14, 12, -7, -8, 5, -11, 13, 3],
 [15, 0, 1, -5, 14, -9, -3, -15, 8],
 [9, -3, 14, 0, 2, 3, -10, -10, -10],
 [8, -2, -11, -3, -1, 14, -18, -7, -13],
 [-14, -3, -1, -1, -18, 0, -11, -16, 6],
 [-14, 0, -1, 12, 14, -1, -3, -3, -12],
 [-5, 6, 13, 3, -3, 10, -3, -7, -2],
 [18, 8, 6, -6, -11, -14, -7, -16, 16]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[14, 3, -10, -1, 10, 8, 17, -2, 15],
 [-16, -14, -5, -16, 4, 11, 4, 8, -9],
 [6, -6, -3, 15, 18, 3, -2, 4, 17],
 [-10, -17, 13, 3, -6, -11, -18, -2, -7],
 [-15, -6, 12, -12, 4, 5, -14, -14, -2],
 [11, -10, -13, 6, 0, -3, 2, -17, -9],
 [-3, 18, -4, -6, -6, 13, -11, -1, 17],
 [7, -9, 12, 14, 10, -14, -6, -18, 4],
 [-16, -16, -12, 17, 16, -4, -16, 10, 11]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-1, -8, -18, 10, -9, 9, 12, 0, -16],
 [17, -4, 14, 7, -3, 17, 14, 1, -6],
 [14, -14, 18, -5, 8, 4, -5, -15, 0],
 [-15, 11, 0, 12, 12, -10, -6, -5, -9],
 [12, 18, 4, 8, -13, 7, -17, -6, 0],
 [-18, 13, 3, 10, -17, -8, -2, -11, 3],
 [-15, -8, -11, -10, 7, -17, -3, 12, -13],
 [2, 7, 0, 9, -11, -5, 5, 18, 7],
 [12, 13, -17, 6, -17, -18, 17, -7, -10]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[17, 9, 14, 3, 6, -1, -13, -1, -3],
 [-4, -11, -6, -12, -2, 13, 3, -6, 4],
 [10, 3, -18, 10, -14, 16, -9, 0, 18],
 [-12, 16, -6, -9, -17, -13, -11, 17, 6],
 [-12, 4, 0, 3, -6, 2, -18, 0, 14],
 [-15, -16, 8, 16, 9, -13, -13, 4, 14],
 [-3, 5, -14, -6, -7, -14, 18, 12, 9],
 [9, 11, -1, 8, 16, 7, -1, 14, 6],
 [12, 18, -17, 14, 13, -1, -2, 15, -12]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[16, 11, -7, 16, -8, -15, 6, 13, 1],
 [12, -15, -18, -16, 18, 3, -2, -5, 16],
 [-6, 16, -17, -6, -3, -1, -12, 17, 11],
 [-12, -4, 0, 18, -17, -6, 12, -3, -13],
 [9, 13, -9, -1, -15, -10, -12, -11, -12],
 [-16, -2, -17, -4, 10, 3, -15, -13, 7],
 [-8, 7, -2, 5, 9, 16, 12, -6, 16],
 [-3, -4, -1, 18, 8, 16, 16, 9, -10],
 [-7, -4, 2, 16, 14, 0, 4, -6, -18]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[10, 5, -3, 6, 4, 9, -3, -8, -16],
 [-4, -18, -12, -18, 13, -10, 10, 7, 4],
 [10, 14, -12, -7, 12, 13, 1, -2, 17],
 [-16, -18, 8, 14, 1, -5, 17, -14, 4],
 [-4, -13, 14, 0, -6, 10, -13, -4, -3],
 [5, 4, -9, -2, 11, -9, 0, 10, -17],
 [17, 0, -12, 7, -4, -16, -3, -17, 12],
 [9, -12, 11, -12, 17, 10, 5, -15, 10],
 [-14, 10, 11, 10, 7, 0, 7, 18, 8]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[11, 11, -16, -12, -10, -6, -4, -14, 10],
 [16, 8, 8, -11, 13, 1, -9, -6, 10],
 [16, -11, 10, 12, 11, 3, 2, -7, -8],
 [-17, -17, 15, -16, -3, -15, 4, 1, 6],
 [11, -1, -8, 10, -2, 7, 4, 1, -17],
 [5, 12, 8, -17, -5, -15, -6, 17, 16],
 [-11, -17, -13, 12, -9, 2, -9, 4, -16],
 [13, 1, -9, 10, 15, 18, 1, -11, -12],
 [-13, -8, -1, 10, 6, 2, -16, -1, 5]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-9, 8, -7, -12, -2, -18, 7, -4, 14],
 [18, 12, 16, -18, -11, -7, 0, 6, 13],
 [-7, -6, 9, -18, -13, -11, -15, -14, 6],
 [3, 9, 4, -15, -15, 2, 18, -17, -12],
 [-3, -2, 1, 4, 15, -8, 15, 14, 7],
 [-17, 4, 3, 15, -4, -9, -4, 10, 4],
 [-2, -10, 17, -10, -3, 17, 14, 12, -13],
 [-9, -3, -15, 3, -6, -3, 10, -13, 7],
 [-8, 5, 10, -16, -9, -18, 7, -7, -5]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[6, -11, -15, 9, -12, -9, 17, -17, 7],
 [-5, -3, -2, 3, -15, 0, -17, -10, 0],
 [-3, 6, -1, 4, 2, -8, -15, 6, 13],
 [11, 7, 17, 15, -10, -7, -17, -14, -14],
 [3, -14, -15, -10, 10, 3, 8, -9, -3],
 [-9, -13, -14, -13, 6, -15, 13, 16, -9],
 [15, 17, -13, -3, 0, 15, 6, 12, -2],
 [11, 12, 0, 16, 10, -18, -15, 9, -1],
 [7, 0, -13, -18, -11, 14, 2, 5, 6]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[0, 10, -9, -7, 14, -12, -2, -9, 12],
 [-13, -2, 18, -1, 7, -3, -11, 5, -6],
 [10, 13, 5, -3, -8, 13, -13, 16, 14],
 [-1, 18, -6, -9, 18, 7, -2, -18, 6],
 [15, -9, 1, -12, -3, 18, 10, -7, -2],
 [1, 7, 0, -7, 2, 15, -12, 16, -4],
 [-18, 7, 16, 6, -4, 3, -13, -4, 5],
 [2, -12, 10, 13, 13, -14, -15, 3, -1],
 [16, -2, 5, -17, -6, -4, -14, -16, 18]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[18, 18, -16, 16, 4, 9, 11, -1, 17],
 [14, 7, -2, -12, -11, 12, -7, 12, 0],
 [-9, -7, 1, 18, -12, -5, -8, -12, 10],
 [-9, 10, -10, 17, -9, 0, 12, -2, -10],
 [14, 15, 5, -10, -12, -3, 0, -13, -8],
 [-7, -6, -7, 2, -9, 1, 17, 9, 5],
 [-14, 18, -7, 16, -17, -10, 3, -14, -7],
 [-18, 3, 0, -3, 12, -16, 4, -1, 7],
 [-6, -1, -16, 4, -16, 6, 8, 8, 6]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[5, -11, -10, 18, 11, 0, -3, 5, 2],
 [17, -13, -14, -5, -15, -11, 5, -8, -2],
 [2, 7, 8, -3, 7, 14, 12, -13, -11],
 [-12, 15, -5, -3, -10, -9, -2, -7, -13],
 [0, 10, -13, 6, 5, 6, -3, -3, -13],
 [18, 2, -15, 15, 9, 9, -2, -5, -12],
 [3, -18, 10, 12, 11, -4, -1, 16, 11],
 [15, -8, 8, 5, 16, -11, -1, -6, 5],
 [4, -7, 11, 12, 9, 3, 9, -6, 6]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-12, -13, 5, 0, 0, 17, -10, 17, 10],
 [5, -14, 7, -5, 10, -13, -12, 18, -1],
 [4, -18, -15, 16, 4, 8, 7, -11, -3],
 [-16, 13, -14, 1, -5, 13, 7, -13, 17],
 [-14, -6, 13, -3, -18, -6, -8, -11, 6],
 [13, 5, 9, -5, -16, 17, 8, 1, -4],
 [8, 9, 6, 14, -5, -11, -5, -18, -3],
 [-1, -12, -4, 5, -6, -10, -4, 16, 5],
 [14, -3, -11, 10, 4, 12, -5, 11, 8]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-3, -13, 14, -1, -3, -7, 1, 10, 11],
 [7, 3, 14, 10, 3, -6, -10, 5, -4],
 [17, -6, 8, 18, -12, -11, 18, -5, -7],
 [17, -2, 10, 8, -18, 15, -15, 5, 2],
 [14, -12, -18, -16, -4, 12, -3, -9, 10],
 [-13, 10, -2, 3, 5, -2, 2, -8, -12],
 [-14, 2, -1, 16, 1, -4, -14, -6, -7],
 [2, 18, -13, -12, 7, -11, -10, 8, -15],
 [2, 12, 2, 6, -4, 16, 18, 9, -5]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-15, 1, 15, -7, 14, 5, 1, -14, 11],
 [5, -12, 17, -3, -4, 4, -7, 10, -4],
 [10, 2, -4, -5, -3, -4, -15, 8, 4],
 [10, -10, -12, -15, -14, -14, -8, 9, -3],
 [11, -15, -17, -16, 2, -13, -1, -14, -10],
 [1, 9, 7, -1, 0, -16, -10, 17, 12],
 [-2, 4, 15, -14, -4, -16, 0, 9, -16],
 [-15, 5, 12, -8, 18, -18, -10, -2, -18],
 [-16, 7, 12, 7, 4, 11, -9, -11, 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:
[[3, -4, -9, 1, 4, -18, -17, 0, -5],
 [-11, -7, 7, 8, 10, -4, -18, 9, -16],
 [-1, 15, 13, 10, 6, 7, -11, 0, 3],
 [10, 14, 16, -16, 0, -9, 8, -4, -8],
 [7, 5, -6, 13, 18, -15, -6, -10, 15],
 [18, -12, -18, -7, 2, -8, -5, 15, 15],
 [6, -15, 7, -3, -9, -17, 16, 0, -13],
 [0, -11, -5, -9, -16, 10, -4, 4, 4],
 [-1, 0, 9, 7, -9, -15, -17, -16, -12]]

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, 12, -9, 0, 9, -2, 9, 0, 18],
 [4, 1, -6, -6, -8, -4, -2, 9, 0],
 [-15, 3, 3, 18, 15, 14, 14, -7, -17],
 [9, -9, 3, -2, 7, -16, -12, -11, 1],
 [-7, 16, -2, 9, -9, 3, 14, 3, 18],
 [-6, 8, -4, 3, 11, 18, 15, 15, 16],
 [0, -11, 14, 9, 18, 6, 17, -2, 5],
 [2, -17, 12, 14, 11, -7, -7, 5, 5],
 [-8, -6, 8, -11, -9, -11, 1, -11, -10]]

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:
[[-12, -5, 9, -17, -11, -6, 2, 9, 16],
 [4, -4, -17, -7, 17, -16, -14, -16, 0],
 [-17, 18, -2, -5, 9, 8, -9, -16, 17],
 [6, 3, 11, 2, 11, 9, 12, 7, 3],
 [2, -18, 18, -6, 2, -10, -2, 2, 12],
 [3, -7, -13, -3, 7, -14, -10, -5, 11],
 [7, 10, 0, -11, 4, 16, 12, 16, 13],
 [-14, -3, -2, 13, 13, 1, -17, 1, -1],
 [-18, 10, 10, 0, -13, -11, 5, 1, -5]]

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


[User]
Calculate the rounded largest singular value from the SVD of:
[[-14, 15, -3, -12, -3, -12, 8, -5, -5],
 [14, 14, 1, 17, -12, 13, -16, 10, 5],
 [3, -13, 5, 4, -9, -3, -8, 13, -13],
 [5, 14, -7, 8, -1, -6, 11, -6, 15],
 [17, 11, 6, -17, 17, -1, -14, 0, -1],
 [13, 2, -9, 18, 3, -6, -2, -10, 5],
 [-5, -11, 18, 0, 9, 11, -12, 7, -8],
 [-5, 2, -11, -16, 9, 10, 4, -1, 16],
 [-6, -7, -14, -8, -8, 12, 12, -6, -5]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[6, 14, 14, -4, -3, -13, 6, -4, -15],
 [-15, 11, 15, 8, 12, 13, -10, -11, -5],
 [14, 4, 2, -7, -17, -6, -15, 1, -5],
 [11, 10, -11, -7, 7, -17, -5, -13, 12],
 [-2, 6, 13, -7, -6, 0, 6, 12, 18],
 [6, -3, 4, -5, -13, 6, 4, -7, -6],
 [17, 15, -13, -11, -11, 14, 15, -4, 17],
 [16, 3, 4, 3, -14, 12, -6, 9, 1],
 [14, -3, 10, 4, 5, 15, -12, 18, -15]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[15, 3, -14, 4, -4, 12, -10, 6, 6],
 [2, -10, 3, 4, -15, 10, -4, -18, 11],
 [10, 1, 14, 17, 3, -6, -12, -11, 9],
 [-10, 6, -3, -9, -8, 12, -7, 12, -5],
 [13, -2, 16, -18, 10, -15, 4, 9, -3],
 [-7, 2, -2, -6, 13, 18, -4, -7, -4],
 [15, -13, -2, 1, -10, -14, 4, 14, -5],
 [-2, 0, 14, -18, -6, 8, -13, -13, 14],
 [11, 16, 4, -9, 0, 9, 4, -15, 1]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[0, 8, 15, -15, -12, -12, 7, 7, 0],
 [-10, 1, -3, -2, 3, -6, -7, -9, -18],
 [13, 11, -11, 2, 3, -1, -17, -10, -16],
 [7, 2, 11, 9, 17, 7, 15, -11, -9],
 [-5, -4, -2, -1, 13, 4, 4, 16, -4],
 [5, 9, -3, -3, -13, -17, -6, -10, 15],
 [-2, 8, 10, 18, 3, 5, -12, 15, -7],
 [4, -4, 14, -6, 4, 13, 16, -18, -14],
 [-6, -14, 13, 2, 5, -1, 2, -9, 5]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[2, 6, 4, 3, -15, 15, -13, 9, 12],
 [16, 4, -13, -3, -17, 5, -2, -18, -13],
 [-14, 10, -7, -16, -18, 8, 5, 0, -11],
 [-17, 11, 11, 13, -18, -6, -8, -9, 7],
 [1, -2, -2, -15, -14, 4, -9, 9, 14],
 [7, 10, 8, -1, -9, -14, -9, 2, 5],
 [-16, 12, 18, -17, -17, 15, 1, 14, -15],
 [-8, -14, 6, 18, 15, -10, -13, -1, -5],
 [0, -5, -2, 16, 10, -2, -11, -18, 17]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-12, -14, 5, 9, -2, 18, 1, -16, 18],
 [7, -4, -11, -6, -16, -18, -10, 12, 7],
 [-2, 15, -10, -6, -14, -6, -18, 6, -15],
 [17, -9, 9, -13, 8, -7, -16, 14, -9],
 [12, -4, -12, 17, -5, -5, -16, -16, 3],
 [0, 16, -7, -14, -9, 14, -6, 16, 13],
 [-8, 5, 16, 0, -13, 16, -15, 14, -6],
 [17, 0, -7, -8, -13, -7, 8, 6, -16],
 [-16, 1, 9, 4, -16, 5, -13, 1, -8]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[13, 8, 2, -6, 3, 16, 3, 9, 2],
 [-1, 12, 18, 2, -5, 6, 8, 4, 12],
 [10, 11, 7, 1, 0, 8, 6, 4, 10],
 [-4, -16, -9, -4, -3, -2, 0, -8, -14],
 [-14, -5, 7, -11, -14, -12, -3, -5, 18],
 [-15, 17, -2, 17, -13, -3, 10, 17, 18],
 [-9, 17, 10, -5, -15, 17, -6, -1, 14],
 [2, -3, -4, -14, -13, -16, -7, 17, 14],
 [17, 14, 12, 2, 8, 8, -11, 18, 13]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[7, -17, -7, 3, -2, -12, -15, 18, 13],
 [-8, -18, 6, 5, -2, -11, 8, -1, 8],
 [3, -3, -17, -14, -1, -16, 8, -2, -3],
 [-13, -12, -5, -4, 14, 8, 10, 18, -14],
 [10, 13, -13, -17, -13, -15, 10, 6, -10],
 [-16, 7, 8, 17, 13, -18, -3, -8, 7],
 [-18, 7, 9, -10, 3, -11, 8, 0, 6],
 [2, 5, 5, 0, -17, -5, 13, 13, 9],
 [-6, -7, -11, -4, 7, -7, 8, -1, 17]]

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[User]
Compute the rounded sum of all singular values from the singular value decomposition of the matrix:
[[8, -10, -18, -12, 7, -12, -12, -11, -3],
 [-16, -9, -12, 2, 18, 12, 4, 8, 3],
 [8, -15, 5, 4, 0, -16, 8, -16, 9],
 [-2, 12, -9, 3, 11, 2, 17, 4, -7],
 [6, 1, -12, 10, 10, -6, -16, -17, -3],
 [11, -13, -12, -14, -12, 15, 13, -6, 11],
 [6, 2, 2, 9, 1, 15, -14, -1, -8],
 [-2, 3, 18, 1, -13, 15, -5, 4, 1],
 [-6, 13, 7, -5, 17, -11, 3, 3, -3]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[8, -9, 6, 12, 2, 8, -2, 14, 12],
 [7, 2, 17, -18, -15, -15, 7, -15, -10],
 [11, -15, -14, 4, -3, 3, 18, -11, 14],
 [-3, -14, -3, -12, -18, -10, -1, -16, 5],
 [9, -9, -10, -6, 16, 4, -2, -12, -3],
 [17, 1, 5, -14, -13, 9, -14, -17, 2],
 [18, -1, -7, -2, 18, -4, -12, -5, -18],
 [-16, 18, 12, -6, -1, -2, -2, -8, 1],
 [-9, 10, 15, -2, -6, 8, 7, 9, -6]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-7, 9, -17, 18, 15, 4, 10, 16, -8],
 [14, -8, -10, -5, -10, -16, 10, 0, 17],
 [13, -12, 9, -1, -14, 4, 3, 7, -7],
 [0, -18, -16, 8, -1, 11, -17, -14, 10],
 [14, 1, 11, -14, 2, -4, 1, -11, 12],
 [-7, 2, 11, 8, 7, 14, 7, 7, 17],
 [-18, -4, -18, -8, -17, -18, 12, -3, 3],
 [-1, -2, 11, -9, 16, 2, -3, -13, -16],
 [2, -6, -1, 5, 8, -15, 3, 5, -9]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-17, -13, -1, -2, 4, 11, 2, -9, -6],
 [-7, -10, -15, 5, 15, -14, -4, -15, -11],
 [5, 9, 8, -18, 15, -2, 18, 7, 5],
 [2, 11, -6, 18, -16, 13, 16, 0, -5],
 [3, -2, -15, 0, 18, -17, -4, -17, -8],
 [4, -9, -16, -14, -16, -6, 0, 16, 5],
 [5, -2, -9, -17, 4, -13, -17, 2, 16],
 [10, -12, 10, 18, 4, 14, -11, -7, -9],
 [-4, 5, 7, -16, -17, -13, 2, -10, -9]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[17, -16, 5, 3, -5, 8, 14, 3, 10],
 [0, 0, -13, 0, -6, 7, 3, 2, 17],
 [-17, 11, 8, -12, 1, 12, 4, -6, -2],
 [-15, -5, 1, -6, -16, 7, 7, -1, 13],
 [-5, -16, -18, 7, 5, 16, -5, -16, -6],
 [-5, 2, 7, -16, -15, 17, -18, 14, -12],
 [-8, 8, -5, 3, -3, -7, -9, 5, -1],
 [3, -10, -2, -6, 18, -13, 2, 17, -12],
 [17, 6, -8, -5, 10, -9, -14, -11, -14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[5, 7, -13, -3, 17, -7, -8, -16, 18],
 [-13, 0, -1, -3, 4, 18, -10, -16, -11],
 [-15, -7, 12, 6, -3, -5, -6, -12, -7],
 [18, -15, -17, 16, -16, -15, -7, 0, -9],
 [-18, -2, -3, -10, -10, -10, -7, -4, -17],
 [-8, -8, -11, 13, -13, 1, 16, -11, 15],
 [0, -12, 12, -1, -5, 17, -2, 18, -10],
 [1, 9, 1, 17, 8, -11, 13, -18, -2],
 [-10, 1, 13, -17, 13, -10, 11, 1, -18]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-14, 16, 17, -18, -5, -10, 11, 5, -15],
 [-5, 6, -15, 6, -9, 16, -12, -6, -15],
 [17, -5, -1, -11, 13, 8, 18, 4, -12],
 [-7, 6, -16, 7, -15, 17, -4, 13, 10],
 [-9, 2, -3, 0, 10, -1, -3, -18, -17],
 [-4, 9, -18, -14, 3, 17, -6, -18, -3],
 [3, 13, -3, -4, -7, -18, -2, 9, -12],
 [-10, 3, 7, -7, -12, -4, 2, -5, -17],
 [-11, -13, 18, 18, 14, -13, 7, 18, -5]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[18, -11, -6, -6, 9, -1, 0, 13, 3],
 [-17, -6, 4, 6, 9, -8, 14, 5, -17],
 [11, -2, 15, 3, -14, -3, -6, 7, 12],
 [4, -7, -5, -1, 8, 9, -1, -3, -3],
 [-6, 10, -10, 7, 9, -6, 17, -10, -5],
 [-7, 13, -16, -3, 1, 13, 4, -2, -3],
 [-11, 0, 11, 15, -5, 3, -2, -4, 13],
 [-6, 2, 14, 8, 16, -3, 9, 15, -18],
 [12, 17, 14, 14, -1, 4, 4, -4, 7]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[11, 6, -3, -5, -2, -7, 10, 13, 5],
 [-6, 1, -4, -15, 15, 9, -17, 11, 7],
 [7, 1, 9, 1, -8, -9, 4, 18, 0],
 [-1, 8, -13, -9, -17, 5, 9, 9, -17],
 [-14, -8, -9, -17, -4, 18, -12, 1, 15],
 [16, 15, 3, 12, 4, 0, -15, 5, 1],
 [9, -2, 0, 16, 13, 16, 11, -2, 10],
 [-13, -2, -2, -5, 5, 18, 13, 17, 18],
 [-5, 8, 0, 12, -10, -2, 0, -15, -8]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[3, -15, -2, -11, 15, -8, 12, -8, 2],
 [11, -9, 7, 8, -11, -11, -11, 15, -3],
 [-6, 4, -7, 8, 3, 13, 8, -17, 14],
 [7, 9, 0, -14, 14, 1, 11, -11, -2],
 [-18, -16, 7, 12, -11, -11, 16, 9, -15],
 [-3, -6, 1, -14, 18, 1, 5, 17, 15],
 [15, 0, -2, -14, 6, -1, -11, 8, -4],
 [-6, -3, 3, 1, -6, 1, -17, 16, 0],
 [18, -13, -5, -15, 3, 17, 15, 8, -12]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-16, 14, -17, -3, 6, -4, 5, -4, 12],
 [-5, -5, -13, -5, -2, -1, 1, -2, -3],
 [13, -10, 8, 14, -9, -2, 17, -2, -1],
 [4, 15, -11, -6, 4, 1, 3, 4, 16],
 [-16, 15, 14, -2, 0, 11, 4, -4, -5],
 [-17, -1, -13, 13, 2, 9, 8, -17, 14],
 [-3, 3, -6, -17, -5, 9, -12, -1, 17],
 [17, -15, 11, 5, 1, 12, 5, -12, 7],
 [-6, -11, -14, -6, 10, 1, -5, 13, 8]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[6, -15, 2, -1, -4, 5, -11, 9, 2],
 [-3, -3, 16, -2, -10, 16, 10, -1, -7],
 [0, 3, -4, -18, -17, -11, 3, 6, -17],
 [-10, -10, -6, -13, 11, -4, -4, -12, -8],
 [-17, -9, -2, -12, -15, 16, 17, 12, 6],
 [-6, -1, 2, -18, 17, -11, 2, 2, 8],
 [0, 4, 16, -14, -11, -8, -3, 5, 2],
 [4, -11, -12, -17, 11, -6, 4, 10, 18],
 [1, 14, 10, -4, 4, -16, 18, 10, -11]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[3, 10, -17, -18, 1, 2, 18, -11, 8],
 [16, -13, 0, -1, -18, 6, 8, -12, 10],
 [12, 17, 0, -13, 6, 12, -10, 1, -9],
 [18, 8, -6, -17, 2, 14, 5, 15, -10],
 [-17, 11, 3, -8, -2, 17, -6, -12, -3],
 [14, -18, -8, -13, 1, 16, 18, 7, -7],
 [11, 9, 8, 0, -14, -14, 8, 9, 7],
 [8, 2, -18, 9, -4, -2, 7, 1, 6],
 [-6, 14, 6, -11, -14, -13, 4, 11, -5]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[4, -8, 12, -13, -8, -6, -7, -17, 16],
 [17, -2, 9, 9, 3, -12, -4, 13, -8],
 [5, -16, 11, -13, -17, -5, -1, 12, -6],
 [7, -7, -1, -10, 2, 5, 15, -11, 14],
 [4, -6, -5, -5, -3, 7, 7, -18, 13],
 [-4, 2, -1, 11, -6, 5, 11, -17, 0],
 [6, -5, -13, -7, 1, 4, 11, 11, 11],
 [11, 17, 15, -3, 5, -5, 7, -11, -5],
 [12, -17, -15, -18, 1, -5, 6, 6, -16]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-14, 7, -15, -12, 11, 11, 0, 16, 14],
 [14, -5, -9, 9, -5, 17, -3, 2, 9],
 [14, -13, -4, -16, 16, -5, -17, 10, -15],
 [7, -7, -17, -2, 16, -9, 3, 2, -4],
 [16, 2, 2, 2, 13, -14, -10, -1, 2],
 [-11, 15, -9, 5, 5, 13, 14, 15, -8],
 [12, -1, 4, 3, -1, 1, -6, -18, -15],
 [5, 17, 17, -17, 9, 7, 4, -4, 17],
 [8, -13, 16, 16, 17, -9, 11, 10, -15]]

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:
[[-14, -15, 17, -3, 6, -5, -8, 10, 15],
 [3, -5, 5, 7, 17, -3, 13, -13, 15],
 [-11, 11, 8, -12, 8, 6, -4, 6, 3],
 [-1, -7, 4, 6, -9, 11, -9, 15, -6],
 [10, -10, -6, 18, -5, 18, -10, -11, -16],
 [14, 13, -12, 0, 15, -5, 0, 7, -2],
 [9, 0, 8, 0, 14, -12, 10, -14, 11],
 [-11, -7, -6, 7, -1, 1, -3, 18, -16],
 [8, -4, 15, 3, 4, -15, 4, -10, 5]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[2, -3, 6, 7, -10, -4, 14, -18, -14],
 [-10, -13, 9, 7, 9, -4, -13, 8, -15],
 [-8, 2, 11, -1, 16, -16, -7, 8, 11],
 [2, 2, -4, -1, 10, 2, -2, -1, 18],
 [-7, -8, 1, -10, -18, -16, 2, 4, -10],
 [0, 0, 4, 8, 8, 17, -7, 8, 15],
 [14, 9, 12, 13, 1, 16, 12, 12, 3],
 [-10, -10, -4, -6, 3, -3, 13, -17, 7],
 [-5, 15, -11, 17, 2, 9, -13, 1, 12]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[14, -12, -11, -10, -17, -2, 18, -2, 16],
 [11, -13, -15, 18, 16, -10, -13, -6, 3],
 [9, 11, 17, -17, 17, -11, -10, -18, -6],
 [-4, 13, 15, 12, -5, -5, 10, 0, 8],
 [-10, 18, 18, 9, 5, 9, 17, -1, 6],
 [16, -15, -5, 7, -11, 5, -3, 1, -4],
 [-12, -2, 3, 3, -7, -1, -4, 18, -3],
 [-14, -17, 9, 8, 12, 17, -18, 10, -18],
 [-11, -3, 9, 3, -1, 3, -7, 0, 6]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-14, 15, -9, -12, 18, -4, 5, 7, 7],
 [7, -9, -2, -5, -17, -6, 8, -10, -12],
 [-9, -10, 3, 4, -12, -10, 8, 5, 10],
 [-2, 1, -12, -12, 9, 0, 1, -12, -13],
 [6, -6, 3, -2, 3, 15, -11, -1, 5],
 [-17, -17, 8, -5, -7, 13, 9, 9, 6],
 [-15, 7, 17, -16, -18, -2, -12, -14, 0],
 [15, 16, -3, 8, 6, 7, -5, -5, -5],
 [6, 17, -15, -4, 13, -1, -5, -18, 1]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-9, -9, 5, 15, 9, 8, -18, 14, -15],
 [-12, -10, -3, -14, 15, 4, 6, -6, 5],
 [-8, -2, 18, -6, 8, 1, 14, 13, -11],
 [10, 0, -13, 2, 3, -9, -9, 10, -3],
 [-18, -2, 11, 7, 0, 2, -2, 2, 0],
 [-12, -2, -18, 18, -13, 7, -17, 13, -14],
 [18, 12, -7, 16, 11, -13, -4, -4, -3],
 [1, -6, 12, 15, 10, -16, -10, -8, -8],
 [6, 3, -10, 1, 2, -9, 3, 10, -10]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-14, -8, -18, -18, -14, 3, 7, -13, 13],
 [-8, -9, 15, 12, -7, -3, -16, -17, -14],
 [-8, 6, 16, 16, 3, 18, 3, -8, 13],
 [16, 12, -11, 1, 15, -15, -1, -15, 1],
 [-10, -3, 7, 6, -15, 0, -5, 2, -4],
 [-16, 18, -3, -5, -10, -12, -5, -13, 2],
 [-4, -11, 15, -18, 13, -14, 11, 3, 1],
 [-3, -12, -12, -17, -5, 12, -5, -14, -8],
 [-14, 10, -8, -14, 13, 17, -4, 0, 3]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[15, -2, -7, 6, -2, -9, 9, -1, -1],
 [13, -5, -3, -1, -3, -2, -12, -7, 15],
 [-9, -14, 2, -16, 0, 16, -13, -5, -15],
 [-1, 10, 16, -3, 1, 5, 16, 0, -15],
 [14, -17, -6, 11, 15, 11, 5, 14, -9],
 [-1, 0, -12, 0, 5, -4, 4, -15, -15],
 [-14, 4, 18, -8, -8, -6, -5, -11, 6],
 [-1, -1, -9, -12, -5, -4, -3, -17, 11],
 [11, -1, 12, -6, 1, 16, 4, 14, 16]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[17, 1, -16, -11, 13, 10, -12, -17, 2],
 [-13, 9, 17, 13, -10, -8, 4, -8, -17],
 [-16, -8, 16, -4, -8, 12, 9, 9, 13],
 [6, 1, 9, 6, -8, 0, 9, -18, -14],
 [-9, 15, 17, -17, -1, -6, -14, 1, -17],
 [-8, 11, 13, 13, 9, -9, 3, -2, 3],
 [0, -2, 5, 17, 13, 17, 9, -5, 17],
 [-13, -10, 2, -7, 11, 12, -15, 12, 8],
 [6, -14, -13, -14, 8, -11, -10, -4, 17]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-12, 13, -11, -4, 18, 0, -13, 0, 9],
 [-2, 0, 12, -8, -4, -9, 4, -16, -16],
 [-1, 6, 1, 10, 3, -4, -9, 2, 10],
 [13, -9, -6, 4, 4, 12, -15, -16, 2],
 [-17, -15, -18, -4, 14, -13, -12, 0, -18],
 [0, 7, -7, 3, -6, 9, -5, 3, 11],
 [1, 8, 15, 18, -18, -4, 13, -11, 14],
 [-1, 10, 13, 14, -14, -1, -9, 17, 14],
 [4, -14, 15, 5, -2, 12, -12, -2, 9]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[3, -4, 18, -4, 6, 2, -17, 8, 13],
 [2, -15, 0, -17, 7, 15, -5, -4, 1],
 [15, 17, 0, -10, -12, 11, -6, 8, 16],
 [-6, -4, -10, 4, 17, -16, 15, 0, 9],
 [4, -12, -7, -5, -4, -16, -4, 5, -11],
 [-14, -15, -5, -3, 1, 5, -13, 12, -13],
 [16, -4, 10, -16, -8, -16, 9, -9, 14],
 [-3, -9, 14, 17, -16, -14, -7, -6, 5],
 [13, -3, 13, 18, 17, 2, -7, 2, 2]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-13, -10, -18, -7, -5, -13, -18, 3, 15],
 [-8, -16, -13, -13, 1, 2, -17, 7, 12],
 [7, 13, -9, 4, -13, 4, 9, 11, -5],
 [18, 13, 15, 3, 12, -12, 2, -3, 1],
 [0, 13, -4, -14, -8, -4, 10, -15, 17],
 [4, -4, -16, 13, -9, 3, -5, -2, 2],
 [-4, -4, -18, 5, -7, -9, 12, -8, -3],
 [-10, -5, 0, 12, -10, 17, 7, -11, 5],
 [-11, 0, 11, 3, -10, -15, 18, -11, -18]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[9, -13, 17, -8, -14, 5, -1, 1, 9],
 [-6, -14, 11, -18, 3, -1, -14, 12, -13],
 [8, 6, 10, 9, -3, -7, 1, -1, 15],
 [4, 8, -2, 2, 12, -16, -2, 7, 4],
 [-13, 9, -11, -11, 0, 10, 4, 13, -9],
 [8, -18, 10, -16, 18, 12, -8, 3, -1],
 [16, -13, -16, -14, -10, 9, 0, 9, 8],
 [-6, 2, 8, -13, -8, -2, -12, 11, 2],
 [-18, 6, 13, -11, -14, 11, -11, 0, 11]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-4, 17, 8, -6, -5, 18, 11, -6, -3],
 [-12, 8, 16, -4, 9, 16, -12, 1, 13],
 [13, 7, 1, -1, -4, 3, 3, 2, -17],
 [-1, 4, -6, -10, -12, -18, -17, -15, -5],
 [13, 17, -17, -5, 1, 6, -11, 9, 2],
 [4, 13, -11, 12, 18, -3, 8, -1, 16],
 [-4, 8, -2, -17, 12, 18, 15, 15, -16],
 [-2, -5, -5, 16, -18, 10, -15, 14, -2],
 [9, 7, -11, 15, -1, 12, 8, -3, -9]]

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[User]
Calculate the rounded largest singular value from the SVD of:
[[-7, 3, -3, -7, -8, 1, -18, 8, -16],
 [-7, 11, -10, 18, -18, -15, -4, 8, -11],
 [4, -4, 8, 12, -11, 11, -1, -15, 3],
 [-16, -4, 16, 14, -5, -18, 7, -11, -3],
 [-9, 18, 7, 9, -7, 1, -5, 16, 10],
 [-7, -1, -17, -17, -2, -9, -1, 3, 0],
 [-18, 5, 17, 6, 17, 12, 12, -17, 0],
 [-7, -9, 12, 3, 4, 4, -4, 7, -16],
 [4, 1, -11, -1, -13, 8, 17, -4, 18]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-14, -10, -12, 1, -9, 7, -15, 5, -5],
 [-18, -2, 5, 8, -12, -10, 16, -7, 2],
 [-16, -4, 2, -9, 14, -13, -17, 10, 14],
 [-15, -15, 10, 18, 1, 4, -1, 6, -18],
 [-4, 15, 1, 18, 8, 3, -14, 15, -16],
 [-2, 5, 5, -16, -12, 6, -16, -4, 10],
 [10, -9, 13, 4, -10, 18, -5, -15, 1],
 [9, -5, 15, -6, 12, 14, 9, 6, 13],
 [-10, 9, 12, -2, 4, -6, -9, -3, -13]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-8, -16, 9, -4, -6, -2, -12, 9, -6],
 [-2, -4, 17, 9, -4, -8, 12, -15, 16],
 [15, 8, -9, 11, 1, 10, 10, 4, 2],
 [-9, -7, 11, 14, -1, -5, 3, 2, -18],
 [-4, 17, 3, 13, 14, 4, -17, -17, 10],
 [-16, -12, 17, 10, 18, 17, 4, -3, 12],
 [15, -18, -1, -4, -2, -9, 1, -13, -11],
 [15, 13, -15, 1, 5, 5, 7, 6, 17],
 [-12, -9, -7, -18, 6, -3, -14, 0, -15]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-13, 7, -10, -5, -10, -4, 18, 1, -11],
 [13, 2, 0, 10, 12, -13, -15, 10, -16],
 [-18, -4, 2, 12, -12, -2, 0, -16, 11],
 [16, 10, -5, 16, 9, 11, 7, -12, 12],
 [-14, 16, -5, 17, 8, 5, 10, 3, -11],
 [-4, -14, -15, -8, -1, 11, -4, -13, -3],
 [-10, 15, 8, -6, 17, 8, -10, -14, 3],
 [12, -16, 11, 2, 16, -13, 9, 13, 18],
 [6, 13, 16, 3, 5, 11, 13, 12, 4]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[14, 6, 17, 5, 12, -6, -9, 4, -1],
 [13, 14, 17, 9, -3, -3, -1, -11, -3],
 [-8, -13, -18, -7, 9, -2, -18, 13, -11],
 [5, -9, -9, 17, 6, -9, 0, -4, -3],
 [-17, 10, -15, 10, 12, -2, -9, 8, -4],
 [12, 2, 7, 17, -2, -16, -5, -6, 8],
 [-18, -2, 15, -5, -2, -16, 15, 6, -17],
 [15, 7, 12, -10, 11, 1, 2, 10, 6],
 [6, -10, 7, 18, -3, 18, -7, 5, 7]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[1, -10, 4, 10, 12, 0, 1, 4, 8],
 [11, 2, 16, -12, 3, -9, 4, -4, 11],
 [15, -6, -15, -1, 4, 14, 15, 15, 17],
 [16, -2, 9, -5, 15, -8, -6, 14, -17],
 [15, 10, 18, -15, -7, 7, 9, -16, 1],
 [-9, -1, 8, 12, 8, -18, -13, -8, 15],
 [1, 2, 2, -1, 2, 0, -15, -6, -1],
 [10, 6, -6, 8, 0, -18, 0, -18, -2],
 [2, 3, -4, 13, -15, 13, -15, -18, 14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[-12, -10, -18, -3, -1, -13, -17, -10, -15],
 [4, -11, 6, -3, 16, -2, -1, 8, -4],
 [-2, -14, -3, -4, 15, 0, -11, -9, -14],
 [7, 3, 4, -6, -10, 1, 9, 18, 5],
 [14, 1, 11, -10, -2, 17, -5, 0, -12],
 [-16, 14, 13, -8, -17, 7, -15, -2, -2],
 [9, 11, 4, 5, 10, -15, 10, 0, 8],
 [10, 17, 16, -13, 4, -11, -17, -6, 2],
 [12, 17, 8, 17, 4, 2, -6, 18, 7]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-12, 3, 4, 11, -1, -1, -9, 11, 7],
 [-12, -12, -14, -18, -1, -6, 6, -11, -9],
 [13, -2, -4, -4, 1, -4, 16, -13, 11],
 [-11, 12, 13, -4, -1, -6, 5, -5, 9],
 [-8, -13, 6, -18, 6, -17, 13, -6, 14],
 [13, 5, 8, -15, 5, 4, 10, 15, 2],
 [11, 7, 1, -3, -16, 18, 6, 4, -18],
 [14, -4, -2, 15, -2, -15, -6, -15, -12],
 [-10, 4, 14, 14, 1, -15, -18, 15, 8]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[2, 5, -4, 16, 6, -10, -2, 2, -6],
 [-16, -15, -15, 9, -12, 7, -8, 5, -9],
 [18, -6, 0, 0, -7, 3, 18, 11, -7],
 [10, 2, -8, 18, -1, 8, 18, -7, 4],
 [15, 4, 6, -15, 11, 11, -6, -5, -11],
 [5, -1, 16, 6, -2, 13, 5, -12, -6],
 [8, -14, 17, 7, 12, -9, 7, 3, -7],
 [13, 8, 14, 1, -6, -5, 3, -1, 10],
 [-3, 16, 15, -16, -15, -14, -9, 10, 13]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[12, -17, -7, 8, -14, 18, 8, 4, 14],
 [-15, 2, 5, 12, 5, -9, -17, 12, 6],
 [-15, -8, -2, -17, -13, -10, -14, 1, 10],
 [2, -10, 9, -11, 12, 1, 8, -11, 2],
 [9, 4, -13, -16, -14, -10, -12, -15, -14],
 [-8, -4, 15, -6, -12, -13, 11, 3, 6],
 [9, 1, -16, -14, -18, -4, 7, -16, 15],
 [-14, 12, -6, -18, 3, -4, 7, -1, -10],
 [-18, -10, 4, -17, -5, -1, -3, 10, -8]]

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[User]
What is the rounded sum of all singular values in the SVD of the following matrix?
[[-13, -16, -5, -17, 13, 12, -8, 3, -16],
 [12, 14, 5, -18, -4, 18, 8, 8, -7],
 [-16, 11, 13, 4, -17, -12, 15, 13, 13],
 [-5, -16, 13, 17, -2, -16, -9, -1, -16],
 [-9, -10, -8, 14, 17, 7, 8, 3, 7],
 [3, -14, 16, -17, 16, -10, -1, -7, -16],
 [-1, -12, 14, -13, -1, 3, -10, 16, 4],
 [-7, 5, -10, -6, -2, -12, -2, 5, -17],
 [16, 9, 0, 14, 2, -9, -10, -13, 16]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-1, 0, -14, 6, -8, -9, -2, 17, 7],
 [12, 13, 2, -1, -1, -18, -5, -11, -17],
 [-4, 15, 17, -18, 2, -18, 13, 1, 17],
 [11, -12, 3, -9, -11, 8, -9, -5, -8],
 [-13, 2, 14, 0, 5, -1, 16, 18, 0],
 [5, 15, 3, -15, -9, -17, -11, 14, 9],
 [-9, -18, 15, -16, -10, -14, -9, -7, -1],
 [2, 2, -18, -16, -14, 6, -11, -2, -10],
 [13, -13, 2, -12, -12, 8, -11, -10, 9]]

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[User]
What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?
[[-4, -17, -12, -1, 3, -9, 14, -12, -16],
 [-5, 17, -6, -3, -3, -14, 6, 7, -6],
 [7, -18, -11, -15, 2, 3, 18, -16, 0],
 [-18, 10, 4, 14, 4, -14, -12, -13, 3],
 [-6, -7, -15, -11, 18, 12, 18, 7, -11],
 [14, 10, -14, 9, -2, 4, -10, -17, 13],
 [12, -12, 11, -16, -10, -9, 7, -18, 11],
 [-4, 6, -13, -1, -18, -16, -2, -11, -2],
 [6, -7, 10, 6, 17, 6, 10, -8, -15]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-5, -2, -17, -11, 17, -9, -12, 17, -3],
 [-5, -3, 6, -15, 10, -13, -18, -18, -16],
 [-18, -18, 2, 11, 13, 14, 3, 11, -15],
 [4, 6, -7, -2, -4, -9, 16, 10, -7],
 [-18, -18, -9, -1, -17, -11, 3, 3, 7],
 [7, -10, 2, 12, -13, -5, 14, -12, 5],
 [-10, -8, 4, -17, -4, 16, 17, 9, -15],
 [-9, -13, 11, 16, -9, 13, -16, 7, -4],
 [-2, 8, -1, 0, -7, 5, -14, 5, 8]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[11, -4, 15, 8, 1, 13, -15, -14, -11],
 [3, -12, 3, 11, 18, -3, -4, -14, -16],
 [4, -9, -14, 4, -4, -1, 6, -11, 12],
 [2, -17, 3, -11, 4, 13, -11, -15, 11],
 [0, 4, -1, 10, 4, 14, -1, 14, -12],
 [9, -18, 15, 0, 12, -6, 5, -14, 4],
 [0, -18, 14, 14, 13, 9, 18, -7, -10],
 [-8, 14, 0, 15, -12, 12, -17, 0, 13],
 [-9, -11, 7, 11, -8, 1, 1, -10, -11]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-4, 15, 5, 14, 8, 2, -14, 16, 2],
 [-15, -3, 12, 7, 16, -13, 14, 2, -3],
 [15, -4, -13, -17, 5, 9, -18, -18, 9],
 [17, 1, -11, -18, 7, 6, -9, -7, -12],
 [-7, -2, -14, -5, 15, -2, 16, -18, 17],
 [-4, 0, -14, 0, -14, -7, 0, -7, 17],
 [-7, -1, 15, 14, -1, 10, -14, 6, 5],
 [10, 14, -9, 18, 14, 4, -8, 5, 5],
 [-12, 2, 1, -9, 6, 17, -4, -13, 18]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-17, -7, -15, 4, -6, -2, 12, -3, 7],
 [9, -18, -7, 18, 1, -17, 17, -4, 3],
 [13, 1, 17, 14, -4, -16, 10, 8, -14],
 [12, 3, 16, -12, -13, 7, -18, 0, -12],
 [17, -7, 1, 4, 6, 11, 10, 12, -1],
 [0, -15, -18, -4, -11, -4, -4, 3, -1],
 [-3, -17, 17, 1, -3, -16, 11, -17, 16],
 [7, -14, -17, 1, 15, 15, 1, 6, 1],
 [6, -5, -7, -14, -17, -3, 11, 5, 11]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[18, -8, -5, 4, -3, 2, -15, 14, -5],
 [0, -14, 17, 12, -1, 12, 11, 2, 11],
 [-15, -14, -9, 8, -3, 11, -6, 17, 2],
 [-4, 1, 1, -14, 13, -13, 11, 7, 18],
 [-6, 10, -14, 6, -6, 5, 12, 1, -11],
 [-10, 2, 1, -4, 7, -8, 18, -8, 8],
 [11, 0, 15, 4, -18, -16, -16, 9, -5],
 [11, -14, -4, -5, -5, -11, -11, 0, 13],
 [12, 10, -8, -6, 8, 0, 7, 18, -10]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[9, 13, -16, 13, -14, -11, -5, -16, 5],
 [-6, 10, -11, 12, 7, -1, -1, -12, -3],
 [14, -16, -15, 17, -15, -10, -2, -2, 14],
 [1, -5, 3, 8, -16, 5, 11, -11, 3],
 [6, -9, 10, -18, 2, 5, -10, 7, -10],
 [1, 16, 17, 17, -10, 3, -18, -14, -10],
 [18, 0, -11, 13, -6, 1, 17, 18, 11],
 [-9, 12, 6, 10, 5, 2, -10, -17, -15],
 [-11, 13, -5, -6, 2, 5, -1, 7, 13]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[14, 12, -1, 16, -7, 6, 12, -9, 15],
 [-16, -11, 13, 10, 3, 1, -13, 10, -2],
 [12, 15, 18, -15, -17, -7, 16, -13, -11],
 [2, 16, -4, -12, -4, -13, -2, -15, 3],
 [13, 3, 8, -4, 3, 9, -10, 15, 17],
 [-10, -4, 1, -11, 9, 0, -3, -8, -11],
 [14, -9, -1, 16, -16, 8, 9, -13, -5],
 [-12, -9, -4, 12, 10, -2, 10, -4, 7],
 [-7, 6, -14, -15, 12, -16, -16, 7, -2]]

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[User]
Compute the rounded largest singular value from the singular value decomposition of the matrix:
[[-9, -17, 5, -8, 5, 16, 4, 13, 4],
 [15, 0, -17, -17, -4, 2, 16, -14, 8],
 [5, -12, -13, 14, -2, 11, -11, -12, -13],
 [-15, -18, -4, 12, 6, 14, 16, -14, -14],
 [17, -2, -5, 10, -11, 15, -18, 10, 17],
 [18, 10, -14, 13, 5, 0, -7, -18, -12],
 [-2, 15, -12, -2, -16, 10, 3, 10, -14],
 [11, 4, 2, 7, 2, 1, 4, -15, 2],
 [2, -18, -4, -2, -5, 0, 15, -13, -13]]

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[User]
Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:
[[-14, -12, 14, -6, -18, -6, 8, -12, -16],
 [6, 14, -2, -5, 18, 4, 5, 10, 8],
 [4, 12, 17, -2, 18, -16, 17, -14, -4],
 [-13, -9, 13, 4, -2, 1, -4, 3, -13],
 [-15, 4, 0, 12, -16, 9, -16, -5, -1],
 [8, -9, -4, 0, -10, -15, -4, -11, -18],
 [-12, 12, -1, -7, 11, 14, -12, 9, -16],
 [-13, 12, -4, -12, 11, 8, -2, -1, 3],
 [7, 8, 5, -11, 2, 10, 2, -16, 12]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[8, 8, -10, 14, 14, 7, 9, 12, -18],
 [1, -7, -2, -4, 15, -3, -15, -11, 15],
 [6, -4, 9, -10, -17, -2, -9, -10, 12],
 [-17, 5, 0, -2, -9, 9, 9, -18, -16],
 [-4, -9, 2, 18, -4, 4, -5, -4, -9],
 [-10, -14, 6, 7, -11, 3, 6, -7, -10],
 [-9, -9, -10, 7, 16, 8, 12, 0, -13],
 [-4, 10, -14, -5, -17, 4, 0, 5, 1],
 [8, 5, -2, 6, 12, 9, 9, 3, -14]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:
[[-11, 9, -7, 6, -4, 15, -6, -11, -6],
 [17, -13, 13, 2, -12, 7, -4, 4, -4],
 [-3, 13, 18, -1, 1, -17, 4, 11, -16],
 [-18, 3, 10, -5, 9, 2, 13, -13, -18],
 [2, -15, -16, 11, 12, 15, 0, 1, 4],
 [6, -4, 4, -17, -4, 16, -9, -5, 8],
 [-5, 16, 14, -18, 15, 0, 5, -15, 17],
 [-6, 13, -10, -3, -16, 1, -9, 3, -16],
 [-8, 6, -11, -10, -4, 13, -16, -15, 11]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[-6, 2, 0, 3, 1, 18, 12, -9, -1],
 [1, -1, -8, 3, -1, 15, 4, -18, -9],
 [-18, -10, 12, -12, -2, 16, 18, -1, 14],
 [-15, 4, -8, -10, 11, -11, -14, -7, -18],
 [-4, 6, -1, 7, -16, 3, 7, 0, 17],
 [2, 7, -6, 17, 5, 7, 2, -1, -4],
 [-4, -13, 12, 9, -11, 10, 2, -2, 5],
 [17, 12, 15, -17, -16, 11, -11, -12, -7],
 [0, 7, 9, -4, -5, -5, -16, 10, -13]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:
[[4, 9, -5, -5, 1, -6, 8, 16, -17],
 [5, 10, -16, -15, -17, 1, -4, 13, -18],
 [16, -12, -6, -18, -5, 10, -16, 5, -18],
 [-9, -6, 17, -10, -5, 17, -9, 4, 16],
 [-12, 16, -17, -4, -10, -2, -1, -4, -1],
 [5, 4, -7, 4, 2, 7, -11, 11, 15],
 [-17, -14, 12, 14, -15, -13, 4, 0, -11],
 [-6, -18, -13, -12, 8, -4, 15, 4, 5],
 [-4, 16, -15, 18, -2, 12, -9, 8, -13]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-13, -4, -15, -12, 7, 12, -17, 9, -6],
 [-1, 11, -8, -6, 5, 10, -14, 16, 0],
 [-6, -14, -5, 3, -10, 7, -14, 10, 3],
 [-16, 9, -5, -5, -8, -10, -13, -18, 6],
 [-3, -4, 15, -2, -16, -16, 18, -2, -18],
 [-12, 7, 0, 11, -5, -6, 1, 7, 8],
 [6, -10, -7, -9, -13, 15, 0, -13, -17],
 [-4, -2, -3, 9, 2, -11, -9, -9, -9],
 [-10, 9, 5, 0, 14, -15, -16, -7, -1]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[4, 1, -13, 15, -17, 11, -10, 8, 15],
 [5, -2, 10, 17, -7, 12, -10, 0, -2],
 [-17, -14, -3, -2, 8, -12, -11, -11, 4],
 [13, -1, -7, -4, 9, 12, -10, -11, 0],
 [-11, 15, -15, 12, -16, 16, 0, 10, -9],
 [-7, 11, 11, -1, 5, 13, -10, 5, 7],
 [-16, 4, -8, -9, 17, -6, 10, -6, 7],
 [1, -14, 1, -5, -5, -11, -6, 5, -4],
 [-18, 3, 15, -16, 7, -5, -11, -3, 2]]

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[User]
What is the rounded largest singular value in the SVD of the following matrix?
[[-9, 6, 3, -15, -15, 11, -17, 10, 17],
 [2, 2, 2, -15, -18, 7, -17, -10, -1],
 [-8, 6, 7, 17, 16, -16, 16, 3, -11],
 [-4, -12, 0, -2, -18, 10, -6, 10, -13],
 [-14, 15, -8, -10, -10, -11, -16, -6, 0],
 [15, 13, -3, 17, -1, -5, 11, -17, -6],
 [8, -2, 12, -4, 1, -14, -12, -1, -8],
 [13, 8, 7, 18, 9, -17, 1, -15, -6],
 [5, 10, 17, -17, -1, -11, -4, -2, 4]]

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[User]
Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:
[[-17, -13, 10, 8, 18, 15, -1, -9, -2],
 [-6, 8, -17, 15, 12, 4, -12, 14, -7],
 [-7, 0, -10, -9, -2, -9, -7, -4, 12],
 [-4, 9, -15, 17, -18, 15, -2, 14, 2],
 [7, 17, -14, 14, -18, -13, 18, -17, -14],
 [7, -6, -7, -14, -17, -15, 8, -9, -6],
 [-17, 7, -4, -9, 3, 6, -4, -6, -11],
 [2, 2, 3, 14, 8, 3, 11, -10, 16],
 [-1, -14, 8, -13, 13, -11, 2, -1, -5]]

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[User]
Calculate the rounded sum of all singular values from the SVD of:
[[-4, 7, 13, 9, 13, -6, -4, -1, -13],
 [-8, 13, 1, 14, -11, 16, -14, 16, -5],
 [2, 5, -2, -1, 15, -7, -3, -15, 6],
 [15, 9, -8, -6, 12, 6, -9, 5, -18],
 [6, 9, 17, -1, -13, -17, -16, -11, 12],
 [0, -13, -5, -16, -18, 11, 0, 0, -10],
 [-12, 18, -12, -10, -15, 6, -7, -13, -1],
 [2, -4, -16, -17, -15, 13, -17, 10, -17],
 [15, 8, -1, 17, 0, 8, 1, 2, 4]]

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[User]
Calculate the rounded difference between the largest and smallest singular values from the SVD of:
[[11, 6, 12, 8, 15, -11, 0, 7, 9],
 [-15, 12, -3, -9, -9, -10, 17, 17, 0],
 [0, -7, -6, 6, 17, 6, 9, 11, -14],
 [-2, -1, 2, 3, -13, -3, -17, -18, 11],
 [18, 4, -18, 0, -16, -17, 18, -2, 9],
 [-1, 14, -4, 3, 8, 18, 13, 0, 9],
 [9, -9, 1, 6, 2, -5, 3, 7, -8],
 [-12, -2, -1, -12, 1, -8, -3, 8, -8],
 [-3, 4, -7, -16, -17, 5, 10, 15, 1]]

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