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[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 4, -2],\n [4, 7, -6],\n [-2, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, -2, 0],\n [-2, 2, 8],\n [0, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-9, 2, -10],\n [2, 0, 1],\n [-10, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
22
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-1, -6, 6],\n [0, -10, -9],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, 9, -6],\n [9, -8, 0],\n [-6, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
28
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 2, -8],\n [2, 4, -4],\n [-8, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
23
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, 5, 5],\n [0, -2, 1],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 10, 0],\n [0, 9, 4],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 2, 5],\n [2, -6, 5],\n [5, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
22
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, -8, -7],\n [0, -6, 9],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
6
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, 6, 2],\n [6, 3, 0],\n [2, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
21
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, 6, 4],\n [6, 8, -2],\n [4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
24
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, -2, 9],\n [-2, -3, 6],\n [9, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, 2, -8],\n [2, 6, 4],\n [-8, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
24
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, -5, -9],\n [0, -8, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
21
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 0, -10],\n [0, -6, -8],\n [-10, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 6, -2],\n [6, 1, -1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, -6, -2],\n [-6, -3, 7],\n [-2, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
23
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, 9, -4],\n [0, -1, 8],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 3, -5],\n [0, 7, -2],\n [0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
7
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 5, 2],\n [5, 5, 6],\n [2, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
19
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, -6, 2],\n [-6, -1, 4],\n [2, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, -6, -7],\n [0, 7, 9],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
7
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, 6, 6],\n [6, 6, -2],\n [6, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
11
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, 2, 2],\n [2, -9, -7],\n [2, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, -4, -4],\n [-4, 6, -6],\n [-4, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
24
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 6, -4],\n [6, -3, 6],\n [-4, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-1, -3, 0],\n [0, 8, 8],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, -4, 6],\n [0, 3, 10],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 0, 8],\n [0, -4, 4],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
4
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 4, 4],\n [4, -7, -2],\n [4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-2, 2, -2],\n [2, 10, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -3, 3],\n [-3, 6, -2],\n [3, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-3, 3, -2],\n [3, -3, 2],\n [-2, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-7, 1, 0],\n [1, -1, -4],\n [0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 4, -7],\n [4, -2, 8],\n [-7, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-3, 6, -7],\n [6, -4, 0],\n [-7, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
22
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, -4, 2],\n [-4, -4, 9],\n [2, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, -4, 2],\n [-4, -8, 8],\n [2, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 6, -2],\n [6, -5, -5],\n [-2, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
26
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[7, 5, -10],\n [0, 0, 0],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 10, 4],\n [0, -7, -10],\n [0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, -8, -2],\n [-8, 3, -6],\n [-2, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
25
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, -8, 0],\n [0, -7, -6],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, 0, -10],\n [0, -1, 2],\n [-10, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
25
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 6, -2],\n [6, 6, -8],\n [-2, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
29
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 8, -2],\n [8, 0, 9],\n [-2, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
28
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[4, -7, 7],\n [-7, 9, 3],\n [7, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, -5, 5],\n [0, 6, 9],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -3, 6],\n [0, 3, -8],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, -5, -2],\n [-5, -7, -8],\n [-2, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
23
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, -8, -5],\n [0, 8, 7],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
8
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, -2, 6],\n [-2, -9, -8],\n [6, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -6, 0],\n [-6, 8, -2],\n [0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, 8, -10],\n [0, -2, 4],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, -6, -3],\n [-6, 9, 1],\n [-3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
23
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, -1, 10],\n [0, -1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
2
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -2, 4],\n [0, 3, -5],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, -4, 0],\n [-4, -5, 0],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
22
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -8, 4],\n [0, 6, 2],\n [0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, -2, 0],\n [-2, 3, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, 0, -4],\n [0, 7, 4],\n [-4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
27
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, 4, 2],\n [4, -5, -7],\n [2, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 5, -2],\n [5, 5, -6],\n [-2, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 2, 3],\n [2, -2, -2],\n [3, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -2, -6],\n [-2, 5, -4],\n [-6, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
23
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, -1, 4],\n [-1, 10, -4],\n [4, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
20
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, -2, 9],\n [0, 7, 2],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
27
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 4, -2],\n [4, -4, -4],\n [-2, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 0, 2],\n [0, -10, -4],\n [2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
26
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, 2, 5],\n [0, -1, 2],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
8
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-8, -9, -5],\n [0, 8, -6],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
8
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, 6, 4],\n [6, -10, -6],\n [4, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
27
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, 4, 0],\n [4, -1, 0],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
17
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-7, 8, 10],\n [0, 9, -7],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 5, 0],\n [5, -9, -4],\n [0, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
13
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, 2, -3],\n [0, -5, 7],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
5
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, 3, -5],\n [0, 4, -9],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
4
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, 2, 0],\n [2, -2, -4],\n [0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
7
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -1, 6],\n [0, 6, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[2, 1, 9],\n [0, 6, 1],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
6
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, 7, 4],\n [7, 7, 6],\n [4, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
28
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[2, -2, 4],\n [-2, -5, -3],\n [4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, -7, 4],\n [0, -8, -4],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
18
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -8, -1],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
4
MATH
[ { "content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 6, 1],\n [0, -4, -7],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
12
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 6, -4],\n [6, -8, 6],\n [-4, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
15
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, -1, 3],\n [-1, -2, 0],\n [3, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
14
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, -2, 8],\n [0, 9, 7],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 3, 7],\n [3, -1, -2],\n [7, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
11
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[7, -4, -9],\n [0, -4, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
7
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, -7, 0],\n [0, 9, -1],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
10
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 0, 2],\n [0, 1, -2],\n [2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, 9, 5],\n [0, 6, 4],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
9
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, -6, 2],\n [-6, -3, 4],\n [2, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
11
MATH
[ { "content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, -8, -2],\n [-8, 1, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
11
MATH
[ { "content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -1, 0],\n [0, -4, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
8
MATH
[ { "content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, 0, -10],\n [0, 10, 9],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
22
MATH
[ { "content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, -10, 6],\n [0, 4, -10],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
5
MATH
[ { "content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, 6, -1],\n [6, -8, 3],\n [-1, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user" } ]
16
MATH
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