messages listlengths 1 1 | ground_truth stringclasses 141 values | dataset stringclasses 1 value |
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[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 0, -1, 0, 12, 2, -10],\n [0, 1, 2, -2, -1, -9, -12],\n [-1, 2, -9, -3, 13, -2, 6],\n [0, -2, -3, -12, -6, -10, 2],\n [12, -1, 13, -6, 7, -12, 6],\n [2, -9, -2, -10, -12, 7, 7],\n [-10, -12, 6, 2, 6, 7, 4]]\n\nPresent the... | 117 | MATH |
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{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 3, 14, -9, -16, -18, 0],\n [3, 16, -8, 2, 11, -1, -6],\n [14, -8, 11, 0, -7, 2, -11],\n [-9, 2, 0, 6, 4, 17, -16],\n [-16, 11, -7, 4, 10, 0, 2],\n [-18, -1, 2, 17, 0, -14, 6],\n [0, -6, -11, -16,... | 148 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-12, 4, -16, 5, -2, 12, -3],\n [4, 4, 2, 11, -8, 0, 4],\n [-16, 2, 2, -16, -5, -4, 4],\n [5, 11, -16, -13, -3, 3, 16],\n [-2, -8, -5, -3, -12, -6, 2],\n [12, 0, -4, 3, -6, 5, 14],\n [-3, 4, 4, 16, 2, 14, -16]]\n\nPresent the... | 138 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -8, -2, -2, -10, 14, -4],\n [-8, 1, 4, -3, -16, -14, 8],\n [-2, 4, -16, 2, -14, 2, 4],\n [-2, -3, 2, 0, 1, -16, -3],\n [-10, -16, -14, 1, -1, -10, 5],\n [14, -14, 2, -16, -10, 12, 0],\n [-4, 8, 4, -3, 5, 0, 7]]\n\nPresen... | 138 | MATH |
[
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"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, 8, -1, 8, 10, -8, -17],\n [8, 8, 10, -6, 2, 10, -4],\n [-1, 10, -18, -7, -12, -1, -4],\n [8, -6, -7, -11, 6, 2, -6],\n [10, 2, -12, 6, -9, -10, 7],\n [-8, 10, -1, 2, -10, 9, 14],\n [-17, -4, -4, -6, 7, 14, -4]]\n\nPresent... | 140 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 1, -6, -11, -5, -1, 0],\n [1, -11, -4, 1, -1, 0, -2],\n [-6, -4, 7, 13, 4, 10, -2],\n [-11, 1, 13, -14, 2, -7, 10],\n [-5, -1, 4, 2, 5, -8, 0],\n [-1, 0, 10, -7, -8, -11, -1],\n [0, -2, -2, 10, 0, -1, -6]]\n\nPresent the... | 94 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, -13, 13, 2, -12, 7, -4],\n [0, -4, -3, 13, 18, -1, 1],\n [0, 0, 11, -16, -18, 3, 10],\n [0, 0, 0, 13, -13, -18, 2],\n [0, 0, 0, 0, 15, 0, 1],\n [0, 0, 0, 0, 0, -4, 16],\n [0, 0, 0, 0, 0, 0, -18]]\n\nPresent the answer in LaTe... | 18 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[15, -5, -2, -15, 18, -2, 2],\n [-5, -3, -5, 6, 2, 1, -2],\n [-2, -5, -11, -8, -6, 14, -14],\n [-15, 6, -8, 2, 0, 4, 0],\n [18, 2, -6, 0, 1, -10, 4],\n [-2, 1, 14, 4, -10, -9, 0],\n [2, -2, -14, 0, 4,... | 117 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, -14, -6, -7, -7, 4, 0],\n [-14, -7, -8, 6, -4, 2, -2],\n [-6, -8, 7, 2, 14, 10, -2],\n [-7, 6, 2, 7, 6, 6, -6],\n [-7, -4, 14, 6, -11, 12, 1],\n [4, 2, 10, 6, 12, -17, -4],\n [0, -2, -2, -6, 1, -4, 9]]\n\nPresent the ans... | 126 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 2, -11, -10, 2, 2, -4],\n [2, -5, 0, 7, 2, -1, 16],\n [-11, 0, 10, -17, -16, -11, -8],\n [-10, 7, -17, 16, -4, 6, -11],\n [2, 2, -16, -4, -18, -9, -8],\n [2, -1, -11, 6, -9, 4, 7],\n [-4, 16, -8, -11, -8, 7, -1]]\n\nPresent t... | 40 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, 3, 10, -7, -1, -2, 4],\n [3, -11, -2, 1, -10, -3, 12],\n [10, -2, -13, -4, 8, -12, -12],\n [-7, 1, -4, 8, -10, 1, 6],\n [-1, -10, 8, -10, 18, -3, 3],\n [-2, -3, -12, 1, -3, -15, -6],\n [4, 12, -12, 6, 3, -6, 11]]\n\n... | 32 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -6, 8, 0, -8, 12, 4],\n [-6, -14, -1, -5, -13, 4, -4],\n [8, -1, -16, -4, -10, 3, -9],\n [0, -5, -4, 6, 8, -4, 4],\n [-8, -13, -10, 8, -2, -12, -10],\n [12, 4, 3, -4, -12, 1, -3],\n [4, -4, -9, 4... | 126 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -13, -17, -4, -2, -3, 9],\n [0, -11, -9, -9, -9, -10, 9],\n [0, 0, 14, -15, -16, -7, -1],\n [0, 0, 0, 15, -17, 11, -10],\n [0, 0, 0, 0, 10, 17, -7],\n [0, 0, 0, 0, 0, -14, -3],\n [0, 0, 0, 0, 0, 0... | 77 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, -7, -4, 9, 12, -10, -11],\n [0, -11, 15, -15, 12, -16, 16],\n [0, 0, -9, -7, 11, 11, -1],\n [0, 0, 0, 5, 7, -16, 4],\n [0, 0, 0, 0, 10, -6, 7],\n [0, 0, 0, 0, 0, -11, -6],\n [0, 0, 0, 0, 0, 0, 7]]\n\nPresent the answer in LaT... | 11 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, -11, -3, 2, -9, 6, 3],\n [0, -15, 11, -17, 10, 17, 2],\n [0, 0, -15, -18, 7, -17, -10],\n [0, 0, 0, 7, 17, 16, -16],\n [0, 0, 0, 0, -12, 0, -2],\n [0, 0, 0, 0, 0, -14, 15],\n [0, 0, 0, 0, 0, 0, 0]]\n\... | 15 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, -2, -8, 18, 4, 0, 5],\n [-2, -6, -2, 4, 14, -10, -4],\n [-8, -2, -1, -12, -2, -2, 2],\n [18, 4, -12, 1, -8, 2, 0],\n [4, 14, -2, -8, -11, 2, 3],\n [0, -10, -2, 2, 2, 18, -1],\n [5, -4, 2, 0, 3, -1, 15]]\n\nPrese... | 121 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, 4, -12, 14, -7, -7, 0],\n [0, -9, -2, -9, -7, -4, 12],\n [0, 0, -15, 17, -18, 15, -2],\n [0, 0, 0, 17, -14, 14, -18],\n [0, 0, 0, 0, 7, -6, -7],\n [0, 0, 0, 0, 0, -6, -17],\n [0, 0, 0, 0, 0, 0, -... | 72 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, 6, 8, 8, 3, 12, -2],\n [6, -10, 2, 4, 0, 2, -8],\n [8, 2, 2, 6, -2, -1, -4],\n [8, 4, 6, -6, 5, 2, -4],\n [3, 0, -2, 5, -11, 7, 0],\n [12, 2, -1, 2, 7, -1, 12],\n [-2, -8, -4, -4, 0, 12, -8]]\n\nPresent the ans... | 104 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 12, 6, -9, 5, -18, 6],\n [0, 17, -1, -13, -17, -16, -11],\n [0, 0, -13, -5, -16, -18, 11],\n [0, 0, 0, -12, 18, -12, -10],\n [0, 0, 0, 0, -1, 2, -4],\n [0, 0, 0, 0, 0, 10, -17],\n [0, 0, 0, 0, 0,... | 60 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, 4, 11, 6, 12, 8, 15],\n [0, 0, 7, 9, -15, 12, -3],\n [0, 0, -10, 17, 17, 0, 0],\n [0, 0, 0, 17, 6, 9, 11],\n [0, 0, 0, 0, 3, -13, -3],\n [0, 0, 0, 0, 0, -18, 0],\n [0, 0, 0, 0, 0, 0, 14]]\n\nPresent the answer in LaTex format... | 18 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, 3, 8, 18, 13, 0, 9],\n [0, -9, 1, 6, 2, -5, 3],\n [0, 0, -12, -2, -1, -12, 1],\n [0, 0, 0, -8, -3, 4, -7],\n [0, 0, 0, 0, 15, 1, -1],\n [0, 0, 0, 0, 0, 15, -8],\n [0, 0, 0, 0, 0, 0, 4]]\n\nPresent the answer in LaTex fo... | 67 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, 1, -13, -8, 16, -15, 10],\n [0, 10, -18, -11, -2, 0, 14],\n [0, 0, 2, -16, -17, 16, -3],\n [0, 0, 0, -7, 14, 1, 2],\n [0, 0, 0, 0, -12, -11, 7],\n [0, 0, 0, 0, 0, -16, 2],\n [0, 0, 0, 0, 0, 0, 7]]\n\nPresent the answer in La... | 18 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, -6, -2, 14, -10, 2, -4],\n [-6, 15, -4, 4, -2, 2, -4],\n [-2, -4, 13, 14, -9, -8, 4],\n [14, 4, 14, 4, 12, 0, -2],\n [-10, -2, -9, 12, 7, -4, 0],\n [2, 2, -8, 0, -4, -10, -10],\n [-4, -4, 4, -2, 0, -10, -10]]\n\nPresent the a... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, -12, -6, -8, 14, 2, -6],\n [-12, -14, -7, 8, 1, -10, 3],\n [-6, -7, 9, 6, 1, 12, -2],\n [-8, 8, 6, -4, 0, -8, 4],\n [14, 1, 1, 0, -17, 4, 8],\n [2, -10, 12, -8, 4, -10, -2],\n [-6, 3, -2, 4, 8, -2... | 136 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[17, 4, 12, 3, 14, -10, 0],\n [4, 6, 10, 6, -1, -6, -8],\n [12, 10, -17, 2, 2, 4, 15],\n [3, 6, 2, 13, 2, 4, -4],\n [14, -1, 2, 2, 15, -7, 12],\n [-10, -6, 4, 4, -7, 15, -8],\n [0, -8, 15, -4, 12, -8,... | 123 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -6, 0, 1, -3, -2, 10],\n [-6, -2, 2, 10, -8, 7, 5],\n [0, 2, 5, -10, 5, 11, 8],\n [1, 10, -10, 2, 0, 9, -2],\n [-3, -8, 5, 0, -6, -4, -16],\n [-2, 7, 11, 9, -4, -7, -14],\n [10, 5, 8, -2, -16, -14, -3]]\n\nPres... | 126 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, 5, -3, 12, 8, -10, -4],\n [5, 13, 10, 16, 2, 8, -1],\n [-3, 10, 2, -6, 8, 11, 18],\n [12, 16, -6, -2, -6, -4, 6],\n [8, 2, 8, -6, -16, -4, 4],\n [-10, 8, 11, -4, -4, -12, -12],\n [-4, -1, 18, 6, 4, -12, 2]]\n\nPresent the ans... | 34 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, 1, 14, 16, 15, 17, 8],\n [0, -14, 10, -9, -6, 10, -14],\n [0, 0, 3, -4, -6, -18, -18],\n [0, 0, 0, -13, 9, 12, -11],\n [0, 0, 0, 0, 1, -5, -5],\n [0, 0, 0, 0, 0, 17, 15],\n [0, 0, 0, 0, 0, 0, 10]]\n\nPresent the answer ... | 72 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-14, 6, -2, 12, 10, 0, -4],\n [6, 0, -16, -2, -16, 7, 16],\n [-2, -16, -2, -4, 4, 10, -8],\n [12, -2, -4, 13, 8, 8, -4],\n [10, -16, 4, 8, -3, 2, -12],\n [0, 7, 10, 8, 2, -6, 14],\n [-4, 16, -8, -4, -12, ... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, -5, -6, 13, -12, -11, -12],\n [0, 12, 8, 14, 10, -11, 14],\n [0, 0, 2, 6, 4, -8, 14],\n [0, 0, 0, -7, 13, 14, -9],\n [0, 0, 0, 0, -14, -14, -1],\n [0, 0, 0, 0, 0, -1, 7],\n [0, 0, 0, 0, 0, 0, 2]]\n\nPresent the answer i... | 39 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-11, 6, 10, 10, 9, 2, -12],\n [6, -12, -8, -7, -12, -2, -2],\n [10, -8, 17, -14, -6, -16, 6],\n [10, -7, -14, -7, -2, -1, 6],\n [9, -12, -6, -2, -6, -2, 14],\n [2, -2, -16, -1, -2, -5, 4],\n [-12, -2, 6, 6, 14, 4, -14]]\n\nPrese... | 49 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 4, -2, -2, -4, 4, -6],\n [4, 14, 0, -15, 9, -8, -9],\n [-2, 0, 18, 5, 10, 8, -6],\n [-2, -15, 5, -15, 8, 1, 16],\n [-4, 9, 10, 8, -12, -4, -16],\n [4, -8, 8, 1, -4, 0, -8],\n [-6, -9, -6, 16, -16, -8, 2]]\n\nPresent the... | 143 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, 0, -2, 12, -8, -8, -8],\n [0, 11, -4, 5, -2, -4, -2],\n [-2, -4, -6, -8, 4, 2, -12],\n [12, 5, -8, -8, -12, -11, -6],\n [-8, -2, 4, -12, -5, -10, -11],\n [-8, -4, 2, -11, -10, -13, 3],\n [-8, -2, -12, -6, -11, 3, 9]]\n\nPresen... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, 4, 4, -8, 0, 6, -5],\n [4, -17, 16, 8, 2, 8, 2],\n [4, 16, 7, 2, 6, 0, 12],\n [-8, 8, 2, 3, 2, 6, 6],\n [0, 2, 6, 2, 11, 10, 2],\n [6, 8, 0, 6, 10, -13, -12],\n [-5, 2, 12, 6, 2, -12, -3]]\n\nPresent t... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, 0, 4, -3, -5, -4, 3],\n [0, -15, -4, -10, 4, -10, 10],\n [4, -4, 15, 8, -2, 4, 0],\n [-3, -10, 8, -14, -5, 4, 6],\n [-5, 4, -2, -5, -6, 8, 12],\n [-4, -10, 4, 4, 8, -12, 12],\n [3, 10, 0, 6, 12, 12, 7]]\n\nPresen... | 119 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, 16, 16, -7, 14, 17, -5],\n [0, 5, -4, 12, -2, -7, 3],\n [0, 0, -5, -7, -15, -6, -1],\n [0, 0, 0, 0, 1, 6, -8],\n [0, 0, 0, 0, -16, 15, 3],\n [0, 0, 0, 0, 0, -17, -10],\n [0, 0, 0, 0, 0, 0, -7]]\n\nPresent the an... | 67 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, -5, 4, -4, -7, -16, 4],\n [-5, -12, -8, -1, 14, 10, 12],\n [4, -8, -13, 4, -5, 0, -4],\n [-4, -1, 4, 4, -4, 3, -5],\n [-7, 14, -5, -4, -6, -11, -7],\n [-16, 10, 0, 3, -11, -18, 0],\n [4, 12, -4, -5, -7, 0, -12]]\n\nPre... | 122 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 14, 2, -2, 3, 0, 6],\n [14, -9, -10, 0, -2, 8, -4],\n [2, -10, -17, 3, 5, -10, 0],\n [-2, 0, 3, -7, -3, 12, -6],\n [3, -2, 5, -3, -8, -2, -3],\n [0, 8, -10, 12, -2, 15, 8],\n [6, -4, 0, -6, -3, ... | 117 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 8, -2, -4, -17, -12, 4],\n [8, -11, 12, -4, 6, 9, 9],\n [-2, 12, 5, -5, 0, 15, 14],\n [-4, -4, -5, -12, -2, 14, 6],\n [-17, 6, 0, -2, -7, 7, -8],\n [-12, 9, 15, 14, 7, 13, 5],\n [4, 9, 14, 6, -8, 5, 1]]\n\nPresen... | 142 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, -10, 0, -12, -14, 5, -12],\n [0, -10, 11, -16, 3, 1, 13],\n [0, 0, 1, 6, 16, 5, -6],\n [0, 0, 0, -18, -2, -17, -13],\n [0, 0, 0, 0, -3, -7, 10],\n [0, 0, 0, 0, 0, 3, -9],\n [0, 0, 0, 0, 0, 0, 2]]\n\nPresent the ... | 55 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, 2, 5, 9, -6, -7, 0],\n [2, 11, 9, 7, 4, -13, -4],\n [5, 9, -16, -10, -5, 8, -1],\n [9, 7, -10, -13, -3, -3, -1],\n [-6, 4, -5, -3, -10, -6, 4],\n [-7, -13, 8, -3, -6, 11, 8],\n [0, -4, -1, -1, 4, 8, 3]]\n\nPresen... | 107 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -8, 16, 6, -14, -10, 14],\n [-8, -4, 16, 7, 0, -5, 2],\n [16, 16, 4, 9, 12, 8, 2],\n [6, 7, 9, 15, 4, 5, -14],\n [-14, 0, 12, 4, 0, 12, 2],\n [-10, -5, 8, 5, 12, -18, -14],\n [14, 2, 2, -14, 2, -14, -11]]\n\nPresent the answe... | 40 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, 6, -8, -8, -12, -2, 14],\n [6, -8, -6, -6, -2, 10, 18],\n [-8, -6, -6, -7, -12, -2, -10],\n [-8, -6, -7, -12, 6, -5, 2],\n [-12, -2, -12, 6, -10, -10, 12],\n [-2, 10, -2, -5, -10, 15, -10],\n [14, 18, -10, 2, 12, -10,... | 41 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[13, -7, 15, -14, 3, -3, -7],\n [-7, -13, 2, 1, 8, 4, 10],\n [15, 2, -7, 0, -9, -1, -13],\n [-14, 1, 0, 10, 8, 3, -13],\n [3, 8, -9, 8, -1, 8, -7],\n [-3, 4, -1, 3, 8, -2, 2],\n [-7, 10, -13, -13, -7, 2, 9]]\n\nPresent th... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 16, -4, -11, 1, 2, -18],\n [0, 5, 11, 16, 14, 1, -3],\n [0, 0, -2, 12, 4, -13, 11],\n [0, 0, 0, -7, 8, -7, -6],\n [0, 0, 0, 0, 10, 12, -6],\n [0, 0, 0, 0, 0, 9, -4],\n [0, 0, 0, 0, 0, 0, 4]]\n\nPresen... | 10 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -5, -2, 5, 15, 3, -9],\n [0, 2, 18, -12, 7, -6, -3],\n [0, 0, -14, 13, -3, -10, 3],\n [0, 0, 0, 1, -4, 7, -10],\n [0, 0, 0, 0, -9, 14, -3],\n [0, 0, 0, 0, 0, -1, 9],\n [0, 0, 0, 0, 0, 0, 4]]\n\nPresent the answer in L... | 14 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, -6, -9, 4, 0, -8, -7],\n [-6, -12, -4, -4, 4, 8, -1],\n [-9, -4, -7, -14, -2, -14, 0],\n [4, -4, -14, 13, -12, -10, -6],\n [0, 4, -2, -12, -18, -13, 7],\n [-8, 8, -14, -10, -13, -11, 1],\n [-7, -1, 0, -6, 7, 1, 15]]\n... | 42 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, -14, 10, 15, -3, 6, 18],\n [0, 10, 6, 4, 15, -16, 11],\n [0, 0, 10, -10, -17, -12, -14],\n [0, 0, 0, -1, -3, 2, -9],\n [0, 0, 0, 0, 11, -2, -4],\n [0, 0, 0, 0, 0, 4, -6],\n [0, 0, 0, 0, 0, 0, -6]]\n\nP... | 11 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, 0, -12, 17, -4, -4, -12],\n [0, 9, 2, -4, -16, -6, -14],\n [-12, 2, -16, 16, 2, -4, -14],\n [17, -4, 16, -7, -2, -4, 0],\n [-4, -16, 2, -2, 4, 8, -8],\n [-4, -6, -4, -4, 8, 4, 8],\n [-12, -14, -14, 0, -8, 8, -6]]\n\nPres... | 131 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -2, -2, 18, 6, 7, -4],\n [-2, -5, -6, 0, 10, 13, -4],\n [-2, -6, 9, -4, -4, -8, -8],\n [18, 0, -4, 7, -4, 1, -14],\n [6, 10, -4, -4, 17, -11, 8],\n [7, 13, -8, 1, -11, -17, -1],\n [-4, -4, -8, -14, 8, -1, -3]]\n\nPresent the... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, -16, 2, -11, 3, -14, -2],\n [0, -5, 9, 12, -2, 16, 3],\n [0, 0, -1, 16, -3, -12, 11],\n [0, 0, 0, -2, 2, 7, 9],\n [0, 0, 0, 0, 1, -9, -7],\n [0, 0, 0, 0, 0, -10, -4],\n [0, 0, 0, 0, 0, 0, -7]]\n\nPresent the ans... | 44 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[16, 6, -8, -12, 0, 8, 16],\n [6, 11, 4, 4, -6, -10, -6],\n [-8, 4, 5, 4, -1, 8, 3],\n [-12, 4, 4, 14, -14, 4, 2],\n [0, -6, -1, -14, 10, 2, 5],\n [8, -10, 8, 4, 2, -6, -5],\n [16, -6, 3, 2, 5, -5, 2]]\n\nPresent the answer i... | 118 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 6, 11, -2, -8, -3, -1],\n [6, 6, -3, -4, -16, -2, -12],\n [11, -3, 17, -8, -3, -8, 2],\n [-2, -4, -8, -3, 9, 10, -1],\n [-8, -16, -3, 9, 11, -2, 6],\n [-3, -2, -8, 10, -2, 0, -10],\n [-1, -12, 2,... | 123 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-13, -7, -4, 10, 14, 4, 8],\n [-7, -2, 2, 0, 0, -4, 3],\n [-4, 2, 18, -7, 12, -6, -2],\n [10, 0, -7, -15, 10, 1, -10],\n [14, 0, 12, 10, -12, 2, 14],\n [4, -4, -6, 1, 2, -18, 6],\n [8, 3, -2, -10, 14, 6, 9]]\n\nPresent the answe... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 5, 4, 11, 0, -6, 6],\n [5, -16, 4, 4, 9, -2, -3],\n [4, 4, 17, -10, -2, 4, 0],\n [11, 4, -10, 4, 6, -2, 2],\n [0, 9, -2, 6, -13, -14, 12],\n [-6, -2, 4, -2, -14, -14, -10],\n [6, -3, 0, 2, 12, -10, 5]]\n\nPresent... | 126 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[14, 2, -8, -12, 2, 6, -16],\n [2, 16, -6, 2, -6, -2, -2],\n [-8, -6, 17, -7, 1, 4, -4],\n [-12, 2, -7, -12, -8, -14, -2],\n [2, -6, 1, -8, 9, 6, 1],\n [6, -2, 4, -14, 6, 14, -10],\n [-16, -2, -4, -2,... | 127 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 2, 11, -7, -5, 12, 8],\n [2, 5, -6, 9, -6, 2, -6],\n [11, -6, -16, 0, -6, -1, 16],\n [-7, 9, 0, 5, 0, 8, 0],\n [-5, -6, -6, 0, 8, -10, 4],\n [12, 2, -1, 8, -10, 10, -1],\n [8, -6, 16, 0, 4, -1, -2]]\n\nPresent the answer in L... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, 3, 8, 0, 12, -10, -5],\n [3, -10, 8, -6, -8, -1, -4],\n [8, 8, 16, 14, -8, 10, 13],\n [0, -6, 14, -11, -10, -8, 10],\n [12, -8, -8, -10, -17, 6, -8],\n [-10, -1, 10, -8, 6, -14, -6],\n [-5, -4, 13, 10, -8, -6, 7]]\n\nPr... | 137 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, -5, -18, -2, 14, 10, 12],\n [0, 11, -6, -3, -17, -1, 16],\n [0, 0, -15, 0, 6, 12, 17],\n [0, 0, 0, -14, 4, 17, 13],\n [0, 0, 0, 0, -12, -2, -17],\n [0, 0, 0, 0, 0, 11, -8],\n [0, 0, 0, 0, 0, 0, 4... | 74 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, -15, 12, 10, 17, -6, -10],\n [0, -16, 6, 6, -7, 10, -8],\n [0, 0, -5, -3, -9, 12, 12],\n [0, 0, 0, 1, -10, -4, -10],\n [0, 0, 0, 0, 1, -5, 3],\n [0, 0, 0, 0, 0, 13, 1],\n [0, 0, 0, 0, 0, 0, -14]]\n\nPresent the answer in LaT... | 16 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[15, -3, 12, -10, -4, 3, 0],\n [-3, -2, 6, 16, 5, -3, 10],\n [12, 6, 15, -3, 1, -4, -3],\n [-10, 16, -3, 1, 6, 1, -6],\n [-4, 5, 1, 6, -5, 3, 9],\n [3, -3, -4, 1, 3, -4, 2],\n [0, 10, -3, -6, 9, 2, 17]]\n\nPresent the answer... | 114 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, -9, 2, 15, 12, 10, -8],\n [0, -18, 2, 4, -10, -18, 2],\n [0, 0, -18, -9, -4, 17, 10],\n [0, 0, 0, 6, -3, -3, 17],\n [0, 0, 0, 0, -14, 17, 10],\n [0, 0, 0, 0, 0, 14, -3],\n [0, 0, 0, 0, 0, 0, -5]]\n\nPresent the answer in LaT... | 18 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, -8, 6, 9, -12, 17, -9],\n [0, 12, 0, -1, -13, 9, -12],\n [0, 0, 6, -2, 14, 4, -10],\n [0, 0, 0, -16, -3, 6, 5],\n [0, 0, 0, 0, -15, -5, -12],\n [0, 0, 0, 0, 0, 5, 13],\n [0, 0, 0, 0, 0, 0, 4]]\n\nPresent the answer in LaT... | 63 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -16, -8, 0, -8, 0, 12],\n [-16, -14, 4, 0, -4, 12, -6],\n [-8, 4, 14, -8, -6, 8, -2],\n [0, 0, -8, 14, 8, 12, -10],\n [-8, -4, -6, 8, -7, -3, 10],\n [0, 12, 8, 12, -3, -1, 1],\n [12, -6, -2, -10, 10, ... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, -5, -6, -6, 4, -7, -3],\n [-5, -8, 10, 2, -2, -12, 0],\n [-6, 10, 11, -12, -1, 2, -10],\n [-6, 2, -12, -1, 2, 2, 2],\n [4, -2, -1, 2, -15, 4, -4],\n [-7, -12, 2, 2, 4, 2, -8],\n [-3, 0, -10, 2, -4, -8, 1]]\n\nPresent the... | 114 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[15, 12, -14, -2, -1, -4, -2],\n [12, -9, 2, 4, 2, 4, -13],\n [-14, 2, 12, -9, -4, 2, -14],\n [-2, 4, -9, 7, 12, -12, -4],\n [-1, 2, -4, 12, -9, -1, -12],\n [-4, 4, 2, -12, -1, -11, 1],\n [-2, -13, -14, -4, -12, 1, 6]]\n\nPresent... | 32 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 12, 12, -2, 0, -16, 11],\n [0, 10, -1, -7, 4, -8, -10],\n [0, 0, 6, -10, -7, -8, 9],\n [0, 0, 0, 17, -10, -11, -16],\n [0, 0, 0, 0, 9, -4, 0],\n [0, 0, 0, 0, 0, 18, -8],\n [0, 0, 0, 0, 0, 0, 3]]\n\nPresent the answer in LaTe... | 18 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-9, -4, 12, 7, 2, -6, -3],\n [-4, -10, 2, -10, 6, -4, 5],\n [12, 2, -4, 0, -10, -5, -6],\n [7, -10, 0, 10, -2, -6, 0],\n [2, 6, -10, -2, -9, -1, -6],\n [-6, -4, -5, -6, -1, 4, 0],\n [-3, 5, -6, 0, -6, 0, -7]]\n\nPresent the ... | 92 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 0, -10, 9, -5, 8, -1],\n [0, 14, 18, 6, -6, 4, 17],\n [0, 0, 15, 17, -2, -9, 4],\n [0, 0, 0, -17, 0, -3, 6],\n [0, 0, 0, 0, 11, -9, 0],\n [0, 0, 0, 0, 0, 2, 10],\n [0, 0, 0, 0, 0, 0, -9]]\n\nPresent the answer in LaTex forma... | 17 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, 9, 17, -9, 16, 16, 18],\n [0, -6, -8, 0, 9, -15, 18],\n [0, 0, -5, 12, 9, 17, 0],\n [0, 0, 0, -15, -1, 6, -1],\n [0, 0, 0, 0, 16, -18, -14],\n [0, 0, 0, 0, 0, -15, 10],\n [0, 0, 0, 0, 0, 0, -1]]\n\nPresent the answer in LaTex... | 16 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 1, 12, 11, -3, -17, -2],\n [0, -12, -10, -2, -10, -10, 18],\n [0, 0, -11, 6, -17, -9, 5],\n [0, 0, 0, -8, -13, -13, 13],\n [0, 0, 0, 0, -16, 15, -7],\n [0, 0, 0, 0, 0, -1, 8],\n [0, 0, 0, 0, 0, 0, -18]]\n\nPresen... | 72 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, 4, 0, -12, 0, -4, 10],\n [4, -15, -2, -5, -4, 14, -2],\n [0, -2, 15, -6, 0, -3, 0],\n [-12, -5, -6, -16, 12, 10, 2],\n [0, -4, 0, 12, -9, -4, 14],\n [-4, 14, -3, 10, -4, -9, 10],\n [10, -2, 0, 2, 14, 10, 2]]\n\nPresent... | 128 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, -4, 16, 0, -4, 0, 14],\n [-4, -11, -12, -6, -8, 4, 2],\n [16, -12, -3, -7, 0, -9, 8],\n [0, -6, -7, -5, 0, 5, -12],\n [-4, -8, 0, 0, 14, 0, -4],\n [0, 4, -9, 5, 0, 3, 0],\n [14, 2, 8, -12, -4, 0, 8]]\n\nPresent the ans... | 120 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, 14, 10, 0, -10, -5, 3],\n [14, -2, -6, -6, -12, 6, 14],\n [10, -6, -11, -13, 4, 8, 4],\n [0, -6, -13, 3, -4, 0, 6],\n [-10, -12, 4, -4, 3, 0, 0],\n [-5, 6, 8, 0, 0, 14, 4],\n [3, 14, 4, 6, 0, 4, 15]]\n\nPresent the a... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, 4, -14, 17, 5, 17, -14],\n [0, 17, -15, -9, -18, 2, 18],\n [0, 0, 8, -2, 4, -6, 8],\n [0, 0, 0, -16, -9, -18, -6],\n [0, 0, 0, 0, 12, -15, 15],\n [0, 0, 0, 0, 0, 11, 0],\n [0, 0, 0, 0, 0, 0, -13]]... | 82 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, -12, -4, -6, 4, 10, 5],\n [-12, -9, -2, 8, -3, 10, -5],\n [-4, -2, -2, -2, 2, -8, -2],\n [-6, 8, -2, 8, 16, 9, 10],\n [4, -3, 2, 16, -14, 7, 14],\n [10, 10, -8, 9, 7, 7, 4],\n [5, -5, -2, 10, 14, 4, -1]]\n\nPresent the ... | 130 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -3, -4, 16, -1, 6, 7],\n [-3, 9, -14, 0, -2, -15, 10],\n [-4, -14, 5, 12, 1, 2, 2],\n [16, 0, 12, -9, 12, 4, 12],\n [-1, -2, 1, 12, -16, 6, 2],\n [6, -15, 2, 4, 6, 9, 2],\n [7, 10, 2, 12, 2, 2, ... | 139 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, -7, 14, 9, -16, -1, 7],\n [0, -15, 9, 9, 6, 7, -17],\n [0, 0, 2, 18, 4, 14, -17],\n [0, 0, 0, -3, 1, 7, -3],\n [0, 0, 0, 0, -13, 18, 3],\n [0, 0, 0, 0, 0, 4, -6],\n [0, 0, 0, 0, 0, 0, -5]]\n\nPresent ... | 15 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, -6, 4, 7, 6, 2, 6],\n [-6, -16, -17, -16, 12, -14, -16],\n [4, -17, -15, 12, -18, 4, 2],\n [7, -16, 12, 3, 2, 12, 10],\n [6, 12, -18, 2, 6, -8, 5],\n [2, -14, 4, 12, -8, 6, -6],\n [6, -16, 2, 10, 5, -6, 17]]\n\nPresent ... | 163 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[9, 12, -7, 6, -5, 6, 0],\n [12, 15, 3, -4, 0, -12, 5],\n [-7, 3, 0, -6, 4, 12, -4],\n [6, -4, -6, -1, -14, -18, -4],\n [-5, 0, 4, -14, -7, 12, 4],\n [6, -12, 12, -18, 12, 15, -6],\n [0, 5, -4, -4, 4, -6, ... | 42 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-17, -8, 18, 6, 2, 17, -10],\n [0, -9, -14, 14, -14, -3, 18],\n [0, 0, -1, 10, -13, -1, 13],\n [0, 0, 0, 9, 8, 0, 8],\n [0, 0, 0, 0, -4, 11, -18],\n [0, 0, 0, 0, 0, -11, 17],\n [0, 0, 0, 0, 0, 0, 4]]\n\nPresent the answer in LaT... | 17 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 10, -2, 6, -10, -4, -10],\n [10, 15, 2, 10, -3, -2, 2],\n [-2, 2, -9, 14, 2, 10, 0],\n [6, 10, 14, -2, 4, 6, -4],\n [-10, -3, 2, 4, 11, -5, 0],\n [-4, -2, 10, 6, -5, -1, 2],\n [-10, 2, 0, -4, 0, 2, -6]]\n\nPresent the an... | 115 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, 6, -15, 13, -4, 7, -8],\n [0, -8, -17, 8, 7, -11, 2],\n [0, 0, -18, -6, -10, 9, -13],\n [0, 0, 0, -10, -7, 3, -7],\n [0, 0, 0, 0, 15, -11, -9],\n [0, 0, 0, 0, 0, -15, -17],\n [0, 0, 0, 0, 0, 0, -12]]\n\nPresent the an... | 18 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-17, 4, -12, 0, 0, 2, -1],\n [4, -11, -4, 1, -16, -1, -5],\n [-12, -4, -13, -4, 8, -2, -3],\n [0, 1, -4, 15, -5, 6, 3],\n [0, -16, 8, -5, 3, -2, -10],\n [2, -1, -2, 6, -2, 17, 10],\n [-1, -5, -3, 3, -10, 10, -14]]\n\nPre... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[18, 3, -4, 8, 7, -10, 12],\n [3, 2, 2, 0, 3, -8, -6],\n [-4, 2, 18, 1, -6, -9, -5],\n [8, 0, 1, -2, 9, 4, -3],\n [7, 3, -6, 9, 13, 6, 6],\n [-10, -8, -9, 4, 6, -5, 13],\n [12, -6, -5, -3, 6, 13, -8]]\n\nP... | 35 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[17, -8, 0, -4, 11, 4, 8],\n [-8, 13, 0, -3, 16, -14, 2],\n [0, 0, 4, 8, 6, 7, 16],\n [-4, -3, 8, 11, 8, 4, 4],\n [11, 16, 6, 8, 17, -14, -14],\n [4, -14, 7, 4, -14, 17, 10],\n [8, 2, 16, 4, -14, 10, -14]]\n\nPresent the ... | 48 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, -10, -18, -5, 4, 9, -6],\n [-10, 5, -16, 2, -4, -8, 2],\n [-18, -16, 3, 12, 11, 16, 2],\n [-5, 2, 12, 11, 0, 1, 3],\n [4, -4, 11, 0, -17, 8, 2],\n [9, -8, 16, 1, 8, 1, 0],\n [-6, 2, 2, 3, 2, 0, 14... | 136 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -10, -14, -10, 1, 5, -1],\n [-10, -14, -13, 0, -3, -5, -10],\n [-14, -13, 8, -2, 0, 9, 8],\n [-10, 0, -2, 2, 2, 8, 18],\n [1, -3, 0, 2, 12, -5, -10],\n [5, -5, 9, 8, -5, -6, 8],\n [-1, -10, 8, 18... | 136 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 4, 1, -11, 6, 0, -6],\n [4, 17, -12, -6, 10, 10, -11],\n [1, -12, -4, -4, 9, -7, -2],\n [-11, -6, -4, 18, -2, 2, -6],\n [6, 10, 9, -2, -4, -15, 4],\n [0, 10, -7, 2, -15, -4, 11],\n [-6, -11, -2, ... | 132 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, -16, 18, -16, -14, 9, -5],\n [0, -11, 18, -11, -7, -4, 0],\n [0, 0, -12, 11, -1, 5, -13],\n [0, 0, 0, 7, -8, 10, 1],\n [0, 0, 0, 0, 17, -7, 4],\n [0, 0, 0, 0, 0, 6, -2],\n [0, 0, 0, 0, 0, 0, -1]]\n\nPresent the answer in LaTe... | 17 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, -8, 8, -5, -6, 5, 6],\n [-8, -18, -2, 8, 6, 5, 6],\n [8, -2, -13, -13, 8, -15, 4],\n [-5, 8, -13, -12, 5, -4, 2],\n [-6, 6, 8, 5, 18, 8, -2],\n [5, 5, -15, -4, 8, -4, -6],\n [6, 6, 4, 2, -2, -6, ... | 135 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, 5, -8, 0, -8, -8, 4],\n [5, 3, -2, 15, -2, 4, 8],\n [-8, -2, 5, -5, -12, 2, -4],\n [0, 15, -5, 6, 8, -9, 14],\n [-8, -2, -12, 8, -13, -16, 6],\n [-8, 4, 2, -9, -16, 12, 7],\n [4, 8, -4, 14, 6, 7, 17]]\... | 39 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[16, 0, 2, 14, 4, -13, 13],\n [0, -16, 16, -3, 6, -2, -6],\n [0, 0, -9, 5, 5, 14, -2],\n [0, 0, 0, -3, 9, 13, 7],\n [0, 0, 0, 0, -16, -7, 6],\n [0, 0, 0, 0, 0, -2, 11],\n [0, 0, 0, 0, 0, 0, -15]]\n\nPresent the answer in LaTe... | 77 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, 6, 9, 3, 6, -2, -7],\n [0, 18, -3, -2, 12, -4, -6],\n [0, 0, -17, -11, -12, -9, -15],\n [0, 0, 0, -1, 5, 13, 15],\n [0, 0, 0, 0, -4, -7, -2],\n [0, 0, 0, 0, 0, -3, 13],\n [0, 0, 0, 0, 0, 0, 14]]\n\nPre... | 18 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, -8, 4, -10, -4, 6, -9],\n [-8, -2, 9, 0, 12, 6, -6],\n [4, 9, 5, 0, 12, -2, -9],\n [-10, 0, 0, 17, -12, 0, -16],\n [-4, 12, 12, -12, -9, 16, -8],\n [6, 6, -2, 0, 16, 11, 15],\n [-9, -6, -9, -16, -8, 15, 13]]\n\nPresent ... | 148 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -8, 3, 17, 4, 7, 12],\n [0, -14, 6, 15, -7, 3, -10],\n [0, 0, 10, 8, -2, -14, -6],\n [0, 0, 0, -17, 4, -6, -15],\n [0, 0, 0, 0, -10, -13, -9],\n [0, 0, 0, 0, 0, -3, 13],\n [0, 0, 0, 0, 0, 0, -18]]\n\nPresent the answer in LaT... | 18 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, 15, -15, -16, -9, 9, 15],\n [0, 17, -16, 4, -2, -12, 7],\n [0, 0, 12, 10, -10, 16, -2],\n [0, 0, 0, -9, 11, 10, -9],\n [0, 0, 0, 0, -18, -2, 17],\n [0, 0, 0, 0, 0, -11, -13],\n [0, 0, 0, 0, 0, 0, ... | 69 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, 16, -4, -6, -6, -5, -6],\n [16, -11, -6, 2, 0, 4, -2],\n [-4, -6, 7, 2, 13, 1, -4],\n [-6, 2, 2, 18, -7, -10, -16],\n [-6, 0, 13, -7, -5, 8, 0],\n [-5, 4, 1, -10, 8, -2, 6],\n [-6, -2, -4, -16, 0, 6, 14]]\n\nPresent the... | 125 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 14, -2, -8, -6, 6, 0],\n [14, -1, 0, 11, 6, 8, 8],\n [-2, 0, -17, 4, 4, 10, 0],\n [-8, 11, 4, 1, 8, -6, -2],\n [-6, 6, 4, 8, -12, -6, -10],\n [6, 8, 10, -6, -6, 1, 6],\n [0, 8, 0, -2, -10, 6, -11]]\n\nPresent the ans... | 31 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, -1, 6, 3, 16, 10, 2],\n [0, -7, 17, 5, 13, 8, 13],\n [0, 0, 7, -8, -1, -14, -3],\n [0, 0, 0, 4, 15, -2, -9],\n [0, 0, 0, 0, 5, -16, -17],\n [0, 0, 0, 0, 0, 12, 15],\n [0, 0, 0, 0, 0, 0, 18]]\n\nPresent the answer in LaTe... | 61 | MATH |
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