messages listlengths 1 1 | ground_truth stringclasses 141 values | dataset stringclasses 1 value |
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[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[9, 2, 10, -2, 10, 0, -2],\n [2, -8, 2, -6, -4, 1, -4],\n [10, 2, 13, -8, -2, 6, -14],\n [-2, -6, -8, -14, 4, 0, -2],\n [10, -4, -2, 4, 18, 0, -6],\n [0, 1, 6, 0, 0, 13, 4],\n [-2, -4, -14, -2, -6, 4, 16]]... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, -12, 17, 12, -13, 10, 8],\n [0, 3, -10, -8, -3, -6, -1],\n [0, 0, -9, 11, -18, 14, -4],\n [0, 0, 0, 15, 0, -17, 1],\n [0, 0, 0, 0, -6, -4, 1],\n [0, 0, 0, 0, 0, 11, 1],\n [0, 0, 0, 0, 0, 0, 11]]\n\nPresent the answer in... | 58 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 6, 6, -2, -7, -8, -9],\n [0, -3, 1, -14, 13, 8, -15],\n [0, 0, 5, -1, -18, -2, 7],\n [0, 0, 0, 2, 14, 11, -11],\n [0, 0, 0, 0, 12, -16, -8],\n [0, 0, 0, 0, 0, 16, -6],\n [0, 0, 0, 0, 0, 0, 5]]\n\... | 49 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[10, 11, 8, 0, -6, -8, 1],\n [11, 7, 6, -4, 10, -2, 3],\n [8, 6, 0, 2, -12, -8, -8],\n [0, -4, 2, -12, -2, 6, -6],\n [-6, 10, -12, -2, -1, -4, -1],\n [-8, -2, -8, 6, -4, 15, -14],\n [1, 3, -8, -6, -1, -14, 10]]\n\nPr... | 115 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[14, -9, -2, -2, 14, -6, 11],\n [-9, 8, 10, 8, 3, -16, 0],\n [-2, 10, 8, 0, 4, -10, -2],\n [-2, 8, 0, -7, -6, 2, 4],\n [14, 3, 4, -6, 2, -9, 8],\n [-6, -16, -10, 2, -9, -17, 2],\n [11, 0, -2, 4, 8, 2, -7]]\n\nPresent the answer in... | 31 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, 5, 8, -2, -4, 2, -10],\n [5, 14, -2, -5, -14, 0, -2],\n [8, -2, 0, 0, 14, -2, 6],\n [-2, -5, 0, -7, 4, -14, 9],\n [-4, -14, 14, 4, -13, 0, -4],\n [2, 0, -2, -14, 0, 15, -14],\n [-10, -2, 6, 9, -... | 128 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-8, 18, -12, 16, 11, -3, -4],\n [0, 9, 18, -16, 10, 18, -10],\n [0, 0, 12, 7, -16, -8, 10],\n [0, 0, 0, 4, -13, -8, 8],\n [0, 0, 0, 0, 2, -8, -16],\n [0, 0, 0, 0, 0, 6, 11],\n [0, 0, 0, 0, 0, 0, 5]]\n\nPresent the answer in LaTe... | 12 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, -14, 1, 4, 6, -2, -12],\n [-14, -6, -1, -2, -1, 14, -2],\n [1, -1, 2, -16, -6, 13, 2],\n [4, -2, -16, 7, 4, -8, 0],\n [6, -1, -6, 4, -16, 2, 9],\n [-2, 14, 13, -8, 2, 15, 0],\n [-12, -2, 2, 0, 9, 0, -4]]\n\nPresent the a... | 120 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 6, 2, 6, -2, -6, 0],\n [6, 2, 4, 6, 12, 2, 2],\n [2, 4, -15, 6, 14, 5, -2],\n [6, 6, 6, -14, -10, -2, 0],\n [-2, 12, 14, -10, -14, 12, -4],\n [-6, 2, 5, -2, 12, -15, 11],\n [0, 2, -2, 0, -4, 11, 1]]\n\nPresent the an... | 38 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -12, -15, 9, 16, 14, -12],\n [0, 15, 15, -6, 10, 16, -9],\n [0, 0, 16, 9, 10, -13, -16],\n [0, 0, 0, 8, 3, -9, 0],\n [0, 0, 0, 0, -9, -2, -9],\n [0, 0, 0, 0, 0, -15, 8],\n [0, 0, 0, 0, 0, 0, 5]]\n\nPresent the answer ... | 16 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, -6, 6, -14, 10, 14, 5],\n [0, 6, -9, -3, 9, -7, 13],\n [0, 0, 7, -16, 7, -18, 16],\n [0, 0, 0, 3, -13, -10, -8],\n [0, 0, 0, 0, 15, 12, 3],\n [0, 0, 0, 0, 0, -4, -11],\n [0, 0, 0, 0, 0, 0, 12]]\n\nPresent the an... | 53 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, -1, 0, 5, 0, 2, -17],\n [-1, -4, 16, -9, -6, 0, -4],\n [0, 16, -14, 14, -2, -2, -12],\n [5, -9, 14, -5, -4, 11, 8],\n [0, -6, -2, -4, 17, 2, -16],\n [2, 0, -2, 11, 2, 16, -10],\n [-17, -4, -12, 8, -16, -10, -3]]\n\n... | 42 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[13, -18, 7, -7, 2, -6, -7],\n [0, -1, 0, 0, -13, -12, -12],\n [0, 0, 0, -3, -2, 3, 0],\n [0, 0, 0, 6, 1, 18, 0],\n [0, 0, 0, 0, -4, -2, 8],\n [0, 0, 0, 0, 0, -12, -6],\n [0, 0, 0, 0, 0, 0, 15]]\n\nPresent the answer in L... | 15 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[17, 6, 10, -6, -6, 6, 4],\n [6, -14, 4, -4, -2, 10, 4],\n [10, 4, 11, -6, 8, 6, 2],\n [-6, -4, -6, -2, 10, 15, 4],\n [-6, -2, 8, 10, -11, 1, -2],\n [6, 10, 6, 15, 1, -4, -4],\n [4, 4, 2, 4, -2, -4, -... | 126 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 10, 14, -6, -14, -2, 4],\n [10, 3, 0, 10, -5, 2, -2],\n [14, 0, 8, -4, -8, 10, 4],\n [-6, 10, -4, 8, 0, 4, 8],\n [-14, -5, -8, 0, -16, 3, -5],\n [-2, 2, 10, 4, 3, 9, -15],\n [4, -2, 4, 8, -5, -15, -15]]\n\nPresent the an... | 134 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 12, 2, -2, -1, 2, 0],\n [12, 1, 0, 8, 1, 4, 3],\n [2, 0, -11, 10, 16, -6, 10],\n [-2, 8, 10, -5, -6, -1, 0],\n [-1, 1, 16, -6, -17, 0, -13],\n [2, 4, -6, -1, 0, 14, 11],\n [0, 3, 10, 0, -13, 11, 2]]\n... | 42 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[15, 4, 8, 2, 6, -8, 4],\n [4, 9, -9, -7, 10, -2, 8],\n [8, -9, 8, -3, -14, -2, -4],\n [2, -7, -3, 7, -2, 0, 2],\n [6, 10, -14, -2, -14, -6, 0],\n [-8, -2, -2, 0, -6, -16, -9],\n [4, 8, -4, 2, 0, -9, 2]]\n\nPresent the answer... | 115 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 1, 0, -4, -6, -10, -10],\n [1, -11, -6, -6, 0, 10, 0],\n [0, -6, 10, 10, 12, 8, 10],\n [-4, -6, 10, -1, -6, 11, -8],\n [-6, 0, 12, -6, 3, -4, -9],\n [-10, 10, 8, 11, -4, 4, -2],\n [-10, 0, 10, -8, -9, -2, 17]]\n\nPre... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[16, -16, 9, -4, -6, 0, -1],\n [0, 18, 2, -14, -2, 0, -15],\n [0, 0, 0, 11, 7, -8, -16],\n [0, 0, 0, 8, 10, -7, -6],\n [0, 0, 0, 0, -17, 4, 17],\n [0, 0, 0, 0, 0, -13, 4],\n [0, 0, 0, 0, 0, 0, 13]]\n\nPresent the answer in L... | 85 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, 0, 14, -6, 0, -2, 1],\n [0, -18, -2, 6, 10, -2, 6],\n [14, -2, -7, -4, 0, 10, -2],\n [-6, 6, -4, 14, 16, 4, 12],\n [0, 10, 0, 16, 7, -6, 11],\n [-2, -2, 10, 4, -6, -16, 4],\n [1, 6, -2, 12, 11, 4, -11]]\n\nPresent the an... | 133 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[15, -6, -8, -9, -7, 4, 6],\n [-6, 4, -12, 10, -6, 10, -16],\n [-8, -12, -13, 4, 13, -4, 5],\n [-9, 10, 4, 15, 12, -6, 10],\n [-7, -6, 13, 12, 11, 4, -8],\n [4, 10, -4, -6, 4, 10, 0],\n [6, -16, 5, 10, -8, 0, 11]]\n\nPresent ... | 149 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 4, -11, 3, -7, 8, -7],\n [4, 2, -14, -6, 8, -3, 8],\n [-11, -14, -9, 10, -2, -4, 4],\n [3, -6, 10, 6, 14, 1, 6],\n [-7, 8, -2, 14, -12, 8, 1],\n [8, -3, -4, 1, 8, -12, 0],\n [-7, 8, 4, 6, 1, 0, -7]]\n\nPresent the answer in ... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, -1, 2, 5, -2, -10, 9],\n [0, -6, 9, -2, -10, 2, 11],\n [0, 0, 17, 6, -12, 1, 16],\n [0, 0, 0, -5, -14, 15, 5],\n [0, 0, 0, 0, 2, 18, 13],\n [0, 0, 0, 0, 0, 12, 7],\n [0, 0, 0, 0, 0, 0, -7]]\n\nPresent the answer in LaT... | 67 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, 10, -10, 4, 10, -9, 2],\n [10, 7, -12, -10, 0, -10, -8],\n [-10, -12, 12, -2, 3, -1, 7],\n [4, -10, -2, -14, 9, 6, -3],\n [10, 0, 3, 9, 10, 6, 15],\n [-9, -10, -1, 6, 6, -17, -2],\n [2, -8, 7, -3... | 133 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-18, -4, 12, 2, -10, -13, -4],\n [-4, 14, 2, 12, 14, 4, -10],\n [12, 2, -1, -9, 2, -2, -3],\n [2, 12, -9, -12, -1, -3, 12],\n [-10, 14, 2, -1, 1, 2, 2],\n [-13, 4, -2, -3, 2, 3, 3],\n [-4, -10, -3, 12, 2, 3, -7]]\n\nPresent ... | 121 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, -17, -18, 9, 16, 15, -15],\n [0, -7, 2, -9, 2, 6, -2],\n [0, 0, 18, -1, 11, -10, -5],\n [0, 0, 0, 13, -7, -3, 3],\n [0, 0, 0, 0, 17, -2, 11],\n [0, 0, 0, 0, 0, 5, -17],\n [0, 0, 0, 0, 0, 0, 3]]\n\nPresent the an... | 67 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-13, -16, -13, -2, 16, 18, 16],\n [0, -11, -12, -9, 7, -9, 0],\n [0, 0, 14, -17, 9, 13, 14],\n [0, 0, 0, -1, -1, -12, -5],\n [0, 0, 0, 0, -4, 7, 5],\n [0, 0, 0, 0, 0, -8, 15],\n [0, 0, 0, 0, 0, 0, 18]]\n\... | 18 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, 1, -4, 4, 0, 1, -13],\n [1, 11, -2, -12, 4, 6, 8],\n [-4, -2, -14, -10, 16, -2, 4],\n [4, -12, -10, -17, 14, 5, 10],\n [0, 4, 16, 14, -17, 7, -5],\n [1, 6, -2, 5, 7, 14, 2],\n [-13, 8, 4, 10, -5, 2, 1]]\n\nPresent t... | 49 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, 11, 12, 3, -4, 18, 9],\n [0, -5, -8, -10, 5, -9, 18],\n [0, 0, -5, -15, 5, 13, -9],\n [0, 0, 0, 6, -12, -1, -1],\n [0, 0, 0, 0, -9, -11, 13],\n [0, 0, 0, 0, 0, 2, -13],\n [0, 0, 0, 0, 0, 0, -2]]\n\nPresent the answer in... | 44 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, -8, -11, 3, 3, 12, -17],\n [-8, 16, -11, 1, 0, -4, 2],\n [-11, -11, -11, 14, 10, 8, 18],\n [3, 1, 14, 6, 14, -4, -4],\n [3, 0, 10, 14, -4, -10, -10],\n [12, -4, 8, -4, -10, 0, 1],\n [-17, 2, 18, -4, -10, 1, 5]]\n\nPresent the... | 38 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-14, 8, -2, 2, 2, -13, -2],\n [8, 15, -5, -7, -12, 8, 8],\n [-2, -5, -13, -3, 14, -6, 0],\n [2, -7, -3, -14, 2, 4, -2],\n [2, -12, 14, 2, 16, 6, -2],\n [-13, 8, -6, 4, 6, 11, -14],\n [-2, 8, 0, -2, -2, -14, 10]]\n\nPrese... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 3, 5, -11, -13, -12, 1],\n [0, 17, -11, -6, 5, 12, 4],\n [0, 0, -9, 12, 1, -3, -5],\n [0, 0, 0, -13, 1, 16, 0],\n [0, 0, 0, 0, 18, -9, 2],\n [0, 0, 0, 0, 0, 11, -15],\n [0, 0, 0, 0, 0, 0, 6]]\n\n... | 83 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, -8, 10, -2, -5, -8, 6],\n [-8, -12, 3, -3, -14, 4, 0],\n [10, 3, -18, -2, -15, 8, 4],\n [-2, -3, -2, 12, 0, 3, 4],\n [-5, -14, -15, 0, -10, -7, -2],\n [-8, 4, 8, 3, -7, -14, 6],\n [6, 0, 4, 4, -2, 6, -1]]\n\nPres... | 124 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-9, 2, 3, -2, -14, -13, -9],\n [0, -12, -15, 18, 0, 9, 1],\n [0, 0, -16, 6, -17, -4, -16],\n [0, 0, 0, 8, -14, -2, -7],\n [0, 0, 0, 0, 11, 3, 13],\n [0, 0, 0, 0, 0, 1, -12],\n [0, 0, 0, 0, 0, 0, 7]]\n\nPresent the answer in LaTe... | 16 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 4, 12, -8, -4, -10, 6],\n [4, 12, -4, 1, 4, -9, -5],\n [12, -4, 18, 11, -2, 8, 2],\n [-8, 1, 11, 13, -4, -10, -8],\n [-4, 4, -2, -4, 7, 2, -2],\n [-10, -9, 8, -10, 2, 6, -8],\n [6, -5, 2, -8, -2, -8, -13]]\n\nPr... | 126 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, 2, 0, -1, 8, 4, -2],\n [2, 10, 14, -4, 12, 6, -4],\n [0, 14, -18, 2, -8, -5, -17],\n [-1, -4, 2, 9, 6, -8, -6],\n [8, 12, -8, 6, 18, -16, 7],\n [4, 6, -5, -8, -16, -18, 3],\n [-2, -4, -17, -6, 7, 3, 3]]\n\nPresent the a... | 140 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, -14, -6, 1, -8, 4, 4],\n [-14, -1, -10, -6, 3, 2, 9],\n [-6, -10, 12, -6, 2, -12, 5],\n [1, -6, -6, -13, -2, -2, -15],\n [-8, 3, 2, -2, 15, 9, 1],\n [4, 2, -12, -2, 9, 16, 11],\n [4, 9, 5, -15, ... | 144 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, -9, -6, 10, 8, 5, 4],\n [-9, -15, 2, 14, -4, 2, 2],\n [-6, 2, -16, -8, 1, 8, -6],\n [10, 14, -8, 7, -12, 9, 7],\n [8, -4, 1, -12, -1, 14, -16],\n [5, 2, 8, 9, 14, -15, 10],\n [4, 2, -6, 7, -16, 10, -16]]\n\nPresent the answe... | 43 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 10, 11, -8, 2, 8, 5],\n [0, 11, -18, -18, -11, 15, -3],\n [0, 0, 0, 10, -16, -8, -11],\n [0, 0, 0, 5, 7, 7, -2],\n [0, 0, 0, 0, -14, 11, 9],\n [0, 0, 0, 0, 0, 14, -13],\n [0, 0, 0, 0, 0, 0, 0]]\n\nPresent the answer in La... | 48 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, 11, -18, 13, 1, 2, 0],\n [0, 9, 13, 11, 4, 8, 18],\n [0, 0, 12, -17, -9, 0, 12],\n [0, 0, 0, -2, 4, -1, -8],\n [0, 0, 0, 0, 9, 16, 2],\n [0, 0, 0, 0, 0, 3, -10],\n [0, 0, 0, 0, 0, 0, 15]]\n\nPresent the answer in LaTex ... | 63 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 13, -3, -18, 15, 4, 1],\n [0, -1, 2, -11, 15, -8, -9],\n [0, 0, 0, -18, -16, 13, -3],\n [0, 0, 0, -3, 14, 6, -1],\n [0, 0, 0, 0, -5, -1, -3],\n [0, 0, 0, 0, 0, -6, -6],\n [0, 0, 0, 0, 0, 0, -15]]\n\nPresent the answer... | 15 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[15, -17, -2, -5, -2, 11, 10],\n [0, -10, 4, 17, -5, 1, -2],\n [0, 0, 11, 8, 8, 12, 7],\n [0, 0, 0, -4, 11, 6, -8],\n [0, 0, 0, 0, -11, 7, -13],\n [0, 0, 0, 0, 0, 15, 4],\n [0, 0, 0, 0, 0, 0, 11]]\n\nPresent the answer in La... | 77 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, 8, 8, 8, -9, -12, 1],\n [8, 12, 0, 4, 3, -14, 3],\n [8, 0, 10, 3, -9, -1, 2],\n [8, 4, 3, -10, 0, 0, 10],\n [-9, 3, -9, 0, 7, -9, 8],\n [-12, -14, -1, 0, -9, -1, -2],\n [1, 3, 2, 10, 8, -2, 16]]\n\nPresent the a... | 115 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[13, 17, 4, -14, -3, 5, 9],\n [0, -12, -12, 3, 3, 8, 14],\n [0, 0, -18, -9, -15, 10, -12],\n [0, 0, 0, 11, 3, -10, 14],\n [0, 0, 0, 0, -4, 0, -3],\n [0, 0, 0, 0, 0, -5, 4],\n [0, 0, 0, 0, 0, 0, 11]]\n\nPresent the an... | 74 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-15, -2, -2, -6, -13, 4, -2],\n [-2, -18, -10, -9, -8, 0, -3],\n [-2, -10, -9, 4, -3, -5, -8],\n [-6, -9, 4, 7, 5, -8, -10],\n [-13, -8, -3, 5, 15, -2, -6],\n [4, 0, -5, -8, -2, -3, -8],\n [-2, -3, -8, -10, -6, -8, 2]]\n... | 34 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 8, 8, 6, -10, 0, -8],\n [8, 1, 6, -14, 2, 14, -2],\n [8, 6, 12, 8, 4, 3, 2],\n [6, -14, 8, -6, -10, -6, -10],\n [-10, 2, 4, -10, 5, -14, 2],\n [0, 14, 3, -6, -14, -17, 4],\n [-8, -2, 2, -10, 2, 4, 15]]\n\nPresent the answer i... | 32 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[6, 3, 7, 8, -10, 18, -14],\n [0, 3, -7, 3, -13, 17, 8],\n [0, 0, -16, -9, 6, 2, -10],\n [0, 0, 0, 14, -7, 10, 2],\n [0, 0, 0, 0, -16, -15, -2],\n [0, 0, 0, 0, 0, 3, -17],\n [0, 0, 0, 0, 0, 0, 15]]\n\... | 73 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, 9, 15, -13, 0, -7, 6],\n [0, -2, -7, -16, 5, -11, 17],\n [0, 0, 13, 13, -18, -16, -18],\n [0, 0, 0, -4, 18, 2, 4],\n [0, 0, 0, 0, 7, 3, 17],\n [0, 0, 0, 0, 0, 8, -15],\n [0, 0, 0, 0, 0, 0, -9]]\n\nPresent the an... | 50 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -9, -9, 17, 2, -5, -11],\n [0, -3, 7, -13, -17, -10, -14],\n [0, 0, -14, -14, -2, -10, 15],\n [0, 0, 0, -4, -18, -12, 4],\n [0, 0, 0, 0, -6, -6, -17],\n [0, 0, 0, 0, 0, 15, -3],\n [0, 0, 0, 0, 0, 0, -... | 15 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, -9, -10, 10, 18, 0, -6],\n [0, 11, -14, 14, 0, 0, -2],\n [0, 0, 18, 3, -3, 16, 8],\n [0, 0, 0, -1, 4, 3, -15],\n [0, 0, 0, 0, 16, 18, 11],\n [0, 0, 0, 0, 0, -16, 5],\n [0, 0, 0, 0, 0, 0, -1]]\n\nPresent the answer in LaT... | 63 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[11, -1, -14, -14, -11, -10, 13],\n [0, -6, -1, -15, 3, 1, -4],\n [0, 0, 15, 11, -14, -18, 12],\n [0, 0, 0, -9, 10, 12, -8],\n [0, 0, 0, 0, 4, 14, 18],\n [0, 0, 0, 0, 0, 6, -6],\n [0, 0, 0, 0, 0, 0, -4]]\n\nPresent the answe... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, 15, -2, -12, 13, 4, 1],\n [0, 2, -7, 8, -9, -11, 2],\n [0, 0, -7, -2, -10, -7, -10],\n [0, 0, 0, 9, -9, 9, 10],\n [0, 0, 0, 0, -1, -15, -4],\n [0, 0, 0, 0, 0, 11, 9],\n [0, 0, 0, 0, 0, 0, 16]]\n\nPre... | 16 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-8, 1, 12, 15, -7, 9, -16],\n [0, -6, -7, -18, 0, 10, 6],\n [0, 0, 9, -14, -18, -16, 5],\n [0, 0, 0, -18, -4, 5, 12],\n [0, 0, 0, 0, 15, 9, -3],\n [0, 0, 0, 0, 0, -15, 18],\n [0, 0, 0, 0, 0, 0, 17]]\n\nPresent the answer in LaTe... | 18 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[10, 2, 0, -4, -2, -5, 8],\n [2, 6, -2, -6, 10, 0, 3],\n [0, -2, 2, -4, 4, 6, 10],\n [-4, -6, -4, -13, 10, -6, -6],\n [-2, 10, 4, 10, 8, -6, -2],\n [-5, 0, 6, -6, -6, -15, -14],\n [8, 3, 10, -6, -2, -14, -5]]\n\nPres... | 108 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[4, -18, 9, 1, -8, -4, 14],\n [-18, 13, -12, -2, 0, 12, -2],\n [9, -12, -4, -8, -1, -1, -1],\n [1, -2, -8, -11, 2, 2, -3],\n [-8, 0, -1, 2, -9, -10, 0],\n [-4, 12, -1, 2, -10, -16, 15],\n [14, -2, -1, -3, 0, 15, -6]]\n\nPresent th... | 37 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, -10, 13, 3, 3, 15, -9],\n [0, -7, -16, 0, 14, 7, -6],\n [0, 0, 3, 1, 4, -5, 11],\n [0, 0, 0, -13, 4, -9, 16],\n [0, 0, 0, 0, -13, -14, -4],\n [0, 0, 0, 0, 0, -2, 5],\n [0, 0, 0, 0, 0, 0, -10]]\n\nPresent the answer in LaTex f... | 13 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-5, -2, 6, 11, 10, 10, -1],\n [0, 0, -2, -13, -7, -16, 16],\n [0, 0, -16, -14, -5, 17, 9],\n [0, 0, 0, -17, 6, 1, -12],\n [0, 0, 0, 0, -11, 8, -17],\n [0, 0, 0, 0, 0, -8, 0],\n [0, 0, 0, 0, 0, 0, 14]... | 71 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -14, 2, -1, -14, -11, 2],\n [0, -6, 0, 10, -17, 18, 7],\n [0, 0, 13, -17, -14, 14, 16],\n [0, 0, 0, -11, -18, 3, -2],\n [0, 0, 0, 0, -16, 11, -8],\n [0, 0, 0, 0, 0, 1, -8],\n [0, 0, 0, 0, 0, 0, -6]]\n\nPresent the answer in L... | 16 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 18, 6, 10, 12, -17, -7],\n [0, 8, 15, -5, -12, 18, 17],\n [0, 0, -3, 2, 14, 10, -2],\n [0, 0, 0, -11, 13, 17, -10],\n [0, 0, 0, 0, -18, -17, -8],\n [0, 0, 0, 0, 0, 10, -17],\n [0, 0, 0, 0, 0, 0, -11]]\n\nPresent the answe... | 67 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 6, -8, 9, 14, 7, -11],\n [0, 13, 9, -12, 16, -17, 3],\n [0, 0, -11, -15, -4, -7, 10],\n [0, 0, 0, 7, 2, 4, -1],\n [0, 0, 0, 0, 0, -2, -17],\n [0, 0, 0, 0, 0, -10, 2],\n [0, 0, 0, 0, 0, 0, -5]]\n\nPresent the ans... | 55 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, -10, 6, -9, 6, 4, -4],\n [-10, 8, -8, 1, 6, 16, 11],\n [6, -8, -10, 2, 12, 10, -4],\n [-9, 1, 2, 5, 4, 10, 10],\n [6, 6, 12, 4, 5, 15, 14],\n [4, 16, 10, 10, 15, -15, 11],\n [-4, 11, -4, 10, 14, 11, -7]]\n\nPre... | 152 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -4, -9, 3, 4, -8, -3],\n [0, -5, -13, -2, 12, -9, 1],\n [0, 0, -17, -15, 5, -1, -8],\n [0, 0, 0, 3, -14, -17, -14],\n [0, 0, 0, 0, 4, 0, 7],\n [0, 0, 0, 0, 0, 5, 4],\n [0, 0, 0, 0, 0, 0, 7]]\n\nPresent the answ... | 57 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-16, -4, 5, 11, 17, 8, 3],\n [0, -12, -3, 5, 11, -18, 8],\n [0, 0, -14, 11, 8, -9, 6],\n [0, 0, 0, 13, -8, -9, 3],\n [0, 0, 0, 0, -5, -3, 9],\n [0, 0, 0, 0, 0, -12, -15],\n [0, 0, 0, 0, 0, 0, 2]]\n\nPresent the answer in La... | 74 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, 8, 14, 4, 10, 2, -5],\n [8, 0, 2, -6, -6, -3, -12],\n [14, 2, -9, -2, -1, 12, 4],\n [4, -6, -2, -7, 10, 3, -4],\n [10, -6, -1, 10, -10, -12, -6],\n [2, -3, 12, 3, -12, 16, -10],\n [-5, -12, 4, -4, -6, -10, 15]]\... | 137 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-17, -4, 5, -10, 0, -6, -6],\n [-4, -9, -2, 6, 7, -10, 4],\n [5, -2, -3, -7, 2, 4, 8],\n [-10, 6, -7, -2, 9, -4, 16],\n [0, 7, 2, 9, -17, -2, -18],\n [-6, -10, 4, -4, -2, -14, 8],\n [-6, 4, 8, 16, -18, 8, 8]]\n\nPre... | 136 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, -8, -1, 8, -9, 17, 2],\n [0, -18, -5, 1, -10, 8, -15],\n [0, 0, 12, -9, -10, 9, 9],\n [0, 0, 0, -11, 4, -14, -12],\n [0, 0, 0, 0, 14, 2, -2],\n [0, 0, 0, 0, 0, -16, 15],\n [0, 0, 0, 0, 0, 0, 6]]\n\nPresent the answer in LaTe... | 18 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -8, 7, -6, 0, 6, 2],\n [-8, -4, 1, -12, 6, -2, 2],\n [7, 1, -9, 5, -2, -16, 5],\n [-6, -12, 5, 0, -11, -12, 3],\n [0, 6, -2, -11, -4, 2, -14],\n [6, -2, -16, -12, 2, 14, -13],\n [2, 2, 5, 3, -14, -13, 7]]\n\nPre... | 120 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -16, -13, -9, -6, -7, 8],\n [0, -14, 17, 11, 18, 10, 3],\n [0, 0, -8, 16, 4, -11, 2],\n [0, 0, 0, 9, 8, 2, -10],\n [0, 0, 0, 0, 17, 9, -9],\n [0, 0, 0, 0, 0, -13, 4],\n [0, 0, 0, 0, 0, 0, -17]]\n\nPresent the a... | 94 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -12, 2, -6, 2, -2, 2],\n [-12, 14, 1, -4, -9, 5, -4],\n [2, 1, -10, -5, 9, 2, -2],\n [-6, -4, -5, 4, 12, 5, 2],\n [2, -9, 9, 12, -11, -2, -5],\n [-2, 5, 2, 5, -2, 9, 10],\n [2, -4, -2, 2, -5, 10, 8]]\n\nPresent the answe... | 108 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, -4, 1, 8, 6, 3, 0],\n [-4, -15, -12, 1, 0, 0, -16],\n [1, -12, -5, 10, -12, 3, 8],\n [8, 1, 10, -5, -8, 5, 6],\n [6, 0, -12, -8, 0, -1, 2],\n [3, 0, 3, 5, -1, 11, 0],\n [0, -16, 8, 6, 2, 0, 3]]\n\nPresent the answer... | 31 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, -2, -2, 14, -12, 9, 2],\n [-2, 13, 6, -10, -1, 3, -12],\n [-2, 6, 9, -4, 0, 0, -2],\n [14, -10, -4, 12, -8, 12, 2],\n [-12, -1, 0, -8, 0, -4, 1],\n [9, 3, 0, 12, -4, -12, -9],\n [2, -12, -2, 2, 1... | 118 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, -4, 4, 4, 10, 4, 1],\n [-4, -6, -2, -4, -5, -10, 5],\n [4, -2, -8, 1, 1, -2, 0],\n [4, -4, 1, -6, 4, -5, -1],\n [10, -5, 1, 4, -13, 11, 17],\n [4, -10, -2, -5, 11, 6, 4],\n [1, 5, 0, -1, 17, 4, -17]]\n\nPresent t... | 100 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, -6, 11, -18, -7, -12, -5],\n [0, 9, -7, 5, -18, -2, 9],\n [0, 0, -13, 2, -15, 14, -9],\n [0, 0, 0, -10, 12, -15, 1],\n [0, 0, 0, 0, 5, 18, 11],\n [0, 0, 0, 0, 0, 5, 9],\n [0, 0, 0, 0, 0, 0, -11]]\n\nPresent the answer ... | 64 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, 10, 1, -6, -6, 17, 6],\n [10, 3, 12, 1, -8, -14, -9],\n [1, 12, 14, -6, -11, 9, 6],\n [-6, 1, -6, -9, -14, -12, -10],\n [-6, -8, -11, -14, 17, -1, 2],\n [17, -14, 9, -12, -1, 4, 0],\n [6, -9, 6, -10, 2, 0, 5]]\n... | 140 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-12, -13, 14, 0, -2, 1, -16],\n [-13, 7, -7, 13, 11, 1, 2],\n [14, -7, -14, 12, -14, -2, -2],\n [0, 13, 12, -10, -12, -4, 1],\n [-2, 11, -14, -12, -4, 4, -2],\n [1, 1, -2, -4, 4, 3, 7],\n [-16, 2, -2, 1, -2, 7, -17]]\n\nPresent ... | 36 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, -10, -6, 9, 4, -6, -12],\n [-10, -15, 1, 6, -12, -5, 2],\n [-6, 1, 16, 2, -9, 12, -8],\n [9, 6, 2, -3, -2, -7, -4],\n [4, -12, -9, -2, 5, 5, -14],\n [-6, -5, 12, -7, 5, 13, -4],\n [-12, 2, -8, -4, -14, -4, 2]]\n\nPresent the ... | 31 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 1, -10, -3, 9, 17, 5],\n [0, -5, 15, 5, -8, 17, -18],\n [0, 0, -10, -16, -3, -15, 7],\n [0, 0, 0, 8, -17, -9, 6],\n [0, 0, 0, 0, -2, -3, -1],\n [0, 0, 0, 0, 0, -4, 10],\n [0, 0, 0, 0, 0, 0, 9]]\n\nPres... | 10 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 6, -6, 10, -3, 9, -8],\n [6, -10, -6, 10, 5, 1, -4],\n [-6, -6, 5, 12, 1, -6, 4],\n [10, 10, 12, -18, 4, -11, 6],\n [-3, 5, 1, 4, 8, 4, 10],\n [9, 1, -6, -11, 4, -4, 8],\n [-8, -4, 4, 6, 10, 8, 8]]\n\nPresent th... | 113 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -4, -2, -10, -6, 13, -17],\n [0, 1, 0, 8, 17, 11, -8],\n [0, 0, 11, -17, 15, 3, 12],\n [0, 0, 0, 7, -1, -4, 15],\n [0, 0, 0, 0, 16, -6, -6],\n [0, 0, 0, 0, 0, -3, 11],\n [0, 0, 0, 0, 0, 0, -4]]\... | 54 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, -2, -16, -16, 9, 12, -11],\n [0, 16, 17, 8, 14, -8, 2],\n [0, 0, 9, -2, -1, -8, 6],\n [0, 0, 0, 18, 8, 7, -6],\n [0, 0, 0, 0, 12, -15, 0],\n [0, 0, 0, 0, 0, 8, 3],\n [0, 0, 0, 0, 0, 0, 3]]\n\nPresent t... | 18 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[14, 3, -15, -6, 4, -6, 1],\n [0, 15, 10, 13, -8, -1, 2],\n [0, 0, -12, 8, -12, -17, 14],\n [0, 0, 0, -7, -6, -16, -11],\n [0, 0, 0, 0, 13, -13, 8],\n [0, 0, 0, 0, 0, -7, 6],\n [0, 0, 0, 0, 0, 0, 11]]\n\nPresent the answer in LaTe... | 15 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, -15, -11, -3, -18, -4, 5],\n [0, -13, -17, -14, 15, 13, 10],\n [0, 0, 12, 5, -4, -7, 1],\n [0, 0, 0, 4, -12, -7, -4],\n [0, 0, 0, 0, -12, 11, -1],\n [0, 0, 0, 0, 0, 10, 15],\n [0, 0, 0, 0, 0, 0, -2]]\n\nPresent the answ... | 67 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, 5, -12, 10, 9, 4, -9],\n [0, 15, 6, -17, -14, -5, 12],\n [0, 0, -10, -13, -2, 16, -7],\n [0, 0, 0, -4, -1, 3, -1],\n [0, 0, 0, 0, -3, 1, 14],\n [0, 0, 0, 0, 0, -11, -2],\n [0, 0, 0, 0, 0, 0, -2]]\n\nPresent the answ... | 15 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, -1, -8, -8, 0, 4, -12],\n [-1, 11, -8, 0, -2, 3, -4],\n [-8, -8, 11, 2, 2, 2, 1],\n [-8, 0, 2, -11, 12, 0, -14],\n [0, -2, 2, 12, 3, 14, -12],\n [4, 3, 2, 0, 14, -8, -12],\n [-12, -4, 1, -14, -12... | 125 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, 5, 6, -10, -16, 5, 2],\n [5, -2, -4, -6, -12, 3, 10],\n [6, -4, 7, 2, 2, 4, 11],\n [-10, -6, 2, -1, -6, 8, 6],\n [-16, -12, 2, -6, -3, 6, -8],\n [5, 3, 4, 8, 6, -7, -6],\n [2, 10, 11, 6, -8, -6, 9]]\n\... | 31 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-16, -4, 0, 16, -4, 13, 6],\n [-4, -17, -8, 0, 0, 12, 6],\n [0, -8, 3, -1, -4, 6, -1],\n [16, 0, -1, 3, 6, 5, -2],\n [-4, 0, -4, 6, 7, -1, 6],\n [13, 12, 6, 5, -1, -16, 13],\n [6, 6, -1, -2, 6, 13, -18]]\n\nPresent the answ... | 123 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, -2, 5, -8, 10, -10, -9],\n [-2, 0, -12, -3, -2, -11, -2],\n [5, -12, 4, -4, 10, -12, 6],\n [-8, -3, -4, -13, -6, -10, -14],\n [10, -2, 10, -6, 10, 7, -2],\n [-10, -11, -12, -10, 7, 1, -14],\n [-9, -2, 6, -14, -2, -14, 4]... | 133 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, -4, -16, 6, -6, 6, 6],\n [-4, 11, 5, -16, 4, 12, 2],\n [-16, 5, 7, -12, 8, 2, 6],\n [6, -16, -12, -2, 10, -1, -1],\n [-6, 4, 8, 10, 1, -8, 4],\n [6, 12, 2, -1, -8, 1, -4],\n [6, 2, 6, -1, 4, -4, ... | 118 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, -6, 8, -6, -4, 7, 1],\n [-6, 1, -10, 8, -5, 0, 2],\n [8, -10, -15, 5, -8, 5, 9],\n [-6, 8, 5, 7, 8, -2, 0],\n [-4, -5, -8, 8, -12, 10, 10],\n [7, 0, 5, -2, 10, 11, -4],\n [1, 2, 9, 0, 10, -4, 1]]\... | 99 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[9, 2, 2, -2, 0, -10, 0],\n [2, 6, -14, 8, 0, -14, 4],\n [2, -14, -8, -13, -7, -2, 0],\n [-2, 8, -13, -3, -6, -5, -4],\n [0, 0, -7, -6, 17, 4, -10],\n [-10, -14, -2, -5, 4, -1, -10],\n [0, 4, 0, -4, -10, -10, -10]]\n\nPresent... | 124 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 1, -12, -15, -9, 2, -5],\n [0, -2, 9, -5, -6, 15, -16],\n [0, 0, 1, -11, -14, -17, 9],\n [0, 0, 0, -18, 17, -17, 7],\n [0, 0, 0, 0, -16, -13, -12],\n [0, 0, 0, 0, 0, -6, 2],\n [0, 0, 0, 0, 0, 0, 17]]\n\nPresent the answ... | 62 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[10, 12, -5, 6, 7, 3, -10],\n [0, 4, 16, 1, 14, 16, 11],\n [0, 0, -18, -4, 6, 1, -12],\n [0, 0, 0, -18, 1, 0, -13],\n [0, 0, 0, 0, 8, -1, -6],\n [0, 0, 0, 0, 0, 8, -2],\n [0, 0, 0, 0, 0, 0, -15]]\n\nPresent the answe... | 81 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, -4, 6, 12, -14, -10, 2],\n [-4, 5, 10, 15, -10, 5, -4],\n [6, 10, -17, -3, 0, 5, -3],\n [12, 15, -3, 12, 14, 3, 1],\n [-14, -10, 0, 14, 17, 0, 0],\n [-10, 5, 5, 3, 0, -9, -14],\n [2, -4, -3, 1, 0, -14, -9]]\n\nPresent... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -12, -10, -6, -2, 10, -2],\n [-12, 18, -2, 6, 2, -8, -4],\n [-10, -2, 3, -2, -8, -10, 0],\n [-6, 6, -2, 18, -8, 10, 15],\n [-2, 2, -8, -8, 12, 12, 1],\n [10, -8, -10, 10, 12, 9, -2],\n [-2, -4, 0, 15, 1, -2, -18... | 142 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, 6, -1, -3, 0, -3, -14],\n [0, -13, 15, -3, 4, 13, 4],\n [0, 0, 10, -11, 10, -1, -14],\n [0, 0, 0, -2, 13, -15, 12],\n [0, 0, 0, 0, 13, 1, -6],\n [0, 0, 0, 0, 0, 7, 4],\n [0, 0, 0, 0, 0, 0, -11]]\n\nPr... | 13 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-3, 2, -8, 5, 17, -1, 4],\n [0, -18, -12, 2, -3, -5, -17],\n [0, 0, -5, -9, 5, 14, 15],\n [0, 0, 0, 15, -15, -13, 3],\n [0, 0, 0, 0, 0, -8, -8],\n [0, 0, 0, 0, 0, 4, -4],\n [0, 0, 0, 0, 0, 0, 16]]\n\nPresent the ans... | 61 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, -14, 18, -15, 1, 3, 5],\n [0, -13, 8, -9, -9, 7, 18],\n [0, 0, 9, 17, 6, 17, -6],\n [0, 0, 0, 9, 17, 11, -10],\n [0, 0, 0, 0, -14, -18, -14],\n [0, 0, 0, 0, 0, -10, -6],\n [0, 0, 0, 0, 0, 0, -3]]\n\nPresent the answer in LaT... | 14 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, -8, 4, -17, 11, 0, -4],\n [0, -14, 3, 8, 16, 0, -12],\n [0, 0, 8, -14, -15, -12, -16],\n [0, 0, 0, 1, -7, 9, 14],\n [0, 0, 0, 0, 0, -5, -2],\n [0, 0, 0, 0, 0, 12, -5],\n [0, 0, 0, 0, 0, 0, -14]]\n\nPresent the answer in ... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, -8, 0, 1, 8, 10, -1],\n [0, 6, 1, -13, 17, -4, -1],\n [0, 0, 3, -7, 14, 10, -17],\n [0, 0, 0, 11, 0, -9, 6],\n [0, 0, 0, 0, -11, -17, -1],\n [0, 0, 0, 0, 0, -17, 17],\n [0, 0, 0, 0, 0, 0, -6]]\n... | 69 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-12, 2, 11, 14, -4, 2, -9],\n [2, -8, 14, -6, 1, 4, -6],\n [11, 14, -6, -11, -6, 5, -7],\n [14, -6, -11, 10, 4, 2, 6],\n [-4, 1, -6, 4, 17, 8, 0],\n [2, 4, 5, 2, 8, -13, -10],\n [-9, -6, -7, 6, 0, -10, 13]]\n\nPresent the answer... | 31 | MATH |
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