messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[13, 12, 2, -11, -11, 22, -4, 8, 8, 20],\n [12, 29, 22, -14, 4, 2, 18, 1, 0, 22],\n [2, 22, -8, 4, 14, 6, -3, 6, -6, -3],\n [-11, -14, 4, -14, 12, -10, -18, -11, 8, 10],\n [-11, 4, 14, 12, -11, 24, -2, -4, -4, -6],\n... | 364 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-17, 12, 14, 12, 13, 12, 14, 6, 20, -24],\n [12, -25, 20, -20, -26, 20, 6, 10, -7, -4],\n [14, 20, -8, 4, 0, 16, 8, -18, -12, -20],\n [12, -20, 4, 16, -18, 8, -14, -12, -6, -4],\n [13, -26, 0, -18, 4, 16, 14, -20, -... | 415 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 14, -27, 7, -6, -26, -1, -19, -27, -7],\n [0, -22, -27, 20, -7, -17, -26, -13, 11, 26],\n [0, 0, -13, -14, -1, -7, -20, 4, -8, -14],\n [0, 0, 0, 29, -22, -16, -3, -7, 29, 30],\n [0, 0, 0, 0, 14, -19, -11, -30, -10, 18... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-19, -29, 12, -17, -9, 0, -8, 17, -11, 30],\n [0, 24, -27, -16, -7, -6, -30, -24, 26, 0],\n [0, 0, -26, 13, 19, 11, 7, 29, -19, 8],\n [0, 0, 0, -16, -1, 13, 27, -14, -27, -24],\n [0, 0, 0, 0, 28, 24, 8, 24, 3, -25],\n [0, 0, 0, ... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[28, 2, -16, 0, 21, -2, 17, 21, 13, 7],\n [2, 25, -6, -12, 10, -5, -24, -6, -22, -8],\n [-16, -6, -14, 13, 16, 13, 3, -10, -6, -20],\n [0, -12, 13, -29, -4, -10, 19, 4, -2, 8],\n [21, 10, 16, -4, 4, 20, 18... | 83 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, -14, 14, -20, -25, 30, -8, -4, 15, -25],\n [0, -29, -9, -11, -6, -16, 29, 18, -2, -23],\n [0, 0, 21, 2, -9, 19, 16, -26, 8, -13],\n [0, 0, 0, 6, -1, 20, 0, -21, -16, 11],\n [0, 0, 0, 0, -8, 2, -15, 23, 7, 4],\n [0, 0,... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 14, 4, 4, -8, 16, -23, -14, 9, -7],\n [14, 0, -12, 2, -29, 10, 10, -23, 8, -3],\n [4, -12, 4, -12, 2, -6, 2, -23, -12, 4],\n [4, 2, -12, 20, 0, 2, 22, 29, 2, 0],\n [-8, -29, 2, 0, 7, 23, -5, -18, 2, 4],\n [16, 10, -6... | 67 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 14, 0, -5, 7, 8, -13, 8, 1, -18],\n [14, -11, -20, 25, 6, -2, -2, 26, 4, 20],\n [0, -20, -1, 0, -2, -4, 8, 0, 13, -20],\n [-5, 25, 0, -9, -8, -13, 4, -10, -4, 6],\n [7, 6, -2, -8, 0, -11, -2, -2, 24, 2],\n [8, -2, -4, -... | 341 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, -20, -6, -2, 20, 4, -11, -27, -6, 28],\n [-20, 22, 7, 4, -8, -8, 13, -5, -6, 24],\n [-6, 7, -9, 5, 0, 4, -4, -18, -9, -8],\n [-2, 4, 5, 5, -16, -8, 2, 15, 2, 18],\n [20, -8, 0, -16, 26, 4, -14, -12, 3,... | 75 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-15, 27, -12, -30, -26, 20, -9, -7, 12, 14],\n [0, 6, 22, 5, 5, -27, 5, 21, 22, -13],\n [0, 0, 10, -13, -9, -29, -10, 5, 13, 8],\n [0, 0, 0, 23, -5, -10, -14, -15, 29, 0],\n [0, 0, 0, 0, 18, 6, -29, 21, 17, 15],\n [... | 131 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 0, 18, 18, -12, -2, 12, -4, 5, 17],\n [0, 18, 10, 8, -1, -10, 6, -23, 15, -4],\n [18, 10, 14, -4, -5, 14, -6, 18, 15, 10],\n [18, 8, -4, -27, 18, -22, -10, 5, 10, 8],\n [-12, -1, -5, 18, -26, 11, -16, 2, 14, -4],\n ... | 72 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 12, -3, -8, 26, 16, -10, -4, -16, -5],\n [12, -7, 14, -2, 20, 12, 14, 10, 6, -22],\n [-3, 14, -29, -2, 4, -4, -5, -12, -14, -2],\n [-8, -2, -2, 13, -16, -2, 12, 2, -2, -2],\n [26, 20, 4, -16, 3, 3, 2, -17, -3, -14],\n [1... | 286 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, -13, 19, 22, -1, -5, -15, -18, 8, 2],\n [0, 17, -30, 18, 7, -29, 18, -25, 15, 19],\n [0, 0, -7, -13, -4, 10, -23, -3, -21, -14],\n [0, 0, 0, -25, -17, -9, 23, -25, -5, 8],\n [0, 0, 0, 0, 20, -8, 17, -24, 9, 19],\n [0, 0,... | 184 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-29, 6, 14, -15, 17, -7, 4, -9, 5, -20],\n [0, 27, 15, -2, 4, 17, 23, -16, 29, 0],\n [0, 0, 12, -15, -21, 18, 1, 20, -29, -7],\n [0, 0, 0, 0, 20, 9, -5, -2, -28, 27],\n [0, 0, 0, 0, 22, -28, 23, -5, -13, ... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-20, -1, 16, -2, 2, -4, -6, 12, -18, 18],\n [-1, -10, 8, -27, 24, 20, 0, 10, 3, 29],\n [16, 8, 19, -2, -4, 21, 12, -12, -4, 6],\n [-2, -27, -2, -30, 12, -2, -8, -15, -3, 18],\n [2, 24, -4, 12, -19, -14, -... | 84 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 4, -12, 7, 2, 8, -18, -16, -10, -20],\n [4, 24, 2, -6, -6, 5, -4, 11, 16, -8],\n [-12, 2, 2, -4, 2, -14, -18, 28, -4, -2],\n [7, -6, -4, -11, 0, -12, 0, 4, 14, -22],\n [2, -6, 2, 0, 8, 2, -17, -2, 10, -3],\n [8, 5, -14, -12, ... | 57 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, -4, 6, 2, -7, -2, -18, 8, 4, 22],\n [-4, 6, 1, 12, 13, 6, -8, 10, -10, 0],\n [6, 1, 23, -12, 6, 2, 11, -4, 13, -4],\n [2, 12, -12, -14, -12, 19, 1, 10, 18, 6],\n [-7, 13, 6, -12, 28, 2, 12, -12, 14, -3],\n [-2, 6, 2,... | 62 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 22, -28, 4, -11, 12, -1, 6, -18, 22],\n [22, -17, 22, -4, 12, -1, -5, -20, 6, -13],\n [-28, 22, 8, -16, 8, 0, -4, 11, -4, -18],\n [4, -4, -16, -12, 0, -2, -5, 0, 2, 4],\n [-11, 12, 8, 0, -26, -18, 0, -23, -5, -18],\n... | 74 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, 11, 10, -14, -22, 0, 16, 5, -10, -18],\n [11, -19, 3, -2, -15, 12, 13, -15, 10, -9],\n [10, 3, -9, -1, 0, 8, -10, -6, -7, 29],\n [-14, -2, -1, -3, -1, 2, 16, 15, 1, -1],\n [-22, -15, 0, -1, -26, 4, 18,... | 87 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, 16, -20, -6, -6, 6, 18, 4, -2, 1],\n [16, -6, 4, -2, 2, -22, -19, -8, -2, -22],\n [-20, 4, -12, -2, 6, 3, 11, -8, -10, 0],\n [-6, -2, -2, -9, -26, 11, 16, -8, 3, 20],\n [-6, 2, 6, -26, 12, 0, 19, -8, 4, 26],\n [6, -22, ... | 309 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, 14, 1, 13, 21, -10, -20, 12, -25, 10],\n [14, 4, 10, 0, -2, 2, 2, 14, 13, -6],\n [1, 10, 1, -9, -6, 1, -10, 6, 7, -3],\n [13, 0, -9, -22, -10, 22, 6, -10, -18, 6],\n [21, -2, -6, -10, -25, 1, 19, 17, 4, -22],\n [-10, 2, 1, 2... | 73 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, 19, 11, 24, 10, -12, 0, 2, 0, 12],\n [19, 17, 0, 3, -20, -4, -12, 10, -16, 10],\n [11, 0, -6, 11, 10, 5, -24, -8, 10, 8],\n [24, 3, 11, -4, -19, -5, 3, -22, -1, -17],\n [10, -20, 10, -19, -8, -4, 6, 16, -8, -6],\n [-12, -4, 5... | 71 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, 19, -11, -15, -14, -15, -12, 25, 25, -23],\n [0, 7, 22, -2, 10, 5, -5, 0, 13, 29],\n [0, 0, -14, -16, -22, 8, 11, 17, -19, 1],\n [0, 0, 0, -16, 1, -25, 27, 13, 12, 21],\n [0, 0, 0, 0, 23, 26, -26, -13, -15, -23],\n [0, 0... | 126 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[15, 25, -24, 23, -6, 30, -28, 28, 7, -11],\n [0, 18, 13, 13, -1, -14, 28, -21, 4, -11],\n [0, 0, 13, -4, 28, 28, 18, 5, -8, 1],\n [0, 0, 0, -25, 28, 10, 16, 3, 5, 6],\n [0, 0, 0, 0, -19, -10, 9, -12, -28, -13],\n [0, 0, ... | 27 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-12, -4, 4, 7, 0, -4, 14, -12, -14, -12],\n [-4, 0, 3, -16, -14, -20, -8, -7, 4, -12],\n [4, 3, -27, -15, 4, -27, 24, -22, 7, -16],\n [7, -16, -15, 13, 4, 0, 1, 14, -17, 3],\n [0, -14, 4, 4, -7, -14, 18, -15, -27, 20],\n [-4, -20... | 74 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, -17, 19, 4, -20, 21, -8, -14, -19, 5],\n [-17, 21, -10, -16, 12, 1, -2, 4, -12, 8],\n [19, -10, 2, 4, -2, -6, 1, -6, 20, -17],\n [4, -16, 4, -11, -9, 0, -2, 2, -1, 3],\n [-20, 12, -2, -9, -9, 2, -2, -14, -3, 20],\n [21... | 308 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -20, -13, -22, 0, 0, -9, 10, -18, 2],\n [-20, -5, -6, 16, -10, -2, 16, 24, -8, 2],\n [-13, -6, -30, 24, 12, 17, 4, 0, -2, -25],\n [-22, 16, 24, 8, 2, -24, -6, -2, 2, 2],\n [0, -10, 12, 2, 25, 0, -4, -8, 18, 28],\... | 370 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[30, -4, 7, 0, -20, -20, 1, -12, 1, -8],\n [-4, 2, -12, -1, 16, 1, -10, -4, 24, -14],\n [7, -12, -15, -18, 2, 2, 9, 10, -30, -18],\n [0, -1, -18, 18, -6, 2, 12, 10, -12, 8],\n [-20, 16, 2, -6, 11, -11, -16, -6, -20, 6],\n [-20, 1... | 70 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, -2, -18, 14, -1, -23, -18, -8, 4, -12],\n [-2, 6, 19, 7, 5, 2, 30, -11, -1, -4],\n [-18, 19, 30, -10, 0, 2, 16, -18, 4, -5],\n [14, 7, -10, -7, 26, 0, -5, -1, 6, 2],\n [-1, 5, 0, 26, -7, -10, 10, -3, 28, -7],\n [-23, 2, 2, 0... | 69 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, -21, 3, 18, 10, -12, 8, 0, 2, -19],\n [-21, -15, 14, -1, 8, -2, 4, -1, -20, -8],\n [3, 14, -13, -26, 19, 4, -24, -15, -26, 0],\n [18, -1, -26, -8, -6, 0, 6, 16, 8, -12],\n [10, 8, 19, -6, 23, -6... | 366 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-9, 6, -21, -24, -4, 14, -24, -13, 8, -4],\n [6, -29, 8, -5, -4, 16, -10, -10, -20, 2],\n [-21, 8, 19, -15, -14, 11, 14, -22, -14, 4],\n [-24, -5, -15, 16, 16, 20, -2, 4, 0, -20],\n [-4, -4, -14, 16, 19, 2, 6, -3, 0, -26],\n... | 363 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -18, 0, -10, 1, 23, 3, -23, 28, 10],\n [0, -29, 7, 1, 23, 9, 27, -3, 6, 10],\n [0, 0, -21, 24, -27, 4, -21, 16, -20, -17],\n [0, 0, 0, -14, -15, 4, -29, -20, 30, 10],\n [0, 0, 0, 0, 16, -17, 3, 1... | 126 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, 6, -17, -14, -8, 0, -18, -12, -8, 2],\n [6, 17, -8, -6, 6, -16, -4, -2, 20, 7],\n [-17, -8, 18, 4, -16, 14, -9, 25, -22, 1],\n [-14, -6, 4, -22, -2, -2, 29, -1, -18, -2],\n [-8, 6, -16, -2, -1, -20, 25, 0, 0, -18],\n [... | 355 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 26, -12, -29, -9, -11, 2, -23, -6, 15],\n [0, 3, 26, -8, -26, 24, 30, -6, -23, -15],\n [0, 0, 14, 21, 30, -16, -30, -9, -28, 7],\n [0, 0, 0, -13, 16, 10, -13, -28, -21, 18],\n [0, 0, 0, 0, 26, -4... | 103 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, -2, -20, -4, -16, 2, 6, -4, -4, -14],\n [-2, -1, -4, 6, 14, 8, -6, -8, -6, -2],\n [-20, -4, 19, 11, 2, 8, 8, 5, -24, -4],\n [-4, 6, 11, -23, -4, -20, 17, 11, -20, -12],\n [-16, 14, 2, -4, -15, -7, -22, -20, 8, -... | 349 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, -7, -20, 28, -9, -16, -21, 10, -4, 29],\n [0, 21, -3, -30, -14, 0, 13, -21, 6, -2],\n [0, 0, 7, 8, 18, -25, 9, -19, 22, -17],\n [0, 0, 0, 23, -11, -16, 0, -24, 27, 10],\n [0, 0, 0, 0, 8, -3, -1, 6, 24, -28],\n [0, 0, 0, ... | 133 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-24, -22, -18, 27, -28, 4, 2, -10, 0, 21],\n [0, 1, 26, 4, -16, 25, 1, -25, 14, -10],\n [0, 0, 21, -12, 2, -3, 0, -10, 23, 3],\n [0, 0, 0, 12, -16, -25, 21, -22, 6, -11],\n [0, 0, 0, 0, -3, 30, 24, 20, -22, 1],\n [0, 0, 0, 0, 0, ... | 24 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, -4, -6, -13, 23, -30, 30, 17, 8, -28],\n [0, -27, 10, 6, 20, -16, -23, 7, 19, -12],\n [0, 0, -5, 8, -21, 7, -17, 18, 10, -12],\n [0, 0, 0, 0, -24, -12, 0, 21, 27, 8],\n [0, 0, 0, 0, 17, 14, 9, -25, 7, 10],\n [0, 0, 0,... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, -9, -6, 0, -12, 8, -2, -11, 2, 12],\n [-9, -4, 10, 0, 9, -6, 0, -28, 0, 26],\n [-6, 10, 19, 5, -17, 0, -5, -1, -4, -12],\n [0, 0, 5, 17, -14, -18, -2, -2, -5, -22],\n [-12, 9, -17, -14, -9, 20, -... | 294 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-30, 1, 11, 11, -28, 18, -12, 29, 12, -2],\n [0, -29, -22, 25, -14, 29, 15, 5, 30, -14],\n [0, 0, 29, -11, 19, -28, 12, 26, 19, -27],\n [0, 0, 0, 15, 11, -16, 2, -15, -20, 24],\n [0, 0, 0, 0, 23, -15, -1, 3, -30, -7],\n ... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, 5, 8, 2, -10, 16, -8, 13, 11, 6],\n [5, 15, 3, -13, 2, -1, -8, -10, -11, 4],\n [8, 3, 27, 0, -4, -14, 6, 6, 6, 11],\n [2, -13, 0, 5, -3, 9, -24, 8, -6, 14],\n [-10, 2, -4, -3, -20, 20, -14, -12, 15, -8],\n [16, -1, -... | 64 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, 12, 18, -22, 19, -14, 0, -19, -8, 23],\n [0, -26, 12, 5, 28, 5, -28, 27, -7, 24],\n [0, 0, 8, -5, -27, 24, 14, -19, -30, -10],\n [0, 0, 0, -13, 12, 21, -28, 30, 18, 13],\n [0, 0, 0, 0, -26, -27,... | 154 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, -10, -5, 10, 27, 4, 7, -7, -20, 10],\n [0, 16, 24, 29, -28, -30, 21, 30, 23, -12],\n [0, 0, -9, -17, 18, 26, 28, -17, 13, -15],\n [0, 0, 0, 18, -19, 24, 20, 7, 8, 2],\n [0, 0, 0, 0, 0, -15, 0, -6, 17, 15],\n [0, ... | 133 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[21, -27, 3, -26, 2, 26, -26, 7, 3, 27],\n [0, -30, -27, 8, 23, -5, 2, 2, -23, -11],\n [0, 0, 14, 24, 25, -5, -8, -13, 0, 21],\n [0, 0, 0, 11, -22, -28, 29, 20, -5, -22],\n [0, 0, 0, 0, 19, -17, 30, -28, 3, 2],\n [0,... | 183 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, 4, 22, 14, -1, -7, -4, -2, 10, -9],\n [4, -7, -2, -4, 2, -4, -20, -12, -12, 22],\n [22, -2, -20, 7, 4, -10, 6, 18, 0, 6],\n [14, -4, 7, -11, 18, -20, 16, -18, 6, -14],\n [-1, 2, 4, 18, -15, 3, 24, -6, 6, -5],\n [-7, -4, ... | 362 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, -10, 1, -10, -2, -4, 6, 18, 22, -3],\n [-10, 1, 6, -2, 24, -22, 6, 2, -22, 4],\n [1, 6, -4, -2, -10, -24, 10, 2, -9, -10],\n [-10, -2, -2, 26, 0, 1, 24, 2, 2, -2],\n [-2, 24, -10, 0, -4, -12, -4, -14, 22, -8],\n [-4, -2... | 357 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, 28, -24, -8, -7, -26, -26, -14, -1, -22],\n [0, -6, -12, -15, -10, -29, -21, -15, 6, -16],\n [0, 0, 1, 14, 16, 15, -23, 12, -13, 25],\n [0, 0, 0, 0, 2, -2, -26, -18, -30, -8],\n [0, 0, 0, 0, 5, 4, -16, 9, -28, -2],\n... | 28 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, 11, 1, -23, 26, 14, 4, 21, -8, 24],\n [11, 6, 6, 2, -24, -15, -6, 12, 28, -2],\n [1, 6, 29, -2, -20, 16, 7, -19, -1, -6],\n [-23, 2, -2, 17, -2, -15, -4, 9, -1, 3],\n [26, -24, -20, -2, -20, -14, 2, 8, -12, 8],\n [1... | 81 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-16, 2, 0, -20, 0, 2, 30, 14, 0, -14],\n [2, 19, 0, -10, 0, 4, 28, -22, 13, -4],\n [0, 0, -9, -12, 2, 16, -12, 1, 8, 6],\n [-20, -10, -12, -24, 4, -2, -6, 3, -20, -8],\n [0, 0, 2, 4, 13, 6, 14, 18, -4, 6],\n [2, 4, 16, -2, 6, 30,... | 57 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, 29, -13, 2, -6, 25, 0, 6, 28, 29],\n [0, 2, 8, 30, 12, 12, 1, -13, -14, 3],\n [0, 0, 11, 23, 22, 4, -1, -19, 4, -20],\n [0, 0, 0, -27, -6, 17, 1, -11, 19, 0],\n [0, 0, 0, 0, 16, -30, -28, 6, -9, -14],\n [0, 0, 0, 0, 0, 4... | 131 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -22, 18, -9, -22, 1, -23, 22, 0, -2],\n [-22, 10, 15, -21, -1, -12, -18, 4, -5, -6],\n [18, 15, -9, -17, 6, 21, -20, -6, -4, -22],\n [-9, -21, -17, -3, 10, 7, -14, 18, 10, -22],\n [-22, -1, 6, 10, 6, 20, 19, -6, -2, 7],... | 376 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, 12, -2, 21, 7, 2, -24, -19, 0, 1],\n [0, -11, 24, 20, -14, 5, -28, -30, 19, -4],\n [0, 0, 9, 2, -11, -17, 5, -26, -8, 14],\n [0, 0, 0, -25, 2, 24, -12, -18, -2, 30],\n [0, 0, 0, 0, -8, 17, -21, 23, 10, 10],\n [0, 0, 0, ... | 141 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, -1, 20, 22, -1, -28, 28, 27, 12, -24],\n [0, 18, 26, -22, 22, 10, 11, -18, -16, 23],\n [0, 0, 4, -4, -4, -23, 1, -11, -21, -18],\n [0, 0, 0, 23, -23, -2, 0, 10, -1, -9],\n [0, 0, 0, 0, 19, 10, -29, 3, -28, -15],\n [0... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-11, -21, -2, 10, 21, 20, 15, 3, 6, -11],\n [0, 30, -23, -24, -25, -20, 13, -13, 20, 11],\n [0, 0, -6, -10, 15, -28, -13, -7, 16, 7],\n [0, 0, 0, -24, -14, -30, 27, 19, -5, -16],\n [0, 0, 0, 0, 16, 0... | 160 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, 8, -7, -18, -18, 2, 2, 18, -10, 18],\n [8, 29, 1, 20, 18, -22, -22, -4, 1, 15],\n [-7, 1, 0, -14, 4, -2, -16, 19, 7, -22],\n [-18, 20, -14, -25, -18, -24, 8, -6, -17, 8],\n [-18, 18, 4, -18, 21, 4, 7, 0, -1, -8],\n [2, -... | 381 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[30, 13, 0, -12, -2, -8, -20, 15, -20, -24],\n [13, -9, -20, 28, 2, 4, -10, 11, -7, -1],\n [0, -20, 11, 2, -8, 16, 7, -10, -8, 19],\n [-12, 28, 2, 28, 17, 16, 8, -9, 8, 16],\n [-2, 2, -8, 17, 28, -4, 10, 1... | 88 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, -13, 8, 10, -17, 14, -19, -4, 4, 2],\n [-13, 30, 18, 14, 18, -6, -7, 20, -28, -20],\n [8, 18, -13, -6, 0, 1, 1, 4, -6, 2],\n [10, 14, -6, -15, -20, -5, -18, 28, 4, -7],\n [-17, 18, 0, -20, 6, -14, 5, 8, -18, -6],\n [14, -6, 1... | 78 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 1, 22, 28, -26, -27, -9, -13, 4, -14],\n [0, 19, 25, -7, -29, -18, 23, -16, -26, -28],\n [0, 0, 6, -28, 4, 21, -8, 29, -3, 29],\n [0, 0, 0, 21, 5, 2, -5, 17, 9, -14],\n [0, 0, 0, 0, 22, 25, 0, 28, 27, -19],\n [0, 0, 0, 0, 0, 8... | 22 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-19, 10, -6, 1, 15, -2, -4, -11, -22, -4],\n [10, 29, -2, 9, 16, 1, 1, 8, -4, 19],\n [-6, -2, 8, 9, -18, 8, -4, -6, -2, -20],\n [1, 9, 9, 20, -8, -10, -11, 5, -8, 9],\n [15, 16, -18, -8, -18, 12, 1, -12, 23, 12],\n [-2, 1, 8, -10... | 63 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-15, 0, -13, 25, -4, -4, 10, -4, -13, 14],\n [0, -24, -6, 4, -2, 2, 2, 16, 10, -23],\n [-13, -6, -19, 0, -4, -9, 4, 4, -2, -6],\n [25, 4, 0, -7, -4, -8, 12, -16, -17, -10],\n [-4, -2, -4, -4, 7, 16, 4, 0, -2, -16],\n [-4, 2... | 274 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 25, 13, -12, 15, 6, 9, 8, 11, -16],\n [25, 23, -7, -2, 22, 30, 12, -20, 2, 4],\n [13, -7, -24, 13, 0, -6, -17, 4, -2, 29],\n [-12, -2, 13, 13, 14, 0, -13, 2, 22, 4],\n [15, 22, 0, 14, -15, 13, -14, 1,... | 68 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-17, -24, -15, -15, -24, 6, -4, 7, 12, 22],\n [-24, -22, 1, 26, 4, 12, 9, 8, 7, 2],\n [-15, 1, -2, 7, 8, 0, 12, 12, 26, -2],\n [-15, 26, 7, -1, 18, 2, -11, -4, -3, 6],\n [-24, 4, 8, 18, -13, -12, 5, -17, 0, 0],\n [6, 12, 0, 2, -... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 20, -16, 0, 23, -15, -21, 23, -2, 28],\n [0, -25, -2, -14, 22, 29, -9, -7, 30, -14],\n [0, 0, 19, -20, 25, -24, 11, 8, -26, 13],\n [0, 0, 0, -10, -13, 4, -11, -16, -26, -18],\n [0, 0, 0, 0, 6, -2... | 119 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, 14, 12, 18, -10, -16, -17, 11, 13, -15],\n [0, 11, -27, -4, -8, -2, 10, 22, 21, -22],\n [0, 0, 25, 21, 12, 12, -24, 22, 11, -27],\n [0, 0, 0, 10, -3, -15, 10, 23, -1, -27],\n [0, 0, 0, 0, -10, -25, 12... | 25 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 2, -16, -23, 16, 13, -2, 4, -8, 4],\n [2, 16, 0, 26, 12, -10, -20, 14, 2, 5],\n [-16, 0, -19, 4, -3, -6, -18, 10, -1, 22],\n [-23, 26, 4, -3, 10, -15, 8, -20, -4, 21],\n [16, 12, -3, 10, 29, -2, -4, -20, 8, 3],\n [13, -10, -6... | 68 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, 24, -5, -15, -21, 14, -29, 4, -12, -25],\n [0, 28, 22, 21, 20, -23, -17, -21, -28, 7],\n [0, 0, -8, -8, -13, 15, -12, -3, -5, -21],\n [0, 0, 0, -29, -28, -24, 24, -15, 0, -21],\n [0, 0, 0, 0, -12, 6, -8, -11, -18, -18],\... | 163 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-9, -1, 12, 9, 6, 3, 13, 29, 3, 27],\n [0, 22, 4, 11, -12, -23, 8, 2, 13, 30],\n [0, 0, 17, -6, 5, -14, -7, -10, -29, 0],\n [0, 0, 0, -19, 13, -19, 20, 26, 18, 21],\n [0, 0, 0, 0, -20, -18, -4, -23, -21, -23],\n [0, 0, 0, 0,... | 153 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-1, -10, 0, -4, 10, 18, 11, 6, 12, -18],\n [-10, -30, 7, -22, -8, 10, -8, -14, 12, 0],\n [0, 7, 28, 0, 6, -10, 26, -28, 20, -3],\n [-4, -22, 0, 15, 12, 2, 7, 19, 11, 12],\n [10, -8, 6, 12, -2, -4, 18, -12, 4, 26],\n [18, 10,... | 399 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, -6, 0, 14, 4, 10, 9, -2, 18, 22],\n [-6, -24, -3, 24, -20, 9, -8, 6, -16, 1],\n [0, -3, 9, -16, 18, 14, -24, -12, 2, -2],\n [14, 24, -16, -7, 5, 2, 4, -18, 16, 2],\n [4, -20, 18, 5, 24, -8, 16, 16, -6, 18],\n [10, 9,... | 70 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, -23, -28, -3, 30, -2, -8, -13, 4, -18],\n [0, 16, 19, -26, 8, -20, 27, 28, -20, 28],\n [0, 0, 16, 0, 0, -18, -17, 18, 14, 11],\n [0, 0, 0, -16, -15, 13, 27, 25, 7, -25],\n [0, 0, 0, 0, 25, -27, -1, 3, -4, 0],\n [0, 0, ... | 183 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 14, -12, -12, 27, -10, -6, -20, 19, 12],\n [14, 18, 4, 11, -6, -12, -2, 6, 28, 10],\n [-12, 4, 5, -8, 9, -22, -8, 15, 22, 0],\n [-12, 11, -8, 9, -4, 0, 10, -12, 0, 20],\n [27, -6, 9, -4, -8, 18, ... | 379 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[23, -1, -2, -11, 2, 10, 13, 5, 29, -9],\n [0, -24, -23, -3, 14, 12, -22, -6, 25, -15],\n [0, 0, 0, -19, 29, 0, -17, 20, 13, 1],\n [0, 0, 0, 4, -30, -2, 20, 30, -27, -8],\n [0, 0, 0, 0, -10, 14, -14, 9, -18, 21],\n [0, 0, 0,... | 130 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, -14, 18, -14, -24, 1, -4, -8, -6, 14],\n [-14, 19, 18, -2, -16, 1, -13, -19, 26, -2],\n [18, 18, 19, -8, 23, 2, 6, 2, -18, -4],\n [-14, -2, -8, -23, -8, 8, -13, -18, 15, 2],\n [-24, -16, 23, -8, -10, 6, -1, 1, 6... | 350 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-8, -16, 2, 26, -18, -8, 7, 1, 14, 19],\n [0, -30, 16, 27, 14, -26, 26, -18, 23, -26],\n [0, 0, 20, -10, -7, 29, -13, -10, 23, -21],\n [0, 0, 0, -10, -6, 21, 29, 26, 28, -8],\n [0, 0, 0, 0, -25, -3, 0, 4, 8, 11],\n [0, 0, 0, 0, ... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 0, -14, -17, -9, 21, -2, 10, 13, -24],\n [0, -3, 6, 10, 6, 2, -2, 8, -13, 1],\n [-14, 6, 29, -24, 19, 20, -26, -5, 17, -8],\n [-17, 10, -24, 9, 6, 10, -4, 8, -28, -22],\n [-9, 6, 19, 6, 3, 14, -14, 15, -17, 17],\n [21, 2, 20... | 80 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-30, -22, 0, 10, 23, -5, -14, 25, 3, -22],\n [0, 20, -18, -26, 10, -18, -30, -6, 16, -27],\n [0, 0, -21, -3, 26, -25, -4, 25, -19, 21],\n [0, 0, 0, 2, -21, 0, -16, -24, 5, -17],\n [0, 0, 0, 0, 18, 22, 15, 19, -28, -9],\n [0, 0, ... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, 12, 12, -14, -6, 0, -6, 3, 0, -2],\n [12, 17, 3, -4, 6, -2, 2, -18, 7, -2],\n [12, 3, 0, 29, 12, 6, -7, -17, 4, 6],\n [-14, -4, 29, 29, -10, -8, 16, 7, -8, 21],\n [-6, 6, 12, -10, 7, 8, -15, 9, 12, 12],\n [0, -2, 6, -8, ... | 316 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, 8, -2, 4, -10, 20, 18, 2, 0, -20],\n [8, -10, 1, -20, 18, 10, -20, 8, -4, 2],\n [-2, 1, -19, 15, -12, 14, -1, -8, 3, -2],\n [4, -20, 15, 6, 4, 4, -19, -22, 4, 8],\n [-10, 18, -12, 4, 7, 13, -18, -5, -2, 16],\n [20, 10, ... | 369 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-27, 18, 8, 3, 1, -2, 16, -24, -4, -3],\n [18, -4, -8, 15, -21, 21, 16, 18, -18, 2],\n [8, -8, -5, 18, 9, -30, 3, 8, 23, 0],\n [3, 15, 18, 13, -1, -20, 22, 16, 10, 5],\n [1, -21, 9, -1, -10, 8, 1, 12, 0, -16],\n [-2, 21, -30, -20... | 72 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, 5, 12, 9, 18, -1, -5, 8, 10, 23],\n [5, -27, -10, -8, -4, -18, 5, -12, -9, -6],\n [12, -10, 0, -7, 8, 2, -4, -4, 4, 11],\n [9, -8, -7, -19, 6, 0, 8, -12, 16, 16],\n [18, -4, 8, 6, -2, -22, 0, 0, -12, -13],\n [-1, -18, 2, 0, -2... | 65 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, 21, 22, 14, 10, -10, 2, 19, -12, 5],\n [21, 5, 3, 10, -16, -9, -20, -16, 20, 11],\n [22, 3, -21, -6, 0, -2, -10, -10, -6, 8],\n [14, 10, -6, -10, 12, -26, -26, -15, 5, -26],\n [10, -16, 0, 12, 14, -5, -3, 4, -5, 3],... | 80 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -3, -26, -3, 12, 10, -2, -6, -11, 28],\n [-3, 23, 0, 16, -8, 4, 16, 16, 2, -21],\n [-26, 0, 19, -22, -4, -3, 16, 8, -6, 2],\n [-3, 16, -22, -14, 4, 12, -8, 4, -8, 11],\n [12, -8, -4, 4, 21, 4, -13, -4, 8, 0],\n [10, 4, -3... | 319 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[16, -30, -28, -4, -13, 19, -1, -29, -26, -2],\n [0, 11, -11, -1, 11, -26, 19, -10, 27, -16],\n [0, 0, 18, 0, -19, -10, -1, -4, 13, -5],\n [0, 0, 0, 5, 9, -30, 28, -16, 19, -30],\n [0, 0, 0, 0, 0, 13, -15, 23, -9, 11],\n [0, 0, 0,... | 27 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[30, 22, 0, 17, 6, 19, -6, -4, 6, -14],\n [22, 21, 26, 0, 16, -25, 5, 16, -16, 22],\n [0, 26, 12, 2, -29, 8, -18, 5, -11, 0],\n [17, 0, 2, 29, -4, 4, -6, 6, 4, 9],\n [6, 16, -29, -4, 4, -12, -22, 5, 8, -6],\n [19, -25, 8, 4, ... | 405 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-16, -3, -7, -7, 4, 0, 26, 0, -4, -2],\n [-3, -29, -17, -6, -16, -1, -6, 12, -19, 10],\n [-7, -17, 18, -14, 8, 7, -8, -6, -2, 22],\n [-7, -6, -14, -12, 0, 3, -8, 0, 0, -2],\n [4, -16, 8, 0, -29, -1, 4, 2, 8, -24],\n [0, -1, 7, 3,... | 66 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, 12, -18, -14, 0, 22, -17, 16, -4, -24],\n [12, 30, 17, 0, -18, -8, -11, 4, -5, 17],\n [-18, 17, 6, -21, 8, 0, 8, -15, 6, -12],\n [-14, 0, -21, 14, 14, -20, 12, 20, -4, -18],\n [0, -18, 8, 14, -7, -10, 2, -10, -26, -18],... | 423 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[22, -21, 2, 0, -8, 0, 25, 0, -16, -25],\n [-21, -20, -2, 12, -6, -18, 0, -2, -7, 4],\n [2, -2, 18, 0, 4, 18, 6, 28, 12, 6],\n [0, 12, 0, 9, -2, 6, 22, -4, 11, 2],\n [-8, -6, 4, -2, -22, 24, -5, 22, 0, 4],... | 71 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 0, -10, -13, -8, -14, 6, 18, -6, 3],\n [0, -19, -14, 0, -4, -21, 16, 12, -20, 12],\n [-10, -14, -10, 18, -22, 20, 0, 12, 18, -2],\n [-13, 0, 18, 26, -20, -10, 20, -5, 20, -5],\n [-8, -4, -22, -20, 11, ... | 68 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, 8, 10, 6, -17, 6, -23, 8, -18, -18],\n [0, 12, -3, 27, -13, 26, -12, 7, 1, -9],\n [0, 0, -18, -8, -6, -3, 27, -20, 2, -7],\n [0, 0, 0, 9, 3, 7, -9, -26, 17, 9],\n [0, 0, 0, 0, 0, 21, 8, 17, -8, 17],\n [0, 0, 0, 0, 0, -4... | 82 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-17, -14, -1, -6, 12, 14, -22, 20, -2, -2],\n [-14, -10, 8, 6, 8, 28, 24, 22, 13, -10],\n [-1, 8, 3, 12, -22, 2, 10, -2, -2, -4],\n [-6, 6, 12, -13, 0, 25, -6, -14, 0, -15],\n [12, 8, -22, 0, 17, -2, 1, -... | 71 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, 18, -13, 14, 15, -14, 12, -18, -4, 20],\n [18, -29, 3, 16, 13, -10, 3, -8, -12, 4],\n [-13, 3, -9, 4, 4, 8, -9, 10, 3, -6],\n [14, 16, 4, -14, -2, 4, 12, -4, 14, 8],\n [15, 13, 4, -2, 26, -5, 12, -7, -4, -2],\n ... | 316 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, -4, -5, -12, 12, 12, -19, 6, -18, 7],\n [-4, 24, 2, 8, -14, 12, -18, 10, 5, -6],\n [-5, 2, 26, 21, 16, -14, -20, 14, 13, -8],\n [-12, 8, 21, -26, -14, 10, 10, 16, 0, -6],\n [12, -14, 16, -14, -28, 10, -16, 12, ... | 365 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[14, 7, 6, -1, -2, -16, -22, -2, 2, 12],\n [7, 5, -2, -10, -12, -5, 4, -13, 0, 0],\n [6, -2, 29, -15, 11, 1, 13, -7, 24, -4],\n [-1, -10, -15, -13, 1, 12, 4, -6, -4, 2],\n [-2, -12, 11, 1, -22, -9, 2, 18, -14, -12],\... | 326 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[25, 4, -6, -12, 4, -21, -14, 23, 12, -6],\n [4, -24, 6, 4, 6, 16, -5, 4, 13, -4],\n [-6, 6, -1, 8, 9, 0, 27, 4, -12, -21],\n [-12, 4, 8, -23, 22, -2, 18, -16, -16, -18],\n [4, 6, 9, 22, -4, 16, -10, ... | 377 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, 3, -2, 7, -2, 15, -10, -2, 3, 3],\n [3, 13, -4, -2, 10, 14, 12, -26, 3, 17],\n [-2, -4, 0, -14, -1, -4, -10, -20, 8, -26],\n [7, -2, -14, 21, 4, 4, 21, 10, 20, 6],\n [-2, 10, -1, 4, 20, -4, 5, -3, -6... | 72 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[19, 15, -2, 12, -8, 16, -15, -12, -21, -4],\n [15, 28, -13, -10, 6, 8, 18, -16, 14, -8],\n [-2, -13, -6, -8, -7, 21, 12, -14, -2, 4],\n [12, -10, -8, -25, -18, -11, -18, -11, -12, 1],\n [-8, 6, -7, -18, 1... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, 17, 27, 27, -16, 24, -14, -5, -11, -6],\n [0, 2, -6, -23, -26, -25, -8, 21, -1, -17],\n [0, 0, -20, 0, -25, -20, -18, -19, 23, -29],\n [0, 0, 0, 5, -14, -3, -3, -9, 7, -24],\n [0, 0, 0, 0, -28, -1, -2... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[27, 0, -4, -9, -20, 6, 2, 5, 13, -16],\n [0, -17, -8, -12, 8, -6, 4, -9, -4, 11],\n [-4, -8, -1, 2, 5, 7, 11, 4, -1, 6],\n [-9, -12, 2, -17, 4, -11, 13, -10, -29, 2],\n [-20, 8, 5, 4, -6, 18, -2, -22, -7,... | 66 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 12, -10, -16, 4, 17, -10, -10, -10, 29],\n [0, 1, 24, -26, 8, -22, 22, -13, -10, -23],\n [0, 0, 3, -21, 20, 10, 26, -7, 9, -7],\n [0, 0, 0, 2, 7, 13, 26, 25, 20, 28],\n [0, 0, 0, 0, -13, -8, 29, -9, 12, -13],\n [0, 0, 0, 0, ... | 19 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, 0, -20, 10, -4, 3, -10, -11, 4, 4],\n [0, 30, -8, 9, -7, 5, 12, -3, -6, 22],\n [-20, -8, -4, -18, 0, 0, 25, 16, 16, -20],\n [10, 9, -18, -19, 4, 2, 15, 12, -4, -12],\n [-4, -7, 0, 4, -18, 14, 4, 1... | 351 | MATH |
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