messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, 10, -11, 18, 24, 7, -3, 17, 2, -13],\n [10, 29, 4, -6, -2, 16, -12, -2, 12, -9],\n [-11, 4, -23, -2, 6, -6, -5, -8, 18, 0],\n [18, -6, -2, 4, 12, 14, 24, 18, -28, 16],\n [24, -2, 6, 12, 4, 14, 6, 6, 1, -14],\n [7, 16... | 73 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[16, 19, 22, 23, 9, -11, -4, -24, 28, -8],\n [0, 18, 20, 3, -2, 30, 13, 20, -26, -4],\n [0, 0, 6, 3, -1, 5, -25, 1, 1, -22],\n [0, 0, 0, -2, -20, -3, -29, 25, -10, 26],\n [0, 0, 0, 0, 30, -14, -4, -1, 10, 26],\n [0, 0, 0, 0, ... | 150 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-3, 20, -15, -18, 20, -22, -2, 5, -7, 3],\n [20, 20, 14, -18, -20, 20, 23, -17, -4, 5],\n [-15, 14, 10, 20, 2, -2, 11, 2, -4, 25],\n [-18, -18, 20, -10, 16, 11, 10, 21, -16, 18],\n [20, -20, 2, 16, -3, -18, 6, 2, 16, 2],\n [... | 398 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[13, 4, 2, 22, 11, 12, 8, -10, 14, -8],\n [4, -22, 6, 19, 3, 8, -5, -3, -2, -12],\n [2, 6, -12, 0, 0, 4, 5, 19, -2, 6],\n [22, 19, 0, -1, 7, -21, -1, 6, -24, 16],\n [11, 3, 0, 7, 16, -2, 0, 3, -20, 10],\n [12, 8, 4, -21, -2, 28, ... | 73 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, -2, 10, -2, -2, -6, -4, -10, 4, -9],\n [-2, -30, -16, 3, 0, 24, -4, 4, -6, -20],\n [10, -16, 2, 15, 6, -17, 6, -4, -7, 16],\n [-2, 3, 15, 1, 16, 0, 3, 15, -4, 6],\n [-2, 0, 6, 16, 7, -15, -2, 0, 2, 12],\n [-6, 24, -17, 0, -15,... | 62 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[16, -12, 9, 4, -3, -8, 4, -13, 0, -19],\n [-12, -10, 9, 4, 13, -2, 2, -4, -21, 10],\n [9, 9, -13, 14, -2, -4, 2, 22, 3, 6],\n [4, 4, 14, -9, 15, -12, -7, 26, 6, -20],\n [-3, 13, -2, 15, -29, 14, -2, -6, 2... | 83 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[16, -4, 11, -1, -2, 8, -20, 2, 12, -6],\n [-4, -8, -1, -5, -22, -9, 20, -6, -11, -16],\n [11, -1, -16, 8, -9, 2, -23, -16, -10, 7],\n [-1, -5, 8, -26, 2, 11, -3, -6, 9, 20],\n [-2, -22, -9, 2, -12, -8, 9, 2, 15, -2],\n [8, -9, 2... | 80 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[27, 16, -7, -2, 1, -11, -6, 14, 8, -18],\n [16, 21, 6, 24, 12, 2, 14, 4, 15, -16],\n [-7, 6, 4, -2, 0, 2, -1, -12, 19, 19],\n [-2, 24, -2, -15, -2, -20, -12, 4, 1, 6],\n [1, 12, 0, -2, 25, 2, -12, 12, 25, 20],\n [-11, 2, 2,... | 336 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-30, -6, 2, -17, -8, 6, 0, -3, -8, -19],\n [-6, -17, -10, 2, -2, 11, -10, -16, 14, -14],\n [2, -10, 1, -18, 9, -4, 7, 18, 2, -4],\n [-17, 2, -18, -20, -4, -6, -2, -4, 6, -6],\n [-8, -2, 9, -4, 12, 9, -11, 15, 18, 8],\n [6, 11, -... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, -14, -10, 8, 4, 1, -13, 6, 2, -11],\n [-14, -4, -13, 10, -17, 11, 12, 5, -12, 10],\n [-10, -13, -3, 0, -14, 22, 9, -14, -6, -8],\n [8, 10, 0, 15, -12, 0, -10, -22, -12, -5],\n [4, -17, -14, -12,... | 339 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[30, -4, -18, -7, -14, 12, -16, -1, -22, -20],\n [-4, -12, -8, 4, 2, -16, 18, 8, 3, 4],\n [-18, -8, 18, 4, 11, 16, -11, -13, -2, -4],\n [-7, 4, 4, -27, 4, -2, 9, -10, -2, 17],\n [-14, 2, 11, 4, -6, 6, -24, -1, -4, 4],\n [12, -16, ... | 64 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, 19, 27, -30, 8, 21, -19, 9, 9, 29],\n [0, 23, -22, 15, -11, -26, -11, -10, -29, -10],\n [0, 0, -22, 8, 24, -1, 23, -13, 27, 13],\n [0, 0, 0, 10, 17, -10, -9, -14, -26, -25],\n [0, 0, 0, 0, 15, -27, 6, -12, 22, -3],\n [0... | 171 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[1, 0, 10, 18, -14, 10, 3, -23, -8, 2],\n [0, -11, -6, -1, -23, 9, 10, -16, -2, 10],\n [10, -6, -5, -22, 4, 12, -7, 15, -6, -2],\n [18, -1, -22, 26, -10, -12, -10, -14, -10, -2],\n [-14, -23, 4, -10, -20, 0, -2, 15, -26, ... | 68 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-13, 8, -1, -16, -7, -16, 13, 14, 14, -18],\n [8, 5, 3, -5, 17, 8, -28, -5, 16, 0],\n [-1, 3, -25, 2, -1, 0, -4, -2, 6, -21],\n [-16, -5, 2, 12, -4, 18, 15, 2, -2, 22],\n [-7, 17, -1, -4, 10, 3, 19, -23, -10, 5],\n [-16,... | 64 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, -9, 14, -10, 19, 0, 0, 6, 14, 6],\n [-9, -14, 0, -6, 8, 30, 7, 5, 16, -14],\n [14, 0, 11, 20, 0, -4, 5, -20, -10, 5],\n [-10, -6, 20, -28, -14, 4, 3, 2, 11, 2],\n [19, 8, 0, -14, 20, -3, -20, 4, 21, 10],\n [0, 30, -4, 4... | 364 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 12, -12, 14, 8, 7, -24, 7, -5, -1],\n [12, 17, -14, -20, 6, 3, 10, -4, -8, -2],\n [-12, -14, -28, 9, 14, -2, 2, -18, 4, 2],\n [14, -20, 9, 23, 12, -6, 1, -19, -14, 25],\n [8, 6, 14, 12, -29, -2, 10, -26, -5, 12],\n ... | 69 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-16, 18, 10, 12, 1, -12, 23, 5, -9, -6],\n [18, -3, -12, 4, -30, 4, -9, -6, 26, 1],\n [10, -12, -1, -14, 14, 23, -14, -17, -16, 14],\n [12, 4, -14, -1, 8, 5, 0, 13, 5, -4],\n [1, -30, 14, 8, -21, 12, 0, 11, 5, 0],\n [-12, 4, 23, ... | 69 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, -22, 25, -12, 4, 0, -13, -3, -4, 0],\n [-22, -13, 12, 16, -12, -8, -14, 22, 5, 5],\n [25, 12, -21, -5, 13, -5, -2, -16, 5, -2],\n [-12, 16, -5, 1, 20, -2, -16, 2, 14, -12],\n [4, -12, 13, 20, 20, 7, 8,... | 68 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, 0, 0, -4, 14, 8, 17, 2, -2, 2],\n [0, 0, 4, -14, -4, 28, 24, -18, -16, -2],\n [0, 4, 20, 9, -4, -8, -1, 14, 8, 2],\n [-4, -14, 9, -25, 16, -4, 2, -12, -20, -4],\n [14, -4, -4, 16, 3, -13, 3, 10, 4, 6],\n [8, 28, -8, -4,... | 350 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-5, 2, -16, -8, 3, -6, 1, -4, 3, 0],\n [2, 13, 6, 18, 14, 14, 16, -5, 16, 6],\n [-16, 6, 14, 4, 14, 18, 1, -10, 12, -4],\n [-8, 18, 4, -19, -13, -10, -27, -22, 13, -11],\n [3, 14, 14, -13, 21, 6, 8, ... | 316 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, 6, -5, 2, 2, 12, 0, -2, -14, 9],\n [6, -22, 4, -10, -2, -6, -6, -12, -8, 1],\n [-5, 4, -24, -13, 10, 6, 0, 0, 1, -2],\n [2, -10, -13, 6, 4, -23, 4, 0, 3, -12],\n [2, -2, 10, 4, 17, -14, -4, 3, 0, -15],\n [12, -6, 6, ... | 57 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-29, -14, -6, -14, 25, -12, 0, -20, -14, 18],\n [-14, 7, 4, -2, -16, 4, -19, 2, 13, 16],\n [-6, 4, 12, -12, -6, 20, 0, 10, -20, 6],\n [-14, -2, -12, -27, 6, 10, 0, -13, -9, -5],\n [25, -16, -6, 6, 0, -16, 25, -2, -12, 8],\n [-12... | 67 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 6, 0, 4, 6, 6, 2, 16, -2, 8],\n [6, -5, 6, 11, 4, -10, -10, -8, -19, -16],\n [0, 6, 29, 0, -18, -12, 2, 12, 20, 20],\n [4, 11, 0, -28, 3, -2, -12, 10, -2, -8],\n [6, 4, -18, 3, 2, 0, 2, -15, -10, ... | 330 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -1, -10, -12, -2, 2, -8, -10, 4, 2],\n [-1, 23, 16, 16, -7, -16, 14, 16, -2, 26],\n [-10, 16, -13, -17, -13, -2, 3, -18, 16, 15],\n [-12, 16, -17, -4, 15, -4, -14, -1, -12, -25],\n [-2, -7, -13, 1... | 355 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[16, 20, 18, -18, -29, 1, 19, 0, 30, -20],\n [0, -27, 3, 28, -15, 0, -6, 8, -23, -23],\n [0, 0, -26, -12, -21, -22, 26, 23, -2, 21],\n [0, 0, 0, -18, 28, 15, 9, -15, -1, 29],\n [0, 0, 0, 0, 24, -12, -14, -7, 24, 22],\n [0, 0, 0, ... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[29, 2, -14, -28, 0, 28, -2, 18, 16, -15],\n [2, -26, -4, -26, -8, 14, 16, -4, -16, -12],\n [-14, -4, -9, 9, -18, -16, -6, 14, -7, -10],\n [-28, -26, 9, 0, 13, 24, -18, 0, 12, 4],\n [0, -8, -18, 13, 0... | 361 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-21, -23, 30, -10, 29, 26, -9, -18, 17, 9],\n [0, -14, 17, -22, 26, 20, 18, 25, 9, -19],\n [0, 0, -25, -6, -3, -21, 10, -3, -2, 5],\n [0, 0, 0, 7, -5, -13, -27, 13, 10, -16],\n [0, 0, 0, 0, -24, 26, 15, 29, 17, -16],\n [0, ... | 147 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[12, 29, 18, -26, -30, -28, 17, -7, -2, -16],\n [0, 13, -30, 18, 25, -16, -7, 21, 0, -11],\n [0, 0, -13, 3, -3, 7, -15, -7, 8, 24],\n [0, 0, 0, 11, -24, 5, -14, 18, -27, 22],\n [0, 0, 0, 0, -5, 24, -20, 0, -30, 9],\n [0, 0, ... | 141 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[25, -16, 14, 12, 3, -23, 19, 4, 24, -4],\n [0, -28, -10, 26, 8, 1, 19, 22, -10, -22],\n [0, 0, -27, -27, 18, -5, 24, 3, -4, -16],\n [0, 0, 0, -24, 30, 30, 13, 13, -17, -8],\n [0, 0, 0, 0, -5, 17, -22, -15, 0, -29],\n [0,... | 28 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, -22, -18, 3, 20, 20, 16, -10, 21, -4],\n [-22, -5, 0, 14, 2, -6, -14, -8, -2, -8],\n [-18, 0, 26, 10, -2, -16, -22, -4, -14, 5],\n [3, 14, 10, 24, -11, -13, 0, -6, -6, -6],\n [20, 2, -2, -11, -1, -14, 0, 7, 2, 11],\n [20, -6,... | 81 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-12, -6, -8, -22, 6, -24, 2, 1, -2, 16],\n [-6, 22, 0, -24, -16, 0, -4, -12, -2, -16],\n [-8, 0, -13, -8, 0, -3, -28, 14, 5, -2],\n [-22, -24, -8, -2, -20, -16, -14, 11, 6, -19],\n [6, -16, 0, -20, -15, 3, -15, -7, 2, -6],\n [-24... | 73 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, 6, -2, 11, -17, -2, -11, 22, -21, 1],\n [6, -25, 13, 3, 10, -13, 12, 8, 2, 6],\n [-2, 13, -11, 22, 16, 20, -18, -24, -12, 10],\n [11, 3, 22, 27, 9, 6, 11, -12, -4, 2],\n [-17, 10, 16, 9, -2, 12,... | 337 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-29, -2, 4, -24, -10, -4, 10, 6, -11, 0],\n [-2, 12, -23, -15, -11, 18, -14, -8, -10, 16],\n [4, -23, 7, 7, 7, 2, 4, -4, -17, -6],\n [-24, -15, 7, -9, 21, -12, 6, 3, 13, -1],\n [-10, -11, 7, 21, 21, 2, 16, 4, 1, 4],\n [-... | 69 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-29, -4, -6, -3, -12, 4, 4, -8, -6, 6],\n [-4, -19, 16, -11, 4, 10, 10, 14, -19, -15],\n [-6, 16, 22, 3, -13, 16, -18, 4, -3, 5],\n [-3, -11, 3, 16, 12, -2, 2, 3, 0, 8],\n [-12, 4, -13, 12, 1, 20, -2, -4, 4, -8],\n [4, 1... | 65 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, -19, -4, -2, 10, 2, -20, 2, -10, -24],\n [-19, 21, -26, -14, -17, 17, 10, 13, -10, -9],\n [-4, -26, -8, 16, -2, 6, 6, 18, 9, 12],\n [-2, -14, 16, 22, -2, 11, -5, 26, 3, 10],\n [10, -17, -2, -2, 29, 14, -14, 0, 16, 6],... | 74 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[26, 0, 1, 19, 14, -20, -21, -9, 0, 10],\n [0, -17, -28, -7, -17, 22, -15, 24, 30, -3],\n [0, 0, -29, 30, 25, 3, 24, -13, -24, 18],\n [0, 0, 0, -27, 12, -15, 28, 18, 29, -25],\n [0, 0, 0, 0, -9, -10, -13, 1, 16, 3],\n [0, 0,... | 193 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, 3, -22, -21, 30, 20, -30, 17, 19, -23],\n [0, 23, 12, 18, 28, -6, 0, 8, 27, 28],\n [0, 0, 8, 7, 4, -23, -30, -26, 25, 20],\n [0, 0, 0, 12, 29, 23, -5, -20, 3, 10],\n [0, 0, 0, 0, -19, -22, 10, -8, 11, -26],\n [0, 0, 0, 0... | 175 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-19, 12, 9, -30, 27, -28, -23, -5, 9, -20],\n [0, -10, -26, 9, -5, -10, -22, -14, 6, 20],\n [0, 0, 20, 24, 16, 9, -3, 25, -4, 9],\n [0, 0, 0, 8, -13, -4, 16, -21, 5, -10],\n [0, 0, 0, 0, 21, 26, -22, 14, 30, -4],\n [0, 0, 0, 0, ... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, -12, 22, -3, -10, -2, 17, 3, -2, 6],\n [-12, -30, -18, 4, -28, -10, -2, -5, -8, 2],\n [22, -18, 7, -20, 14, -9, 12, 2, 0, -8],\n [-3, 4, -20, 23, 17, -16, -4, 0, 26, -2],\n [-10, -28, 14, 17, -12... | 373 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[23, 4, 10, 18, 0, 0, -22, 24, 4, 10],\n [4, -1, 3, 1, 2, -11, 1, -7, 3, 12],\n [10, 3, -10, 8, 6, 22, -3, 3, 16, -16],\n [18, 1, 8, -10, -8, -14, 2, 6, -12, 0],\n [0, 2, 6, -8, 20, 14, -25, -6, 2, -10],\n... | 70 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[26, -17, 8, -10, 10, -3, 21, 1, 17, 5],\n [-17, -8, 12, -14, -21, 12, 6, 25, 24, -4],\n [8, 12, -13, 22, 19, 18, 13, -8, 4, 10],\n [-10, -14, 22, 8, -2, -17, -5, 6, -17, -6],\n [10, -21, 19, -2, -5, 7, 2, 1, -14, 3],\n [... | 66 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, 7, -3, 4, -14, -2, -14, -3, -2, 18],\n [7, 27, 4, -16, 2, 4, 1, -6, -10, -16],\n [-3, 4, -11, -10, -2, 10, 11, -16, -10, 7],\n [4, -16, -10, -27, 19, -24, 18, 14, -9, -1],\n [-14, 2, -2, 19, 11, -3, 13, 10, -5, 4],\n [-2,... | 333 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, -14, -2, 8, 18, 18, 21, 3, 16, -24],\n [-14, 21, 24, 15, -2, 10, -10, 14, -17, 16],\n [-2, 24, 10, 10, -11, 6, 0, -10, 10, -4],\n [8, 15, 10, 17, 10, -6, -20, -6, -8, 2],\n [18, -2, -11, 10, 9, 6, -21, -4, 20, 2],\n [18, 10,... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -19, 2, 4, -11, 7, 8, 18, 13, -10],\n [-19, -23, -7, -2, -14, -23, 14, -16, 1, 2],\n [2, -7, -3, -8, 16, 22, 18, -5, -26, 4],\n [4, -2, -8, -7, -2, 2, -13, -6, -2, 7],\n [-11, -14, 16, -2, 26, -... | 327 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-24, -28, -25, 30, -18, 15, -16, -5, 17, 2],\n [0, 25, 8, 29, 10, 16, -17, -12, -3, -7],\n [0, 0, 2, -19, -21, -24, 15, 27, -30, -16],\n [0, 0, 0, -11, 24, -29, -28, 5, -15, 23],\n [0, 0, 0, 0, 23, 13, 8, 21, 23, -2... | 182 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, -14, 16, 6, 13, 0, -9, 10, 1, 0],\n [-14, -7, -8, -16, 4, -15, 2, -3, 12, -18],\n [16, -8, 28, 4, 2, 7, 28, -5, -8, -2],\n [6, -16, 4, 15, 15, 22, 16, -8, 12, -22],\n [13, 4, 2, 15, -9, 10, 0, -26, 8, 21],\n [0, -15, 7, ... | 363 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[27, 2, 1, -22, -20, -3, -6, -16, -10, 18],\n [2, 28, -1, -11, -19, 25, 15, -5, 8, -12],\n [1, -1, 2, -12, -3, 1, 12, -4, -25, -6],\n [-22, -11, -12, -30, 16, 4, 8, -6, -16, 0],\n [-20, -19, -3, 16, 15, 6, -6, 27, 17, 18],\n ... | 383 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[18, 24, 6, -24, 4, -4, 16, 4, 10, 0],\n [24, 17, -2, 12, 14, 18, 8, 8, -4, 10],\n [6, -2, -3, 6, 2, 2, 0, -2, 18, -14],\n [-24, 12, 6, 10, 2, 1, 8, 12, 0, -18],\n [4, 14, 2, 2, 0, -2, -6, 6, -20, 0],\n [-4, 18, 2, 1, -2, 29, -7, ... | 60 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 13, -2, 2, 3, 15, -4, -24, 18, -16],\n [0, -22, -18, 1, -29, 28, 1, 16, -11, 12],\n [0, 0, -4, 5, 28, -1, -20, -15, 24, -5],\n [0, 0, 0, 10, -9, 28, 0, 24, 22, 30],\n [0, 0, 0, 0, -5, -13, -16, 3, -9, -3],\n [0,... | 119 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, 16, -23, -14, 4, 5, -4, 9, 14, 2],\n [0, 19, -20, -10, -25, 17, -10, 30, 20, 27],\n [0, 0, -14, -13, -20, 15, 13, -6, -1, 21],\n [0, 0, 0, 18, 6, 23, 15, -4, 25, -5],\n [0, 0, 0, 0, -17, 26, -22,... | 181 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, -29, 12, 2, -10, -2, 1, 14, -19, -18],\n [0, 13, 18, 28, 9, -28, 8, 20, 21, -23],\n [0, 0, -29, -25, 17, 27, 10, 27, 26, 22],\n [0, 0, 0, 23, -19, 10, 17, 1, -25, 21],\n [0, 0, 0, 0, 22, -8, -21... | 195 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, -4, -18, -8, 28, -2, 12, -7, 8, -22],\n [-4, 22, 2, 3, 16, 6, 6, -9, -15, -24],\n [-18, 2, -27, 14, -2, 24, -14, 28, 0, 18],\n [-8, 3, 14, 28, -3, 8, -22, 22, 18, -11],\n [28, 16, -2, -3, -2, 10, 10, 2, -2, 10],\n [... | 91 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[12, 10, 4, -14, 24, 4, 4, -3, 4, -11],\n [10, -30, 0, -1, 6, 26, 17, 10, 6, -8],\n [4, 0, -11, 11, 18, 18, 16, 2, -4, -7],\n [-14, -1, 11, -26, 5, 8, -7, -10, 22, -16],\n [24, 6, 18, 5, 0, -14, -15, -2, -... | 75 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 10, 0, 10, -20, 1, 8, -9, 5, 4],\n [10, -21, -2, 23, -7, 0, 8, 2, 18, 10],\n [0, -2, -25, -28, 17, -10, 6, -12, -20, 6],\n [10, 23, -28, -24, -1, 4, -6, -12, 0, -17],\n [-20, -7, 17, -1, -14, 6, -30, 20, 10, -4]... | 352 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[27, -18, -10, 0, -2, -20, -11, 15, 3, -16],\n [-18, 20, -2, 26, 13, -13, 10, 15, 12, -4],\n [-10, -2, -29, 16, -10, 14, 20, 17, -19, 8],\n [0, 26, 16, 23, 5, 8, -13, -4, -6, 6],\n [-2, 13, -10, 5, 14, -13, 2, -2, 10, -24],\... | 347 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 13, 13, -15, -24, -17, -9, -22, 16, -8],\n [0, -27, 12, -5, 10, -25, 0, -14, -22, -4],\n [0, 0, -25, -27, 21, 12, -28, -7, 25, -13],\n [0, 0, 0, 17, -2, 1, -6, -19, 15, -22],\n [0, 0, 0, 0, -21, -20, 8, -12, -12... | 177 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 5, -15, -16, -3, 15, -10, -15, 11, -12],\n [5, 4, 14, -1, 27, -2, 0, 6, 4, -8],\n [-15, 14, -11, -17, 14, -12, 4, 6, 4, 7],\n [-16, -1, -17, 9, -4, 2, -6, -14, 10, 11],\n [-3, 27, 14, -4, 12, 0, -20, -20, 12, 2],\n [1... | 57 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, 26, -1, -1, -8, 14, -7, -11, -3, 25],\n [0, 30, 18, -18, 30, -15, 25, -16, -20, -19],\n [0, 0, -28, -7, -6, -22, -3, 15, -1, -24],\n [0, 0, 0, -28, -12, -29, -14, -2, -29, 22],\n [0, 0, 0, 0, 12, -5, 27, 18, 29, ... | 190 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-27, 13, -16, -11, -23, 19, -26, -29, -3, -9],\n [0, -3, 26, 15, -30, 21, 5, 18, 11, -29],\n [0, 0, 0, 20, 10, 20, -12, 0, -22, -28],\n [0, 0, 0, 14, 14, -24, 10, -6, -6, 19],\n [0, 0, 0, 0, -18, 9, -10, ... | 27 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -25, 7, 1, -30, -1, -15, -4, -13, -18],\n [0, 19, -3, -21, -17, 21, -2, 26, -20, 19],\n [0, 0, -4, 13, -14, 29, 25, -28, 0, -10],\n [0, 0, 0, 20, 25, -27, -9, -18, 27, 13],\n [0, 0, 0, 0, -5, 25, 8, 22, 8, -24]... | 104 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -23, -26, 1, -1, -17, 16, 12, -21, -21],\n [0, -25, -15, 29, -5, -10, 5, 27, 10, 11],\n [0, 0, -21, 17, 0, -20, 7, -24, 28, -19],\n [0, 0, 0, 10, 29, -23, -3, 28, -15, 22],\n [0, 0, 0, 0, 26, 24, 14, ... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[11, 0, 2, -10, -5, -16, -7, -4, 23, 4],\n [0, 11, 5, 14, -22, -8, 11, 0, -9, -16],\n [2, 5, -26, 4, -6, -15, 9, 2, -19, 20],\n [-10, 14, 4, 1, -4, -14, -20, -20, -8, -5],\n [-5, -22, -6, -4, -21, 2, ... | 366 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -5, -4, -5, 10, 6, 4, 10, -13, 14],\n [-5, 12, -18, 12, -2, -22, 5, 3, 10, -13],\n [-4, -18, 19, -12, 23, 3, 4, 11, -6, 4],\n [-5, 12, -12, 27, -14, -9, 17, -21, -20, 18],\n [10, -2, 23, -14, -20, 24, 13, -28, 19, 9],\n [6, ... | 67 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, -3, 17, 5, 9, -6, 5, -18, 29, -24],\n [0, -22, 28, -3, 5, 15, -1, -22, -1, 4],\n [0, 0, -2, -26, -30, 12, 20, -26, 23, -2],\n [0, 0, 0, 18, 6, -7, 21, 30, -4, -22],\n [0, 0, 0, 0, -18, -5, 22, -20, 24, -7],\n [0... | 142 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[30, -16, 19, 18, 4, 19, 0, 3, -6, -4],\n [-16, -20, -5, 4, -20, 2, -14, 10, -6, -1],\n [19, -5, 24, -6, -8, 5, 8, 8, -2, 2],\n [18, 4, -6, -11, -6, 12, 23, 1, -22, -22],\n [4, -20, -8, -6, 7, 9, -5, -2, -10, 16],\n [19, 2, 5, 12... | 74 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 26, -1, 5, -3, 4, -29, 25, 5, -13],\n [0, -22, -3, -23, 22, -23, -26, -18, -24, -10],\n [0, 0, 14, 21, 30, 17, -17, 6, 24, 20],\n [0, 0, 0, 25, -20, 3, 14, -15, -22, -15],\n [0, 0, 0, 0, -18, -26, 28, 16, 8, -13... | 173 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 16, -16, 16, 4, -20, 7, 12, 12, 18],\n [16, -7, 4, 16, -6, 17, -5, 14, -17, 18],\n [-16, 4, 28, 11, -2, 8, -18, -22, 6, -6],\n [16, 16, 11, 23, -4, -4, 14, -16, 14, 4],\n [4, -6, -2, -4, 13, -2, ... | 337 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-17, -1, 8, 26, -26, -19, 4, 10, 11, 30],\n [0, 15, -30, 11, 12, 29, -11, 3, 24, 3],\n [0, 0, -3, -20, -23, 4, 10, 27, -15, 27],\n [0, 0, 0, -11, 25, 21, 21, -20, -23, -11],\n [0, 0, 0, 0, -23, -17, -28, -29, -9, 2],\n [... | 26 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-29, 16, -4, 12, -12, -24, -23, -14, -8, -21],\n [16, 29, -16, 10, -1, -11, 7, -12, -1, -15],\n [-4, -16, 25, 18, 2, -8, 18, -16, 24, -10],\n [12, 10, 18, -30, 11, -14, -14, -12, -2, -8],\n [-12, -1, 2, 11, 20, 10, ... | 379 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 6, -24, -12, 4, 3, 8, -3, 4, -12],\n [6, -18, -10, 15, 2, -8, -18, -20, 8, -3],\n [-24, -10, 4, 0, 20, -16, -2, 26, 8, 16],\n [-12, 15, 0, 24, 18, 3, 0, -18, 2, -2],\n [4, 2, 20, 18, -14, 5, 7, 22, 12... | 77 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[28, -1, 27, 9, 21, 24, -27, 24, 1, 18],\n [0, 3, -10, 0, 28, -17, -5, -9, 3, 2],\n [0, 0, 1, 24, -23, -9, 30, 10, 25, -11],\n [0, 0, 0, -1, -25, 4, -4, -11, 18, 7],\n [0, 0, 0, 0, 11, -16, 9, 12, 17, 27],\n [0, 0, 0, 0, 0, 15, 8,... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, -2, 22, 30, -17, -23, -1, -9, -8, 9],\n [0, -18, -3, -1, -26, -21, 8, -22, -17, 7],\n [0, 0, -20, 9, -25, -14, 5, -25, 30, 16],\n [0, 0, 0, -26, -12, -24, 30, -7, 20, 11],\n [0, 0, 0, 0, 12, 7, -2... | 144 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, 21, 8, 5, 7, 26, -12, -8, -15, -2],\n [21, 0, 0, 2, -10, -14, -13, 0, -20, -3],\n [8, 0, 13, -14, -1, 6, 16, 12, -1, 2],\n [5, 2, -14, 7, -10, -28, -21, -20, -8, -6],\n [7, -10, -1, -10, -14, 7, 18, 4, -12, -13],\n [26,... | 351 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, -26, 24, 4, 16, 22, -8, -22, 21, -11],\n [-26, 14, -3, -8, -8, -12, 10, -8, 13, 2],\n [24, -3, 6, 10, 17, 2, 5, -16, 16, 4],\n [4, -8, 10, 20, -10, 2, 20, 15, -7, 16],\n [16, -8, 17, -10, -25, 12, -2, 6, 8, 2],\n [22, -... | 404 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, -9, -5, 14, -8, 0, 26, 20, -15, -4],\n [-9, -22, 17, -2, 0, 11, 0, -10, -26, 18],\n [-5, 17, -18, 19, -14, -5, 2, 17, -16, -22],\n [14, -2, 19, 23, -4, -24, 0, 12, 4, -4],\n [-8, 0, -14, -4, 23, 1, 22, -3, 3, -19],\n [0, 11, ... | 66 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, -12, 14, 14, 16, -7, -10, -16, -27, 22],\n [-12, -5, 6, -6, -9, -27, 4, -20, -20, -6],\n [14, 6, -26, 24, 20, 21, 0, 16, 0, 17],\n [14, -6, 24, -21, -16, 22, 4, 10, -10, -8],\n [16, -9, 20, -16, -5, -8, -4, 14, -2, -19... | 395 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-26, 22, 29, 27, -18, 28, 15, 30, 25, -17],\n [0, 16, 17, -21, 1, -30, -7, -2, 12, -24],\n [0, 0, -1, -6, -3, 5, 30, -24, 4, 25],\n [0, 0, 0, 19, 25, -1, 25, -30, 7, 10],\n [0, 0, 0, 0, -11, -1, -27,... | 176 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-18, 14, 0, -4, -25, -4, 4, 29, 16, -22],\n [0, -25, -25, 9, -5, 12, -12, -15, 10, -8],\n [0, 0, -2, 7, 28, 18, 17, -11, -10, -3],\n [0, 0, 0, 9, -5, 23, -21, 3, -22, 25],\n [0, 0, 0, 0, -24, 20, 7, -15, 20, -5],\n ... | 165 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, -20, -9, -25, 25, 6, 26, 26, 29, 19],\n [0, -19, -24, -29, 8, 10, -7, -5, -6, -11],\n [0, 0, 11, 13, -29, 11, 4, 2, -14, 27],\n [0, 0, 0, -1, 15, -25, 10, 23, -17, 5],\n [0, 0, 0, 0, -25, -5, -7, 2, -23, 13],\n [0, 0,... | 30 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[15, 18, 8, 6, 0, -18, -10, -3, -10, -4],\n [18, 7, -6, -1, -4, 4, -9, 5, 12, -2],\n [8, -6, -2, -2, 18, 20, -6, -6, -3, -12],\n [6, -1, -2, 3, 8, 3, -16, -6, 20, 0],\n [0, -4, 18, 8, -1, 11, -21, -4, -3, 17],\n [-18, 4, 20, 3, 1... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[28, -8, -6, 12, -4, -1, -24, -14, 20, -10],\n [-8, -7, -11, -6, 0, 10, 12, -4, 26, 20],\n [-6, -11, 1, 1, -14, 16, -2, -16, 22, 3],\n [12, -6, 1, 20, -9, -22, -2, 4, -19, -2],\n [-4, 0, -14, -9, -10, -5, ... | 71 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-12, 15, 18, -6, -16, 4, -17, -14, 8, -2],\n [15, 9, 4, 9, 11, -10, -14, -6, -18, -15],\n [18, 4, 7, 16, 6, -4, 4, -9, 16, -7],\n [-6, 9, 16, 24, -25, 16, 0, -8, 10, -8],\n [-16, 11, 6, -25, -27, -3, 4, 24, 8, -6],\n [4, -10, -4... | 64 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, -26, -3, -8, 20, -10, -10, -28, -10, 13],\n [-26, 6, 26, 21, -7, -6, -12, -18, 13, -16],\n [-3, 26, -27, 11, 6, 22, -14, 23, 11, 4],\n [-8, 21, 11, -5, -8, 10, 3, -2, -12, -2],\n [20, -7, 6, -8, 25, -18, 24, 25, 6, 2... | 77 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, 15, 11, -27, 19, 12, 23, 17, -27, 28],\n [0, 7, -6, -23, -13, 20, -13, 17, 27, -24],\n [0, 0, 28, -28, -9, -16, 0, 5, -5, 17],\n [0, 0, 0, -22, -24, 15, -4, -3, 24, -19],\n [0, 0, 0, 0, -23, -4, 29, 11, -19, 6],\n [0, 0,... | 220 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, -30, -8, -9, 28, 11, -1, -29, 27, -14],\n [0, 19, -11, -22, 26, 29, -20, -14, -17, -13],\n [0, 0, 19, -23, -2, -23, -5, -3, -23, 29],\n [0, 0, 0, -17, -18, 24, 9, -14, 20, -5],\n [0, 0, 0, 0, -24, -14... | 24 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[30, -14, 4, -8, -12, 4, 17, -10, 8, 14],\n [-14, -12, 1, 15, -8, -10, 0, 14, -2, -18],\n [4, 1, -24, 26, 19, 0, -9, 2, -10, -7],\n [-8, 15, 26, 12, -13, -6, -15, 5, -21, -14],\n [-12, -8, 19, -13, -2, 1, 6, 0, 27, 14],\n [4,... | 309 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[28, 7, -14, 13, -26, -29, 10, 3, 23, -11],\n [0, 23, 16, -29, -3, -13, 13, 8, 17, 20],\n [0, 0, 16, 8, 9, 8, -28, -12, -8, -12],\n [0, 0, 0, 8, -12, -26, 24, -18, 3, -7],\n [0, 0, 0, 0, 12, -30, 29, 10, 7, 5],\n [0, 0, 0, 0,... | 175 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, -16, 8, 18, -14, -2, -30, -12, 13, -5],\n [-16, -4, -8, 20, 6, 1, 22, -28, -10, 6],\n [8, -8, 6, 4, 20, 4, 3, 20, 6, -4],\n [18, 20, 4, -18, -6, 2, 0, 24, 16, -2],\n [-14, 6, 20, -6, 20, -6, 10, 14, 2, 0],\n [-2, 1, 4, 2, -6... | 67 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, 8, -6, 14, 2, 24, 6, -18, 26, -2],\n [8, -16, 0, 4, 7, -11, -6, 14, -20, -8],\n [-6, 0, 8, 8, 0, 13, -2, 2, -24, -25],\n [14, 4, 8, -9, -14, -5, -11, 4, 0, -18],\n [2, 7, 0, -14, 26, 13, 2, 11, 12, 22],\n [24, -11, 13, -5, 1... | 66 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, -14, 8, 0, -2, 8, 20, 14, 18, -12],\n [-14, -25, -4, 7, -4, -18, 8, -28, -26, -2],\n [8, -4, -6, -2, -16, 12, 12, -6, 6, -13],\n [0, 7, -2, 27, 18, -12, -9, 26, 6, 6],\n [-2, -4, -16, 18, -20, 17, -1, -8, -2, 10],\n [8,... | 321 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-22, 16, -15, -10, -1, -28, 2, 0, 25, 14],\n [0, -25, -26, -2, 24, 6, 28, 5, -10, -19],\n [0, 0, -8, -17, 12, 23, 11, -21, 30, 29],\n [0, 0, 0, -29, -17, -24, -14, 25, -11, -23],\n [0, 0, 0, 0, -18, 8, 7, -14, -25, -12],\n [0, 0... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[16, 10, 2, 2, -8, -12, -21, 0, 2, -4],\n [10, 9, -8, 6, -3, 7, 18, 2, 17, 2],\n [2, -8, -4, -2, -7, -16, -12, -14, 18, 13],\n [2, 6, -2, 28, 10, 0, -12, -14, -8, 6],\n [-8, -3, -7, 10, 22, 12, 0, -15, -19... | 70 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, -20, 27, -17, -18, -7, 27, -15, -3, -1],\n [0, 10, 8, 11, 30, -4, -14, 19, 26, -5],\n [0, 0, 4, -16, -15, -10, -14, 14, -5, 4],\n [0, 0, 0, -8, -26, -22, -8, -13, -2, -20],\n [0, 0, 0, 0, -29, -8, -10, -21, 7, 28],\n... | 29 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 7, -6, 1, 2, -4, -12, -20, -8, -22],\n [7, -8, 12, 18, -20, -12, 0, 4, -8, -9],\n [-6, 12, -13, -16, 2, 9, 12, 8, -4, 5],\n [1, 18, -16, -3, 1, 7, -6, -2, 7, 13],\n [2, -20, 2, 1, 3, 18, -12, -12, 14, -6],\n [-4, -12,... | 63 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[18, 10, -19, -4, -21, 12, -29, 0, -3, -15],\n [0, -30, -9, 30, -30, 0, -9, 3, -19, 28],\n [0, 0, -3, 21, 19, -19, -4, -8, -30, 29],\n [0, 0, 0, 13, 0, -29, 18, -6, 7, 17],\n [0, 0, 0, 0, -12, 21, 27, -14, -25, -16],\n [0... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-3, 28, -11, -30, -19, -4, 12, -18, 24, -27],\n [0, -25, 23, 26, 14, 25, -9, 14, 7, 23],\n [0, 0, -28, 26, -16, -20, 3, -4, -8, -14],\n [0, 0, 0, 3, -10, 2, -26, 28, 21, -14],\n [0, 0, 0, 0, -28, -5,... | 188 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, -22, 16, 13, -11, 18, -3, 23, -5, 7],\n [-22, 8, 16, -6, -13, -10, 24, 10, 5, 6],\n [16, 16, -24, 20, 2, 11, -3, 4, -13, -8],\n [13, -6, 20, -26, 18, -2, 26, 30, 12, 12],\n [-11, -13, 2, 18, 13, -8, 14, 5, 12, 0],\n... | 83 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -2, 8, 8, -4, -6, 3, -10, 0, 18],\n [-2, -3, -24, -2, -20, -8, 10, -20, 17, 20],\n [8, -24, -5, -8, 14, 10, 8, 2, -10, 20],\n [8, -2, -8, 10, 9, 18, 4, 2, -8, 23],\n [-4, -20, 14, 9, 4, -2, -6, 2... | 359 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, 1, -2, -8, 10, -15, 1, -5, 2, 27],\n [0, -12, 24, 10, -14, 7, 28, -17, -13, -10],\n [0, 0, 8, 11, 17, 8, -3, -11, 29, -25],\n [0, 0, 0, 8, 26, 23, 29, -5, -14, 9],\n [0, 0, 0, 0, 23, -24, 13, -11, -28, 26],\n [0, 0, 0, 0, 0,... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, -24, -4, 12, -4, -6, -16, -18, -15, -18],\n [-24, -30, 18, 16, 2, 12, 14, 15, -6, 7],\n [-4, 18, 16, 6, -18, -14, -9, 21, -6, -10],\n [12, 16, 6, 4, 10, 13, 12, -2, 28, 7],\n [-4, 2, -18, 10, 10... | 417 | MATH |
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