messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -26, 3, 23, -9, -10, -2, -13, -18, 19],\n [-26, 7, 9, 16, -10, 4, -12, 17, 8, 17],\n [3, 9, 20, 4, 10, -6, 6, 17, 2, -8],\n [23, 16, 4, 4, 8, -4, 7, 2, -2, 15],\n [-9, -10, 10, 8, -10, -21, -8, 8, -2, -24],\n [-10, 4, -6, -4... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[27, -6, 8, 5, -13, -2, 2, -12, -6, 14],\n [-6, 10, 16, -18, 0, -15, 5, -8, -5, 6],\n [8, 16, -21, -6, 4, 7, 1, 16, 8, 0],\n [5, -18, -6, -23, -6, 0, 2, 2, 14, 22],\n [-13, 0, 4, -6, -12, -16, -6, -10, -19... | 61 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[15, -18, 1, -6, 7, 15, -8, -4, -20, 2],\n [-18, -27, -14, -14, -7, -12, -14, 21, -6, -11],\n [1, -14, -18, -4, 4, 13, -16, -12, 6, -12],\n [-6, -14, -4, -1, 24, 2, -18, -5, 2, -18],\n [7, -7, 4, 24, -25, 14, -4, 1, 4, -6],\n... | 338 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[14, 12, 23, 4, -2, 12, -10, -6, -13, -14],\n [12, 27, 8, -10, -26, -12, 6, 0, 8, 2],\n [23, 8, -8, -8, -13, -2, 4, -12, -15, -20],\n [4, -10, -8, 18, -8, 2, -10, 5, -4, 14],\n [-2, -26, -13, -8, -30,... | 315 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, -2, 24, 6, 19, 17, 16, 11, -2, -3],\n [0, 2, 28, -5, 7, -16, -29, -19, 2, -16],\n [0, 0, 2, -27, -3, 22, -17, 22, 28, 18],\n [0, 0, 0, -25, 20, -11, 17, -10, -15, -19],\n [0, 0, 0, 0, 14, 2, 19, -29, 3, -5],\n [0, 0, 0, 0, 0,... | 27 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[29, -8, 8, -28, 8, -2, -22, 2, 22, 4],\n [-8, 8, -13, 20, -16, -8, 6, -1, 2, 24],\n [8, -13, 18, 21, 8, 6, -19, 26, 24, 24],\n [-28, 20, 21, -20, 16, -4, 6, -12, -26, 8],\n [8, -16, 8, 16, 27, -8, -12, 18, -2, 2],\n [-2, -8,... | 395 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, 10, 7, 30, -22, -25, -25, 30, 21, -28],\n [0, 4, -15, -29, 5, 10, -24, 4, 25, -1],\n [0, 0, -2, 10, -30, 13, -30, 10, 26, -24],\n [0, 0, 0, 0, -6, 16, 25, -7, -30, 7],\n [0, 0, 0, 0, 18, -28, -19,... | 102 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-17, -2, -30, -23, 16, 13, 28, -12, -8, 8],\n [0, -20, -4, 24, 29, 9, 5, 11, -11, 11],\n [0, 0, 5, 30, 21, -5, 4, 29, -28, 28],\n [0, 0, 0, 19, -3, -12, 12, -3, -13, -17],\n [0, 0, 0, 0, -28, 3, -22, 9, -26, -2],\n [0, 0, 0, 0, ... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[16, 0, -5, 24, 6, 23, 12, 12, 9, 18],\n [0, -24, 25, -10, 9, 11, 14, 10, 6, 6],\n [-5, 25, 22, -9, -21, -8, -8, 9, 12, 3],\n [24, -10, -9, 13, -4, -8, 22, 14, 18, -18],\n [6, 9, -21, -4, 16, 10, -4, 5, -2, 14],\n [2... | 368 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, -12, 8, 5, -3, -13, -14, -1, 14, -4],\n [-12, -27, 3, 14, -2, -14, -8, -8, 18, 6],\n [8, 3, 8, -28, 12, 28, 1, -11, 12, -24],\n [5, 14, -28, 13, -22, -15, 16, -22, -10, 18],\n [-3, -2, 12, -22, -11, 15, 23, -22, -6,... | 81 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, -1, -3, 17, 4, 15, 22, 28, 7, -14],\n [0, 3, 24, -22, -18, -17, -5, 21, -10, 13],\n [0, 0, 20, 11, 19, 4, 17, 0, -13, -17],\n [0, 0, 0, -14, -10, -17, -28, 0, -6, 16],\n [0, 0, 0, 0, 25, -12, -4, -24, -5, -26],\n [0, 0, 0, 0... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-18, 3, 22, 18, 6, 0, 16, -3, -22, -12],\n [3, 15, -19, 12, 16, 20, -16, 15, 9, 22],\n [22, -19, -26, 0, 0, 20, 10, 10, 10, -6],\n [18, 12, 0, 27, 0, 21, 4, -13, 2, -7],\n [6, 16, 0, 0, -19, 22, 14, 10, -11, -20],\n [0, 20, 20, ... | 78 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[19, 18, -27, -9, 15, -23, 16, -15, 2, 2],\n [0, -29, 26, 13, -27, -8, 20, -4, 2, 2],\n [0, 0, -18, -20, -12, 22, 18, 1, -28, 21],\n [0, 0, 0, 26, -12, 0, -11, 22, -7, 1],\n [0, 0, 0, 0, -6, 2, 18, 15, 13, -29],\n [0, 0, 0, 0, 0, ... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-30, -4, -4, -8, 11, -6, 7, -24, -20, -12],\n [-4, 13, -3, -20, -12, 2, 8, -20, -10, 2],\n [-4, -3, -30, -16, -13, -22, -13, -6, -7, -12],\n [-8, -20, -16, 11, -6, -10, 12, 18, -20, 4],\n [11, -12, -13, -6, 1, 0, 1, -25, 7,... | 365 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -21, 9, -18, -10, 3, 13, 1, -22, -1],\n [0, 22, -19, 13, 4, -7, 9, 14, 29, 29],\n [0, 0, 29, -21, 16, -7, 26, 10, -13, 26],\n [0, 0, 0, 12, -18, -15, -17, -22, -22, 20],\n [0, 0, 0, 0, -12, 7, -21, -15, -2, -26],\n [0, 0, 0, ... | 29 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, -20, 28, -28, 30, -29, 25, 27, 15, -5],\n [0, 22, -14, 3, 19, 24, -16, -19, -15, -15],\n [0, 0, 15, -23, 21, -6, 25, -12, -12, 29],\n [0, 0, 0, -2, -4, -26, -5, -1, -17, 2],\n [0, 0, 0, 0, 21, 2, -25, -3, -21, 28],\n [0,... | 176 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, -9, -22, -4, -6, -6, -4, -21, -1, 28],\n [0, -10, 29, -1, 2, 12, -5, 23, -29, -8],\n [0, 0, 16, -11, -6, 14, -30, 23, -29, -25],\n [0, 0, 0, -13, 24, 10, 22, 12, -26, -6],\n [0, 0, 0, 0, -28, 23, -14, ... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 7, -30, 17, -13, 4, -24, 13, 11, -9],\n [0, -6, 11, -8, -22, -4, -20, 20, -4, 9],\n [0, 0, -13, 5, 3, -18, 24, 15, 21, -1],\n [0, 0, 0, 16, -1, 14, 7, -11, -25, 2],\n [0, 0, 0, 0, -16, 1, -17, 11,... | 167 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-21, 14, 4, 29, -1, 6, -20, 10, -24, -4],\n [14, 20, -20, -2, -23, 6, 19, -16, -16, 3],\n [4, -20, 25, 8, -14, 19, -6, 12, -2, 8],\n [29, -2, 8, -26, 16, 2, 7, 0, 20, -5],\n [-1, -23, -14, 16, -10, -29, 13, 6, -7, 18],\n [6... | 402 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, -1, -12, 22, -25, -20, -12, 29, 4, 7],\n [-1, 10, 13, 12, -2, -18, 8, 14, -10, 2],\n [-12, 13, 9, -20, -20, 6, 8, 0, 4, -8],\n [22, 12, -20, -24, -11, 18, -14, -22, -12, 0],\n [-25, -2, -20, -11, 2, 6, 12, 18, -26, -15],... | 359 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[30, -1, -6, 25, 7, -3, 4, 22, 20, -18],\n [-1, -20, -16, 8, 22, -20, -12, -18, -11, 4],\n [-6, -16, -23, 14, -23, 0, 20, 7, -6, -16],\n [25, 8, 14, 12, -18, 0, 2, 0, 13, -14],\n [7, 22, -23, -18, 1, -24, -4, 2, 16, -18],... | 69 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -14, 3, 10, -16, -6, 4, -13, 13, -14],\n [-14, -25, 8, 10, 2, 17, 26, 24, -4, -9],\n [3, 8, -9, -2, 6, -17, -2, 0, -6, 2],\n [10, 10, -2, -21, 6, -6, 0, -11, 14, 6],\n [-16, 2, 6, 6, 0, 12, -14, 17, -13, -10],\n [-6, 17... | 321 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[22, 8, 0, 0, 26, 6, -19, 9, 17, 26],\n [8, 1, 0, -10, 25, 4, -16, 0, -16, 0],\n [0, 0, 24, -2, 1, -8, 6, -12, -8, -11],\n [0, -10, -2, 23, -6, -11, 0, 0, -6, 10],\n [26, 25, 1, -6, -19, 9, 14, -11, 5, 2],\n [6, 4, -8, -11, 9... | 351 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-30, 8, 2, 1, 6, 24, -2, -2, -2, 6],\n [8, 20, -6, 2, -14, -10, 4, -9, 8, -2],\n [2, -6, -22, 18, 4, -13, -2, 26, -5, -10],\n [1, 2, 18, 24, 10, 6, 8, 26, 6, -2],\n [6, -14, 4, 10, -3, 5, 4, 6, -22, ... | 377 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-30, -21, -18, 10, 1, -17, 2, -1, -22, -25],\n [0, -20, 8, -11, -6, 29, 23, -19, -9, -19],\n [0, 0, 17, 23, 5, 30, 24, -17, -29, -29],\n [0, 0, 0, -25, -6, -28, -8, -22, 0, -3],\n [0, 0, 0, 0, -16, 12, 9, -15, -8, 18],\n [0... | 176 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, -23, 13, -14, -19, -16, -26, 3, 21, 19],\n [0, -26, 3, -22, -7, -26, -4, 18, 22, -11],\n [0, 0, 10, -29, -8, 3, 30, -2, 12, 29],\n [0, 0, 0, -21, 25, 3, -30, -25, -25, 12],\n [0, 0, 0, 0, 27, -4, 11,... | 27 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, -8, -12, -28, -16, 12, 16, 28, 2, 2],\n [-8, 12, 8, 22, 24, 0, -7, -12, 6, -20],\n [-12, 8, -17, -12, 4, -27, -13, -3, 6, 7],\n [-28, 22, -12, -15, -12, 10, 14, -24, -4, 14],\n [-16, 24, 4, -12, 6, 2, -18, -4, 8, 11],\n [12, 0... | 76 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 25, -9, 12, 10, -14, -5, -16, 9, -13],\n [0, -28, 23, 24, 20, -17, 3, 2, 6, 18],\n [0, 0, 17, 4, -21, -12, -20, 24, 4, -29],\n [0, 0, 0, 21, 10, 16, -3, -29, -1, 7],\n [0, 0, 0, 0, -19, -27, -7, 29, -6, -5],\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[[-15, 12, 6, 6, 18, 10, 12, 18, -8, -15],\n [12, -20, 13, 5, -16, 26, 10, -26, 14, 12],\n [6, 13, 15, 8, -4, 12, -12, -22, -12, -10],\n [6, 5, 8, 30, 16, 1, -10, 2, 6, 14],\n [18, -16, -4, 16, 22, -1,... | 366 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, 11, 26, 8, 13, -17, -9, -16, -20, 2],\n [11, -23, -18, -10, -12, 0, 17, 6, -6, 28],\n [26, -18, 30, -2, 8, -18, -4, -18, -2, 6],\n [8, -10, -2, 12, -21, -24, -2, 18, 2, -12],\n [13, -12, 8, -21, -22, -1, -6, 8, 11, 1... | 77 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, 2, -22, 11, -14, 6, -6, -14, -19, 20],\n [2, -11, -2, -3, -16, 4, -12, -6, 8, -10],\n [-22, -2, 27, 4, -9, 4, 10, -2, -21, -4],\n [11, -3, 4, -7, 0, -6, -8, -4, 4, -11],\n [-14, -16, -9, 0, 5, 3, 14, -11, 17, -2... | 342 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-19, -14, 22, 22, 7, -10, -12, -7, -3, 0],\n [-14, -4, 3, -4, 4, -23, 3, 0, -2, 9],\n [22, 3, -9, 9, -2, -20, -6, 10, -18, 22],\n [22, -4, 9, -29, -10, -8, 10, 8, 14, -10],\n [7, 4, -2, -10, 12, -16, 28, ... | 69 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-13, 6, -8, -6, -17, -16, -2, 8, -20, -3],\n [6, -1, 13, 9, -2, -26, -8, 22, -12, 28],\n [-8, 13, 17, 10, -4, 18, -22, -10, 3, -18],\n [-6, 9, 10, -9, -8, 11, -7, 6, 0, 1],\n [-17, -2, -4, -8, -29, -12, 10, -9, -7, -3],\n [-... | 318 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 3, 24, 19, -9, -2, 22, -23, -9, -19],\n [0, 7, 25, -29, -19, 24, -10, -19, 14, 0],\n [0, 0, 1, 12, -22, -7, -23, 21, -3, 25],\n [0, 0, 0, 5, 22, 6, 1, -10, 8, 18],\n [0, 0, 0, 0, 17, -22, 13, 20, ... | 152 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, 10, 8, -12, -2, -7, 23, -14, -8, -14],\n [10, -17, -2, -2, 10, -22, 14, -23, 18, -10],\n [8, -2, -4, -6, 12, -8, -10, -2, 16, -8],\n [-12, -2, -6, 8, -1, 0, 18, 2, -2, 25],\n [-2, 10, 12, -1, 19, -5, -2, -24, -14, 4],... | 66 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-28, 2, 20, -7, -1, 9, 17, -3, 16, 8],\n [0, -18, 6, -21, 9, -18, -12, -25, -13, 9],\n [0, 0, -27, 23, 19, -25, -20, 24, 23, 11],\n [0, 0, 0, 22, -28, -29, -13, -29, -5, -19],\n [0, 0, 0, 0, -17, -29, -10, -24, 22, -20],... | 28 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[28, -2, -6, -9, 11, 0, 18, 28, -14, -8],\n [-2, 14, 16, 4, -12, -6, -11, 1, -4, 4],\n [-6, 16, 26, -16, -16, -8, -12, 2, 12, 4],\n [-9, 4, -16, -28, 6, 13, 10, -15, -4, -2],\n [11, -12, -16, 6, -24, -14, -18, -8, -17, -8... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[21, 5, 8, -4, 14, -12, 8, -20, 20, 22],\n [5, -1, 4, -23, 2, -9, -16, -10, -10, 14],\n [8, 4, 23, -4, -18, 9, 8, 8, 4, 6],\n [-4, -23, -4, -26, 0, 10, -17, -5, -8, -6],\n [14, 2, -18, 0, -12, -25, -2... | 368 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-16, 0, 5, 18, 10, -16, 2, 0, -4, -29],\n [0, 12, 20, 28, -30, -12, -22, 29, -29, 6],\n [0, 0, -30, 15, -19, 24, -5, -21, 20, 16],\n [0, 0, 0, 12, 0, -20, -26, 4, -20, -27],\n [0, 0, 0, 0, 25, 5, 15, -3, -23, -11],\n [0, 0, 0, 0... | 30 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-25, 15, 1, -26, -16, 14, -15, 17, -14, 28],\n [0, 25, 6, 12, -16, 4, -23, 4, 30, 5],\n [0, 0, 24, -8, -11, 26, -25, -7, -8, 5],\n [0, 0, 0, 1, -2, 19, 15, 9, 9, 13],\n [0, 0, 0, 0, -14, -21, -30, 27, 12, 22],\n [0, 0, 0, 0... | 153 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-17, -4, -17, 21, 4, -5, 24, -10, -10, -5],\n [-4, 30, 25, -27, 6, -16, -18, -12, 28, -5],\n [-17, 25, 27, 20, -2, -22, -13, 16, -4, -18],\n [21, -27, 20, 15, -2, -16, -14, -14, -4, 25],\n [4, 6, -2, -2, -17, -5, -9... | 407 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, -12, -6, -2, 22, -14, -2, -5, -2, 6],\n [-12, -29, -13, 0, 25, -1, -27, 4, 1, -24],\n [-6, -13, 25, -18, -11, -10, 10, 20, -2, 14],\n [-2, 0, -18, 15, 4, -2, -26, -24, 15, -13],\n [22, 25, -11, 4, 20, -10, -6, -16, -24... | 360 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[21, 9, 9, 10, 15, -7, -15, 2, 0, -4],\n [9, 14, 12, -4, 6, 10, -18, 14, 10, -5],\n [9, 12, -1, 26, 11, -12, -12, 18, -16, -7],\n [10, -4, 26, 18, -8, 4, -23, 4, -26, 0],\n [15, 6, 11, -8, -11, -2, 14, -27, 17, 2],\n [-7, 10, -12,... | 85 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, -10, -3, 14, -13, 8, 14, 4, 12, -6],\n [-10, 13, -10, 4, 0, -18, 6, -1, -13, 1],\n [-3, -10, -18, 12, 26, 2, 18, 10, 0, 7],\n [14, 4, 12, 8, 13, -14, 2, 2, 2, -8],\n [-13, 0, 26, 13, -3, -4, 12, -6, 4, 1],\n [8, ... | 332 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, -8, -21, -2, -10, 3, 17, -24, 24, 18],\n [-8, -28, 18, -13, 0, 18, -24, 22, 0, 8],\n [-21, 18, -15, 2, 16, 27, -5, 5, 0, 28],\n [-2, -13, 2, 30, 3, 22, 2, 4, 20, 8],\n [-10, 0, 16, 3, 17, 4, 0, 19, 0, -12],\n [3, 18, ... | 77 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -5, -22, -1, -27, -22, -20, 4, -4, 8],\n [-5, 20, -3, 8, -23, -8, 14, 24, -17, -22],\n [-22, -3, 6, 3, -8, 20, 10, 14, 18, -18],\n [-1, 8, 3, -8, -2, 20, 0, -18, -11, 16],\n [-27, -23, -8, -2, -22, -16, 14, 7, -20, -7],\n [-22... | 72 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, -5, -21, 6, 28, -13, -4, -14, -21, -20],\n [0, -7, -12, 13, -15, -8, 25, 28, -19, 23],\n [0, 0, -12, -6, -28, -18, -10, -9, 16, -2],\n [0, 0, 0, -8, 28, -19, 18, 23, -8, -26],\n [0, 0, 0, 0, 4, -14, -1, 25, -29, -16],\n [0, ... | 21 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 0, -6, -22, 14, -18, 2, 2, 4, -12],\n [0, -21, 4, -8, 5, -18, 8, -14, -18, -4],\n [-6, 4, -21, -14, 2, -1, 14, 2, -2, 18],\n [-22, -8, -14, 30, -4, 10, 7, -26, 24, 11],\n [14, 5, 2, -4, 4, 1, -8, 20, -18, 21],\n [-1... | 74 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-19, 0, 12, -15, 24, -23, 4, 4, -2, -27],\n [0, -2, 6, 19, -5, 6, 26, 20, -2, -4],\n [12, 6, 22, 4, 18, 4, -21, -6, -14, 6],\n [-15, 19, 4, 6, 2, -15, -14, 12, -5, 16],\n [24, -5, 18, 2, 7, -12, 24, -11, 9, 22],\n [... | 388 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-30, 3, -10, -21, -26, -5, 13, -12, -10, 26],\n [0, -2, 7, -16, 9, -15, 20, -13, 28, 18],\n [0, 0, -20, 5, 1, -3, -25, -24, 30, 9],\n [0, 0, 0, -14, 13, -23, -19, -5, -14, 4],\n [0, 0, 0, 0, -20, -15, 27, 11, -1, 29... | 136 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-3, -9, -14, -2, 22, 6, 10, 13, 6, -13],\n [-9, 25, 2, -4, 9, 12, -13, -13, 13, 24],\n [-14, 2, -12, -4, -16, 18, -4, -14, 18, 2],\n [-2, -4, -4, -13, 27, -7, -8, -6, 15, -2],\n [22, 9, -16, 27, -1, -22, 4, -12, -6, -2],\n [... | 364 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, 28, -13, 22, 0, 4, -27, -22, 14, -16],\n [0, 28, -10, 1, -22, 17, 1, -15, 14, -26],\n [0, 0, -6, 25, -30, 30, -28, -10, -3, -28],\n [0, 0, 0, 18, -1, 28, 19, -18, 3, 17],\n [0, 0, 0, 0, -17, 1, -25, 12, -14, -23],\n ... | 28 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[29, 16, 10, -2, -28, -15, 16, -5, -2, -18],\n [16, 9, -3, 25, -22, -17, -26, -22, -16, 0],\n [10, -3, 28, 10, -5, -23, 12, -10, 9, -10],\n [-2, 25, 10, 5, 8, 19, 0, 8, -1, -14],\n [-28, -22, -5, 8, -9, 15, -1, 4, -10, 0],\n [-15,... | 87 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-12, 10, -13, 1, 3, -12, -8, -19, -18, -2],\n [10, 24, -11, 25, -1, -14, -8, 6, -6, -5],\n [-13, -11, 10, 26, -24, -1, -20, -18, -13, -18],\n [1, 25, 26, -4, 18, -8, -8, -9, 0, -4],\n [3, -1, -24, 18, -28, -16, 0, -10, 6, 8],\n [... | 76 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, -18, -10, 8, -25, -22, -12, -2, -13, 22],\n [-18, 29, 6, 4, -3, 11, 24, 0, 5, -24],\n [-10, 6, 13, -23, -6, -10, 7, -12, 4, 17],\n [8, 4, -23, -9, -24, -6, -6, 12, 16, 5],\n [-25, -3, -6, -24, -17, -15, 9, -22, 9, 14],\n... | 361 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[15, -30, 26, -6, -11, -14, 18, -9, 19, 2],\n [0, -4, 29, 3, -8, -15, -17, 21, 24, 24],\n [0, 0, 19, 10, -17, 14, -5, 15, 27, 20],\n [0, 0, 0, -27, -22, 25, -4, 12, 8, -16],\n [0, 0, 0, 0, -1, 6, -15, 22, -19, -14],\n [0,... | 27 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, 4, 29, -10, 6, -4, 2, 23, -20, -9],\n [4, 0, 4, 1, -4, 0, -3, -14, -23, 16],\n [29, 4, -11, -3, -4, -8, -2, -6, -24, -11],\n [-10, 1, -3, -22, 18, 4, -30, 0, -6, -16],\n [6, -4, -4, 18, 28, -2, 14, -4, -10, 15],\n [-4, 0... | 375 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, 3, 8, -22, -12, 23, 4, -12, 1, 1],\n [3, 26, -12, 4, -2, -7, -12, -14, -28, 26],\n [8, -12, 9, -10, 11, 18, 8, -2, 28, 11],\n [-22, 4, -10, 0, 2, -2, -12, 3, -19, 2],\n [-12, -2, 11, 2, -17, -6, 18, -16, 12, -12],\n [23, -7,... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-16, 7, -6, 30, -9, -8, 19, -21, 5, 6],\n [0, 28, 11, 11, 11, -24, 21, 15, -6, 9],\n [0, 0, -7, -26, 26, -10, 9, -11, -2, 6],\n [0, 0, 0, -27, -20, 22, -9, 21, 12, -17],\n [0, 0, 0, 0, -15, 7, -8, -18, 24... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[24, -22, -27, 11, 15, -21, 1, -30, -8, 20],\n [0, 21, -1, -4, 26, -16, 23, 7, -24, 2],\n [0, 0, 21, 8, 3, 22, 24, -28, 1, -29],\n [0, 0, 0, 22, -19, 29, -26, -27, 25, -15],\n [0, 0, 0, 0, 22, -22, -15, 4, -2, 18],\n [0, 0, ... | 206 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, -12, 5, 24, 4, -1, -9, -12, -12, -24],\n [-12, 8, 0, 2, 2, 10, 0, -22, -8, 4],\n [5, 0, -19, 11, -4, -4, -10, 0, 6, -4],\n [24, 2, 11, 13, -14, -13, 18, -4, -19, 12],\n [4, 2, -4, -14, -1, 14, 20... | 333 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -10, -10, -5, -10, 17, -12, -10, 0, -16],\n [-10, -11, 12, 4, -9, -26, 6, -2, -15, 12],\n [-10, 12, 23, 2, 22, -20, 17, -6, -4, -11],\n [-5, 4, 2, -20, 5, 17, 4, 24, -12, 24],\n [-10, -9, 22, 5, 23, 12, 13, 14, 5, 12],\... | 357 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, -6, 16, 23, 9, 26, 26, -23, 30, -27],\n [0, 25, 1, 3, 17, -28, 10, -5, -27, -29],\n [0, 0, -6, 16, -24, -23, -28, -8, 16, 2],\n [0, 0, 0, 4, 3, -1, 16, 5, 28, -17],\n [0, 0, 0, 0, -17, -16, 25, 6, -7, 3],\n [0, 0, 0, 0,... | 161 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 6, 14, -16, 24, -15, -10, 20, 24, 4],\n [6, 24, 2, 4, 6, 14, 13, 22, 10, -27],\n [14, 2, -29, 4, 2, 6, 4, -8, -16, -6],\n [-16, 4, 4, 25, 12, 2, -24, 14, 14, -4],\n [24, 6, 2, 12, -24, -1, 8, 2, 3, 24],\n [-15, 14, 6, 2, -1, -... | 76 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[28, 2, -1, -10, -12, -16, 8, 8, 19, 12],\n [2, 12, 18, 13, -2, -24, 20, 7, -6, 6],\n [-1, 18, -3, 0, 12, 4, 6, -3, 14, -4],\n [-10, 13, 0, 5, -10, 14, 16, 6, 8, 17],\n [-12, -2, 12, -10, -21, 0, -7, -22, 6, -20],\n [-16, -24, 4, ... | 76 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-13, 13, 29, -8, 22, -29, 11, 13, 20, 6],\n [0, 1, -30, 8, -30, 23, 29, 23, 18, 13],\n [0, 0, -23, -28, 16, -19, 27, 18, 3, 18],\n [0, 0, 0, -16, -10, -6, 17, 26, 7, 6],\n [0, 0, 0, 0, 21, 6, 14, -17, 26, 3],\n [0, 0, 0, 0, ... | 144 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, -27, -26, 17, -29, 0, -4, -7, 25, 14],\n [0, -27, -3, -26, -4, 13, 16, -26, -26, 17],\n [0, 0, 16, -4, -27, 18, -7, -4, -30, 1],\n [0, 0, 0, 30, -11, -14, 5, 24, 14, -23],\n [0, 0, 0, 0, -1, 12, ... | 166 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, -5, 18, 16, 4, 23, -24, -16, 11, -14],\n [-5, 15, -1, 11, 14, 20, 1, 2, 3, 0],\n [18, -1, -26, 28, -23, -10, 18, 6, 11, 18],\n [16, 11, 28, 17, -14, 1, -2, 7, -6, -4],\n [4, 14, -23, -14, 12, 4, 12, -8... | 71 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, -9, -6, -13, 19, 16, -10, 14, 3, 2],\n [-9, 7, 0, -9, 2, -1, -14, 24, 1, 13],\n [-6, 0, -25, -8, 0, 2, 16, 8, -8, -2],\n [-13, -9, -8, -28, 24, 23, -9, -10, 20, -2],\n [19, 2, 0, 24, -9, 12, 6, 17, 2, -4],\n [16, -1, 2, ... | 343 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[7, -6, 13, 29, 14, 19, 24, 24, -17, -7],\n [0, 12, 26, 25, -29, 20, 29, 3, 18, 30],\n [0, 0, -26, 27, -2, 12, 26, 21, 2, -11],\n [0, 0, 0, 29, 17, 25, 6, 29, 11, 10],\n [0, 0, 0, 0, 4, -22, -9, -11, 9, -27],\n [0, 0, 0, 0, 0, 29,... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[30, -4, 10, 0, 8, 2, -14, -11, 0, -14],\n [-4, -18, -22, -5, -16, -20, 23, -10, 4, -1],\n [10, -22, -15, -26, -2, -2, 21, 22, 15, 12],\n [0, -5, -26, 0, -8, 2, 13, 8, -28, -30],\n [8, -16, -2, -8, -1... | 393 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-20, -10, -10, -16, -12, -13, -10, 0, 9, -6],\n [-10, 19, 9, -18, 13, 4, -2, 8, -14, -12],\n [-10, 9, -7, 14, -4, -15, 0, -9, 1, -6],\n [-16, -18, 14, 9, -16, 1, -14, 16, -22, -2],\n [-12, 13, -4, -16, -17, 2, 6, 2, 19, ... | 55 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 26, 0, 1, 0, -16, -8, -14, 26, 3],\n [26, -30, -17, -6, -12, -10, -14, 0, -2, -26],\n [0, -17, 3, 9, 24, 13, -8, 9, -12, 15],\n [1, -6, 9, 1, 6, -8, 20, 10, 5, -5],\n [0, -12, 24, 6, -2, 10, 13, -9, 2, 8],\n [-16, -10, 13, -8... | 69 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, -4, -16, 12, 12, 2, 22, 10, 8, -10],\n [-4, 10, -22, -10, -2, 12, -6, -18, -1, -10],\n [-16, -22, 23, 0, -11, -20, 0, 8, 24, -24],\n [12, -10, 0, -14, -2, -10, -8, 4, 22, 25],\n [12, -2, -11, -2, -3, -30, 6, 17, 0, 10],... | 368 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[17, -26, -29, -20, -27, -9, -30, 14, 19, -15],\n [0, 10, -4, -19, -26, -26, -9, -18, -15, -5],\n [0, 0, 17, 1, -12, 5, -3, -16, -22, -15],\n [0, 0, 0, -23, 2, 1, 15, 5, 11, 28],\n [0, 0, 0, 0, -18, 12, -21, 26, 7, -24],\... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, -12, 2, -12, -6, 13, -10, -8, 8, 8],\n [-12, -12, 27, 8, -14, 0, -18, -12, 6, 10],\n [2, 27, -26, -24, 19, -13, 1, 0, 18, -18],\n [-12, 8, -24, -15, -6, 12, -12, 17, -14, -16],\n [-6, -14, 19, -6... | 361 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 1, -6, -13, 16, 11, 18, -26, 27, 0],\n [1, -16, 3, -4, -1, -4, -10, 7, -14, -1],\n [-6, 3, 10, -18, 15, -2, -8, -5, 14, 4],\n [-13, -4, -18, -23, 0, -20, -23, 2, 1, 8],\n [16, -1, 15, 0, 15, 2, 14... | 309 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, -1, 19, -16, -18, 20, 0, 26, -3, -10],\n [-1, -28, -8, -10, 16, -4, -8, -1, 1, 7],\n [19, -8, -9, -2, -2, 15, 23, -2, -14, -14],\n [-16, -10, -2, 5, -13, 4, 3, 7, 7, -8],\n [-18, 16, -2, -13, -12, 2, 14, 0, -11, 16]... | 73 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-30, -9, 2, 8, -5, -2, -6, 3, -18, 7],\n [-9, 29, 6, -8, 18, 0, 14, -14, 16, 10],\n [2, 6, 29, 11, -5, 25, -12, -10, -8, -10],\n [8, -8, 11, -25, -5, 20, 8, -16, 6, 19],\n [-5, 18, -5, -5, -1, -7, -8, 12, -7, 16],\n [-2, 0, ... | 344 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-27, 2, -8, 6, -6, -14, -6, 10, 4, 7],\n [2, -26, -4, 22, 8, 16, 14, -14, 9, 28],\n [-8, -4, -14, -4, -19, -18, 0, 8, -9, 13],\n [6, 22, -4, -19, 14, -3, 2, 9, -8, -4],\n [-6, 8, -19, 14, 18, 21, 4, 10, -10, 1],\n [... | 334 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, 4, -4, -11, 10, 15, 22, 10, 4, -10],\n [4, -3, -1, -5, -8, -20, -20, 6, 10, 5],\n [-4, -1, 4, 3, 19, -16, 5, 8, 23, -6],\n [-11, -5, 3, -8, -10, 6, 2, -6, 9, -22],\n [10, -8, 19, -10, 18, -14, 0, 4, -12, 16],\n [15, -20, -16,... | 69 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-13, 23, -22, 15, -19, -22, -30, -24, 8, 11],\n [0, 1, -3, -5, 5, 30, 9, 23, 28, -17],\n [0, 0, -15, 8, 11, -20, -20, 7, 26, 28],\n [0, 0, 0, -22, -9, 7, -22, 27, 26, -28],\n [0, 0, 0, 0, 26, -5, -23, 23, 1, -9],\n ... | 152 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -7, -12, 7, -12, 4, -25, -8, -16, -3],\n [-7, 20, 6, -11, -6, -2, 8, 14, -6, 16],\n [-12, 6, 17, 6, -11, -24, -12, -24, 2, 22],\n [7, -11, 6, 26, -10, -8, 4, 8, -1, 2],\n [-12, -6, -11, -10, 16,... | 375 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, -2, 13, -17, -1, -6, 9, 4, 6, 23],\n [0, 19, 7, -13, -23, -24, 3, 5, 24, 10],\n [0, 0, -21, 27, 9, -2, -15, -6, -2, -23],\n [0, 0, 0, 24, 21, -4, -18, -5, 11, 24],\n [0, 0, 0, 0, -5, -19, -5, 16, -9,... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-18, -8, -18, -1, 0, -6, 0, 24, -12, 6],\n [-8, 0, 4, 12, -10, -1, 4, -8, 0, -2],\n [-18, 4, 25, 10, 22, 0, 24, -8, -14, 20],\n [-1, 12, 10, -17, 0, 4, -6, -15, -12, -17],\n [0, -10, 22, 0, 6, 22, 2, -13, 0, 11],\n [-6, -1, 0, 4... | 69 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[19, 12, -25, -14, 11, -12, 16, 17, 24, -3],\n [0, -2, 18, 23, -24, -12, 28, -23, -23, -26],\n [0, 0, 19, -10, -27, 13, 5, -26, 18, -8],\n [0, 0, 0, -16, 27, -17, 17, -23, -22, 9],\n [0, 0, 0, 0, 24, 1, 13, 5, 14, -10],\n [0, 0, ... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, -21, 15, -5, 28, -8, -14, -1, -4, -20],\n [0, -13, -12, 5, 13, 15, 19, -5, -30, 28],\n [0, 0, -20, 28, -6, 29, 26, -12, 1, -30],\n [0, 0, 0, 15, 9, 1, 16, 5, 12, -23],\n [0, 0, 0, 0, -23, -6, -5, -4, 23, -12],\n [0, ... | 23 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, 4, 7, -15, 4, 19, -7, 5, -26, -22],\n [0, 30, 2, -4, -9, 28, -20, -26, -21, -28],\n [0, 0, 28, 15, 6, 9, -14, -11, 20, -27],\n [0, 0, 0, 3, -28, -3, 10, 6, 21, -2],\n [0, 0, 0, 0, 28, -21, -14, -1, 23, 21],\n [0, 0, 0, 0,... | 141 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, 1, -8, 8, -13, -2, 5, 2, 12, 4],\n [1, -19, 20, 6, -20, -13, 17, 6, 6, -9],\n [-8, 20, 1, -1, 0, 24, -26, 4, 9, 17],\n [8, 6, -1, 22, 16, 0, 8, -7, 2, -14],\n [-13, -20, 0, 16, -25, -16, 6, -8, 3, 0],\n [-2, -13, 24, 0,... | 282 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, 10, 2, -3, -22, 14, 12, 15, 2, -3],\n [10, 29, 7, -3, 4, -2, 4, 5, 24, -10],\n [2, 7, -15, 1, 18, -12, -25, -10, -6, -20],\n [-3, -3, 1, -21, -4, -10, -8, -10, -4, 8],\n [-22, 4, 18, -4, -25, -16, -6, 0, -11, -13],\n [1... | 355 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -8, -16, -6, -18, -8, -13, 8, -2, 17],\n [-8, -13, 14, 2, 0, -8, -3, -1, -21, 24],\n [-16, 14, 28, -16, -18, -10, -28, -2, 4, 10],\n [-6, 2, -16, 16, 28, -23, -12, 3, 14, -1],\n [-18, 0, -18, 28, 0, 21, 7, 17, -8, -23],\n [-8... | 85 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, 8, -4, -22, 30, -14, 29, 10, 11, 14],\n [0, 15, -27, -17, -2, -20, 29, -9, 11, -26],\n [0, 0, -10, -16, -7, -18, 1, -5, 9, -5],\n [0, 0, 0, 16, -22, -7, 29, 7, -13, -22],\n [0, 0, 0, 0, -24, -19, 5, 27, -20, -28],\n [0, ... | 182 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-30, 20, 4, -14, 17, 0, -22, 0, 8, -16],\n [20, -6, -17, -18, 20, -10, 6, 5, 8, 4],\n [4, -17, 24, -5, -4, -10, -3, 8, -20, -8],\n [-14, -18, -5, 24, 14, 23, -16, 0, -12, -4],\n [17, 20, -4, 14, 9, -23, 0, -9, -6, 12],\n [0, -10... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-16, 23, -8, -12, 8, -4, 12, -2, 18, 10],\n [23, 15, 22, 10, 9, 1, -12, 13, 22, -9],\n [-8, 22, -10, 12, -8, 16, -8, -2, -13, 20],\n [-12, 10, 12, 28, 3, -6, 14, -8, 6, -4],\n [8, 9, -8, 3, -3, -2, -26, -... | 65 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, -30, -7, 5, 28, -25, -21, 16, 9, 15],\n [0, -7, -8, -11, 29, 22, 7, 4, 3, 15],\n [0, 0, 5, -15, -8, 13, 18, -30, 21, -22],\n [0, 0, 0, -14, -28, 28, 7, -2, 0, 4],\n [0, 0, 0, 0, -5, -18, 22, 26, -12, 1],\n [0, 0, 0, ... | 21 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, 12, 1, -4, -2, -28, -4, 0, 12, -1],\n [12, -26, 14, 12, -1, 4, 23, 15, -12, 20],\n [1, 14, 26, 16, 22, -9, -19, -18, -6, -2],\n [-4, 12, 16, 8, -20, -22, 6, -8, 12, 18],\n [-2, -1, 22, -20, 12, 5, 4, -23, 2, -10],\n [-28, 4,... | 76 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, -24, 18, 7, 18, 22, 14, 21, 2, -2],\n [-24, -12, 7, 10, 9, 2, 0, -13, 9, -19],\n [18, 7, -15, -20, -4, 15, 0, 28, 4, -4],\n [7, 10, -20, 20, 28, -21, -6, 18, -8, 10],\n [18, 9, -4, 28, -10, -12, -12, -28, 6, -20],\n [22... | 379 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 5, 26, 12, 18, 22, -30, -22, -19, -8],\n [0, 11, -22, 22, -5, -1, 26, -11, -15, -18],\n [0, 0, -27, 20, -6, -18, 29, -3, 14, -19],\n [0, 0, 0, 3, -28, -9, -10, -4, -10, -9],\n [0, 0, 0, 0, -7, 15, -14, -26, 7, 28],\n [0, ... | 129 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[11, 13, 0, 23, 21, -20, 5, 13, 13, 1],\n [0, 9, 21, 15, 8, -28, 29, -3, -6, -3],\n [0, 0, -12, 11, 13, -2, 19, -12, 25, -13],\n [0, 0, 0, -7, 7, -15, -13, 29, 10, -18],\n [0, 0, 0, 0, -12, -7, 2, 2, ... | 140 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 10, -7, 22, -17, 5, 14, -14, -26, 26],\n [10, 1, 20, -11, 4, -2, -12, -12, 5, -4],\n [-7, 20, -13, -13, -10, 7, -4, 4, 8, 4],\n [22, -11, -13, 0, -12, 5, -6, 0, -26, 8],\n [-17, 4, -10, -12, -15, -22, 18, 7, -7, -4],\n [5... | 336 | MATH |
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