messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-12, -22, 4, -27, 14, 11, 1, 15, -25, -3],\n [0, 9, 20, -2, 11, 23, -26, -26, 6, 10],\n [0, 0, -3, 10, 16, -22, -2, -17, 7, 23],\n [0, 0, 0, 6, 18, 11, -17, -13, 2, 23],\n [0, 0, 0, 0, 17, 6, -8, 11, -14, 29],\n [0, 0, 0, 0,... | 85 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -19, 26, -2, -4, -25, -10, -24, 12, 10],\n [0, -26, -16, -10, 27, -27, -26, -24, 4, 5],\n [0, 0, -3, -29, 25, 26, -26, -24, -9, 18],\n [0, 0, 0, 10, 11, -20, -30, 16, 9, -12],\n [0, 0, 0, 0, 6, 2... | 159 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 27, 22, -23, -22, 14, -14, 10, -18, -22],\n [0, -4, 11, 6, 8, 12, -7, -22, 26, 11],\n [0, 0, -2, -23, -14, -24, -19, 17, -16, 22],\n [0, 0, 0, 19, -7, 6, -17, 29, -20, 4],\n [0, 0, 0, 0, 13, -28, 24, 29, -29, -27],\n [0, 0, 0... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-29, -2, 0, -20, 14, 0, -20, -20, -12, -16],\n [-2, -28, 8, -4, 2, 10, -12, 3, -21, 5],\n [0, 8, -20, -12, 12, 16, 2, 10, -13, -16],\n [-20, -4, -12, 3, 8, 3, 26, 0, -2, -2],\n [14, 2, 12, 8, -6, 18, -27, 26, 14, -2],\n [0,... | 395 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, 14, 18, -8, -12, 8, 10, 18, 16, 7],\n [14, -20, 1, -18, 8, 3, -7, -23, -12, -20],\n [18, 1, -10, -6, -25, -20, -8, -2, -2, -9],\n [-8, -18, -6, 21, 10, -16, -1, 8, -12, -18],\n [-12, 8, -25, 10, -10, 14, -10, 10, 21, 18]... | 361 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -10, 8, 0, 26, -26, 24, -12, -16, 13],\n [-10, -29, -4, -4, 8, -8, 24, -2, -1, -21],\n [8, -4, -24, 8, -2, 1, -2, -6, -15, -14],\n [0, -4, 8, -15, -2, -27, -10, -13, -12, 2],\n [26, 8, -2, -2, 11... | 405 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, -12, 18, -4, 7, 5, -6, 18, -10, 24],\n [-12, 16, 0, 2, -8, -27, 11, -10, 10, -15],\n [18, 0, -15, 6, -18, -9, 6, -20, 26, 1],\n [-4, 2, 6, -10, 0, 10, -4, -6, 4, 0],\n [7, -8, -18, 0, -20, 6, 20, -22, 10, 0],\n ... | 348 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 2, 0, 15, 30, 10, -13, 7, 16, 0],\n [0, 9, 20, 6, -17, 8, -27, -1, 29, 22],\n [0, 0, -1, -17, -8, 17, -3, 27, -24, 11],\n [0, 0, 0, 7, -18, -10, 2, 9, -3, -8],\n [0, 0, 0, 0, 27, -5, 8, -5, -28, -7],\n [0, 0, 0, ... | 139 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-29, -3, 12, 3, 8, 2, -2, -11, -6, 0],\n [-3, -14, -14, -18, 6, -10, 8, 0, 10, 1],\n [12, -14, -8, 14, -5, 8, 14, -14, -18, 1],\n [3, -18, 14, -2, 2, -18, -4, 25, 9, 15],\n [8, 6, -5, 2, 6, 6, 21, -1... | 345 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, 25, -8, -2, -18, -4, 2, -9, -22, -10],\n [25, -17, -3, 12, 16, -14, -8, -21, -8, 10],\n [-8, -3, -29, 2, 20, -13, 0, 7, 6, -4],\n [-2, 12, 2, -4, -2, 4, -10, -10, -8, 6],\n [-18, 16, 20, -2, -26, -8, ... | 65 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, 3, 24, -8, 10, -2, -10, 12, 18, 8],\n [3, -1, 12, -3, 8, -6, 6, -7, 9, 4],\n [24, 12, -14, 7, 14, 8, 4, -3, -15, -26],\n [-8, -3, 7, 7, 12, -13, 18, 11, -11, 6],\n [10, 8, 14, 12, 22, 7, 28, 16, 9, -6],\n [-2, -6, 8, ... | 69 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-7, -10, 21, 22, 2, -26, 2, -12, 10, 24],\n [-10, 26, 20, 17, -17, 14, 8, 12, -1, 0],\n [21, 20, 3, 24, 6, -6, 7, 1, 25, -12],\n [22, 17, 24, 1, 4, 4, 10, -2, 23, -10],\n [2, -17, 6, 4, -22, 4, -2, -12, -14, 16],\n [-26,... | 75 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-27, 19, -28, -15, -17, 25, 10, 7, -27, 28],\n [0, 24, -21, -20, 8, -5, 26, 6, -5, -27],\n [0, 0, -3, -29, -29, -15, 29, 26, -8, -8],\n [0, 0, 0, -6, 27, 6, 26, 18, -18, -16],\n [0, 0, 0, 0, 16, 19, 29, -28, 8, -23],\n [0, 0, 0, ... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -2, -12, 0, -10, 6, -26, -16, -10, -14],\n [-2, 17, -13, -18, -9, -14, -17, -3, 1, 8],\n [-12, -13, -30, 6, 4, -19, -6, 10, 22, 16],\n [0, -18, 6, -21, -2, 2, 14, 10, 12, 30],\n [-10, -9, 4, -2,... | 410 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-18, 14, -13, -10, -15, -6, 1, -7, -8, -12],\n [14, 30, 14, 11, -10, 14, -25, -2, 5, -8],\n [-13, 14, -6, 10, -6, -26, 16, 4, -20, -16],\n [-10, 11, 10, 0, -14, 10, -10, -4, -16, -1],\n [-15, -10, -6, -14, -6, 18, -... | 339 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, -2, 2, -18, -12, -10, 10, -8, -18, -8],\n [-2, 22, 0, -14, 21, -14, -10, -2, -20, 18],\n [2, 0, -19, 0, 0, -18, -11, 20, 10, -15],\n [-18, -14, 0, -30, -4, -11, -4, -23, -3, -4],\n [-12, 21, 0, -4, 10, -9, 14, 8, -12, -28],\... | 64 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, 4, -8, -14, 16, 11, -19, 13, -11, 8],\n [0, 11, 30, 6, -11, 21, -20, -3, -29, -7],\n [0, 0, -15, 5, -29, -6, -2, -3, -21, 14],\n [0, 0, 0, -12, -16, 24, 2, 29, -14, 21],\n [0, 0, 0, 0, -28, 23, -29, -13, -8, -12],\n [0, ... | 152 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[10, -4, -6, -5, 10, -22, 6, -12, -7, 13],\n [-4, -18, -20, -18, 16, 10, -7, 15, 0, -20],\n [-6, -20, -28, 19, 4, 6, 6, 8, -17, 18],\n [-5, -18, 19, -27, -9, -2, -18, -10, 20, -4],\n [10, 16, 4, -9, 18, 6, 2, 4, 2, 1... | 364 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, -12, -14, 4, -23, -10, -12, 0, -2, -3],\n [-12, 6, 6, -6, 22, 16, 0, -2, -4, 20],\n [-14, 6, -12, 14, -10, 2, 22, -26, 2, -7],\n [4, -6, 14, -16, -19, 24, -6, 1, -16, -11],\n [-23, 22, -10, -19, -12, 4, -6, 19, 0, 0],\n... | 347 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 16, 6, 13, 20, -6, 18, 10, -4, 14],\n [16, 14, -12, -14, 8, 10, 2, -16, -6, -3],\n [6, -12, -28, 11, -13, -4, 10, 22, 8, -2],\n [13, -14, 11, -30, 10, 2, 6, -8, -12, 7],\n [20, 8, -13, 10, -14, -12, 4, 0, -10, 8],\n ... | 68 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, 14, 10, 6, 10, 10, -26, 12, 28, -2],\n [14, 16, 9, 2, 6, -6, -9, 0, -12, 1],\n [10, 9, 13, -6, 2, 4, 22, -24, 6, 3],\n [6, 2, -6, -25, 8, 12, -8, -20, -5, 24],\n [10, 6, 2, 8, 24, -24, 26, 4, 11, 1],\n [10, -6, 4, 12... | 75 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, -1, -24, -29, -14, -20, 19, 30, -19, -28],\n [0, -17, -16, 20, 11, 10, -21, 21, 24, 5],\n [0, 0, -14, 13, -6, 30, -4, 2, -20, -18],\n [0, 0, 0, -10, -15, 8, -8, -21, 17, 2],\n [0, 0, 0, 0, 5, 16, -21, 26, -15, -... | 142 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-26, 6, -17, -12, 2, -18, -3, 4, 6, -16],\n [6, -28, 16, 16, -10, 16, -2, 10, -12, -6],\n [-17, 16, -28, 10, 6, -28, -2, -2, 3, -16],\n [-12, 16, 10, 16, -10, 1, 17, -7, -4, -22],\n [2, -10, 6, -10, 0, 4, -15, 5, -19, -21],\n [-... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-18, 8, 10, -4, -2, 2, 10, -17, -10, 2],\n [8, 30, -6, -2, 8, -1, -21, 13, -10, -4],\n [10, -6, 8, 8, -14, -4, -10, 16, 12, 8],\n [-4, -2, 8, -7, 3, 4, -20, 0, 7, 4],\n [-2, 8, -14, 3, -15, -2, 0, -7... | 267 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, -14, 0, 18, 4, 8, 4, -12, 1, 9],\n [-14, 8, 4, 0, 14, -8, -16, 10, 2, 6],\n [0, 4, -11, -26, -16, 14, 2, -18, 2, 1],\n [18, 0, -26, 15, 12, 12, -22, 0, 18, -15],\n [4, 14, -16, 12, -14, -27, 22, -2, 8,... | 78 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[15, -22, 4, 7, 4, 2, 27, 23, 22, 4],\n [0, -11, -29, 13, -5, 11, -18, -1, 21, 1],\n [0, 0, -9, -30, 26, -20, -5, 17, -12, -12],\n [0, 0, 0, 25, -13, 18, -26, 17, -7, -17],\n [0, 0, 0, 0, -19, 21, -20, 8, 28, -5],\n [0, 0, 0, 0, 0... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, 8, 26, -8, -1, 8, -10, 20, 12, 10],\n [8, 9, -4, -8, -20, -8, -4, 10, -8, -12],\n [26, -4, 29, 2, 14, 7, -24, 6, 4, 4],\n [-8, -8, 2, -18, -15, 0, 9, 10, 10, 20],\n [-1, -20, 14, -15, -13, 9, 15, 3, 2, -24],\n [8... | 325 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[2, -20, -10, -28, -6, 2, 1, -16, -2, 16],\n [-20, -17, -26, -11, 14, 1, -5, -12, -22, -4],\n [-10, -26, 12, -12, -10, 4, 6, -18, 14, -21],\n [-28, -11, -12, -17, 4, -7, 2, 14, 1, 9],\n [-6, 14, -10, 4, 22, 4, -6, 0,... | 324 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-30, 10, 21, 4, -7, -25, -24, -22, 6, 30],\n [0, 3, 4, 4, -11, 27, -8, 29, 11, 23],\n [0, 0, 15, -8, -27, -21, 12, -20, 9, 24],\n [0, 0, 0, -19, -14, 1, -8, -16, 20, -3],\n [0, 0, 0, 0, -13, 22, -10,... | 148 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, -20, -4, -6, -2, -5, -2, -10, 0, 12],\n [-20, -24, 8, 14, 12, 16, -13, 0, 25, -3],\n [-4, 8, -3, 4, -13, 0, -1, -9, 24, 6],\n [-6, 14, 4, -14, 8, -4, -16, 13, 14, -20],\n [-2, 12, -13, 8, -16, 0, -16, 0, -15, 15],\n [-5, 16, ... | 63 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[13, 22, -12, -8, 16, 19, -23, -6, 7, 26],\n [0, 4, -5, -28, -29, -26, 30, -11, -19, 7],\n [0, 0, 7, 5, 15, -2, 4, 18, 6, 23],\n [0, 0, 0, -25, -11, 29, 5, 28, -18, 9],\n [0, 0, 0, 0, -8, 0, 6, 6, 29, 30],... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, 2, 20, -6, 14, -2, -9, -5, -4, -18],\n [2, 27, -15, 9, -10, -6, -2, -18, -9, 15],\n [20, -15, 6, 14, -22, 16, -20, 14, -6, 7],\n [-6, 9, 14, 17, -1, -10, -6, 12, 25, 0],\n [14, -10, -22, -1, -1, -2, -22, 30, -5, -1],\n [-... | 368 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 0, -12, -8, 4, -2, 6, -15, 1, -2],\n [0, 22, -7, -12, -12, -10, 19, 8, 0, -6],\n [-12, -7, 23, -20, 8, 14, 10, -10, 19, -10],\n [-8, -12, -20, -14, -6, -1, 26, 0, 8, -4],\n [4, -12, 8, -6, -26, -22, 6, -6, 8, 16],\n [-2... | 348 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[29, -18, 6, 24, -12, -13, -20, 24, 16, -10],\n [-18, 8, 15, -2, 10, 7, -20, 2, 14, 14],\n [6, 15, -9, -4, 6, -4, -3, 6, 1, -9],\n [24, -2, -4, -17, -20, 17, 16, -12, 0, 22],\n [-12, 10, 6, -20, 24, 5, 7, ... | 77 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, -6, 9, 3, 3, -19, -8, 5, 5, 6],\n [-6, 28, -18, 8, 15, 6, 6, -16, 8, 2],\n [9, -18, -5, 0, 8, -15, -6, 0, 4, 4],\n [3, 8, 0, -10, 2, -2, -25, 26, -28, 0],\n [3, 15, 8, 2, -3, -9, 2, 16, 8, -12],... | 328 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, 12, 20, -19, 12, 20, 6, -26, -23, 29],\n [12, 26, -14, -8, 4, 20, 12, -9, 9, 14],\n [20, -14, -4, -8, -24, -19, 10, -18, -22, -9],\n [-19, -8, -8, -10, -1, 4, 0, 6, -26, -14],\n [12, 4, -24, -1, 17, -18, 10, 8, ... | 392 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 14, -16, -16, -2, 7, 10, 20, 0, 14],\n [14, -8, -10, -9, 16, -4, 22, 2, -21, 0],\n [-16, -10, 7, -6, -14, 6, -8, 1, -3, 3],\n [-16, -9, -6, 12, -12, 2, -30, 3, 17, -25],\n [-2, 16, -14, -12, -23, 0, -5, -12, 24, 18],\n [7, -... | 74 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 11, -27, -6, 0, 16, -19, -16, 30, 22],\n [0, -5, 30, 27, -21, -19, 27, -9, 9, 22],\n [0, 0, -24, -13, -4, 29, 4, 16, -29, 1],\n [0, 0, 0, -11, -21, 25, -7, -7, -7, 9],\n [0, 0, 0, 0, 3, 10, 9, -20, -5... | 26 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[29, -24, 3, 6, -23, 16, -8, -22, -12, 0],\n [-24, -8, -12, 26, 14, -4, -9, 9, 17, -7],\n [3, -12, 19, 2, -18, 12, -2, -20, 0, -16],\n [6, 26, 2, 29, 2, 18, -14, 22, -18, -2],\n [-23, 14, -18, 2, 17, 21, 2, 15, -5, 15],\n [1... | 370 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 12, 4, 10, 12, 17, -18, 7, -5, -7],\n [12, 21, -8, 19, 18, 14, -2, 26, 12, 12],\n [4, -8, 22, -8, 2, -12, -4, -23, 14, -16],\n [10, 19, -8, -30, 1, -6, 3, 4, 20, 18],\n [12, 18, 2, 1, 22, 12, 10, 3, -14, 8],\n [... | 377 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, -15, 5, 12, -3, 14, -16, -4, -6, 28],\n [-15, -3, -28, 4, -16, 8, 14, 4, 13, -13],\n [5, -28, 23, -2, 8, -12, 1, 22, -22, 6],\n [12, 4, -2, 15, -4, 13, -23, -15, 14, -15],\n [-3, -16, 8, -4, -16, -10, ... | 78 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[24, 6, -19, 6, 2, -14, 2, -2, -12, 21],\n [6, -19, 9, -4, -12, 12, 21, 6, -2, -10],\n [-19, 9, -20, 0, 24, 10, 11, 8, 16, 16],\n [6, -4, 0, -29, 4, -10, 8, 4, -16, 20],\n [2, -12, 24, 4, -8, 9, 22, 2, 24, 29],\n [-14, 12, 1... | 360 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -9, 8, 4, -24, 20, -22, 4, -16, 10],\n [-9, 16, 5, -14, -3, 6, -4, 6, 3, 3],\n [8, 5, 12, -14, -4, -8, 10, 12, 18, -13],\n [4, -14, -14, 11, 15, 15, -6, 6, -16, 16],\n [-24, -3, -4, 15, -5, 26, 23, 12, 18, -6],\n [20, ... | 359 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 2, -4, 18, 19, -16, 13, -18, 21, 3],\n [0, 4, -12, 0, -6, 9, -19, -19, 11, -6],\n [0, 0, 6, -3, 29, 21, 12, -22, -17, -28],\n [0, 0, 0, 22, 10, -13, 7, -10, 26, 8],\n [0, 0, 0, 0, -21, 27, -26, -2... | 110 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, -9, 4, 19, -4, -4, 4, 18, 6, 18],\n [-9, 4, -5, 18, -20, 9, 2, -18, -2, -22],\n [4, -5, -27, -12, 1, 10, 0, -6, 3, -6],\n [19, 18, -12, 15, 20, -9, -11, 24, -21, -12],\n [-4, -20, 1, 20, -13, -4, -4, 5, 14, 5],\n [-4, 9, 10,... | 63 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, -10, 4, 24, 21, 10, 19, -1, 8, 3],\n [-10, 28, -5, -2, 0, 20, -4, -16, 22, -15],\n [4, -5, 2, -2, 11, 4, 0, 0, 9, 26],\n [24, -2, -2, 28, -10, -8, 18, 1, -16, -1],\n [21, 0, 11, -10, 5, -7, -18, 2... | 355 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -8, 21, -2, -22, -18, -18, 8, 16, -6],\n [-8, 9, -16, -5, 12, 2, 9, 11, -16, -10],\n [21, -16, -26, -10, 4, 18, -12, -4, -16, -12],\n [-2, -5, -10, -2, -24, 8, -6, -24, -10, -16],\n [-22, 12, 4, -24, 28, 19, 14, -25, 8, -... | 397 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, 20, -15, -22, 21, -21, -2, -22, 2, -7],\n [0, -20, 8, 19, -18, 24, -8, -6, 19, -15],\n [0, 0, -10, -21, 10, 9, -12, 4, 28, -3],\n [0, 0, 0, -29, 20, -1, 9, 19, 9, -26],\n [0, 0, 0, 0, 5, -28, -7, 10, 17, 30],\n ... | 129 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-27, 10, -2, 14, 4, -20, -20, -6, 12, -10],\n [10, 20, 4, 4, -22, 3, 0, -10, 18, 14],\n [-2, 4, 21, 4, 19, 2, -10, 2, 26, -4],\n [14, 4, 4, 30, -10, 5, -12, -3, 12, -20],\n [4, -22, 19, -10, 20, -11,... | 373 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 4, 20, -8, -10, 29, 0, 13, -8, 6],\n [4, -22, -8, 14, 20, -2, -8, -12, 12, 0],\n [20, -8, -5, 11, -2, 14, 9, 22, -8, -4],\n [-8, 14, 11, 0, 17, 20, -8, 13, -6, 25],\n [-10, 20, -2, 17, -8, 22, 6, 11, 16, -11],\n [29, -2, 14,... | 72 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-27, -16, -14, 6, -7, 7, 11, 10, 5, 27],\n [0, -23, -28, -1, -9, 21, 2, -6, 21, 28],\n [0, 0, -28, -27, -2, 26, 1, -8, 25, -12],\n [0, 0, 0, -8, 9, 15, 6, -30, -12, 6],\n [0, 0, 0, 0, 18, -5, -18, 23... | 165 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-2, -4, -8, 1, 2, 29, 0, 5, -6, -20],\n [-4, 18, 0, 4, 3, -8, 18, 22, -8, -9],\n [-8, 0, 5, -13, 17, 12, 1, -12, 1, 16],\n [1, 4, -13, 12, -6, 6, -10, 8, -8, -2],\n [2, 3, 17, -6, -5, 12, 2, -18, -8, 4],\n [29, -8, 12, 6, 12, -1... | 56 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 4, 6, -12, -2, -14, -2, 26, 12, 2],\n [4, 30, 6, 25, -8, 8, 8, -12, 12, 2],\n [6, 6, -16, -2, 6, -6, -2, 8, -5, -3],\n [-12, 25, -2, 11, 0, -2, -8, -16, 23, -15],\n [-2, -8, 6, 0, -10, 22, 16, -1... | 344 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-20, 8, 1, -11, 10, 1, -13, -2, 10, -10],\n [8, 20, -8, 18, -6, 0, 2, 14, 8, 8],\n [1, -8, -25, 10, -19, -16, -16, 8, 18, 2],\n [-11, 18, 10, 27, 6, 6, 1, 8, -1, 14],\n [10, -6, -19, 6, -3, 22, 24, 1, -19, 20],\n [1... | 372 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, 10, -1, 18, 4, -2, -6, -16, -20, 6],\n [10, 0, -4, 10, -23, -4, 20, 4, -6, 0],\n [-1, -4, 18, -16, -20, 18, 5, -23, -4, -12],\n [18, 10, -16, -12, 9, 10, 18, 8, -16, 2],\n [4, -23, -20, 9, 16, -10, -2, 20, -6, -2],\n [-... | 385 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-16, -14, -14, 0, -11, 6, 2, -24, 10, 6],\n [-14, 29, 19, -26, 1, -9, 2, 3, -3, 6],\n [-14, 19, 9, 14, 21, 8, -3, -2, 5, -2],\n [0, -26, 14, -8, -2, 20, 10, 12, 12, -11],\n [-11, 1, 21, -2, 30, -10, -24, 14, 4, -4],\n [6, -9, 8,... | 69 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[28, -7, 14, -17, 8, 10, -1, -4, 12, 14],\n [-7, 13, -8, -25, 4, 16, 14, -9, 18, 5],\n [14, -8, 9, 1, -16, -2, -11, 23, 4, 4],\n [-17, -25, 1, -13, -17, 18, 14, -14, -7, 0],\n [8, 4, -16, -17, -9, -5, -14, -10, -5, -26],\n [... | 353 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[27, 16, -1, -8, 19, 0, -12, 22, -16, -12],\n [16, -11, -18, -16, 20, 0, 4, -9, 18, -24],\n [-1, -18, -18, -10, -2, -10, -24, -27, 14, 0],\n [-8, -16, -10, 5, -14, -18, 12, 0, -24, 22],\n [19, 20, -2, -14, 2, -12, 12, 0, -13, -10... | 79 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-28, -2, -4, 18, -4, -24, -2, 8, 0, -16],\n [-2, -25, 8, -6, -5, -21, 6, 22, -4, 6],\n [-4, 8, 1, 7, 12, 4, -20, 6, 26, -16],\n [18, -6, 7, -30, 0, 6, -24, 0, 4, 8],\n [-4, -5, 12, 0, 1, -18, -24, -14, -10, -14],\n [-24, -21, 4,... | 75 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, 11, 23, 12, -11, -14, -20, -15, 6, 11],\n [0, -5, 27, 21, 6, 21, -22, 4, -28, 0],\n [0, 0, -29, -6, 9, -19, -1, 23, -1, -2],\n [0, 0, 0, 21, -8, -14, -18, 2, -30, 29],\n [0, 0, 0, 0, -15, 11, -24, 23... | 29 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, 0, 1, 16, 3, 16, 12, 6, -23, 1],\n [0, 12, 16, -27, 27, -22, -14, -12, 6, 10],\n [1, 16, 6, -20, 5, -4, 4, -12, 20, -6],\n [16, -27, -20, -19, -5, 19, -20, 8, 14, -7],\n [3, 27, 5, -5, 26, 2, 12, -10, -12, 19],\n [16, -... | 379 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[28, 13, 26, 26, -6, -6, 19, -17, 12, -4],\n [0, 1, -4, -27, 19, 8, -20, 17, 17, -28],\n [0, 0, -7, -22, -23, 8, 0, 26, 28, -14],\n [0, 0, 0, -27, 6, -23, 11, 18, -25, -22],\n [0, 0, 0, 0, -13, -8, -26, 19, -4, 2],\n... | 111 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-28, -16, 24, -4, 21, -4, -1, -25, -6, -3],\n [0, -27, -16, -5, -13, -22, 21, -27, 17, 19],\n [0, 0, -25, 27, 23, 20, -19, 0, 16, -22],\n [0, 0, 0, 20, -11, 17, 24, 1, 28, 25],\n [0, 0, 0, 0, 27, 9, 18, -6, 0, 25],\n [0, 0,... | 177 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, 4, 1, -14, -2, 6, 22, 6, -12, -3],\n [4, -4, -14, 2, 0, 2, -2, -11, -9, 3],\n [1, -14, 30, -22, -5, 15, 7, 0, -22, 16],\n [-14, 2, -22, -15, -14, 18, -11, 24, -2, -6],\n [-2, 0, -5, -14, -8, 12, -4, -10, -14, 6],\n [6, 2, 15... | 68 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-27, 18, -2, 3, 3, -22, -4, -8, 0, 7],\n [18, 21, -20, 2, -4, 0, -6, -1, 12, -18],\n [-2, -20, -27, -5, 8, -9, 16, -16, -16, 20],\n [3, 2, -5, 28, 17, 20, -28, -14, -12, 2],\n [3, -4, 8, 17, -3, -25, 0, -16, -21, -1... | 382 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[28, 30, 10, -4, 5, -13, 0, -14, 23, 22],\n [0, 8, -6, 11, 11, 28, 7, 7, 30, 0],\n [0, 0, 9, -22, -30, -15, 7, -8, 28, -23],\n [0, 0, 0, -15, 16, 12, -7, 8, -23, -20],\n [0, 0, 0, 0, -16, 17, -28, -15, -16, -6],\n [0, 0, ... | 29 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, 7, 12, 24, 26, 22, 5, 2, 12, -15],\n [0, -20, -23, 21, -30, -17, -1, -10, 27, -10],\n [0, 0, -5, 10, -17, 23, 9, 27, 4, 11],\n [0, 0, 0, -22, 10, 20, 29, 14, 2, 18],\n [0, 0, 0, 0, 29, -15, 16, -5, -25, 6],\n [0, 0, 0... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-14, 4, -14, -8, -8, -5, -6, 13, 6, -9],\n [4, -7, -26, 10, 6, 12, 13, 2, -16, 18],\n [-14, -26, -6, -2, -5, -10, -26, 2, 4, -2],\n [-8, 10, -2, -20, 9, -2, -26, -8, 5, -5],\n [-8, 6, -5, 9, 20, -24,... | 336 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[26, -14, -2, -1, 4, -4, -6, -8, -16, 4],\n [-14, 23, -11, -15, 4, -9, 2, 5, 18, 16],\n [-2, -11, 13, 24, -5, 4, -16, -12, -20, 17],\n [-1, -15, 24, -25, -13, -12, 2, 6, 24, -10],\n [4, 4, -5, -13, -19, -4, 5, 8, 8, ... | 311 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 16, 8, 8, 12, -2, 4, -2, 4, 8],\n [16, 17, -14, -18, 0, -3, 4, -22, 10, 11],\n [8, -14, 6, 11, -3, 12, 16, 8, 4, 6],\n [8, -18, 11, -6, -16, -10, -1, 12, 14, -18],\n [12, 0, -3, -16, -13, -7, -7, 21, 16, 3],\n [-2, -3, 12, -... | 58 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, 4, -2, 3, 15, -6, 4, 22, 6, 24],\n [4, -28, 10, -20, 30, 0, -10, 18, 12, 16],\n [-2, 10, -22, 18, 22, -1, -23, -8, 0, -14],\n [3, -20, 18, 24, -21, -14, 0, -6, -16, -18],\n [15, 30, 22, -21, -5, 18, -4, -4, -8, -4],\n [-6, 0... | 84 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, -26, 14, -29, 11, 27, 7, 8, -28, 15],\n [0, 7, -9, 9, 2, 21, 1, 16, -14, 25],\n [0, 0, -28, 25, -25, 18, 24, -18, 24, 23],\n [0, 0, 0, -15, -14, 1, -30, 17, 7, -23],\n [0, 0, 0, 0, -7, -4, -11, 16, -10, 11],\n [0, 0,... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, 8, -25, -2, -21, 20, -15, 3, 0, 5],\n [0, 27, -26, 2, 12, -12, 1, 26, -8, -28],\n [0, 0, 10, -3, 17, 8, -26, -18, -20, 15],\n [0, 0, 0, -19, 22, 24, 22, -10, -12, -26],\n [0, 0, 0, 0, 28, 18, 3, 28, -8, -28],\n [0, 0, 0... | 189 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -16, 0, -8, -10, -23, -8, -20, 8, 9],\n [-16, 2, 11, 13, 0, -2, 24, -10, 13, -16],\n [0, 11, -4, 21, 6, -4, 24, -1, -6, -8],\n [-8, 13, 21, 5, 2, -17, -4, 23, -20, 23],\n [-10, 0, 6, 2, -27, 1, -... | 392 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, 8, -20, -8, -14, -5, -8, -2, 18, -12],\n [8, 3, 26, 4, -5, 0, -6, -11, -3, 13],\n [-20, 26, 28, 8, -12, -4, 5, -10, 22, -1],\n [-8, 4, 8, -20, 19, 2, -7, -12, 7, 0],\n [-14, -5, -12, 19, -26, 22, -13, -18, 2, 1],\n [-5, 0, -4... | 72 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 2, -13, 6, -6, -4, 2, -8, -4, 12],\n [2, 22, 24, -15, 4, -22, 12, -2, 8, -17],\n [-13, 24, 8, 16, -16, 11, 11, 4, 12, 12],\n [6, -15, 16, -9, 16, -4, 4, 14, -8, 10],\n [-6, 4, -16, 16, -10, -4, -4, 6, -18, 10],\n [-4, -22, 11... | 62 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, 15, -6, 20, 11, 17, 12, 16, 20, -8],\n [15, 30, -1, -8, -5, -24, -1, 18, 0, -5],\n [-6, -1, -19, 15, -2, 11, -11, 2, 22, 9],\n [20, -8, 15, -9, 4, 16, 19, 14, -6, 12],\n [11, -5, -2, 4, 19, -10, 16, -19, -12, 6],\n [... | 69 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, -14, 22, 8, 10, -2, -5, 4, 20, -13],\n [-14, 11, -24, -6, -4, -2, 1, 20, -3, -10],\n [22, -24, -5, -4, 9, 4, 23, -7, -16, 1],\n [8, -6, -4, 15, -14, -18, -14, -26, 5, 6],\n [10, -4, 9, -14, 19, 6, 14, 2, 8, 17],\n [-2, -2... | 328 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 8, 1, 7, -13, -18, 2, 3, -24, 0],\n [8, 7, 12, -1, 9, 6, -2, 13, -14, 18],\n [1, 12, -8, 4, -10, -12, -9, -2, 2, 6],\n [7, -1, 4, 6, 0, -8, -4, 0, 8, -2],\n [-13, 9, -10, 0, -28, 16, 6, 6, -6, 16... | 296 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[21, 16, 8, -7, 19, 6, 22, 30, -6, -2],\n [0, 0, 14, 4, -3, 7, 27, 13, 22, 19],\n [0, 0, -3, 21, 0, -8, -17, -3, -17, -30],\n [0, 0, 0, 28, 30, 10, -13, 29, -26, 11],\n [0, 0, 0, 0, 5, 5, 9, -1, 7, -8... | 153 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, -12, -26, 3, -6, -10, -2, 16, -4, 2],\n [-12, -4, 7, 26, -10, -10, -11, -16, -18, 15],\n [-26, 7, -8, -4, -10, 16, -8, 18, 10, -20],\n [3, 26, -4, -4, 17, -4, 0, -13, 24, -2],\n [-6, -10, -10, 17, -25, 18, -26, 8, -4, -6],\n ... | 76 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, -1, -5, -8, -4, -3, 6, -15, -2, 3],\n [-1, -24, 6, -10, 6, -20, -4, 10, 15, -14],\n [-5, 6, -13, -21, -3, -12, -2, 10, -4, 6],\n [-8, -10, -21, -20, 24, -8, 28, -8, -12, -2],\n [-4, 6, -3, 24, -18, -10, 4, 18, -9, 12],\n... | 330 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-25, 26, -10, -14, 0, 20, -18, 14, -6, -6],\n [26, 1, 2, 3, -14, 4, 22, -10, 16, 12],\n [-10, 2, 13, -14, -4, -22, -3, -18, 26, -14],\n [-14, 3, -14, 5, -22, 10, 18, 17, -6, 7],\n [0, -14, -4, -22, -23, 12, 22, 14, 12, 16],\n [2... | 90 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[9, 0, -11, 0, -6, -7, 1, 12, -2, 4],\n [0, -18, -12, 22, 16, 14, 13, 26, -1, 19],\n [-11, -12, 4, -24, 0, 20, 0, 8, -1, 11],\n [0, 22, -24, -1, 4, 14, -26, -12, -6, -8],\n [-6, 16, 0, 4, -17, 21, -13, 14, 6, -17],\n [-7, 14,... | 376 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[28, -10, 4, 6, -20, 8, -2, 6, -10, 8],\n [-10, 4, 14, 9, -14, -2, 28, 0, 6, 2],\n [4, 14, 27, 18, -2, 14, 8, 11, 18, -9],\n [6, 9, 18, -21, 0, -6, -12, -13, 0, -8],\n [-20, -14, -2, 0, -21, 6, -12, -16, -15, -4],\n [8, -... | 59 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-14, -25, 30, 12, 28, -26, 8, -24, 1, -27],\n [0, 11, 1, 25, -13, 2, -17, -25, -20, 15],\n [0, 0, 27, 4, -15, 17, -24, 9, 28, 29],\n [0, 0, 0, 0, 11, 13, 12, 12, 16, -25],\n [0, 0, 0, 0, 25, -9, 28, -22, -20, -15],\... | 147 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 6, -22, 9, 10, 2, 2, 8, -4, -7],\n [6, -19, -20, -8, 1, 6, 12, -14, 10, 2],\n [-22, -20, 28, 20, 16, -6, -17, -8, 0, 26],\n [9, -8, 20, -11, 18, -9, 8, 16, 22, 2],\n [10, 1, 16, 18, -24, 18, -10, -7, 0, 0],\n [2, 6, -6, -9, 1... | 70 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 30, -27, 28, -13, 15, -7, 12, -2, 0],\n [0, -3, -22, 14, -5, 18, 16, -29, -25, -2],\n [0, 0, -24, 3, 25, 14, -21, 17, 10, 9],\n [0, 0, 0, -4, 8, -9, 24, -12, 5, -22],\n [0, 0, 0, 0, 28, 8, -9, 20,... | 136 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-17, 11, 28, 0, -12, 8, 4, 20, 20, 2],\n [11, 14, -7, 12, 0, -24, -14, -12, 4, 18],\n [28, -7, -16, -2, 0, -2, 4, 0, 18, -2],\n [0, 12, -2, 10, 10, 4, 6, -27, 16, 0],\n [-12, 0, 0, 10, -8, 6, 12, 26, -20, 10],\n [8, -24, -2... | 375 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, -7, -2, 26, -6, -5, -11, -12, -24, 22],\n [-7, 19, -8, -7, -1, -8, 13, 2, -3, -12],\n [-2, -8, 7, 0, -2, -8, 12, 7, 10, -4],\n [26, -7, 0, 20, -8, 11, -9, 12, -12, 4],\n [-6, -1, -2, -8, 10, 2, -8, 20, -16, 26],\n [-5, -8... | 318 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[20, 2, 22, 14, 22, 2, -11, -23, 26, 13],\n [2, -10, -4, -20, -2, -16, -10, -14, -6, 20],\n [22, -4, 30, -6, 10, 6, 3, 7, 14, 14],\n [14, -20, -6, -18, 21, -17, -1, 14, 22, -13],\n [22, -2, 10, 21, 26, -26, -1, 6, 0, 2],\n [2, -1... | 91 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, 8, -7, 12, 5, 4, 10, 10, 12, -20],\n [8, 12, 13, 17, -10, -2, 11, -22, -8, 6],\n [-7, 13, 19, 8, -22, -3, 4, 4, 24, 23],\n [12, 17, 8, -17, -3, 2, 10, 8, -9, -15],\n [5, -10, -22, -3, -7, 5, 14, 8, 8, 10],\n [4, -2, ... | 64 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, 16, 10, -12, 10, 24, 4, -2, 10, 1],\n [16, 13, 2, -4, -14, 13, -10, 14, -18, -10],\n [10, 2, 2, -5, -25, 12, 10, -2, 4, -18],\n [-12, -4, -5, -21, -2, 2, -10, 0, 2, -4],\n [10, -14, -25, -2, 26, -25, 24, -7, 15, -5]... | 81 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[2, -7, -21, 27, -6, 10, -21, 8, -15, 29],\n [0, -19, 13, 27, 1, 20, -2, 14, 22, 30],\n [0, 0, -5, -28, -5, 8, -30, 4, 22, -4],\n [0, 0, 0, -9, 29, -25, 21, -22, -20, -9],\n [0, 0, 0, 0, 27, -21, 3, 0, -9, 15],\n [0, 0, 0, 0, 0, -... | 27 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, -8, -3, -15, 11, -23, 22, -4, -19, 8],\n [-8, -1, 4, -1, 8, 13, -22, -22, 3, 2],\n [-3, 4, 5, 6, 12, 2, -2, -13, 10, 0],\n [-15, -1, 6, -9, -3, 12, -24, -16, 5, -18],\n [11, 8, 12, -3, 10, -6, -16, 4, -6, 16],\n [-23, 13, 2... | 78 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[29, -27, -16, -14, -4, -20, 24, -8, -16, 21],\n [0, 22, -5, -24, -18, 23, -18, 21, -11, 3],\n [0, 0, 29, 21, 6, 21, 20, -4, 3, 5],\n [0, 0, 0, -15, -14, -16, -18, 2, 23, -26],\n [0, 0, 0, 0, -1, -8, -16, 5, -12, -1],\n [0, 0, 0, ... | 29 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, -29, 4, -17, -12, -12, 5, -16, 8, -14],\n [-29, -9, 7, -2, 10, -8, -15, -18, -19, 3],\n [4, 7, -26, 12, -8, 6, -12, 14, -5, 23],\n [-17, -2, 12, 25, -10, -10, 13, -13, 6, -6],\n [-12, 10, -8, -10, 26, 5, 12, 10, ... | 365 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-30, 0, -24, 16, -8, 30, 27, -7, -17, -8],\n [0, -22, -23, -23, -28, 27, 1, 21, -27, 18],\n [0, 0, -22, 15, -30, 18, -20, -2, -5, -4],\n [0, 0, 0, -3, 0, -12, 17, -5, 19, -2],\n [0, 0, 0, 0, 7, 3, 9, -9, 17, -4],\n [0, 0, 0, 0, 0... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -12, -26, -11, -20, 24, 19, 29, -4, -2],\n [0, 29, 19, -28, -26, 24, -18, -15, 23, -19],\n [0, 0, 23, 14, 29, 2, -16, -10, 13, -14],\n [0, 0, 0, 18, 25, -16, -11, -12, -30, -27],\n [0, 0, 0, 0, -26, -22, -30, 24, 12, -1],... | 143 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 4, 6, 16, 8, 14, -12, -6, -6, -26],\n [4, 20, 24, 8, 2, -24, 8, -15, -3, 4],\n [6, 24, 7, 12, 10, -6, 14, 4, 8, 0],\n [16, 8, 12, -28, 20, -14, -4, -2, -4, 12],\n [8, 2, 10, 20, 12, 12, 6, 11, -9, -4],\n [14, -24, -... | 72 | MATH |
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