messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[25, 27, -23, 11, -19, 11, -18, -5, -13, 11],\n [0, 21, 18, -11, -15, 6, -28, -4, -16, 27],\n [0, 0, -9, 9, -8, 28, 18, -27, 20, 23],\n [0, 0, 0, 16, 29, -22, -7, -10, 10, 15],\n [0, 0, 0, 0, 24, -6, -5, 18, 14, -22],\n [0, 0, 0, ... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[29, 7, -19, -20, 17, 21, 18, -11, -22, -30],\n [0, -28, -10, -8, -22, 23, -12, 14, 24, 15],\n [0, 0, -8, -4, -4, 8, 5, -19, 24, -4],\n [0, 0, 0, -3, 0, 1, 19, -11, 9, 4],\n [0, 0, 0, 0, -9, 14, 10, -22, 21, -22],\n ... | 168 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[27, 16, -20, -4, -6, 11, -12, 6, 4, 10],\n [16, -29, 23, -6, -6, 9, -6, 18, 0, -30],\n [-20, 23, -16, 9, 0, -8, 28, -8, -10, 0],\n [-4, -6, 9, 24, 10, 0, -13, 1, -11, 16],\n [-6, -6, 0, 10, 26, 0, -6, -5, 16, -14],\n [11, 9, -8,... | 75 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, 4, 4, -14, 18, 12, -19, 5, 10, 2],\n [4, -21, 0, 6, -22, 11, -2, 12, 18, 6],\n [4, 0, 11, 8, 10, 14, 4, 12, -9, 22],\n [-14, 6, 8, -17, -3, 2, -5, -6, -14, -8],\n [18, -22, 10, -3, -22, -10, 0, -3, 23... | 80 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, -8, 0, -6, -22, -13, -11, 6, -23, -21],\n [-8, -24, 13, -16, -6, 18, -4, 14, 0, -4],\n [0, 13, 19, 20, -2, -6, -6, 14, 4, 16],\n [-6, -16, 20, -17, -17, -7, -10, -6, -12, 22],\n [-22, -6, -2, -17, 27, 0, -8, 12, 0, -6],\... | 356 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[11, -21, -21, 21, -2, -15, -30, -14, -1, -5],\n [0, 30, 15, -12, 22, -10, -14, 15, 9, -10],\n [0, 0, 9, 14, 18, -12, 29, -24, -14, -30],\n [0, 0, 0, -5, -29, 28, 1, 26, 17, 23],\n [0, 0, 0, 0, 4, -1, 17, ... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[16, 8, 24, 3, 0, -19, 20, 13, -15, 7],\n [0, -29, 21, -26, -20, 27, -6, 4, 4, -9],\n [0, 0, 24, -20, 1, 4, 0, 14, 22, -23],\n [0, 0, 0, -27, -13, 20, -27, -11, 27, -22],\n [0, 0, 0, 0, -27, 10, 28, 14, 10... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, -26, 18, 23, 1, 5, -16, -12, -9, 3],\n [0, -14, -19, -6, 25, -14, -21, -3, 26, -13],\n [0, 0, 14, 1, -17, 25, -15, 19, 27, -13],\n [0, 0, 0, -19, 3, -21, -26, -10, -28, -12],\n [0, 0, 0, 0, -17,... | 151 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[22, 6, 30, -20, 24, -20, -18, -17, 29, -23],\n [0, -13, 20, 13, 13, -13, -21, -24, 29, 19],\n [0, 0, -16, -15, -29, -1, -1, -13, 0, 13],\n [0, 0, 0, 18, 19, 4, -8, 11, 2, 7],\n [0, 0, 0, 0, -11, 24, -28, -23, 9, 28],\n [... | 27 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-29, -13, -18, 20, -26, -11, -29, -20, -1, 1],\n [0, 27, 19, 7, 24, -3, -21, -9, 24, -14],\n [0, 0, -12, -14, -7, 5, 1, 27, 25, 27],\n [0, 0, 0, 5, -3, -17, 27, 5, -25, -22],\n [0, 0, 0, 0, -1, 0, 9, 25, -27, 0],\n ... | 170 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, -14, 6, 18, 9, 4, 4, -10, -4, 23],\n [-14, 19, -18, -15, -22, 21, -6, 16, -27, -10],\n [6, -18, -27, -11, -12, 28, 12, -26, -10, -14],\n [18, -15, -11, -12, 6, 10, -2, -16, -8, -6],\n [9, -22, -12... | 335 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[24, -11, -26, -13, 8, 8, 5, -26, 8, 7],\n [-11, -5, 1, -2, -12, -14, -12, 4, 2, -4],\n [-26, 1, -18, -6, 11, -12, -18, -16, 0, 4],\n [-13, -2, -6, 23, 12, 3, -3, -15, 16, -10],\n [8, -12, 11, 12, 14,... | 319 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 8, -12, -10, -4, -8, 4, -15, 6, 3],\n [8, 12, 6, -27, -15, -10, -4, 6, -1, -18],\n [-12, 6, 3, 10, -12, -8, 12, -14, -6, 4],\n [-10, -27, 10, 0, 6, 22, 8, -1, -18, 22],\n [-4, -15, -12, 6, -1, -13, 12, 19, 1, 1],\n [-8, -... | 321 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[24, -19, -21, 15, 11, 11, 21, 30, 0, -20],\n [0, -15, 30, -22, 16, -17, -12, 0, -22, 5],\n [0, 0, 23, -5, -23, -7, -23, -12, 16, 17],\n [0, 0, 0, 24, -22, 27, 27, 13, 17, -27],\n [0, 0, 0, 0, -25, 16, 5, 22, -20, -26],\n [0, 0, 0... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, 3, 15, -22, -11, -4, 12, 8, 20, 9],\n [3, -4, 12, -16, 2, 12, 2, 6, -6, 22],\n [15, 12, 0, -16, 3, -2, -11, -20, -14, -1],\n [-22, -16, -16, -3, -14, -21, 14, 6, 10, 9],\n [-11, 2, 3, -14, 7, 8, 0, 20, 13, 18],\n [-4, 12... | 372 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, 3, 20, 1, -5, 4, -4, -4, 10, 18],\n [3, 9, -4, -6, 0, 1, -6, 2, 10, -22],\n [20, -4, 20, -14, 2, 0, -12, 15, 26, -1],\n [1, -6, -14, 10, -10, 18, -20, -3, 14, -24],\n [-5, 0, 2, -10, 5, -26, 9, 20, 15, -17],\n [4... | 316 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, 0, 10, 0, -15, 2, 16, -18, -8, -8],\n [0, -13, -8, 3, 8, 0, 9, 0, 2, 1],\n [10, -8, -19, 1, -8, -2, -29, 7, -16, -16],\n [0, 3, 1, 30, 0, 2, -23, 3, 0, -7],\n [-15, 8, -8, 0, 29, 28, -2, -20, -8, -14]... | 67 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -6, 9, 18, -12, -14, 12, -6, 9, 17],\n [-6, 0, -18, -2, 3, -12, -12, -5, 12, 10],\n [9, -18, 21, 9, -5, -16, -26, -14, -4, 20],\n [18, -2, 9, 8, 26, -8, -18, 6, 2, -6],\n [-12, 3, -5, 26, -26, 0, -5, -4, -8, 2],\n [-14,... | 334 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, 3, 21, -16, 13, 2, -14, 10, 1, 0],\n [3, 8, -28, -4, -12, 10, -6, -2, 2, -3],\n [21, -28, -16, 10, 10, -1, -20, 6, -11, -10],\n [-16, -4, 10, 9, -8, -20, 8, 9, -16, 8],\n [13, -12, 10, -8, 21, 15, 9, 10, 3, -10... | 318 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, 5, 9, 22, 3, 6, 22, -6, -12, 18],\n [5, -21, 0, -14, -4, 22, 24, -6, 0, 3],\n [9, 0, -30, 10, 12, 25, 17, 6, -8, 14],\n [22, -14, 10, 27, 20, -2, -3, 18, 0, 0],\n [3, -4, 12, 20, -29, -10, 10, 18, -2, 6],\n [6,... | 367 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[24, 8, 1, -8, 1, -12, 27, 10, 4, -4],\n [8, 19, 10, -16, -8, 0, -14, 1, -3, 0],\n [1, 10, 24, 7, -17, -7, -2, 4, 6, 27],\n [-8, -16, 7, 19, 10, -20, -18, 0, -4, -2],\n [1, -8, -17, 10, 27, 6, 24, -3, -10, 4],\n [-12, 0, -7,... | 357 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -2, -2, 4, -10, 11, -10, -18, -22, -10],\n [-2, -1, 6, -12, 9, 11, 0, 0, 20, -10],\n [-2, 6, 3, -16, -8, -2, -11, -18, 2, -2],\n [4, -12, -16, -1, -3, 6, -23, -13, -9, 17],\n [-10, 9, -8, -3, -9, -2, 0, 17, 12, ... | 296 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, -6, 14, -4, 0, 6, 6, -5, 11, 16],\n [-6, -12, 6, 7, -4, -16, -3, 0, -10, 4],\n [14, 6, 0, -12, 0, 3, 23, 2, 6, 18],\n [-4, 7, -12, 29, 16, 12, 19, 8, 14, 5],\n [0, -4, 0, 16, 21, -22, 3, -25, 12,... | 301 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, 0, -12, -11, -8, 12, -4, -1, -10, 13],\n [0, 18, -24, -9, -21, -8, -16, -1, 3, -18],\n [0, 0, -13, 25, -8, 2, 3, 3, 5, 4],\n [0, 0, 0, 3, 17, -20, 26, -18, 2, 26],\n [0, 0, 0, 0, -2, 6, -27, -19, -5, ... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -11, -14, -2, 1, 0, 14, -3, -4, 12],\n [-11, 2, -23, -7, -22, -19, -10, 18, 1, -4],\n [-14, -23, -27, 4, 2, 20, -3, 8, 8, 0],\n [-2, -7, 4, -15, -11, -18, -18, 9, -10, -2],\n [1, -22, 2, -11, -15, -21, 14, 22, -4, -6],\n... | 371 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -1, 9, -8, 15, -7, -2, -27, 7, -2],\n [0, -4, -2, 25, 5, 4, 21, -25, 28, -8],\n [0, 0, 13, 17, 21, -23, 24, -29, -18, 9],\n [0, 0, 0, 21, 17, 5, 30, 17, 21, 7],\n [0, 0, 0, 0, 24, -10, -18, 6, 16, -5],\n [0, 0, 0, 0, 0, 8, -8... | 27 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, -16, -13, -18, -7, 9, -17, -3, -20, -25],\n [0, -6, 30, -30, -6, -29, 1, -18, 2, 1],\n [0, 0, -4, -27, -7, -8, -2, 3, -10, -1],\n [0, 0, 0, -28, 18, 6, 27, 9, 13, -6],\n [0, 0, 0, 0, 2, -16, -14, 3, -14, 21],\n [0, 0, 0,... | 165 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, -10, 8, -8, -4, -9, 2, 10, 18, -8],\n [-10, -10, -7, 1, 15, 0, 21, -12, 2, 0],\n [8, -7, 17, -10, -8, 0, 12, 8, -10, -2],\n [-8, 1, -10, -1, -16, 14, 4, -4, 21, 20],\n [-4, 15, -8, -16, 4, -16, -16, 5, 12, -16],\n [... | 56 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-29, -14, 7, -6, 18, -4, -17, -12, -10, 22],\n [-14, -7, 16, -14, 18, 4, -14, 22, -3, -5],\n [7, 16, 19, -27, -12, -16, 2, 14, -23, -6],\n [-6, -14, -27, -22, -13, -20, -9, 4, -26, 9],\n [18, 18, -12, -13, -11, -15, -10, 11... | 392 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-9, -2, -4, -16, 12, -15, -24, -4, -4, -8],\n [-2, 14, 20, -19, -10, -11, -10, 4, 4, 8],\n [-4, 20, -20, -26, -10, -20, 22, -6, 8, -4],\n [-16, -19, -26, 19, 8, 2, -3, -10, -4, -21],\n [12, -10, -10, 8, -4, 7, -4, -20, 14, 2... | 330 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, -13, 12, -19, -28, -13, 25, 7, -24, 2],\n [0, -13, 14, -9, 20, 8, 20, -22, 4, -8],\n [0, 0, -7, 19, 9, -22, -18, 9, 23, 11],\n [0, 0, 0, 24, 19, -7, -29, 4, 30, -3],\n [0, 0, 0, 0, -21, 22, 15, 14, -22, 7],\n [0, 0, 0, 0... | 151 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-23, -4, -21, -17, 15, 28, 21, 23, -20, -25],\n [0, 2, -12, 8, -7, -13, 4, 21, 12, 6],\n [0, 0, -7, 25, 3, -9, -27, 26, -21, -29],\n [0, 0, 0, 7, 12, 28, -3, -21, 14, -30],\n [0, 0, 0, 0, 11, -21, -19, -13, 27, -10]... | 137 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, 19, 7, 8, 25, 25, 17, 10, -5, 28],\n [0, 13, 20, -5, 24, 24, -30, -23, -27, -10],\n [0, 0, 22, 27, 6, 18, -28, -12, -30, -2],\n [0, 0, 0, 21, 10, -8, -26, -24, 26, 27],\n [0, 0, 0, 0, -18, -19, -27, -23, 6, 0],\n... | 165 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, 8, -25, 2, -4, 8, 0, -14, -2, -14],\n [8, -6, 2, 5, -4, 6, -16, 1, -2, 14],\n [-25, 2, 15, -4, 19, 0, -18, 0, -12, 0],\n [2, 5, -4, -17, -22, -4, 17, -3, 8, 18],\n [-4, -4, 19, -22, 20, 5, 20, -4, -26, -28],\n [8, 6, 0... | 352 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, 0, 24, 2, 2, 24, -4, -16, -4, -9],\n [0, 23, 6, 10, -3, -10, 3, -20, 10, -14],\n [24, 6, 4, -5, 2, -4, 2, 2, 0, 0],\n [2, 10, -5, 25, -16, -6, -12, -16, -6, 4],\n [2, -3, 2, -16, -7, -4, 14, -4, -13, 4],\n [24, -10,... | 64 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[21, 20, -10, 10, 18, 2, -18, 17, 7, -22],\n [20, 8, -4, 7, 7, -10, -20, 18, -11, -5],\n [-10, -4, -30, 6, 20, 14, 1, -1, 14, 18],\n [10, 7, 6, -19, -10, -2, 26, -15, 1, -4],\n [18, 7, 20, -10, -24, -2, 2, -28, -8, 9],\n [2, -10,... | 88 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, 1, -3, 14, 0, -24, 4, 10, 9, 3],\n [1, -30, 12, 3, 0, 3, -2, -24, -8, 16],\n [-3, 12, -19, 10, 14, 1, -4, -12, -2, -2],\n [14, 3, 10, 24, -10, 4, 10, 6, 16, -11],\n [0, 0, 14, -10, -26, -4, 15, 3, -23, 18],\n [-... | 352 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, 9, 19, -25, 6, -29, -19, 27, -27, -8],\n [0, -14, 0, -15, 10, -5, -3, -30, 16, -19],\n [0, 0, 25, 19, -11, -29, 5, -16, 7, -9],\n [0, 0, 0, 1, 28, -11, 5, 2, -16, 19],\n [0, 0, 0, 0, -4, -26, 28, ... | 157 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, -20, 16, 12, -6, -6, -7, 24, 20, 16],\n [-20, 19, 3, 2, 0, 20, -14, 14, -2, 14],\n [16, 3, 8, -4, 22, -18, 0, 6, -10, 4],\n [12, 2, -4, 30, 18, 19, -3, 14, -11, 4],\n [-6, 0, 22, 18, 22, 16, -8, -9, -4, 6],\n [-6, 20, ... | 382 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 12, 10, 2, -16, 6, -3, -15, 10, -22],\n [12, -18, 12, -10, -20, 4, -11, 12, -25, 1],\n [10, 12, -11, -10, -16, 15, 6, 1, 13, 4],\n [2, -10, -10, -1, -8, -7, 2, 25, -4, 0],\n [-16, -20, -16, -8, -17, 2, 4, 16, -2, -3]... | 80 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[27, 8, 2, -14, 18, 18, 11, -19, 12, 18],\n [8, 2, 17, 16, -15, 10, -2, 8, -24, 11],\n [2, 17, 20, -21, -2, 12, -16, -2, -4, -4],\n [-14, 16, -21, -7, 11, -14, -9, -2, 12, -24],\n [18, -15, -2, 11, -30, 0, -20, -5, -4, -2... | 64 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 8, 6, -2, 13, 18, -8, 8, 14, 26],\n [8, 25, 18, -10, 20, 3, 4, -10, -18, -1],\n [6, 18, 0, 4, 7, -3, 15, 18, 0, 9],\n [-2, -10, 4, 1, 12, -16, 3, -12, -6, 18],\n [13, 20, 7, 12, 25, -16, 15, -2, 12, -8],\n [18, 3, -... | 69 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 20, -12, 26, -15, -20, 11, -23, 2, -21],\n [0, 4, 12, 19, -28, 9, -4, 28, -3, 15],\n [0, 0, -17, -24, -21, -16, 0, -2, 11, 23],\n [0, 0, 0, -2, 18, 13, -16, -5, -19, -6],\n [0, 0, 0, 0, 13, 17, 10, 26, 0, -28],\n [0, 0, 0, 0,... | 29 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, 19, 4, 4, 16, 24, -5, -3, -10, -16],\n [19, 21, 2, 4, -15, -6, -4, -4, -4, 5],\n [4, 2, 6, 10, -14, -2, -5, 28, 22, -6],\n [4, 4, 10, -30, -16, -8, -2, 0, -25, -19],\n [16, -15, -14, -16, 7, 8, -8, 8, -2, 20],\n [24,... | 65 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 6, -12, 10, 22, 8, 23, -6, 6, -10],\n [6, 7, 14, 4, -9, 13, 18, 14, 17, 0],\n [-12, 14, 5, 4, 22, 14, -14, 18, 20, -4],\n [10, 4, 4, 18, -18, 2, -4, 26, -11, -4],\n [22, -9, 22, -18, 13, -8, 2, -4, 16, 14],\n [8, 13, 14... | 383 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-28, -1, -14, 0, 2, -6, -23, -1, 14, -7],\n [-1, 24, -2, 8, 22, 22, 0, 17, 7, 13],\n [-14, -2, -7, 8, -6, -12, -8, 15, 6, -22],\n [0, 8, 8, 15, -2, -24, 26, -10, 10, -6],\n [2, 22, -6, -2, 22, -26, -16, 0... | 69 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, -16, -5, 20, 0, 25, 9, 2, 10, 6],\n [-16, 17, 5, 0, -14, 8, -4, -14, 4, 8],\n [-5, 5, 0, -19, 0, 2, -7, -4, -10, 14],\n [20, 0, -19, -17, 19, -5, -16, 13, -1, 16],\n [0, -14, 0, 19, -4, 24, 12, -1... | 317 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, -4, 18, 12, -8, 6, 0, 12, 18, 5],\n [-4, 6, 8, -7, -6, -10, 22, 6, 0, 0],\n [18, 8, 8, 3, 18, -18, 12, -20, -12, 5],\n [12, -7, 3, 14, 0, -20, 14, -14, -1, 8],\n [-8, -6, 18, 0, 0, 5, -16, -12, -12, 20],\n [6, -10, -18, ... | 326 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-23, -16, -8, 14, -4, -11, -25, 7, -15, 18],\n [-16, 10, 2, 14, -2, 14, 13, 6, 1, 12],\n [-8, 2, -13, 0, 8, 1, -18, -9, -4, -7],\n [14, 14, 0, 27, 10, -3, -24, 27, -2, 2],\n [-4, -2, 8, 10, -22, -14, -27, -2, 16, 11],\n [-11, 14... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, 4, -4, 20, -14, -10, -6, -16, -2, 6],\n [4, 26, 10, -10, 23, 9, 16, -3, 17, -14],\n [-4, 10, -29, 3, -15, -10, -7, 22, -2, -2],\n [20, -10, 3, -3, 6, -10, 17, 26, 2, -12],\n [-14, 23, -15, 6, 23... | 374 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, -12, -14, -8, 3, 12, -2, -6, 18, 16],\n [-12, -16, -15, 8, -18, 6, 17, -19, -4, -6],\n [-14, -15, -19, -3, -1, 11, -8, 12, -10, -29],\n [-8, 8, -3, 23, -22, 0, -11, -6, 4, 4],\n [3, -18, -1, -22, -30, -16, -12, 19, 12, -2],\... | 66 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, 20, 30, -7, 26, -2, 25, 23, -26, 4],\n [0, 24, -18, -26, 13, -17, 7, -9, -22, 18],\n [0, 0, 14, 30, -26, -2, 23, -9, 18, -28],\n [0, 0, 0, 16, -17, 12, -20, -22, 7, 16],\n [0, 0, 0, 0, -6, -15, 21, -16, 3, -14],\n [0, 0, 0, ... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-22, -8, -6, -16, 6, -16, 16, -4, 6, -10],\n [-8, -8, 0, -12, -2, -10, 17, -26, 3, -12],\n [-6, 0, 3, 14, 10, 20, -16, -12, -12, 24],\n [-16, -12, 14, -22, 19, -18, 0, 15, -5, -21],\n [6, -2, 10, 19, 23, 4, 7, -14, ... | 343 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-28, -8, -20, -21, 19, 5, 29, -18, -2, 7],\n [0, 22, -18, 26, -5, -11, -26, -11, -17, 14],\n [0, 0, 17, -18, -7, -16, 20, -30, -9, 3],\n [0, 0, 0, -28, 24, -5, -17, 27, 10, 30],\n [0, 0, 0, 0, 25, -15, 11, -10, -21,... | 213 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, 4, 19, 9, -9, -23, -16, 14, -24, -12],\n [0, 11, -14, -30, 14, -2, 27, -18, 25, 17],\n [0, 0, 11, -25, -26, 3, -20, -22, 7, 9],\n [0, 0, 0, 13, 27, 9, -28, -18, -12, 3],\n [0, 0, 0, 0, -13, -17, -1, -... | 17 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, -4, 10, -10, -6, 7, -13, 16, 5, -4],\n [-4, 28, -9, 0, 6, 16, 13, 9, 2, -24],\n [10, -9, -8, -19, 2, -6, -7, 21, -22, 0],\n [-10, 0, -19, 19, -9, 8, -8, 4, -24, -22],\n [-6, 6, 2, -9, 5, 16, -14, 0, 20, 10],\n [7, 16... | 67 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[9, -6, -16, -18, -23, -10, -10, -9, 15, 2],\n [0, -4, 9, 19, -9, -1, -22, 14, 4, -13],\n [0, 0, -4, 26, -25, 1, -23, 25, 8, -10],\n [0, 0, 0, 11, -5, 22, 13, 1, 8, -3],\n [0, 0, 0, 0, -18, -16, -13, 8, -25, 24],\n [0, 0, 0, 0, 0... | 19 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-25, -14, -28, -6, -16, 9, -2, 18, 8, 10],\n [-14, -22, -15, 20, -12, 4, 6, 0, -10, -6],\n [-28, -15, 18, 2, -11, -8, -7, -2, -14, -3],\n [-6, 20, 2, 10, 2, 21, -20, 9, 0, 12],\n [-16, -12, -11, 2, 29, 6,... | 61 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 6, -11, 10, 8, 24, -18, 0, 7, -21],\n [6, -30, 7, -8, 12, 4, 14, -4, 12, -12],\n [-11, 7, 15, -18, -16, 19, -7, -11, 7, -13],\n [10, -8, -18, 10, 10, 2, 10, 15, 25, -8],\n [8, 12, -16, 10, -21, 6, 10, 9, -12, -20],\n [24, 4,... | 70 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-20, -17, -14, -2, 20, 1, -6, -12, -11, 11],\n [-17, 10, 4, 12, -20, -20, 7, -16, -15, 6],\n [-14, 4, -2, -4, -2, 6, -2, 10, 15, -18],\n [-2, 12, -4, 14, 7, -10, 0, -18, -3, 11],\n [20, -20, -2, 7, 20, 18, 15, 0, -1... | 342 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, -6, 12, 6, 18, -8, -10, 13, 8, -16],\n [-6, -15, -16, 0, 16, -12, -18, 6, 12, 9],\n [12, -16, 18, 20, -5, -22, -12, -6, 6, 7],\n [6, 0, 20, 17, -12, 13, -7, -5, -21, -2],\n [18, 16, -5, -12, 11, 8, -1, 24, -6, -1],\... | 64 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[16, 15, -17, 11, 3, 28, 0, -25, 18, -26],\n [0, 6, -16, -16, 21, 12, -26, -3, 2, -20],\n [0, 0, -8, 9, -29, -16, -8, -9, -22, 16],\n [0, 0, 0, 28, 15, 16, 21, -1, 14, -22],\n [0, 0, 0, 0, 28, 28, 21, -13, -4, -13],\n [0, 0, ... | 156 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, 19, 21, 2, 1, 8, -11, 2, -10, -2],\n [19, 3, -5, 8, -10, 12, 10, 17, 3, 4],\n [21, -5, 20, -6, 13, -10, -14, 8, -1, 9],\n [2, 8, -6, -14, -16, 3, 16, -3, -15, -28],\n [1, -10, 13, -16, -19, -27, 0, -2, 4, -2],\n [8, 1... | 60 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[29, 21, 23, -17, 19, -29, 3, 4, 6, -6],\n [0, 23, -16, -19, -22, 27, 0, -17, -2, 22],\n [0, 0, 7, 11, 29, -23, 17, -28, -29, -15],\n [0, 0, 0, -15, 0, 23, 27, -3, -27, -21],\n [0, 0, 0, 0, 1, -1, 5, -22, 5, -2],\n [0, 0, 0, 0, 0,... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[26, 22, -18, -6, 0, -25, -23, 6, -7, 20],\n [22, 10, 7, -6, -7, -6, 0, 5, 0, 12],\n [-18, 7, -26, -14, 4, 3, 12, 3, 4, -2],\n [-6, -6, -14, 27, -2, 20, 2, 4, -6, 4],\n [0, -7, 4, -2, 23, 8, -6, 2, 12, 16],\n [-25, -6, 3, 20, 8, ... | 67 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 4, 1, 14, 1, -4, -12, 0, -12, 0],\n [4, -29, -1, -6, -2, 25, 17, 15, 2, 9],\n [1, -1, -26, -1, -2, -11, 16, -7, 12, 18],\n [14, -6, -1, -20, 10, 2, -2, 11, 3, -12],\n [1, -2, -2, 10, 0, 0, 4, -12, -12... | 64 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, -5, -18, 19, 3, 6, 14, 22, -14, -6],\n [-5, -11, -11, -7, 6, -1, -21, -8, -10, 3],\n [-18, -11, 20, -11, 13, -12, -22, -4, -11, 3],\n [19, -7, -11, -27, 0, 5, -5, 8, 17, -13],\n [3, 6, 13, 0, -17, 2, 4, -4, 10, 6],\n... | 66 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, -13, -10, 14, 16, 11, -30, 30, 7, 10],\n [0, 16, -22, -8, -17, -20, -24, 0, -7, -5],\n [0, 0, 15, 7, -26, -26, 30, -12, 20, 7],\n [0, 0, 0, 11, -8, 15, 18, -1, -28, -3],\n [0, 0, 0, 0, 26, -12, 11, 27, 26, 17],\n [0, 0, 0... | 174 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[29, 5, -14, 5, -18, 12, 12, 12, -4, -12],\n [5, 10, 7, -21, 11, -6, 11, -4, -7, -20],\n [-14, 7, -7, 3, -10, 9, 18, 2, -24, 16],\n [5, -21, 3, -11, 5, -8, -5, -12, -8, 14],\n [-18, 11, -10, 5, 13, 13, -6, 8, -22, -1... | 355 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-14, -9, -12, 14, 23, -21, 30, -20, 30, 7],\n [0, 2, 12, 0, 17, 4, 6, 16, 16, 5],\n [0, 0, 9, 8, -5, -6, -14, -16, 6, 14],\n [0, 0, 0, -9, -14, -17, -17, -14, -23, 3],\n [0, 0, 0, 0, -15, -1, -15, 7, 23, -7],\n [0, ... | 160 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, 26, -21, 6, 17, 25, -26, 25, 24, -19],\n [0, 0, 24, 7, 20, -22, 13, -5, -16, -15],\n [0, 0, -1, 22, 25, -24, 26, 24, 21, -27],\n [0, 0, 0, 26, -1, -21, -1, 8, -24, 5],\n [0, 0, 0, 0, 14, -11, 18, 1, 28, 8],\n [0, 0, 0, 0... | 109 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, -8, 20, -2, 4, 4, 12, 22, 6, 22],\n [-8, -17, 10, 16, 20, -4, -8, 6, 2, 5],\n [20, 10, 7, 20, 2, -16, 18, -10, 2, 17],\n [-2, 16, 20, -22, -18, -6, 4, 0, 10, 10],\n [4, 20, 2, -18, -27, -22, 4, -4, -4, 2],\n [4, -4, -16, -6, ... | 73 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 26, 29, -9, -18, 30, -19, -24, -30, 2],\n [0, 24, -17, 28, 16, 12, 25, 27, 10, -14],\n [0, 0, 20, 8, -30, 10, 14, -7, 3, 3],\n [0, 0, 0, -14, -18, -24, -22, 13, 4, -8],\n [0, 0, 0, 0, -5, -30, -17, 1, 20, 17],\n... | 138 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[22, 14, 11, 13, 2, 12, 0, -16, 14, 3],\n [14, -7, 24, 16, -6, 22, 4, 4, 6, 7],\n [11, 24, -30, -20, -2, 2, -14, 26, 12, 4],\n [13, 16, -20, -5, -7, -6, 13, 8, 25, 9],\n [2, -6, -2, -7, 5, -11, 2, 4, 20, 8],\n [12, 22, 2, -6, -11... | 71 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[27, 1, 14, -29, 20, -20, 28, -11, 6, -22],\n [0, 18, -12, 24, 9, -24, -26, 16, 11, -7],\n [0, 0, -24, -20, -22, 18, -1, 10, -28, -9],\n [0, 0, 0, 1, 17, -24, 29, -24, -11, -6],\n [0, 0, 0, 0, 9, -18, 21, 17, 8, -27],\n [... | 29 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[30, 20, 7, -19, -7, -18, 9, 17, -29, 23],\n [0, -19, 8, 20, -17, -1, 10, 19, 12, 17],\n [0, 0, 12, 19, 12, -6, -27, 19, 20, -18],\n [0, 0, 0, 23, 6, -28, -15, -5, 9, 25],\n [0, 0, 0, 0, 1, 18, -10, -30, -25, -4],\n [0, 0, 0, 0, ... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[1, -2, -12, -12, -12, -2, 17, 12, 10, -12],\n [-2, 12, 12, -10, 6, -14, -13, -2, -7, -4],\n [-12, 12, 29, 6, 16, -8, 5, -20, 4, -12],\n [-12, -10, 6, -5, -11, -12, 8, 13, 4, 4],\n [-12, 6, 16, -11, 0, -26, -4, -13, ... | 320 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 12, -7, -13, 0, 4, -24, 16, -10, 0],\n [12, -1, -2, -6, 10, 14, -10, 0, 0, -2],\n [-7, -2, 20, 4, 14, 8, 2, -26, -14, -8],\n [-13, -6, 4, -30, 10, 15, -6, -10, -17, -8],\n [0, 10, 14, 10, -8, 1, 1, 16, -10, -12],\n [4, ... | 319 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, -14, 8, 13, -1, 0, 22, -10, -10, 3],\n [-14, -20, -2, -15, -3, 5, 8, 15, -2, -11],\n [8, -2, -1, 18, 6, 8, -4, 2, -9, -15],\n [13, -15, 18, 0, 14, 4, 2, 4, 4, -2],\n [-1, -3, 6, 14, 15, -12, 0, 4, 10, 22],\n [0,... | 294 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 16, 10, 16, 15, -12, -24, -3, -26, 10],\n [16, -24, -14, -14, -13, 2, 15, -2, -10, -5],\n [10, -14, -9, 18, 14, -8, -8, 6, -12, -10],\n [16, -14, 18, -16, 24, 0, 6, -26, -26, 14],\n [15, -13, 14, 24, -25, 6, -5,... | 367 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-19, -28, 16, -26, -23, -17, 30, 5, -24, -24],\n [0, 15, 1, -23, 27, -19, -21, -17, -22, 7],\n [0, 0, -30, -30, 26, -11, 18, -20, -5, 13],\n [0, 0, 0, 30, 14, -20, -23, -2, -21, 3],\n [0, 0, 0, 0, -14, 1, -20, 3, -7, 24],\n [0, ... | 30 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 8, 4, 10, -6, -4, 15, -7, -3, 1],\n [8, 25, -10, 15, 14, 12, -22, -12, 0, 2],\n [4, -10, 26, -2, -18, -2, -1, -22, 27, 6],\n [10, 15, -2, 6, 2, 1, -4, -8, -20, 14],\n [-6, 14, -18, 2, 21, 12, -11, -18, -20, -22],\n [-4,... | 354 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, 10, -16, -22, 8, -18, 16, -2, -8, 0],\n [10, -18, 12, -6, 1, 16, -14, 7, 4, -15],\n [-16, 12, 23, -2, 4, 6, 7, 15, 25, 8],\n [-22, -6, -2, -3, -5, -10, 22, -4, -14, -28],\n [8, 1, 4, -5, -15, 6, 0... | 385 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[20, 12, 2, 14, -14, -10, -4, 2, -12, -8],\n [12, -17, 12, -7, 12, -10, -18, 4, 5, -8],\n [2, 12, 22, -2, -12, -16, -6, 17, -14, 13],\n [14, -7, -2, -12, 26, 27, 8, -11, -8, -14],\n [-14, 12, -12, 26, 8, 2, 2, -17, -8, 9]... | 76 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, 23, 0, -8, -7, 1, -8, -15, -2, -1],\n [23, 21, 9, 1, -16, -18, -26, -26, 10, 12],\n [0, 9, -11, -12, -4, 6, -8, 4, 8, 0],\n [-8, 1, -12, 23, 23, 12, -4, 0, -24, -8],\n [-7, -16, -4, 23, 15, -14, ... | 347 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -14, 6, -10, -5, 10, 16, -6, 9, 4],\n [-14, -12, 0, -7, 2, -5, -16, -2, -6, -14],\n [6, 0, 12, 11, 3, -15, -30, 2, 4, -21],\n [-10, -7, 11, -3, -2, -14, -23, 10, 10, -11],\n [-5, 2, 3, -2, -9, -4, 16, 2, -18, -20],\n [10, -5, ... | 71 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, 11, 2, 7, -1, 2, 0, -13, 14, 22],\n [11, -7, 10, -6, -23, 12, 8, -2, 8, -6],\n [2, 10, -2, 8, 0, -10, -16, -2, -2, 16],\n [7, -6, 8, 11, -10, -4, 2, -25, 20, -20],\n [-1, -23, 0, -10, 4, -6, -20, -26, -1, -13],\n [2, 12, -10,... | 85 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, 20, -24, -7, -26, -10, -3, -13, -7, 27],\n [0, 14, 2, -21, -22, 18, 2, 2, -24, -27],\n [0, 0, 22, 1, 13, -15, 15, 24, -21, -17],\n [0, 0, 0, -7, -13, -15, 10, 6, 10, -6],\n [0, 0, 0, 0, -1, -11, -13, -27, 17, 5],\n [0, 0,... | 99 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 29, 23, -2, -26, -21, -21, 22, -22, -10],\n [0, -21, 7, -20, -27, 27, 15, 0, 18, 21],\n [0, 0, 4, 8, 8, 2, -23, 1, 24, 2],\n [0, 0, 0, 3, -23, 20, 11, -24, -18, 23],\n [0, 0, 0, 0, 27, -17, -20, ... | 139 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-27, 6, 18, 4, -12, 7, 0, -11, 13, -14],\n [6, 8, -16, 27, -2, 0, 2, 26, -2, -13],\n [18, -16, 5, 6, -8, -4, 11, -6, 3, -10],\n [4, 27, 6, -14, 0, -11, 10, 25, 8, -6],\n [-12, -2, -8, 0, -1, -3, -4, -6, 12, 10],\n [7, 0, -4... | 343 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-22, -20, -8, -16, -8, 8, -4, 2, -16, -10],\n [-20, -2, 10, 2, 4, 8, 5, -2, 9, 14],\n [-8, 10, 9, -13, -20, 22, 13, -8, -2, 10],\n [-16, 2, -13, -26, 2, 18, 18, 4, -16, 8],\n [-8, 4, -20, 2, 8, -20, 12, 21, -3, 10],\n [8, 8,... | 306 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[26, -14, 1, -12, -2, 2, -1, -5, 9, -22],\n [-14, -10, 21, -3, 10, 2, 14, 8, -9, 10],\n [1, 21, 30, -4, 2, -7, 14, -3, 4, -12],\n [-12, -3, -4, -27, -28, 15, 3, -2, 7, 2],\n [-2, 10, 2, -28, -2, -7, 16, 4, -13, -14],\n [2, 2, -7,... | 63 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, 26, -19, 10, 19, 3, -6, -14, 22, 2],\n [0, -22, -25, -29, 7, -22, -28, -15, -6, -7],\n [0, 0, 13, 24, 9, -5, 7, 4, -8, -27],\n [0, 0, 0, 22, 25, 16, 8, -24, -23, 11],\n [0, 0, 0, 0, -30, 11, 7, 23, -18, 11],\n [0, 0, ... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-27, -20, 10, 2, -3, 1, 26, -15, -22, -20],\n [0, 28, 18, -4, 30, -19, -9, 9, 17, 6],\n [0, 0, -14, 25, -2, 22, 9, -21, -13, 16],\n [0, 0, 0, -21, 1, 10, 14, -28, -9, -4],\n [0, 0, 0, 0, -20, 15, -21, 8, 24, 29],\n [0, 0, 0, 0, 0... | 28 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[18, -22, 11, 8, -20, -22, -20, 17, -22, 4],\n [-22, -15, 6, 12, 14, 1, -3, 13, 21, -2],\n [11, 6, 15, 6, -4, -8, 19, 18, 8, 0],\n [8, 12, 6, -28, 3, -6, -8, -17, 7, 11],\n [-20, 14, -4, 3, 23, 6, -16, -3,... | 72 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[26, 24, 10, 23, 12, 0, -24, -2, 8, -24],\n [24, 25, 20, -4, 0, -2, -2, -3, -18, 8],\n [10, 20, 13, 12, 16, 1, 12, -11, 18, -5],\n [23, -4, 12, -14, 7, 10, 10, -1, -3, 14],\n [12, 0, 16, 7, 9, -10, -21, 24, -6, -2],\n [0, -2, 1, ... | 74 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 13, -8, -12, -19, -11, -2, 0, -16, 8],\n [13, 30, -4, 2, -19, 10, -7, 5, -26, 2],\n [-8, -4, -9, -22, -8, -8, 10, -26, 10, -4],\n [-12, 2, -22, 2, 2, -8, 12, -8, -2, -4],\n [-19, -19, -8, 2, -24, 20, -18, -22, 2... | 354 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, 4, 0, -13, -10, 6, -6, 24, -8, 5],\n [4, 26, -7, 12, 12, -11, -18, -6, 0, 0],\n [0, -7, -29, 1, -5, -10, 3, 10, 8, -8],\n [-13, 12, 1, -18, 22, 8, 2, -10, 16, 20],\n [-10, 12, -5, 22, 8, 2, 5, 15, 25, 4],\n [6, -11, -10, ... | 350 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[7, 8, 0, -7, -5, 6, -12, -2, -24, -8],\n [8, -13, 26, 15, -7, 7, -8, -14, 4, -12],\n [0, 26, -19, -10, 2, -6, 1, -12, -15, 8],\n [-7, 15, -10, 15, 26, 0, -8, 8, -5, 15],\n [-5, -7, 2, 26, 14, -20, -4, 0, -19, 4],\n [6, 7, -... | 350 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, 8, 16, 24, 7, -2, 3, -4, -6, -20],\n [8, -20, 14, -8, -3, -7, 0, -14, 1, 15],\n [16, 14, -10, 0, -3, -10, 2, 9, 15, 4],\n [24, -8, 0, -7, -4, -2, -6, -10, 2, 13],\n [7, -3, -3, -4, -22, 23, -6, -8, -4, -4],\n [-2, -7, -10, -... | 57 | MATH |
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