messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, 16, -8, -2, 7, 22, 13, 24, -16, -16, 8, 8],\n [16, -30, 6, 20, -12, 6, -14, 30, 9, 8, 12, 2],\n [-8, 6, 7, -12, -21, 9, -3, -6, -6, 27, -22, 14],\n [-2, 20, -12, -19, 26, 14, 25, 4, -13, 0, 19, 8],\n [7, -12, -... | 517 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 6, -4, 22, -14, -20, 16, 0, 2, 3, -1, 10],\n [6, -14, -4, -11, 6, 6, 14, -12, -1, 4, -5, 21],\n [-4, -4, 22, 10, -5, -20, 12, -2, -6, -2, 0, 5],\n [22, -11, 10, -12, -6, -19, -6, 3, -12, -14, 3, -4],\n [-14, 6, -5, -6... | 86 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[32, 12, 0, 6, -19, -1, -9, -1, -32, -20, -7, 32],\n [12, 11, -24, 18, 4, 6, 10, -4, -4, -8, 10, -4],\n [0, -24, -21, -16, 3, -3, -13, -28, -16, 16, -20, -34],\n [6, 18, -16, -27, -12, 0, 8, 16, 26, 12, -10, -4],\n [-19, 4, 3, -12... | 93 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-32, -29, 6, -14, -14, -5, -11, 14, -23, 0, 20, -8],\n [-29, 3, 16, 20, -25, 31, 22, -4, 15, -28, 16, 16],\n [6, 16, -31, -4, -6, 2, -1, 2, -4, 6, 18, 13],\n [-14, 20, -4, -31, -3, 10, 19, 4, 15, -18, -26, 6],\n [-1... | 633 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[30, 9, -35, -17, 19, 11, -13, 2, -20, -22, 32, -30],\n [0, 33, -1, -10, -27, 13, 33, -11, 9, -6, 24, -4],\n [0, 0, 25, -19, 15, -21, -24, -25, 31, -11, 2, 13],\n [0, 0, 0, 26, -21, 9, 5, -30, 14, 6, 30, 24],\n [0, 0, 0, ... | 34 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 14, 30, -3, 13, -19, 5, -17, -25, 24, -15, 8],\n [0, -23, 10, 17, 21, 19, -25, -21, 4, -21, -23, -7],\n [0, 0, 23, 12, 22, 6, -26, -20, 13, 18, 26, 30],\n [0, 0, 0, -19, -10, 25, -7, 26, 35, -28, 16, 25],\n [0, 0, 0, 0, ... | 252 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 6, 13, 8, -22, 6, 12, 13, 0, 17, -14, -12],\n [6, -8, -6, 11, -2, 4, 17, 16, 8, -24, 34, 28],\n [13, -6, 13, 14, -2, -17, 2, 4, 24, 13, -1, -14],\n [8, 11, 14, -6, -6, 17, 7, -18, 10, -11, 1, 10],\n [-22, -2, -2, -6, 24, -20,... | 95 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, 11, 21, -4, 16, 24, -11, -1, 12, 10, -24, 28],\n [11, 13, 24, -14, -10, 25, -2, -14, -20, 18, 22, -2],\n [21, 24, 15, -7, 11, 0, -5, -5, -23, -6, 13, -8],\n [-4, -14, -7, 2, -27, -2, 31, -4, -20, 12, -2, 4],\n [16, -10, 11, ... | 104 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, 30, -17, -16, -33, -1, -21, -18, -14, 21, 23, 23],\n [0, -25, -34, -26, -19, 11, 31, 2, 15, -14, 23, -26],\n [0, 0, -5, -10, -23, -20, 0, 0, 9, -11, -12, -17],\n [0, 0, 0, 26, 7, -19, 24, -11, -... | 210 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -10, -28, 34, -2, 16, 8, 30, -11, 12, -27, -20],\n [0, -11, 8, -32, 8, 0, 5, -19, 33, -17, -20, 25],\n [0, 0, -31, 28, -19, 25, 18, 7, 1, 31, -2, 30],\n [0, 0, 0, 24, 18, 16, 24, 13, 9, 17, 16, 28],\n [0, 0, 0,... | 221 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-32, 12, -26, 9, -28, -18, 31, -32, -15, 24, 8, 25],\n [0, -10, 30, -18, 30, -29, -16, 8, 22, 14, -6, 12],\n [0, 0, -31, 19, -35, 14, 7, -6, 32, 33, 5, -15],\n [0, 0, 0, -13, -27, 27, -10, 3, -21, 26, 22, -5],\n [0, 0, 0, 0, 11,... | 32 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, -4, -2, -28, 11, 0, -1, 17, 26, -10, 12, -8],\n [-4, -14, -20, -12, -27, 20, -5, 6, 0, -24, 2, 14],\n [-2, -20, 7, -15, 26, -15, 9, 10, 12, 17, 28, -8],\n [-28, -12, -15, -9, 6, 22, -24, -4, 12, -2, -8, -7],\n [11, -27,... | 513 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[16, -14, 10, -6, -1, -2, -28, -12, -8, 2, 8, 2],\n [-14, 4, -16, 13, -16, 0, 6, 19, 0, 14, 2, 14],\n [10, -16, -27, -2, 6, 34, -5, 4, -9, 19, 3, 13],\n [-6, 13, -2, 23, -24, -2, 4, -2, 22, 2, -4, -28],\n [-1, -16, 6, -24, -2... | 522 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, -11, -32, -1, -16, 12, 16, 2, 12, 9, -3, 23],\n [0, 8, -1, 22, -12, -5, -4, -3, -25, 11, 31, -28],\n [0, 0, -28, -10, -17, 23, -27, -29, 32, -30, 25, -20],\n [0, 0, 0, 30, -5, -7, 23, 35, -8, 24, -30, -30],\n [0, 0, 0,... | 204 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[18, -12, 4, -26, 14, -3, -6, 16, 8, 34, 0, -32],\n [-12, 11, -26, 0, -23, 16, 10, 12, 15, -4, -8, 6],\n [4, -26, -24, -7, 6, 8, -3, 11, -10, 1, 6, 14],\n [-26, 0, -7, 19, 5, -10, 4, 7, 10, 5, 18, 18],\n [14, -23, 6, 5, 23, -14, -... | 108 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, 11, 23, -24, 21, 29, -18, 32, 34, 22, 15, 26],\n [0, -1, -9, 20, -7, 7, -19, 1, 4, 21, -30, 23],\n [0, 0, 7, -21, -21, -26, 32, -3, -27, -9, 26, -25],\n [0, 0, 0, 33, 30, -34, -19, -27, 35, -32, ... | 192 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, 35, -9, -35, -14, -14, 17, 30, 34, 29, 19, 8],\n [0, 2, 32, -31, -13, 24, 6, -12, 6, 12, -30, 31],\n [0, 0, 22, -33, -14, 29, -5, -31, 2, -16, 29, 28],\n [0, 0, 0, -29, 25, 16, -5, -19, -17, -29, -13,... | 30 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 3, -17, -16, 32, -9, 29, 10, 28, 28, 21, 14],\n [0, -33, -32, -9, 1, -13, -9, -34, -26, 8, -9, 1],\n [0, 0, -28, 24, 29, 18, -11, -29, -14, -21, -33, 19],\n [0, 0, 0, 16, 2, -14, 21, -23, 0, 18, 11, 11],\n [0, 0, 0, 0, -14, -... | 33 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, -16, 0, 7, 14, -8, 1, -18, 18, 3, 0, 6],\n [-16, 8, 3, -2, -26, 30, 20, 28, 6, -16, -9, -2],\n [0, 3, 24, 9, -29, -1, 10, -23, 0, 14, 4, -26],\n [7, -2, 9, 21, 30, -3, 18, 13, 2, 0, -2, -6],\n [14, -26, -29, 30, 30, -12... | 548 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 20, 24, 2, -6, -20, -3, 0, 10, 0, 9, -13],\n [20, 8, 17, -14, 11, -14, 1, -10, -3, 11, -6, 12],\n [24, 17, -21, 12, -20, -25, -10, 0, 16, 22, -29, 25],\n [2, -14, 12, 5, 6, -12, -18, -24, 8, 9, 24, 0],\n [-6, 11, -20, 6, -32,... | 99 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[26, -21, -9, -10, -11, -10, -24, 8, 22, -8, 6, 16],\n [-21, -17, 14, -22, -24, -6, 12, -20, 12, -1, -9, -3],\n [-9, 14, -23, 8, 0, 8, 17, 4, 18, 18, -29, 0],\n [-10, -22, 8, -7, 8, -2, -23, 12, -6, -... | 524 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 4, 2, -22, 16, 18, 5, 8, -18, -10, -4, -15],\n [4, -31, -12, 12, 4, -14, -32, -5, 4, -1, 0, -14],\n [2, -12, 0, -14, -24, -2, 0, -22, -11, -18, -14, -1],\n [-22, 12, -14, 29, 3, 12, -20, -10, 30, 4, -6, 7],\n [16, 4, -24, 3, ... | 76 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[4, 4, 3, 0, -2, 4, 24, -8, -12, -20, -22, -14],\n [4, 0, 6, -28, 6, -6, -22, 12, 0, 14, -30, -23],\n [3, 6, 9, 12, 2, 4, 10, 12, -2, 16, -9, -16],\n [0, -28, 12, 4, 2, -22, 8, 4, -18, 6, -26, -7],\n [-2, 6, 2, 2, 18, 4, -24, 5, -... | 87 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-34, 22, -3, 29, 27, -5, 32, -23, -9, 21, -22, 16],\n [0, -27, 3, -29, 21, 19, -29, -20, 11, 27, -3, -15],\n [0, 0, -20, 9, 35, -4, 7, -6, -26, -21, -23, 22],\n [0, 0, 0, 34, 9, -4, 17, -5, 8, 29, -1... | 259 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 0, -18, 9, 8, -12, 0, 26, -6, -24, -27, -12],\n [0, 11, -23, 5, 4, -20, -5, -12, -4, -17, -4, 3],\n [-18, -23, -35, -9, 24, 10, -14, 16, 12, 0, -6, -12],\n [9, 5, -9, 35, 18, 20, 20, -16, 28, -13,... | 526 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -27, 21, -30, 12, 23, 31, -14, -15, -21, 13, 14],\n [0, 33, 5, -14, 26, -26, -17, 7, 29, -9, -28, 18],\n [0, 0, -12, 29, -28, -34, -18, 25, 6, 4, -32, 28],\n [0, 0, 0, -9, 9, -26, 1, -33, -21, 26, -27... | 33 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-23, -23, 18, 26, 18, 8, -13, 5, -2, -16, 17, 12],\n [-23, -21, 4, 21, 4, -18, 24, 10, -28, 2, -1, 13],\n [18, 4, 23, 28, -18, -26, -6, -12, -26, -24, 2, 12],\n [26, 21, 28, 9, 18, 12, -19, 0, 21, -24, -18, 9],\n [1... | 560 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 18, -35, -15, 31, 11, 23, -35, -22, 4, 31, -27],\n [0, -11, 28, 24, -3, -31, 16, -3, -20, -33, -31, 26],\n [0, 0, -18, -24, 7, 14, 4, -1, 21, 20, -8, 26],\n [0, 0, 0, 29, -1, 22, -27, 3, -15, 24, 7, 27... | 31 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -6, 6, -4, -14, 18, 11, 20, 10, -6, -13, -13],\n [-6, -27, 14, -18, -17, 6, 6, -12, 6, -30, 3, -10],\n [6, 14, 5, 7, -15, 12, -2, 23, 16, 14, 24, -22],\n [-4, -18, 7, -35, 2, 12, -1, 10, -20, 8, ... | 504 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[34, 6, -17, -18, -11, 1, 4, -2, 2, 7, -32, 9],\n [6, 30, -6, 8, -32, 10, -2, -8, 30, 4, 4, -6],\n [-17, -6, -32, -14, -22, -6, 21, -12, -16, -5, 0, -10],\n [-18, 8, -14, 7, -16, 24, -18, 20, 8, -20, 4, 6],\n [-11, -32, -22,... | 607 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[28, 22, -10, -20, -3, 7, -3, -6, 10, 26, 10, 10],\n [22, -30, -14, 14, 15, 20, -10, -2, -28, -8, 8, -4],\n [-10, -14, 2, 2, 12, -16, 24, 20, -22, -16, 15, -16],\n [-20, 14, 2, 10, 0, -4, -3, 19, -4, 2, -22, 6],\n [-... | 536 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, -28, -7, -2, 0, 3, -7, 26, -20, 6, 25, 10],\n [-28, -3, 4, 30, -4, -20, -5, 22, -6, 10, -16, -13],\n [-7, 4, -14, 2, -10, -16, -8, 20, 15, 23, -3, -9],\n [-2, 30, 2, 16, 11, -16, -4, -2, 22, -16, 0, 5],\n [0, -4, -10, 11... | 520 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-21, -28, -4, -24, 30, -3, -10, 7, -2, -7, 4, -5],\n [-28, -1, -18, -20, -22, 8, -8, -18, -4, -22, 5, 9],\n [-4, -18, -26, 8, 14, 1, -17, 22, 18, -6, 20, -6],\n [-24, -20, 8, 24, 34, 1, -2, 7, 15, -12, -14, 8],\n [30, -22, 14, 3... | 96 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[11, -2, -16, 3, 16, 14, 32, 5, 7, 13, 35, 11],\n [0, 31, 10, 5, -7, 5, 10, -11, -33, -6, -34, -27],\n [0, 0, -17, -22, -35, -16, 30, 29, -28, -27, 3, 28],\n [0, 0, 0, -20, 13, 12, 24, 25, 8, -12, 15,... | 225 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, -26, 4, 6, 12, 18, 20, -15, 13, 6, 0, 12],\n [-26, 31, 4, -2, 2, -17, 15, -10, 10, -14, 24, 2],\n [4, 4, 32, -8, -10, 26, 20, 0, -4, -16, 12, -15],\n [6, -2, -8, 3, 14, -12, -8, 5, 14, -12, -14, 21],\n [12, 2, -10, 14,... | 547 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[14, -14, 0, -33, -9, -29, 1, 19, 8, 24, 23, 16],\n [0, -34, -19, -6, 12, -34, 30, -9, -15, -31, 29, -11],\n [0, 0, -25, -17, -18, -29, -32, -15, 5, -30, 27, -18],\n [0, 0, 0, 9, 7, 14, -15, -3, -6, -35, 3... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-21, 11, -1, 0, -10, 8, 9, 24, 18, 0, 6, -9],\n [11, 13, 10, -2, -4, -22, -22, -5, -8, 0, -22, 21],\n [-1, 10, -5, -12, 8, -2, 6, -20, -4, 0, 8, -20],\n [0, -2, -12, 11, -7, -2, 18, -12, -4, -16, 24, -27],\n [-10, -4, 8, -7,... | 507 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 24, -7, 28, 10, -34, -33, 6, 32, 26, -6, -5],\n [0, -14, -27, -5, -20, -1, -14, 16, 23, -23, 15, 3],\n [0, 0, 35, 12, 29, 14, 10, -1, 27, -5, 24, -20],\n [0, 0, 0, -11, -8, -12, -15, -25, 17, -20, -25, -22],\n [0, 0, 0, ... | 252 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, -18, -6, 3, -23, 14, 18, -8, -10, 13, 0, 18],\n [-18, -18, 10, 17, 24, -16, -14, 16, -18, -1, -6, 12],\n [-6, 10, -4, 16, 2, 6, 10, 9, -6, -12, 9, 26],\n [3, 17, 16, -13, -18, -13, -12, 2, 31, -4, -19, 12],\n [-23, 24, 2, -1... | 97 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[21, -13, 0, 24, -2, -27, 4, 13, 18, -6, 12, -2],\n [-13, 29, 6, 2, 12, 1, -2, 28, 20, 6, 4, -2],\n [0, 6, -1, -4, -4, 1, -2, -17, -10, 24, 5, -10],\n [24, 2, -4, -33, 24, -4, 18, 6, -3, -10, -22, -2],\n [-2, 12, -4, 24, ... | 82 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -24, 11, -16, 12, 22, 4, 16, -14, -6, 2, 18],\n [-24, -29, 8, -8, 12, 4, -3, -20, -14, -12, 28, -17],\n [11, 8, 8, 1, 10, -14, -30, -12, -7, -12, 28, -33],\n [-16, -8, 1, -21, -13, -6, -1, -12, 2, 11,... | 101 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -14, -31, -17, 25, 21, -15, 31, 17, 24, 25, -24],\n [0, 12, 35, 29, 11, -13, 7, 33, 4, 20, 33, 30],\n [0, 0, -31, 24, 11, 4, -12, -18, 32, 26, -29, -21],\n [0, 0, 0, 35, -7, -11, 19, -15, 13, -24,... | 197 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -20, 2, -11, 10, 0, -10, -26, 18, 9, -20, 1],\n [-20, 19, -30, 0, 5, -18, 21, -8, 4, -2, -6, 6],\n [2, -30, -23, 6, 17, 19, 1, 34, -24, -11, -2, -8],\n [-11, 0, 6, 15, 19, 2, -5, -8, -6, 4, 3, 8],\n [... | 100 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[22, 13, 18, 13, -2, -4, -6, 23, 17, -6, -10, -6],\n [13, -9, 13, -22, 5, -10, -1, -18, 0, -4, 8, 24],\n [18, 13, 8, -13, 0, -8, 25, 9, 0, 15, -6, 15],\n [13, -22, -13, 30, -12, -6, -20, 0, -14, 14, -18, -6],\n [-2, 5, 0, -12, -18... | 79 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 32, -7, -22, -35, -18, -21, -23, -12, -2, -25, 26],\n [0, -11, -4, 29, -7, 5, -14, -35, -20, -20, -33, -33],\n [0, 0, -1, 14, -13, 29, 23, -1, 27, -18, -26, 11],\n [0, 0, 0, 11, -6, 35, -15, 9, 14, -33, -3, 35],\n [0, 0, 0, 0... | 21 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, -4, 25, -30, 26, -1, -25, -22, 9, -10, 4, -2],\n [0, -14, 5, 23, -4, -1, 34, -32, -28, 17, -5, -14],\n [0, 0, -20, -18, -20, -6, -24, -22, -30, -12, -23, 16],\n [0, 0, 0, 3, 12, -10, -8, 29, -23, 9, -33, 14],\n [0, 0, 0, 0, 2... | 28 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, 12, -24, 8, 10, -5, -10, -12, 4, 27, -10, 3],\n [12, 10, 10, -2, -4, 0, -5, 6, 8, 16, 10, 22],\n [-24, 10, 26, 6, 0, 1, -2, -9, 8, -4, 5, 23],\n [8, -2, 6, 8, 6, -2, -15, 5, 11, 11, 12, 0],\n [10, -4, 0, 6, 16, -5, -2, 1, -1... | 75 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, 0, 12, -2, 20, -4, 8, 0, 10, 10, 32, 30],\n [0, 23, 0, -6, -14, -7, 14, 30, 14, 2, -12, 20],\n [12, 0, 16, -6, 20, 12, -17, 10, 20, -10, -2, 23],\n [-2, -6, -6, 5, 14, 8, -14, -5, 14, 6, -5, 8],\n [20, -14, 20, 14, 4... | 91 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-13, 10, -24, -22, -12, 14, 3, 0, -6, 6, 4, -10],\n [10, -4, 28, 10, 15, -22, 6, 7, -19, -3, -8, 8],\n [-24, 28, 9, 2, 28, -2, 21, -2, -22, 8, 0, -8],\n [-22, 10, 2, 25, -10, 8, 2, -11, 20, -8, 16, -10],\n [-12, 15,... | 512 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[18, -18, 8, 20, 8, 0, -4, 19, 12, -13, -12, 12],\n [-18, 6, -3, 12, 0, -2, -4, 14, 16, -14, 0, 19],\n [8, -3, 34, 14, -20, -15, 6, 6, -4, 11, -2, -17],\n [20, 12, 14, 8, -21, -9, 5, -20, 0, 8, -6, 0],\n [8, 0, -20, -21, -19... | 488 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, -26, -15, -1, 14, -2, 12, 18, 32, -26, -5, -25],\n [0, -31, -14, 3, 5, -25, 22, -25, 12, 17, 21, 4],\n [0, 0, 25, 16, -8, 30, 6, 33, -1, -27, -29, 21],\n [0, 0, 0, -4, -12, 3, -2, 3, 4, -21, 13, 24],\n [0, 0, 0, 0, -21, -30, 2... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[19, -20, 28, 26, -23, 12, -6, -6, 6, -1, 0, 16],\n [-20, -28, 3, -2, 22, 18, -2, 28, -7, -2, -8, 12],\n [28, 3, 18, -6, 10, 10, -5, -3, 24, -10, -10, 6],\n [26, -2, -6, 23, -8, 15, -20, 8, -9, 12, 16... | 566 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-30, 8, -5, -1, -1, -17, -3, 23, 11, 35, 32, -34],\n [0, -2, 17, -11, -14, 1, -35, -4, 12, -29, 31, 30],\n [0, 0, -23, 8, 26, 32, 11, -6, -1, 15, 17, -26],\n [0, 0, 0, -31, -4, 3, -8, 35, 15, -34, 12, -9],\n [0, 0, 0, 0, -27, -3,... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[14, 9, -1, 26, 21, 10, 33, -6, 14, -21, 0, 3],\n [0, -9, 18, -34, 34, -32, 11, 12, 21, 29, 22, 15],\n [0, 0, -2, 1, 19, 8, 32, 7, -26, 30, -20, -1],\n [0, 0, 0, 6, -32, 27, -13, -25, -13, 25, 33, 16]... | 131 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[14, 14, 16, -8, -11, -18, -8, -20, -2, 30, 6, 0],\n [14, 15, -10, 26, -10, -4, -2, -6, -22, 18, 8, 29],\n [16, -10, 34, -8, -30, -3, -16, 22, -24, -11, 16, 20],\n [-8, 26, -8, 16, -12, -6, 14, 22, 8, -14, -25, -18],... | 579 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[22, 21, -27, -26, 8, 17, -9, 16, 28, 18, -23, -5],\n [0, -9, -23, 10, 15, 7, -17, -7, 31, -17, -23, 2],\n [0, 0, 9, 21, 13, 30, 3, 11, -3, 14, 30, -3],\n [0, 0, 0, -8, 8, -23, -7, 4, -27, -7, -32, -17],\n [0, 0, 0, 0, 23, -2... | 210 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-33, 4, 10, -9, 10, 0, 11, -17, -3, -4, -4, -22],\n [4, 30, 13, 9, -5, -2, -15, 16, -8, 29, -27, 4],\n [10, 13, 26, -20, 10, 4, 7, 6, -12, -9, -32, -7],\n [-9, 9, -20, -14, 22, 0, 2, -14, 10, 12, 14, -4],\n [10, -5, 10, 22, ... | 504 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, -14, 2, 8, 15, -11, -8, 16, -13, 24, -12, -4],\n [-14, 14, -27, -10, 18, -14, -18, 7, -9, 4, 2, -2],\n [2, -27, -10, 6, 3, -2, -14, -24, 8, -10, -2, -4],\n [8, -10, 6, -10, -33, 21, 12, -16, -15, 5, -28, -10],\n [15, 18... | 460 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 18, -14, 8, 4, 14, -14, 6, -4, 14, 10, -11],\n [18, 31, 18, 4, -5, -16, 32, 11, 7, 0, 2, 16],\n [-14, 18, -31, 10, 28, -12, 6, -20, 22, 20, 8, -4],\n [8, 4, 10, 32, 18, 0, 10, 18, -20, 6, 26, -6],\n [4, -5, 28, 18, -14, ... | 595 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, -2, -11, -6, -10, -24, 13, -2, 0, 19, -2, -10],\n [-2, 28, -26, -14, 0, -4, -12, 2, 12, 8, 2, 8],\n [-11, -26, 18, 18, 2, -8, 18, -16, -10, -20, -15, -2],\n [-6, -14, 18, -31, 10, -10, 10, 16, 24, 19, -16, 0],\n [-10, 0, 2, ... | 81 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, -14, 7, 4, -2, -10, 12, -14, 0, 30, -4, 22],\n [-14, -14, -6, 7, -16, 1, 17, 7, 30, -18, -24, -2],\n [7, -6, -10, -24, 2, 3, -2, -14, -24, -1, 14, -28],\n [4, 7, -24, 11, -2, 19, 10, -4, 12, 10, -8, -4],\n [-2, -16, 2, -2, -1... | 94 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, 3, 16, -29, -14, 26, -9, -4, 1, -14, 15, -12],\n [3, -19, 6, -8, -18, -12, 0, 10, -14, 3, 27, 18],\n [16, 6, -16, 1, -13, -19, 0, -2, -4, 7, 7, -15],\n [-29, -8, 1, 9, -8, 10, -8, -33, -2, 8, 10, -5],\n [-14, -18, -13, ... | 509 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -8, 8, 5, -21, 7, -4, 16, 10, -9, 16, 0],\n [-8, -29, -3, -11, 2, -17, 12, 26, -16, -2, 22, 8],\n [8, -3, -3, 3, -1, -10, 30, 2, -11, -4, 16, 24],\n [5, -11, 3, -1, 21, -15, 28, -6, 2, 21, -8, 14],\n [-21, 2, -1, 21, -34, -28... | 104 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-29, 3, -18, 26, -6, -9, -14, -10, -12, -32, 0, 18],\n [3, -8, 7, -8, 6, 16, 0, -13, 17, -7, 14, 6],\n [-18, 7, 3, 2, 18, -13, -28, -26, 4, -8, 6, 12],\n [26, -8, 2, -34, -30, 2, 20, 21, -1, 13, -24, -2],\n [-6, 6, 18, -30, 24, ... | 119 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -14, -1, -8, 28, 8, 0, -16, -1, -6, 16, -20],\n [-14, 30, -13, 4, 2, 12, -12, 1, 1, -30, 9, -14],\n [-1, -13, 30, 8, 3, 16, -20, -12, 9, 35, 14, 4],\n [-8, 4, 8, -12, -34, 14, -22, 8, 20, -30, 2, -10],\n [28, 2, 3, -34, ... | 586 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, -34, -10, 25, 32, -27, 18, 22, -9, -33, 30, 29],\n [0, -32, 16, 29, -21, 6, 29, 20, -34, 9, 27, 11],\n [0, 0, -35, 23, 11, -31, -7, 17, -25, -14, 9, 26],\n [0, 0, 0, 32, -19, -34, -16, 19, -25, 30, 9, ... | 35 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, -16, -4, 12, 10, -2, 33, 16, -18, 8, 6, 5],\n [-16, 0, 20, 10, -14, -3, -26, 10, -25, 24, -8, -18],\n [-4, 20, -30, 1, 10, 27, 1, 14, -5, -20, -11, -2],\n [12, 10, 1, 35, -8, 16, -10, 7, -14, -15, 2, 0],\n [10, -14, 10, -8, ... | 79 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[14, -22, -2, 14, -7, 2, 30, -26, 0, 10, -12, -25],\n [-22, -20, 0, 12, -20, -22, -14, -22, 22, 27, -4, 4],\n [-2, 0, -12, 4, 13, 18, -21, -12, 4, -19, 28, 2],\n [14, 12, 4, -21, -11, 3, 0, 0, -4, 14, 24, -14],\n [-7... | 550 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[29, 34, -28, 20, 12, 6, -2, -4, -14, 1, -18, 14],\n [34, 23, 12, -14, -14, -11, -14, -8, 12, 4, -16, 20],\n [-28, 12, -34, 11, -4, -22, -22, -15, 14, 2, -27, -5],\n [20, -14, 11, 4, 13, -3, 14, 27, -2, 14, -26, -6],\n [12, -14, ... | 88 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, 11, -31, -18, 11, 34, -30, -24, -34, -33, -11, -12],\n [0, 10, -3, 35, -25, -30, 14, 33, 28, 26, 21, -19],\n [0, 0, -13, 10, 13, 34, -16, -10, 27, -17, -32, 20],\n [0, 0, 0, -10, 12, -4, -14, 15, -4, -22, -35, 7],\n [0, 0, 0,... | 35 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, 4, -7, -30, -11, -20, 3, 10, -16, 24, -8, -24],\n [4, -28, -18, -14, 10, 13, 5, 7, -19, -14, 4, -2],\n [-7, -18, 24, 6, -34, -2, -22, 16, -28, -16, -15, -24],\n [-30, -14, 6, -23, 27, 0, 24, 12, 19, -1, -10, -2],\n [-11, 10,... | 95 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[21, -6, -6, -15, 10, 0, -14, -20, -7, -4, -16, 27],\n [-6, 11, -4, -12, 6, 4, 1, 19, -2, 0, 11, 4],\n [-6, -4, -24, -4, -4, -5, 10, -2, -2, -4, -1, -34],\n [-15, -12, -4, -22, 6, 11, 12, -8, -1, 0, 0, -12],\n [10, 6... | 559 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-15, 4, 16, 0, -10, 14, 4, 18, 16, -8, 16, -14],\n [4, 0, -18, -18, -1, 4, -10, 14, -18, 1, -24, 3],\n [16, -18, -5, -14, 20, 14, 2, -2, 20, 32, -14, -7],\n [0, -18, -14, -9, -13, 23, -10, -7, 9, -26, 14, 6],\n [-10... | 582 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 5, 17, -2, -11, 17, 4, -11, -6, -27, -6, -26],\n [5, 3, 0, 0, 24, -18, 18, -6, -10, 4, 3, -11],\n [17, 0, -35, -18, 18, 20, 20, -24, -2, 7, 8, -28],\n [-2, 0, -18, 10, -18, 11, 6, -8, -16, 14, -2, 10],\n [-11, 24... | 551 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, -18, 13, 5, -12, -6, -21, -20, -18, -35, -25, 3],\n [0, 3, -19, -1, -3, 17, 28, -9, -14, 6, 17, 29],\n [0, 0, -5, -23, -31, -8, -32, -7, -4, 7, -22, 27],\n [0, 0, 0, -2, 8, -22, -18, 9, 9, -11, 18, -34],\n [0, 0, 0, 0, 4... | 128 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, 5, 11, 7, 0, 0, -30, 10, 2, -13, 26, -24],\n [5, 30, 15, -4, -14, 8, -17, 8, -14, -13, -4, -12],\n [11, 15, 2, 25, -10, 11, -6, -21, 4, 2, 18, 13],\n [7, -4, 25, -28, 0, -23, -1, -24, 6, -4, -2, 16],\n [0, -14, ... | 539 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, 1, 10, -3, -4, -14, -5, 0, -10, 6, -8, 11],\n [1, -34, -15, 10, 26, -13, -16, -18, 10, -4, -1, 13],\n [10, -15, -17, 31, 32, -10, -2, 6, -8, 17, 7, -20],\n [-3, 10, 31, -19, -5, 10, -4, 4, 16, 8, 8, -18],\n [-4,... | 523 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 8, 2, -27, 8, -22, -1, -14, 10, -32, 15, 4],\n [8, -21, 6, 25, -10, 19, -1, 27, 5, -12, 0, 14],\n [2, 6, 1, 14, -27, -2, -2, 33, -7, -27, -3, -4],\n [-27, 25, 14, -30, -10, -14, -20, -4, 5, 10, 18, -24],\n [8, -10, -27, -10, ... | 113 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-30, -34, -13, 19, 9, -14, 0, -34, -19, 11, -25, -14],\n [0, -34, 34, 9, 24, -25, 6, 17, 1, -31, -11, 34],\n [0, 0, 20, -10, -19, -21, 31, -7, 28, -7, 19, -5],\n [0, 0, 0, 34, -35, 3, -15, -8, 27, 17, -16... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -2, 20, -10, -13, -2, 28, -1, -13, 22, -34, -5],\n [-2, -10, 3, 2, -4, 13, -9, -12, -14, -7, 3, -16],\n [20, 3, -25, 4, -24, 6, -3, -22, 0, 10, -12, 10],\n [-10, 2, 4, 3, -12, 10, 10, 22, 19, -14, 4, 2],\n [-13... | 496 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, -4, -12, -3, 2, 16, 18, -8, 8, 0, 3, -16],\n [-4, -5, 2, -26, 16, -4, 12, 24, -16, 2, 5, 7],\n [-12, 2, 15, 2, 22, -29, 9, 28, -5, -24, -3, -16],\n [-3, -26, 2, 10, -26, -12, 7, -10, -6, -14, 11, 14],\n [2, 16, 22, ... | 100 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[25, -5, 15, 10, 29, 12, 8, -8, 0, 2, -10, 20],\n [-5, 5, 26, -1, -16, -4, -10, -2, 6, -21, -1, 30],\n [15, 26, 31, 0, 20, 1, 6, 13, 14, -8, -6, 0],\n [10, -1, 0, 20, 13, 24, 14, -2, 8, -3, -21, 11],\n [29, -16, 20, 13, 3, 1... | 496 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-27, -13, -16, -5, 3, 2, 22, 6, 0, 28, -8, 15],\n [-13, -6, 16, -2, 28, -8, 10, -10, -14, 21, 10, 10],\n [-16, 16, 19, 15, -15, -20, 21, -13, -26, 14, -22, 0],\n [-5, -2, 15, 22, 0, 8, 8, 0, -6, 2, -15, 6],\n [3, 28... | 562 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[22, -20, -12, -15, -21, 4, -23, -25, 12, 21, 0, -14],\n [-20, -32, -23, 5, -12, -13, -20, -22, 9, 7, 13, 8],\n [-12, -23, 1, -14, -32, -8, -22, -8, 34, 10, -18, 0],\n [-15, 5, -14, 19, -8, -24, -10, -13, 12, -18, 18, 8],\n [... | 565 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, -6, 12, 7, 15, 24, -26, 14, 1, -27, 9, 3],\n [-6, -21, -22, 25, -14, 7, 8, 6, 4, 33, 8, 32],\n [12, -22, -18, 16, 12, 0, 6, -3, -14, 10, 24, 4],\n [7, 25, 16, 18, 4, 12, -4, 4, 26, 16, 10, 13],\n [15, -14, 12, 4, 20, 6... | 550 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-7, -16, 32, 12, 2, -17, 4, -16, -14, 18, -18, 10],\n [-16, -29, 14, -6, -13, 4, 6, 10, 16, -6, 10, 8],\n [32, 14, 12, 24, -6, 12, -24, 10, 9, 22, 12, -22],\n [12, -6, 24, 32, -6, 11, -10, 0, 4, -31, 10, 14],\n [2, -13, -6,... | 511 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, 33, -19, 24, 27, -2, -20, 15, -27, -9, 12, -6],\n [0, -14, -12, 2, -30, -19, 19, 24, 16, -12, 15, -21],\n [0, 0, -25, -35, -19, 15, 18, 30, 30, -21, 22, -32],\n [0, 0, 0, 16, 10, 21, -25, 1, -20, 33, ... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[31, -16, 3, -7, -2, -4, -8, 23, -22, 4, 10, 9],\n [-16, 19, -22, 22, -31, -14, -2, -16, -2, 0, 21, 6],\n [3, -22, 13, 26, -8, -20, -16, -12, -14, 11, 7, 6],\n [-7, 22, 26, 6, -4, -15, 10, 6, -2, 7, 24, 6]... | 88 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[9, 6, 9, 1, -8, 13, -14, 15, 7, -16, 6, 2],\n [6, 5, 4, 5, -2, -16, 2, 11, 5, -27, -9, -21],\n [9, 4, -16, -4, 6, -12, -20, 24, -2, -8, 4, 4],\n [1, 5, -4, 17, 16, 6, -3, 7, -2, -12, 14, 15],\n [-8, -2, 6, 16, -14, -28, -11, 4, ... | 86 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, -32, 2, 14, -24, -25, -4, 22, -3, 7, 2, 14],\n [-32, 0, 14, 0, -23, 18, -15, 20, -7, -26, -5, -9],\n [2, 14, 2, 10, -10, -12, -8, -2, -11, 12, 6, 8],\n [14, 0, 10, 16, -5, 0, 2, -8, 19, 22, 18, -13],\... | 89 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, 12, 4, 18, -1, 9, -7, -28, -28, 34, 24, -4],\n [12, 3, 9, 14, 8, -6, 8, -3, 10, -2, -24, 2],\n [4, 9, -18, 16, -3, -5, 4, -16, -4, 26, 17, 20],\n [18, 14, 16, -31, -7, 4, -3, -20, 16, -14, 0, 0],\n [-1, 8, -3, -... | 532 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, 10, 14, 1, -22, -21, 26, 12, 12, -6, -10, -2],\n [10, -10, 10, 6, 15, -3, 14, -3, 17, -8, -1, -16],\n [14, 10, 17, 12, 25, 22, -18, -16, 4, 5, -16, -12],\n [1, 6, 12, 14, -2, 14, 4, -5, 3, 6, 12, 21],\n [-22, 15, 25, -2... | 523 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-29, 10, -3, 6, 25, -10, 18, -30, -12, 22, -19, -8],\n [10, 5, -19, -10, 3, 21, 28, -26, -20, -20, -11, 1],\n [-3, -19, -13, 14, 12, 2, -34, 6, -22, -32, -9, 2],\n [6, -10, 14, 33, 2, 13, 12, 12, -3, 20, 0, -26],\n [25, 3, 12, 2,... | 102 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 8, -21, -6, -9, 16, 2, -24, -7, -32, 1, -28],\n [8, 17, -4, -4, 2, -5, 20, 18, 2, -14, -12, 14],\n [-21, -4, 16, -6, 2, -26, -2, 0, -5, 4, -15, -12],\n [-6, -4, -6, -27, 4, -14, -22, -13, -5, 20, 10, -14],\n [-9, 2, 2... | 101 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 13, 8, -32, 20, -25, -25, 23, 12, -17, -32, -5],\n [0, 15, 14, 19, -33, 34, -26, -35, 9, 16, -3, -21],\n [0, 0, -3, 27, -14, -9, -17, -25, -23, 35, -12, 10],\n [0, 0, 0, 1, -14, -14, -33, 17, -12,... | 102 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-31, 11, -29, 22, 17, -26, -32, 26, 35, 18, 33, 31],\n [0, 15, -16, -4, -19, 2, 21, -11, 18, 4, -27, -32],\n [0, 0, 5, -29, 12, -13, -32, 24, 30, 18, 9, 20],\n [0, 0, 0, 23, -9, 19, 19, 22, 15, -7, 20, 2],\n [0, 0, 0, 0, 3,... | 206 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-31, -2, -1, -16, -34, -2, 2, 17, -6, -9, -4, -1],\n [-2, 22, 14, 10, 6, 0, 2, 18, 4, -2, 14, 17],\n [-1, 14, 17, 24, 10, 5, -4, -8, -20, 0, -2, 3],\n [-16, 10, 24, 31, -22, 25, 28, -14, 4, 22, 20, -8],\n [-34, 6, 10, -22, 10, 2... | 92 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[19, 24, 9, -8, -26, -4, -9, 13, -10, 16, 6, -16],\n [24, -16, -18, 8, 4, 14, -1, 4, 2, -14, 8, 10],\n [9, -18, 11, -11, -12, -16, 14, 32, 0, 18, 2, 24],\n [-8, 8, -11, -23, -20, -6, -15, 15, 1, -4, 20, 8],\n [-26, 4, -12... | 90 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[33, -15, 8, 6, -10, -26, 0, 11, 26, -27, -30, 0],\n [-15, -27, -28, 10, -4, -4, -27, 4, 27, 29, -23, -10],\n [8, -28, 16, -14, -16, 3, -4, 0, 28, 12, -23, -4],\n [6, 10, -14, 9, -19, 2, -12, -6, -18, 24, -2, 4],\n [-10, -4, ... | 579 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 7, -9, 10, 10, 19, 14, -10, 1, 4, 0, -8],\n [7, 30, -28, 8, 9, 2, 20, 2, -8, -10, 10, -4],\n [-9, -28, -13, -2, 10, -10, 17, -10, 12, -17, -6, -2],\n [10, 8, -2, 34, 30, 15, 24, -3, -12, -5, -15, 6],\n [10, 9, 10, 30, -... | 500 | MATH |
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