messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[21, 14, 6, -21, -22, -6, -2, -16, -10, 2, 16, 10],\n [14, 30, 8, 7, -9, 10, 6, 1, -11, 18, -16, 10],\n [6, 8, -11, 8, -10, 5, -4, -2, -14, -30, 0, 21],\n [-21, 7, 8, -11, 2, 22, -6, -6, 0, 5, 21, -30],\n [-22, -9, -10, 2, -10, 8... | 111 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, -16, -16, -3, -26, -4, 4, 2, 16, -14, 2, -5],\n [-16, 11, 8, 10, -30, 6, -4, 12, 6, -27, 7, 5],\n [-16, 8, -13, 11, -19, 22, 12, 1, -5, 4, -5, -16],\n [-3, 10, 11, 30, -7, -2, -17, -1, -34, 18, -24, ... | 108 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[15, -4, -10, -3, -8, 12, -26, 10, -14, -4, 1, -4],\n [-4, -6, -12, 4, 18, -32, 16, -16, 17, -2, 18, 12],\n [-10, -12, 13, -4, -5, 12, -14, 16, 9, -12, -8, 3],\n [-3, 4, -4, -25, 4, 10, -14, -6, 18, 0, 14, 0],\n [-8, 18, -5, ... | 463 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-26, 2, 13, 10, -29, 12, 6, -24, 4, -8, -7, 16],\n [2, -2, 14, 1, 8, -20, 0, -8, 6, -2, 7, -10],\n [13, 14, 3, -2, 0, 0, -12, 0, 2, -12, -22, 11],\n [10, 1, -2, -18, -26, 18, -15, 0, -6, -17, -18, 18... | 515 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-32, 32, -16, 27, -8, -15, 3, 10, 21, -29, -17, -31],\n [0, 9, 5, 6, -4, 10, -32, -30, 31, -34, -15, -22],\n [0, 0, 14, -32, 21, -20, -25, 27, 20, -7, 11, 2],\n [0, 0, 0, -11, -27, -15, 19, 30, 34, -16, -33, 8],\n [0, 0, 0, 0, -... | 32 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-34, -2, -13, 14, -3, 6, 4, -18, 16, 4, 20, -10],\n [-2, -17, 0, 4, 5, -10, -20, -2, 12, 28, -8, -6],\n [-13, 0, -18, 12, 10, 5, 18, -11, 18, 26, -14, 35],\n [14, 4, 12, -20, -10, 14, 18, -6, -4, 0, 2, 4],\n [-3, 5, 10, -10,... | 483 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-33, -6, -15, -1, 16, -18, 24, -8, 22, 29, -31, 24],\n [0, 33, 24, -18, -1, 32, -16, 33, 28, -7, 28, -35],\n [0, 0, 5, -18, -28, -11, 4, 12, -14, 35, 28, 27],\n [0, 0, 0, 23, -17, -10, 21, 17, -21, -... | 220 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 4, 29, -20, 11, -29, -19, -19, 25, -33, 9, 23],\n [0, -4, 31, -35, -28, -6, 19, 20, -30, -4, 31, 32],\n [0, 0, 31, 2, -12, -24, -27, -35, -16, 20, -4, 33],\n [0, 0, 0, -28, -13, -29, -12, 12, 26, -28, 9, 5],\n [0, 0, 0, 0, -... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 14, 14, 3, -10, -28, 7, 4, -8, 28, -15, -17],\n [14, -11, 2, 11, 6, -15, -13, -14, 10, -4, -18, 10],\n [14, 2, -17, 0, 14, -14, -12, 2, -2, -15, -1, 0],\n [3, 11, 0, 5, -4, 0, -12, 10, -2, 5, 10, 16],\n [-10, 6, ... | 480 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 18, 26, 12, 9, 16, 2, -23, 8, -14, -6, 8],\n [18, 26, -3, -10, 8, 34, 8, -20, -9, 10, -6, 10],\n [26, -3, -26, 6, 20, 9, 6, -22, -16, -24, 6, -29],\n [12, -10, 6, 14, -4, -10, 15, 24, -2, 18, 15, 0],\n [9, 8, 20, -4, ... | 91 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-26, 7, -5, -5, -5, -16, 1, 23, -12, 23, -7, 9],\n [0, -28, 24, 31, -10, -16, -5, 6, 14, -4, -30, -4],\n [0, 0, -4, -35, -25, -24, -15, -15, -26, -27, -24, -4],\n [0, 0, 0, 33, -31, 35, 20, -14, -5, -18, -28, -3],\n [0, 0, 0, 0,... | 35 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-26, 12, 22, 9, -23, 24, 0, -12, -8, 14, 9, 8],\n [12, -21, -8, 18, -13, -16, -24, 22, 12, -15, 16, -6],\n [22, -8, 7, 2, -5, -4, 3, 0, 28, -10, -28, 6],\n [9, 18, 2, 16, -22, -9, -5, -29, 20, 8, 1, -32],\n [-23, -13, -5, -22, -... | 103 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, -12, 31, -18, 3, 25, 8, -8, -6, 15, -3, 28],\n [0, -8, -22, 33, 18, 13, -29, 8, 24, -35, 15, 2],\n [0, 0, 23, 26, 3, 27, -4, -15, -13, -21, -35, -7],\n [0, 0, 0, -26, 10, 11, 19, -18, 35, -26, 23, -2],\n [0, 0, 0, 0, -21, -1... | 33 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, -2, 2, -24, 13, 2, -30, 24, 27, 12, 18, -2],\n [-2, 23, -6, -24, -31, -15, 8, -18, -24, -20, 14, 4],\n [2, -6, 12, 16, -12, 24, -20, 1, -18, 0, 15, -23],\n [-24, -24, 16, 5, -2, 5, -8, 17, -5, 15, 16, -10],\n [13, -31, -... | 573 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 16, -6, 21, -31, -14, 15, -35, 10, 6, 6, 28],\n [0, 33, -17, -22, -21, 15, -20, 17, 19, -13, 0, -18],\n [0, 0, 9, -29, 33, -16, 10, -3, -21, -2, -31, -27],\n [0, 0, 0, -27, 14, 0, -27, -5, 9, 19, -21, 5],\n [0, 0, 0, 0, 24, ... | 33 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-9, 11, 32, -19, -9, 15, 23, 23, -12, 18, -23, -22],\n [0, 34, 16, -15, -6, 18, -17, 23, 11, 30, -35, 16],\n [0, 0, 12, -24, 19, -33, 30, -30, -14, 31, -15, 1],\n [0, 0, 0, 35, 1, 4, 27, 16, -4, -9, 6, 16],\n [0, 0, 0, 0, -1... | 264 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-28, -25, -16, 8, 23, -19, -24, -15, 31, -32, 18, -9],\n [0, -2, -35, 23, 16, 9, -18, 14, -2, 18, 18, 16],\n [0, 0, 17, -12, 14, 9, 25, -29, 9, -2, -26, -25],\n [0, 0, 0, 15, 35, -8, 26, -21, 2, 13, -35, ... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, -22, -10, -24, -9, -30, -9, -22, -14, 13, -16, -33],\n [0, -11, -9, -34, -14, 30, 12, 17, -35, 18, 3, -26],\n [0, 0, 10, -19, -33, 23, -9, -21, 9, 5, 31, -31],\n [0, 0, 0, -22, 25, -33, -33, 9, -1... | 169 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-17, 6, 6, 4, -2, 2, 12, 15, -5, -10, -4, 4],\n [6, -14, 2, 1, -22, -24, -3, -14, -8, 31, 2, -2],\n [6, 2, 35, 17, 8, -14, 4, -21, 5, -24, -9, -11],\n [4, 1, 17, -12, 1, -5, 25, 11, -26, -24, 10, -6],\n [-2, -22, 8, 1, -20,... | 535 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[27, 6, -16, 0, -8, 12, -7, 8, -28, -9, -26, 2],\n [6, 24, -2, -28, -20, 0, -8, 6, 1, 32, -29, 23],\n [-16, -2, -29, -27, 10, 24, 26, -10, -16, -19, -6, 8],\n [0, -28, -27, -20, 10, 23, 0, 0, 4, 0, 22, -13],\n [-8, -20, 10, 1... | 557 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, -14, -8, 12, 14, 20, 17, 15, 28, -2, 7, 11],\n [-14, -16, 18, 16, -27, 15, -4, -8, 9, 4, 16, 28],\n [-8, 18, -33, 16, -6, 14, 0, -22, -16, 11, -4, -2],\n [12, 16, 16, -5, 7, -34, -18, 6, 12, 16, 10, 30],\n [14, -27, ... | 86 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, -18, 8, 10, -16, 14, 8, -10, 6, -22, 4, 2],\n [-18, 2, -6, 0, 22, 12, -2, -20, -3, 17, -3, -19],\n [8, -6, 11, -24, 19, 16, -25, 13, -25, 10, 22, 7],\n [10, 0, -24, 23, 26, 4, 3, 12, -20, 24, 0, -15],\n [-16, 22, 19, 26,... | 557 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-20, 6, -11, -1, 4, -11, 15, -18, 10, -5, -14, 4],\n [6, -19, -4, 19, -32, -4, 8, -10, -2, -10, -7, -20],\n [-11, -4, -35, -6, 30, 6, -2, -23, 28, 23, -4, 0],\n [-1, 19, -6, -18, -2, -3, -16, -2, 2, 0, -10, 16],\n [4, -32, 3... | 492 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[21, -18, 8, -6, -2, 24, -14, -4, -18, 4, -6, -23],\n [-18, 19, 8, 18, 18, 6, -8, 2, -12, -2, -7, -2],\n [8, 8, 5, 4, -34, 16, -16, -6, -20, -20, 4, 4],\n [-6, 18, 4, -21, -19, -10, -18, -10, -20, 19,... | 522 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-30, -12, -9, 27, -12, 19, -26, -16, -14, 9, 16, -17],\n [0, 12, 34, 11, -23, -28, -31, 32, -1, -21, -1, -3],\n [0, 0, 24, -15, 31, -1, -35, -18, -30, -17, -5, 12],\n [0, 0, 0, -28, 34, 32, -24, -21, 15, 32, -26, -6],\n [0,... | 254 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[31, -26, -30, 2, -18, -16, -30, -6, -20, -11, 15, -20],\n [0, 1, 28, 35, 24, 19, 16, 20, -19, -9, -33, -7],\n [0, 0, -22, 20, -14, -12, -25, -7, 2, 34, -27, 9],\n [0, 0, 0, -15, 24, 23, -15, -25, -16, -19... | 33 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[19, 2, 15, -29, 3, -26, -22, -18, -24, -8, 6, 14],\n [2, 35, 8, -6, -14, 12, 7, -18, -12, 18, 11, 6],\n [15, 8, -30, 6, 20, 28, -4, 34, 14, -18, -10, -2],\n [-29, -6, 6, 33, -5, -22, 25, 6, 16, -12, 6, 10],\n [3, -14, 20, -5, -8,... | 105 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, 8, 24, 17, -19, 0, 30, -34, -16, -26, 33, 22],\n [0, 27, 3, 26, 24, -4, 27, 3, -18, -12, -34, -20],\n [0, 0, 20, 26, 35, 24, -16, 28, 32, 13, -10, 16],\n [0, 0, 0, -6, -32, -5, -22, -11, -8, -21, 31, -27],\n [0, 0, 0, 0, -8, ... | 27 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[34, -12, 9, 12, 18, -14, -20, 9, 10, -2, -24, -27],\n [-12, -11, -7, 2, -23, -5, 18, 26, -16, -10, -4, -6],\n [9, -7, 30, 21, 8, 12, -1, 0, 2, -16, 4, 20],\n [12, 2, 21, -19, 16, 28, 4, 2, 4, -10, 5,... | 520 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[27, -6, -19, 10, -30, 20, -29, -12, -10, -10, 32, 8],\n [-6, 24, -5, 22, 10, 11, -12, -2, 14, -2, 16, 32],\n [-19, -5, 10, 12, 24, -10, -28, 0, -16, -16, 1, 4],\n [10, 22, 12, -8, -10, -6, -22, -18, -12, -24, -7, 11],\n ... | 90 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, 26, 9, 11, -6, 14, 24, -10, 1, 13, -26, 0],\n [26, -2, 18, -10, -15, -14, -5, 1, -13, -22, 7, -6],\n [9, 18, -19, -10, -18, -8, -8, 0, 20, -4, -16, 2],\n [11, -10, -10, -2, -2, -20, 22, 4, -6, 14, 25, 8],\n [-6,... | 508 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 12, 4, 34, 6, 18, -32, -10, 29, -32, -30, -2],\n [12, -9, 6, 10, 12, 10, -10, 6, 10, -18, -14, -4],\n [4, 6, 26, -6, 9, 4, 24, 17, -13, 13, 6, 4],\n [34, 10, -6, 35, -6, -4, 16, 20, -24, 4, 6, -25],\n... | 123 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[29, -18, -2, -16, 4, -4, -4, -3, -9, -10, 1, -24],\n [-18, -13, -18, 19, 13, -8, 20, -23, 12, -6, 0, -10],\n [-2, -18, -11, -8, 26, -16, 5, 9, -8, 6, 11, 0],\n [-16, 19, -8, -17, -12, 28, 24, -8, -4, 24, -24, 4],\n [4, 13, 2... | 465 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-35, -35, -9, 32, 1, -12, 8, -30, 3, 29, -21, 28],\n [0, -19, -10, 17, 5, 9, -10, 15, 2, 14, 6, 6],\n [0, 0, -31, 2, -27, 34, 33, 5, -9, 4, 17, -13],\n [0, 0, 0, -7, 22, -19, 34, -18, -23, 28, 24, 25... | 237 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-27, -6, 4, 4, 6, -2, 2, -1, -18, 24, 12, -20],\n [-6, 23, -12, -12, 6, -26, 15, 10, -13, 12, -23, -6],\n [4, -12, 2, -14, -13, 0, 4, 26, -12, 14, 0, -12],\n [4, -12, -14, 25, -30, 1, 3, -16, -6, -24, -7, 12],\n [6, 6, -... | 87 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-30, -21, 2, 5, 20, -18, -1, 9, -7, 33, -4, -31],\n [0, 14, -15, -14, 25, 3, -31, -3, 35, -12, 3, -21],\n [0, 0, 12, -16, -15, -24, 30, -6, -29, 22, -18, 24],\n [0, 0, 0, -30, 9, 24, 35, -12, 33, -19, 26, -3],\n [0, 0, 0... | 33 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[14, -8, -24, -8, -8, 22, -17, -4, 29, -5, -1, -6],\n [-8, -3, 16, -26, 12, -22, -9, 11, 8, 5, -14, -10],\n [-24, 16, -23, -15, -3, -16, 2, 15, 0, -12, -19, 16],\n [-8, -26, -15, -20, 2, 2, 12, 4, 8, 2, 8, 29],\n [-8, 12,... | 85 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[28, 0, 6, -8, -23, 2, 17, 21, -4, 4, -22, -2],\n [0, 27, 24, -18, -23, 30, -8, 27, 8, 4, 11, 4],\n [6, 24, 21, -14, -25, -20, -7, -6, -4, 14, 10, 11],\n [-8, -18, -14, 5, -9, 10, 10, -15, 8, -24, -9,... | 539 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-27, -6, -18, -6, 24, 19, -26, -23, 5, -34, -31, -3],\n [0, 1, 25, 22, -24, 5, -8, 0, 6, 18, 18, 2],\n [0, 0, 22, -27, 12, -18, -24, -9, 0, 13, -27, -2],\n [0, 0, 0, -31, -21, -18, -21, 30, -15, 25, -32, 12],\n [0, 0, 0, 0, -1, ... | 31 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -31, 14, -11, -11, 6, -5, 11, 15, 19, 24, -9],\n [0, -23, -1, 12, -22, 0, 17, 3, -31, -26, -34, 3],\n [0, 0, 20, -14, -3, 34, 22, -6, 27, 31, -24, -26],\n [0, 0, 0, 20, -30, -5, -3, 27, 2, -10, -20, -12],\n [0, 0, 0, 0... | 230 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-23, 13, 20, 20, 16, 14, -23, 24, 12, -26, -8, -22],\n [13, 9, 6, -24, -3, 6, -24, -3, 16, 24, 6, -8],\n [20, 6, 32, 0, -19, 24, -12, 20, 6, 18, 4, -10],\n [20, -24, 0, -9, -12, 0, 23, -4, 10, -24, -22, 22],\n [16, ... | 571 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[30, 30, 0, 21, 20, 11, -8, 0, -13, -6, -18, -22],\n [30, -12, 12, 21, 3, -2, -26, 5, 5, -20, -4, -32],\n [0, 12, -7, -18, -10, 26, 16, 28, -4, -3, 14, 28],\n [21, 21, -18, -19, 5, 4, 7, -8, 7, 26, -6, 1],\n [20, 3, -10, 5, ... | 574 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, 0, -14, -13, 10, 7, 33, 21, -3, -18, 0, -30],\n [0, -18, 16, 10, 3, -8, 5, 10, -12, -10, 6, -10],\n [-14, 16, 7, 20, -6, -8, -22, 20, 13, 0, -18, -18],\n [-13, 10, 20, 34, 28, -18, -16, 2, 28, 2, -4, -10],\n [10, 3, -6, 28, ... | 97 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[31, 13, 8, 7, 12, -4, -14, 14, 5, 2, -13, -4],\n [13, -27, 12, 0, 6, 17, 3, 10, -24, -26, 10, -4],\n [8, 12, -6, -2, -29, 15, -16, 14, 20, -22, -5, 19],\n [7, 0, -2, -9, -3, 6, 26, -14, -10, 9, 18, 2],\n [12, 6, -29... | 545 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 10, 10, 11, -28, 32, 6, -14, 20, -14, 12, -12],\n [10, 29, -8, 12, -4, 2, 6, -27, -20, -1, 34, 3],\n [10, -8, 22, -2, -10, 4, -8, 0, -26, 6, -24, -4],\n [11, 12, -2, -26, 32, -8, -14, 4, -16, -10, 28, -27],\n [-28, -... | 96 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, 20, 26, -12, -8, -8, 16, 8, 19, 14, -1, -18],\n [20, 24, -22, -26, -15, 21, -14, 0, 12, -17, -16, 20],\n [26, -22, -29, 23, 0, 8, 16, 19, 4, -8, 9, -6],\n [-12, -26, 23, 17, 9, 6, -6, -14, -12, -21, 20, -4],\n [-8, -15, 0, 9,... | 95 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-30, 24, 23, -13, -4, -1, 19, -1, -34, -12, 26, 8],\n [0, -14, 15, -20, 20, -6, 30, 1, -18, -17, -27, -5],\n [0, 0, 4, -13, 24, -26, -6, -11, -9, -19, -9, -13],\n [0, 0, 0, -19, -3, -4, -22, -32, 26, -19, -22, -30],\n [0, 0, 0, 0... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[31, -22, 4, -33, -34, -16, 2, 10, 10, -15, -2, 0],\n [-22, 34, -13, -26, -28, 0, 4, -6, -12, -1, -6, -11],\n [4, -13, 24, -10, -18, -21, -24, 9, 20, 13, 4, -12],\n [-33, -26, -10, 3, 8, 17, 10, 20, -1, 27, -18, 20],\n [-... | 97 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, -21, 0, 4, 22, -8, -16, 14, -2, -14, -20, 6],\n [-21, 12, -15, 8, 14, 10, 9, -10, -4, -24, 21, -10],\n [0, -15, -13, -27, -2, 20, 6, -24, 11, 6, -18, 22],\n [4, 8, -27, -7, 4, 1, -12, -7, 3, 17, -10, 10],\n [22,... | 567 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-17, -28, -32, -30, 21, -9, 25, 26, 22, -15, 22, -27],\n [0, 22, -7, 8, -7, 1, -30, 31, 3, -29, 11, 19],\n [0, 0, -17, 17, 33, -16, 22, -27, -25, 7, 5, 32],\n [0, 0, 0, 29, 22, -20, -14, 18, -13, 32, -33, 5],\n [0, ... | 205 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, 3, 12, -5, 8, 0, -8, 22, -20, 24, 2, 30],\n [3, 27, 0, 7, -2, 4, -13, -1, 0, -20, 0, -20],\n [12, 0, 3, 22, -19, 8, -15, 2, -22, -8, 15, 8],\n [-5, 7, 22, -34, 22, -24, 18, 4, -26, -3, 4, 4],\n [8, -2, -19, 22, 35, 0, -2... | 582 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, -12, -20, 16, 25, 15, -31, 34, 5, 23, 24, -31],\n [0, 4, 6, 5, 27, -8, 7, -11, 20, -29, 13, 25],\n [0, 0, 18, -11, -12, 9, 28, 32, 26, -27, -22, -15],\n [0, 0, 0, -12, -27, -34, 35, 17, 7, 30, 32, -31],\n [0, 0, 0, 0... | 35 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[23, -8, 8, 7, 18, 4, 16, -23, -6, -31, -21, 11],\n [-8, 4, -10, 8, -20, 12, 12, -15, -16, -10, 8, 10],\n [8, -10, 16, 7, -4, 5, 6, -7, 20, 20, -12, -20],\n [7, 8, 7, -7, 2, 28, -4, 10, 9, 18, 10, -3],\n [18, -20, -4, 2, -29, -2, ... | 82 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, 17, -2, -6, -14, 0, 4, -2, 0, 0, -30, -10],\n [17, 25, 0, 18, -6, 11, 8, -8, 1, 2, -22, -4],\n [-2, 0, -26, 0, -6, -8, 16, 12, -2, -14, 24, 18],\n [-6, 18, 0, 16, 6, -4, -12, 3, 22, -3, 3, 10],\n [-14, -6, -6, 6, 32, 3, -22,... | 94 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 8, 24, -4, 7, -9, 8, 12, -4, 2, 5, 9],\n [8, 25, -12, -16, -23, -6, 18, 4, -14, 15, -6, 4],\n [24, -12, 34, -6, -6, -12, 0, 6, 18, 16, -10, 7],\n [-4, -16, -6, -15, -16, 20, -18, 16, 20, -5, 8, -22],\n [7, -23, -6, -16, 2... | 477 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, 17, 24, 14, -22, -22, 18, 29, 19, 2, -19, 17],\n [0, 4, 7, 11, 17, -27, 27, -9, -11, 23, -25, 32],\n [0, 0, -16, -19, -13, -32, -25, 30, -20, 1, 9, -4],\n [0, 0, 0, 16, 32, 20, -23, 27, 9, -20, 20, 29],\n [0, 0, 0, 0... | 33 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, -16, 21, -10, 6, -24, -32, 25, -16, -10, 0, 24],\n [-16, -2, -5, 22, 6, -1, -30, -2, -7, 17, -11, 9],\n [21, -5, 2, 6, -3, 16, 26, -6, 9, 0, 9, 32],\n [-10, 22, 6, -17, 2, 26, -18, -18, -6, 1, -15, -18],\n [6, 6, -3, 2, ... | 598 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[34, 6, -4, 0, -22, 4, 24, 3, -18, 16, -6, -23],\n [6, -18, -22, -23, 12, 2, -19, 0, 9, 19, 32, 1],\n [-4, -22, -2, 16, -11, 18, 6, 0, -5, -4, -7, -20],\n [0, -23, 16, 10, 34, -32, -12, 22, -13, -10, 8, 18],\n [-22, 12, -11, 34, ... | 102 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[15, 11, -32, -35, 18, -13, 0, -1, 35, 19, 4, 13],\n [0, -17, 10, 32, 25, 34, 21, -22, -5, 16, -21, 25],\n [0, 0, 32, -15, -25, 21, -22, -24, -24, -28, -34, -8],\n [0, 0, 0, 32, -31, -28, 4, -9, 20, -17, 4... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-35, 29, 21, -3, 8, 12, -35, -19, 9, 9, 19, 16],\n [0, -9, 7, 5, 31, -16, 23, 23, -12, -10, -31, -7],\n [0, 0, -4, 25, 0, 4, -17, -33, 25, -20, 24, -25],\n [0, 0, 0, -20, 25, -10, -20, -8, 19, -10, -32, -15],\n [0, 0, 0, 0,... | 220 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, 4, 10, 0, -8, -10, 6, 0, -4, -4, 2, -10],\n [4, 16, 30, 33, 0, 2, -24, 21, -18, -2, -4, -18],\n [10, 30, 3, 20, -15, -5, 15, -30, -31, -28, 12, 20],\n [0, 33, 20, 17, -31, 4, -2, -21, 26, -3, -6... | 567 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[18, -20, 10, -9, -18, 14, -13, 11, 2, 4, 6, 2],\n [-20, 26, -19, -14, -12, -4, 24, -6, 13, -24, -12, 11],\n [10, -19, 12, 6, 2, -32, 0, 13, -4, -10, 21, 12],\n [-9, -14, 6, 27, 0, -10, -26, 12, 11, -8, 14, 4],\n [-18, -12, ... | 521 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[28, -33, 28, 17, 2, 19, 18, 0, 7, -4, 24, 34],\n [0, -10, -17, -18, -6, 0, 6, -12, -3, 34, -2, 27],\n [0, 0, -1, -2, -4, 2, 19, 9, -34, 29, 19, 4],\n [0, 0, 0, 8, -1, -31, -24, -6, -35, 25, -9, 33],\n [0, 0, 0, 0, -31, 13, ... | 217 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[31, -18, -26, -30, 10, 3, -18, -26, -1, 2, 32, -10],\n [-18, -1, -18, -8, 0, 0, 20, -2, 11, 2, -12, -2],\n [-26, -18, 10, 6, -4, 4, 6, 8, 21, -10, 5, 2],\n [-30, -8, 6, 31, -23, 14, 11, -18, 4, 19, -8, 6],\n [10, 0, -4, -23, 24, ... | 111 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[25, -16, 4, -13, 4, -19, -6, 0, -4, 2, 6, -22],\n [-16, -33, 12, 15, 16, -2, -12, -23, 20, 5, -13, -4],\n [4, 12, -11, -14, -16, 34, -6, -15, -10, -6, -29, 6],\n [-13, 15, -14, 4, 33, 0, 26, -26, 4, 12, -30, 7],\n [4, 16, -16, 33... | 85 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, -35, -19, 2, 5, -25, 20, 29, 9, -24, 24, -24],\n [0, -29, -30, -1, -35, 4, 4, -11, -29, 20, -3, -35],\n [0, 0, 18, -7, 34, -27, -16, 23, 11, 22, 33, -18],\n [0, 0, 0, 16, 25, -3, -16, 32, 14, -6, -19, -5],\n [0, 0, 0, 0,... | 214 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[31, 34, 18, 14, 27, 6, -27, 27, -3, -30, 26, -22],\n [0, 20, 7, -32, 31, -19, -3, 18, 33, -7, -8, -25],\n [0, 0, -1, 9, 34, 28, 33, -32, 15, 26, -9, 26],\n [0, 0, 0, 21, -19, 1, 3, -29, -20, -27, -19... | 228 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-11, 6, 22, 2, -9, -7, -3, -4, 18, -21, -17, 8],\n [6, -3, -11, 19, 28, -28, 9, -14, -32, 12, -16, -18],\n [22, -11, -35, 19, 15, -7, -12, 6, 2, -10, -3, -6],\n [2, 19, 19, -13, 9, -6, -6, 12, 22, -4, 5, ... | 82 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, -4, 3, 26, -30, -2, -4, 0, 32, 1, 16, -2],\n [-4, 26, 20, 6, 13, -12, 2, 6, 14, 26, -3, -10],\n [3, 20, 19, -10, 5, -4, 7, -19, 30, -20, -8, -4],\n [26, 6, -10, -7, -11, -2, 16, -11, -4, 16, -22, 13],\n [-30, 13, 5, -11,... | 551 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[20, -35, 2, 8, 22, 21, 6, -25, -31, 28, -30, -4],\n [0, -9, -10, 16, 28, 20, 11, -28, -31, 15, -15, -13],\n [0, 0, 27, 14, -26, -13, 24, -31, -29, 17, -19, -24],\n [0, 0, 0, -18, 27, -13, -24, 10, 16, 30, 22, 4],\n [0, 0, 0, 0, 1... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 20, 6, -30, 10, 28, 6, -10, 14, 2, -3, -22],\n [20, -31, -23, 1, 15, 22, 6, 4, -10, -14, -28, 32],\n [6, -23, -14, 25, -25, -8, -6, 20, -23, 10, -12, -22],\n [-30, 1, 25, -3, 12, 13, 13, 6, -15, ... | 614 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-23, -20, -24, 6, 4, -4, -30, -12, 28, 9, -8, 8],\n [-20, 31, 18, -8, 17, 6, -10, -26, 16, -23, 4, -22],\n [-24, 18, -32, -19, -18, -1, -6, 1, -12, 13, 15, -7],\n [6, -8, -19, -35, -21, 6, -6, -17, -12, -22, -27, -25],\n... | 110 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 14, 15, -26, -3, -11, -4, 19, 14, -16, -10, -3],\n [14, -4, 32, 18, 30, 24, 32, 21, -4, 2, -14, -8],\n [15, 32, -13, 18, 5, -20, -13, 16, 20, -12, 7, 16],\n [-26, 18, 18, -11, 4, 0, -16, 19, 10, -17, -6, 14],\n [-3, 30, 5, 4,... | 91 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-32, -15, -1, -10, 26, 5, 0, 25, 30, 14, -8, 14],\n [-15, -20, -22, 6, 5, 16, -19, 6, -14, 20, 12, -6],\n [-1, -22, -12, 23, 4, 26, 23, -2, -6, -24, -2, 6],\n [-10, 6, 23, -19, -18, -20, -19, 0, -15, -17, 26, 6],\n [26, 5, 4... | 537 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[19, 31, 2, 21, 13, -34, 17, -28, 27, -31, 27, -6],\n [0, 29, 34, -16, -26, -3, -32, -20, -5, -26, 23, 29],\n [0, 0, -15, -8, -27, -15, 27, 28, -29, 13, -17, -33],\n [0, 0, 0, -25, 15, -16, -16, 19, -13, -28, -32, -22],\n... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -16, -2, 20, 6, 9, 5, 10, -18, 11, 10, 7],\n [-16, -34, 10, -6, -4, -22, 17, 18, -2, -4, 13, 4],\n [-2, 10, -25, -15, 14, -4, 27, 13, 3, -20, -14, 8],\n [20, -6, -15, 35, 5, -8, 14, -2, 2, -14, ... | 500 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-30, 15, 20, -12, 20, -6, 28, 11, 6, -22, 2, -18],\n [15, -22, 12, 20, 5, 0, -2, 2, -3, 5, 28, -8],\n [20, 12, 3, -4, -1, 26, 3, -18, 6, 2, 26, 22],\n [-12, 20, -4, -27, 0, -16, -30, 1, -2, 20, -20, ... | 545 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -14, 22, -6, 13, 12, 4, 8, 23, 20, -8, 1],\n [-14, 17, -28, -2, -6, 27, -8, -14, -16, 8, -13, -10],\n [22, -28, 5, 14, 13, 14, 10, -4, 10, 10, -2, -2],\n [-6, -2, 14, -14, 14, 8, 9, 11, 20, -9, 0, 6],\n [13, -6, 13, ... | 86 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[34, 3, 8, 27, -34, -14, 27, 4, 0, -8, 17, 12],\n [3, -21, -10, 4, 7, -2, -12, 6, -11, -18, -20, 21],\n [8, -10, 4, -20, 32, 22, -10, -24, -2, 8, -10, 0],\n [27, 4, -20, -16, -4, -25, 30, 4, 1, -14, -6, -22],\n [-34, 7, 32, -... | 561 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, 16, 22, -22, -23, -12, -28, 12, 12, 12, -8, 4],\n [16, -28, -5, -2, 12, -5, -10, 18, -3, 0, 24, 13],\n [22, -5, -9, 5, -19, -8, -16, -22, 33, -5, -2, -18],\n [-22, -2, 5, 11, 21, -4, -4, -13, -8, 8, 17, -24],\n ... | 536 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, 12, 0, -8, 1, 10, 22, 18, 0, 20, 14, 26],\n [12, 14, 0, 16, 0, 18, -22, 3, -14, -6, 29, 11],\n [0, 0, 34, -9, -3, -15, -13, 29, -4, 12, 4, -18],\n [-8, 16, -9, -33, 24, 2, -20, -6, -3, 15, 2, 2],\n [1, 0, -3, 24, -25, 0, -6, -... | 86 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-3, -1, -31, 21, 12, 1, 5, -4, 34, -20, -32, 9],\n [0, 15, -9, 8, -26, 28, 9, -18, 34, -18, 30, 15],\n [0, 0, -34, -28, -21, -16, -30, 11, -15, -32, -15, -31],\n [0, 0, 0, -4, 24, -2, 1, -8, 34, -25, 23, 25],\n [0, ... | 158 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[25, 22, -12, 12, 17, -17, -30, -2, 14, 10, 2, 10],\n [22, 20, -6, -2, 12, -1, 0, 11, 8, -20, 16, -11],\n [-12, -6, 1, -30, -12, -13, -2, -30, 2, 22, 22, -23],\n [12, -2, -30, 31, -6, 5, -18, 8, 7, -2... | 529 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[19, 10, 35, 4, -17, 3, 31, 13, -16, 5, 11, 33],\n [0, -32, 25, 2, 22, 33, -13, -25, -10, -27, 25, -15],\n [0, 0, -10, 22, -5, 2, 18, 28, -9, 7, -35, 28],\n [0, 0, 0, 22, 5, -8, 20, -17, -11, 7, 26, 27],\n... | 32 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, -28, -12, 16, -6, 24, 0, -28, -20, -28, 28, -16],\n [-28, 23, -18, -14, 9, -10, -18, 31, -12, 16, -12, -8],\n [-12, -18, -4, 18, 22, -12, 25, -10, -10, 28, -22, -11],\n [16, -14, 18, 22, 20, 32, 5, -5, -25, 28, -4, -24],\n [... | 111 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, 20, -31, 32, -34, -1, -29, -10, 21, 13, 24, -25],\n [0, -27, -2, 15, 30, -13, -21, 22, -24, 32, 35, 12],\n [0, 0, 27, -8, 25, 11, -19, 7, 15, -10, 28, -29],\n [0, 0, 0, 11, -24, -14, -23, -30, 15, 8, -34, -3],\n [0, 0, 0, 0,... | 32 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 15, 3, -19, 3, 25, -7, 14, -28, 23, -32, -23],\n [0, 29, 26, -7, -5, 27, -14, 16, -30, 21, -29, -26],\n [0, 0, 23, 15, -17, 14, 21, -20, -25, 30, -22, 2],\n [0, 0, 0, 31, -3, 21, -27, -26, -12, 19, 30, 5],\n [0, 0, 0,... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-35, -24, -16, -3, -8, 6, -21, 14, -13, 28, -3, -3],\n [0, -33, 4, -15, 30, 14, -18, 21, -4, 12, 3, -7],\n [0, 0, 30, 5, -22, 20, -13, -25, 34, 22, 13, 3],\n [0, 0, 0, -32, -2, -34, -34, -18, -29, 6, -24, -11],\n [0, 0, 0, 0... | 259 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, 16, -24, 24, 15, -2, -8, 4, 10, 12, 22, -9],\n [16, -28, 16, 0, 2, -32, 4, 14, -10, 0, 12, -6],\n [-24, 16, 20, -16, -2, 15, 15, 0, 16, 0, 7, 8],\n [24, 0, -16, 20, 21, -12, -26, -19, 26, 0, -26, -1],\n [15, 2, -2, 21, 2... | 590 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, -6, -14, -2, -19, 6, 10, -16, 2, 0, 0, 16],\n [-6, -21, 18, 7, -10, -11, 2, 20, 4, -12, -2, -2],\n [-14, 18, 15, -18, -22, -9, -8, 13, -5, 0, -4, -13],\n [-2, 7, -18, -16, -4, 4, -6, -11, -2, 11, -3, -7],\n [-19, -10, -22... | 463 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 6, -8, 12, 12, 10, 14, 8, 16, 12, -9, 34],\n [6, 16, 2, 24, -4, 11, 28, 8, 14, -2, 10, 3],\n [-8, 2, 20, -18, -27, 6, -11, -10, 2, 14, -19, -20],\n [12, 24, -18, -14, -7, 1, -34, -10, -9, 2, -12, 0],\n [12, -4, -27, -7, -21, ... | 87 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, 25, -26, -14, 17, -10, 15, -7, -11, -14, 21, 24],\n [0, -32, -15, 20, 31, 26, 20, -23, 3, 4, -35, -26],\n [0, 0, 5, 20, 11, 4, 20, -30, -1, 4, -26, -28],\n [0, 0, 0, 2, 21, 15, 20, 27, -11, 24, 29, 5],\n [0, 0, 0, 0, 8, ... | 205 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, 10, 10, -6, -8, -14, 22, -6, -28, 6, -8, -19],\n [10, -5, 0, -10, 16, 8, -22, 23, 8, 21, 26, 4],\n [10, 0, -29, 0, 34, -16, 22, 16, 14, -4, 12, -10],\n [-6, -10, 0, 33, 12, 0, 14, 17, 9, 6, -2, -26],\n [-8, 16, 34, 12, -8, 11... | 90 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, 1, 15, -12, 28, 24, -2, 18, -5, -15, 12, -10],\n [1, 8, -10, 16, -16, 0, 14, 21, 32, 24, 15, -6],\n [15, -10, 21, 14, 14, -10, 24, 14, 5, -18, 20, -4],\n [-12, 16, 14, 21, 24, 14, -15, -24, 20, 22, -... | 110 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-34, -31, -3, 12, -21, -30, -24, 34, 25, -6, -2, -20],\n [0, -25, -14, -34, -35, 1, -5, -31, 30, 24, 15, -14],\n [0, 0, 26, 10, -1, -3, -3, 23, -10, -34, 8, -16],\n [0, 0, 0, 20, -33, 14, -17, -6, 28, 17, -34, 10],\n [0,... | 34 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, -5, 1, 18, 13, 2, -5, 17, -4, -32, -12, 5],\n [-5, -11, 8, 1, -6, 1, 1, -2, 0, -8, 0, -4],\n [1, 8, -32, -17, -2, -15, -6, -26, 21, -5, -2, -15],\n [18, 1, -17, -9, -14, 4, 16, -19, 16, -15, 20, 8],\n [13, -6, -2, -14, -13, ... | 80 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[29, 0, -18, -15, 12, 5, 14, 6, 13, 10, 4, -4],\n [0, 24, 20, -18, 14, -3, -24, 16, 11, -15, 8, -13],\n [-18, 20, 5, 13, -18, -25, -4, 5, 0, 18, 18, -4],\n [-15, -18, 13, -17, -17, 6, 5, -8, -12, 12, 17, -4],\n [12, 14, -18, ... | 512 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, -10, 4, -2, 2, 5, -23, -29, -35, -34, 35, 15],\n [0, -10, 3, -11, -26, 2, -1, 16, -9, 16, 24, -15],\n [0, 0, 20, 22, -17, -6, -7, -32, -17, -34, -18, 30],\n [0, 0, 0, 16, 28, 11, -35, -31, -1, 21, 2, -16],\n [0, 0, 0, 0,... | 187 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, 14, -22, 8, -9, 13, 18, 34, 13, -12, 33, 8],\n [0, 16, 35, -28, 8, -11, 3, -3, 7, 5, 19, -28],\n [0, 0, 16, 35, -2, -10, 23, -4, -5, -12, -14, -31],\n [0, 0, 0, 3, -3, -5, -19, -22, -11, 12, -19... | 233 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-35, 2, 2, -6, 4, -23, 12, 6, 4, 0, -8, -22],\n [2, -26, -12, 8, -4, -10, 4, -1, -13, 24, -4, -12],\n [2, -12, 32, 26, 8, -16, -6, 8, 7, -8, 0, 14],\n [-6, 8, 26, -12, 12, 16, -12, -2, 10, 19, -25, -8],\n [4, -4, 8, 12, 14, ... | 513 | MATH |
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