messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, -20, 13, 8, -7, 1, -20, -6, -2, 4, -2, 12],\n [-20, 34, -6, 11, -14, 6, -2, 8, -20, 22, 6, -23],\n [13, -6, -6, -10, 12, -32, -28, -12, 8, -15, -26, 19],\n [8, 11, -10, 28, -4, -17, -13, 28, 5, 0, 10, -22],\n [-7, -14, ... | 550 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-17, -5, 18, -12, 24, -2, 23, 8, 8, -1, -4, -6],\n [-5, 0, 6, 3, -20, -20, -23, -8, 14, 16, 12, -24],\n [18, 6, 4, -2, -9, -2, 7, 0, -24, -22, 4, -2],\n [-12, 3, -2, -35, -7, -26, -6, 4, -16, -6, 0, ... | 477 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -9, 28, -2, -10, 8, 17, -32, 1, -21, -18, -2],\n [-9, 8, -6, -28, 6, 5, 14, -20, -2, 4, -2, -9],\n [28, -6, -32, 14, -11, 7, -13, -12, 27, 2, 0, -28],\n [-2, -28, 14, -35, 23, -11, -8, -20, -26, 25, -28, -27],\n [-10, 6,... | 583 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[29, -18, 16, -24, 16, -24, 14, -16, 6, 16, 24, 5],\n [-18, -1, -26, 24, 1, 4, -4, 20, -3, 5, 21, 2],\n [16, -26, -27, -5, -3, 15, -25, 5, -4, -23, -2, -18],\n [-24, 24, -5, 29, 6, 6, 10, -4, -10, 5, -18, -2],\n [16, 1, -3, 6... | 547 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, 6, 2, -20, -9, 23, -15, 8, -8, -14, -4, 0],\n [6, 11, -22, -14, 4, 2, 9, 0, 2, 19, 2, -1],\n [2, -22, 15, 2, 7, -12, 10, -4, -10, 4, -9, -10],\n [-20, -14, 2, -7, 0, 8, 30, -11, 10, 23, -10, -4],\n [-9, 4, 7, 0, -6, 12, ... | 464 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-12, -12, 5, 12, 22, -17, 12, 3, 16, -8, 24, 10],\n [-12, 6, -4, -7, 10, 12, 28, 0, -4, 6, -18, 15],\n [5, -4, 9, 0, -22, 8, 16, 2, -31, 3, 13, -12],\n [12, -7, 0, 18, 11, -16, 1, -25, -13, 6, 2, 16],\n [22, 10, -22, 11, 10... | 493 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, -23, 15, -34, 23, -22, 13, -6, -27, -12, 5, 24],\n [0, 11, -15, 6, 34, -34, -5, 20, -6, 27, -21, -18],\n [0, 0, 26, 16, -14, -22, -2, 20, 17, 13, 27, -20],\n [0, 0, 0, -13, 12, 10, -14, 18, 4, -6, 19, 20],\n [0, 0, 0, 0, 17, 2... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[35, 35, -12, 2, 14, -12, 20, 26, -6, 16, 28, -23],\n [35, 34, -4, 24, 9, -10, 8, 4, -2, -14, -10, 0],\n [-12, -4, 19, 10, -2, -17, 26, -14, -1, -6, -24, -11],\n [2, 24, 10, -2, 10, 19, 5, 9, 32, -9, ... | 563 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, 18, -9, 5, 28, -14, -25, 1, -29, -8, -16, 21],\n [18, 1, -3, 11, 11, -8, -28, 2, 4, 6, -14, -10],\n [-9, -3, 14, -27, -26, 4, -14, 2, -16, 2, 4, -2],\n [5, 11, -27, 20, 8, -4, 9, -20, -28, -6, -12, 22],\n [28, 11, -26, 8,... | 547 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-12, 6, -20, -15, 17, -1, 0, -4, -1, -14, -30, -7],\n [6, 33, 20, 18, -1, 6, 6, 4, 16, 13, -6, -3],\n [-20, 20, -27, -19, -13, -10, 20, 26, -3, 27, -18, -10],\n [-15, 18, -19, -16, -4, 9, 2, 4, -6, -12, 1, 12],\n [17, -1, -13, -4... | 95 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 0, -10, -6, -4, 11, 2, 34, -16, 7, 32, -1],\n [0, -19, 22, -20, 15, -8, 4, 11, 10, -19, 6, 16],\n [-10, 22, 15, 26, 22, 6, -8, 26, -1, -6, 0, -7],\n [-6, -20, 26, 10, 12, -28, 14, -3, 6, -22, 29, 2],\n [-4, 15, 22, 12... | 90 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, -5, 25, -4, 28, -4, 5, 30, -19, 34, -3, 10],\n [-5, 12, -29, 8, -4, -2, -4, 5, 8, 12, 30, 29],\n [25, -29, -4, 15, -1, -4, -16, -2, 11, -14, 16, 26],\n [-4, 8, 15, 19, -3, -12, -10, 9, 8, -6, 4, ... | 554 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 28, -31, 8, -18, 21, 4, 10, 22, -12, -8, 10],\n [0, 18, -3, 31, -1, 3, 11, 35, -31, 1, -35, 20],\n [0, 0, -28, 28, 21, -8, -10, -2, -14, -16, -22, -13],\n [0, 0, 0, 1, -35, -17, -21, -35, -5, 16,... | 231 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -20, -17, 1, 25, -10, 28, -23, -2, -13, -16, 18],\n [0, 23, -16, 3, -4, 5, 33, 32, -15, -12, -20, -4],\n [0, 0, -29, -20, 17, -32, 9, -4, 22, -23, -14, 8],\n [0, 0, 0, -24, -22, 0, 9, -12, -33, 15, 19, 2],\n [0, 0, 0, 0, 31, 6... | 32 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, -14, 22, -25, 17, -27, 31, 16, -23, -35, 8, -12],\n [0, 30, -16, 28, -21, 32, 18, -25, -13, -35, 6, 11],\n [0, 0, -34, 9, -9, 25, -25, 33, -7, -11, 18, 12],\n [0, 0, 0, 25, -25, 8, -4, 13, -30, 21, -... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 3, 16, 22, 16, -16, -8, 20, -14, 26, -2, 24],\n [3, 7, 10, 15, -6, -24, -6, 8, 2, 18, -19, 0],\n [16, 10, 26, 7, 2, 4, 13, -23, 2, -17, 8, 8],\n [22, 15, 7, -18, 8, 2, -16, 10, 16, 18, 2, -1],\n [16, -6, 2, 8, 12... | 517 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[28, -31, -18, 1, 18, -4, -8, 9, -8, 29, 34, 6],\n [0, -20, -23, -15, 23, 11, 3, 7, -9, 1, -33, -29],\n [0, 0, 29, -22, 13, 1, -30, -30, -8, -23, -23, -26],\n [0, 0, 0, -28, 24, -31, -9, -17, 7, 7, -1... | 251 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[16, 4, 9, 30, -22, 10, 10, -4, -22, 16, -8, -3],\n [4, -16, 10, -4, 8, -3, -18, 6, -30, 26, 10, 6],\n [9, 10, 1, 25, -6, 19, -12, 8, -11, 6, 4, -30],\n [30, -4, 25, -10, 30, -4, -1, 9, 20, 16, -29, -2],\n [-22, 8, -... | 531 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[23, -32, -20, 12, 30, -28, 8, -15, -10, -1, -21, 4],\n [0, 30, -23, -35, 7, -8, -35, 4, -2, -23, 25, 30],\n [0, 0, 0, 25, 22, -21, -24, 33, 25, 6, -4, -34],\n [0, 0, 0, -23, -7, -23, 22, 27, 11, 2, 3... | 233 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[28, 23, 26, -26, 28, 24, -16, 13, -9, 15, 21, 1],\n [0, -7, 32, 11, 33, -15, 6, -15, -34, 33, -29, -1],\n [0, 0, 10, 19, -35, 18, -35, 27, 19, -9, -21, -27],\n [0, 0, 0, -25, -12, 18, -5, -14, -22, -31, -19, 35],\n [0, 0, 0, 0, ... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, 33, 21, -18, -20, 15, 4, 3, 20, 18, 8, 10],\n [0, 12, 25, 30, 2, 7, -32, -31, 22, 1, -10, -27],\n [0, 0, 27, 34, -9, 18, -5, -4, -34, -18, -8, 35],\n [0, 0, 0, -32, 16, 32, 21, -23, 29, 27, 35, -11],\n [0, 0, 0, 0, 18,... | 229 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[24, -26, 17, -28, 1, -32, -13, -27, 2, 9, 9, -18],\n [0, -34, 12, -19, -20, 9, 12, -12, 29, -3, -32, -35],\n [0, 0, -33, 9, -15, 28, 21, 4, 26, 7, 10, -12],\n [0, 0, 0, 21, 8, 12, -9, -6, 10, -24, 24, -17],\n [0, 0, 0, 0, 6, 32, ... | 34 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[6, -23, -6, 3, -28, 2, 14, -12, -14, -26, 21, 8],\n [-23, 0, -12, -2, -18, 28, 11, -14, 9, -13, -4, -7],\n [-6, -12, 4, 12, -3, -15, 4, -8, 15, -21, -2, -16],\n [3, -2, 12, -5, -3, -16, -31, 20, -4, 8, -8, 0],\n [-28, -18, -3, -3... | 93 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[33, 24, -16, -8, -26, -8, -2, 20, -2, -4, -8, 14],\n [24, -9, 18, 26, 7, -7, -26, -2, 20, 6, 1, 12],\n [-16, 18, -33, -22, -12, -11, 17, -5, -22, 0, 20, 8],\n [-8, 26, -22, 28, -2, -32, 2, -8, 8, -20... | 558 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-32, -21, 8, -6, -12, -8, 18, -6, -28, -9, -12, 7],\n [-21, -9, -15, 2, -7, -2, -20, 28, 4, 2, 30, -11],\n [8, -15, -28, 21, 20, 16, 14, 1, -9, -16, -3, -18],\n [-6, 2, 21, 30, 25, -14, 25, -5, -11, ... | 580 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, -4, 11, 20, -12, 16, -30, -10, -8, 25, -10, -1],\n [-4, 27, 11, 22, -22, 8, -20, 8, 3, -4, -18, 10],\n [11, 11, -24, 7, 26, 14, -12, -7, 7, 26, 7, -25],\n [20, 22, 7, -34, 6, 8, -26, -28, 17, 7, 6, -9],\n [-12,... | 585 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[34, -2, -6, -4, -22, 0, -4, -10, 16, -6, -25, 8],\n [-2, -30, -16, -8, 2, -6, 4, -4, 2, -4, -28, 6],\n [-6, -16, -1, 8, 0, -8, 0, 19, 5, -18, -13, -15],\n [-4, -8, 8, -33, -30, -18, 6, 30, 15, 20, 12, 14],\n [-22, 2, 0, -30, 6, ... | 81 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, -29, -34, 26, -31, -16, 18, 27, 0, -20, 21, 28],\n [0, 15, -9, -29, 5, -23, 30, -33, -25, -31, 24, -34],\n [0, 0, 18, -24, -18, -18, -19, 3, -23, 9, -17, -17],\n [0, 0, 0, 12, -1, 23, -19, 12, 19, -27, -22, -10],\n [0,... | 201 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, -16, 12, 10, 3, -6, 12, 5, -6, 21, -14, -8],\n [-16, -32, -10, -6, 12, -27, -6, -17, -6, 13, 18, -6],\n [12, -10, -5, 2, 4, -4, -9, -4, -21, -4, 10, 12],\n [10, -6, 2, 20, 16, -14, -9, 14, -23, -6, 32... | 83 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[11, -12, 21, -18, 21, 10, 7, -20, -22, -27, 33, 25],\n [0, -17, 28, 2, -26, -20, 33, 6, 8, 17, -1, 0],\n [0, 0, -24, -1, 14, 4, -14, 11, 30, -26, 7, 33],\n [0, 0, 0, -8, 9, 31, -24, -25, -33, 25, 30, 20],\n [0, 0, 0, 0, 3, ... | 180 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-9, 16, -8, -6, -14, -8, -7, 24, 2, 6, 10, 5],\n [16, 1, 8, -26, 2, 0, 30, 10, 9, 10, -18, 4],\n [-8, 8, 21, 17, 6, -23, 2, 4, 5, 2, -2, -8],\n [-6, -26, 17, 11, 5, 6, -10, 11, 11, -4, 22, -4],\n [-14, 2, 6, 5, 18, -10, 6, 17, 2... | 116 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, -24, -28, 2, -2, 0, -18, 0, 4, 6, -15, -21],\n [-24, -21, 16, 2, 5, 10, -21, 25, 4, 7, 16, -9],\n [-28, 16, -6, -18, 10, 26, 1, 11, -6, -16, 3, 28],\n [2, 2, -18, 28, -26, -24, -20, -20, -10, -18, -2, -12],\n [-2, 5, 10,... | 548 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, -6, 2, -4, 10, 28, 8, -6, -8, -6, -5, 16],\n [-6, -35, 18, -2, -12, 2, -4, 2, -24, 16, 14, 8],\n [2, 18, -34, 27, -19, -2, 2, 6, 22, -11, -18, -2],\n [-4, -2, 27, 1, 6, -2, 18, -23, -2, 16, -19, -4],\n [10, -12, -19, 6, 8, -2... | 94 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-16, 0, 0, 0, 2, 14, -1, 22, 24, -14, -30, -4],\n [0, -30, -20, 4, -20, 9, 9, 10, 26, 19, -15, -10],\n [0, -20, -29, 3, -11, 17, 1, -13, 8, -2, -14, 19],\n [0, 4, 3, -10, 29, 28, 8, -7, -14, 10, -2, -16],... | 85 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, -15, -12, 4, -24, -15, 7, 13, -22, -10, 19, -12],\n [-15, 10, 3, 4, -6, 18, -18, 18, 2, 24, -4, 7],\n [-12, 3, -19, -3, -25, -28, 18, -16, -2, -8, 8, -14],\n [4, 4, -3, -21, 6, 6, 2, -18, 0, -15, -29, -16],\n [... | 520 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-13, 24, -22, -34, 7, 35, -20, -8, -4, 35, -34, -29],\n [0, 12, -34, 6, 6, -16, -30, -25, 33, 4, 0, 15],\n [0, 0, -10, 17, 12, -9, 10, 31, -17, 29, 35, 0],\n [0, 0, 0, 33, 13, 1, 10, 20, 27, -6, 27, -10],\n [0, 0, 0... | 263 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, -11, 25, -13, -10, 20, -8, -22, -7, 4, 14, 8],\n [-11, 28, -18, 4, -2, -1, 5, 0, 13, 10, -21, -16],\n [25, -18, 11, 0, 5, 12, -4, -28, -22, -33, 2, -14],\n [-13, 4, 0, -23, 22, -15, 7, -6, -16, 12, -32, 2],\n [-10, -2, 5... | 540 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, -18, 14, 17, 4, 4, 18, -3, 2, -22, 14, 4],\n [-18, 28, -16, 20, -5, 8, 4, -14, -5, -24, -13, 26],\n [14, -16, 31, 14, -8, 28, -14, -2, -4, -8, -6, -31],\n [17, 20, 14, 34, 2, 11, -6, -8, 15, -32,... | 524 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, 0, 5, 12, -22, 10, -14, 9, -6, -2, -4, -1],\n [0, 33, 0, 15, -17, -20, 30, 6, -24, -22, -12, -2],\n [5, 0, -7, 22, -14, 26, 8, -4, -14, -5, 1, -4],\n [12, 15, 22, 11, -1, 2, -3, 0, 0, 8, 16, 8],\n [-22, -17, -1... | 474 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, 29, -14, 25, 22, 18, -17, 34, -2, 8, 31, 16],\n [0, -7, -22, 26, -21, -22, 31, -14, -29, -29, -19, -4],\n [0, 0, 22, 22, -33, -35, 31, -16, 26, 20, 17, 29],\n [0, 0, 0, 12, 2, -14, 35, -35, 6, 33, -7, -30],\n [0... | 228 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 22, -2, -20, 4, -4, -24, -6, 8, 20, 10, -29],\n [22, 16, 24, -1, 14, -26, -6, 4, 29, 6, -2, -28],\n [-2, 24, -14, 11, -14, -32, -4, -8, 10, -13, -8, -2],\n [-20, -1, 11, 13, -18, 24, 8, 30, 8, 14, 19, -1],\n [4,... | 543 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-27, 6, 21, 7, 22, -4, 12, -30, -8, 8, 0, -7],\n [6, 3, 17, -18, 4, -14, 16, -6, 20, 1, -14, 3],\n [21, 17, -10, 30, -8, 3, -34, 32, -6, -20, 6, 4],\n [7, -18, 30, 27, 2, -4, 22, 0, -8, 14, -11, -4],\n [22, 4, -8, 2, 3, 11, 28, -... | 103 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-27, -6, -1, -12, 10, 8, -9, -1, -12, 14, 8, -2],\n [-6, -19, -3, 24, -30, -11, 12, -10, -19, 22, 4, 21],\n [-1, -3, 18, -4, 18, 0, -3, 0, -8, 6, -32, 0],\n [-12, 24, -4, 17, -3, 16, 13, 1, -12, -8, 12, 5],\n [10, -30, 1... | 79 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[34, -10, 7, 18, 4, -18, -10, -18, -25, -3, 15, -18],\n [-10, -20, 16, 13, 20, 2, -30, -8, -5, 15, -10, 4],\n [7, 16, -35, -6, -1, 6, 9, -8, -9, -6, 28, -20],\n [18, 13, -6, -2, -13, 9, -27, -12, -4, -26, 21, 12],\n [4, 2... | 99 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, -15, -21, -24, 20, -20, -3, 7, 13, -18, -20, 4],\n [0, 26, -9, -22, 30, -9, 18, 24, 4, 9, 32, 32],\n [0, 0, 5, 25, 29, -35, -27, -21, 23, 30, -26, 13],\n [0, 0, 0, -14, 15, 6, -7, 9, -3, 3, 29, 14],\... | 34 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-35, 12, -14, 5, -11, 10, -27, 25, 11, -33, -28, -11],\n [0, 7, 14, 27, -2, -26, -9, -23, 15, 32, -20, -24],\n [0, 0, -20, -34, -1, -14, 12, 28, 31, -14, 11, 4],\n [0, 0, 0, -22, 22, -29, -7, -33, -23, 0, 2, 24],\n [0, 0... | 35 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-27, 32, 0, 0, -10, -23, -16, -11, 11, -7, -4, -10],\n [32, -26, 10, -2, 7, 13, -2, 2, 17, -26, 13, 32],\n [0, 10, 1, -11, 8, -7, -14, 8, 10, -12, -15, 12],\n [0, -2, -11, 32, 16, 12, 14, -10, -4, -6, 0, 6],\n [-10, 7, 8... | 90 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-31, 24, 31, -19, 29, 19, -27, -32, 6, 10, -35, -19],\n [0, -31, 16, 17, -33, 26, -4, -34, 17, -24, -31, -32],\n [0, 0, 9, 24, -16, 17, -20, -6, -16, 16, 0, -14],\n [0, 0, 0, -31, 4, 9, -5, -21, 22, 17, 9... | 31 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, -2, -24, 22, 8, -12, -11, 14, -4, 20, 15, 3],\n [-2, -13, 12, 10, 22, -14, 0, -6, 20, -6, -10, -34],\n [-24, 12, 15, 2, 16, 20, 0, 16, -15, 12, -14, -12],\n [22, 10, 2, 25, -30, -8, 6, -12, -18, 26, 8, 2],\n [8, 22, 16, ... | 545 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -12, -10, 2, -10, 22, -20, 9, 2, -2, 26, -11],\n [-12, 0, 6, 0, -3, -16, 11, 8, 12, -6, -2, -27],\n [-10, 6, -30, -12, 26, -1, 16, -7, 21, 14, -11, 8],\n [2, 0, -12, -18, -8, -8, 12, -4, -1, -10, 7, 4],\n [-10, -3, 26, -8, 5,... | 88 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-23, 1, 7, 20, 14, -16, 12, -17, 33, -19, -8, 0],\n [0, 34, -10, -35, -34, 0, 20, -1, -9, 31, 20, 10],\n [0, 0, -10, 26, -3, 25, -16, 32, -7, 10, 1, 17],\n [0, 0, 0, 10, 21, -28, 1, 21, -22, -31, 7, 13],\n [0, 0, 0,... | 173 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, 10, 3, 15, -10, 24, -4, 12, 9, 0, -22, -10],\n [10, 28, -4, 10, 13, -8, 6, 10, -7, -16, 14, 16],\n [3, -4, 1, 22, -8, -20, -5, -2, 5, 4, 4, 1],\n [15, 10, 22, -22, -18, -3, -2, -13, 6, 18, 5, -16],\n [-10, 13, -8, -18, 19... | 503 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-22, 18, 8, -6, 17, -16, 4, 13, -2, 2, -28, 18],\n [18, -15, -1, -30, -18, -19, -1, 5, -10, -20, 12, 4],\n [8, -1, -7, 26, -4, 16, -14, -4, 4, -22, 10, -10],\n [-6, -30, 26, 29, 2, -12, -4, 12, 2, 3,... | 529 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-8, 0, 2, 24, 18, -24, 2, 24, 1, 4, 10, 7],\n [0, 5, -20, -4, -3, 2, -22, 20, -6, 3, -2, -11],\n [2, -20, -3, 10, 24, -14, 14, -3, -26, 0, 12, -31],\n [24, -4, 10, -33, 0, 8, 7, 14, -6, 18, 1, -16],\n [18, -3, 24, 0, 35, -24, 6,... | 98 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[10, 0, 8, 12, -18, -1, 4, -20, 18, 6, 4, 14],\n [0, -35, 0, -6, 10, -16, 6, -4, 0, -16, 14, -12],\n [8, 0, 18, 22, -30, 12, 34, 8, -16, -33, 1, 14],\n [12, -6, 22, -4, -6, -31, -7, 1, 0, -22, 17, 8],\n [-18, 10, -30... | 524 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-5, -13, 2, 6, -9, 0, 12, 4, -10, -13, 8, -16],\n [-13, 5, -3, -19, -25, 25, 16, 30, 12, 6, -4, 1],\n [2, -3, 35, 26, 4, 9, 12, -14, -17, -28, 5, 5],\n [6, -19, 26, -5, -22, -12, 9, 18, 7, 5, 4, 4],\... | 509 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-31, -28, 2, 7, 4, -12, -3, 2, 8, -3, -24, 10],\n [-28, -10, -12, 21, -18, -11, 6, -28, -10, -34, -9, -3],\n [2, -12, 2, -12, 2, 16, -22, -23, 27, 0, 10, -22],\n [7, 21, -12, 11, 5, -28, -8, -12, -4, -16, 0, -8],\n [4, -18, 2, 5,... | 103 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[31, -27, 16, 6, 8, 5, -13, 24, -5, -18, 2, 20],\n [-27, -34, -3, 14, -1, 12, 18, -28, -15, 15, 19, 0],\n [16, -3, -28, 17, -4, -16, -24, -12, 18, -18, -4, 14],\n [6, 14, 17, 1, -3, -22, -2, -10, -4, 24, -14, 2],\n [8, -1, -4... | 591 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-14, -33, -17, 7, 31, -31, -7, -31, 9, 18, -12, -15],\n [0, -31, 26, -18, -1, -31, -27, -32, -3, -14, 23, -25],\n [0, 0, -33, -21, 1, 4, -19, -16, -32, -2, -2, 31],\n [0, 0, 0, 5, 23, -19, -6, 18, 16... | 262 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[33, -26, 14, -26, -20, 2, 31, -16, 33, 34, -11, 18],\n [0, 29, 18, 31, -15, -31, 22, -32, -17, 19, 25, -12],\n [0, 0, -12, 18, -15, -17, 17, 14, -13, 1, -8, 35],\n [0, 0, 0, -1, -35, 31, 34, -32, -35, -15, 16, 17],\n [0, 0, 0, 0,... | 33 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 17, -18, -10, 20, -3, 24, 19, -20, 10, 14, -15],\n [17, 5, -4, -20, -16, 5, -9, -22, -13, -17, -27, -6],\n [-18, -4, -19, -18, 24, -17, 20, 13, -10, -2, 8, -6],\n [-10, -20, -18, -35, -32, -18, -8, -2, 4, 30, 10, 4],\n ... | 563 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-33, 20, 7, -35, 0, -30, 10, -13, -16, 17, 2, -1],\n [0, 14, 11, 0, -20, 13, 29, 27, 16, 24, -19, 31],\n [0, 0, -5, 23, 18, 17, -10, -23, 21, -17, -9, -23],\n [0, 0, 0, -17, -33, 31, -10, -30, -23, -9, -26, -20],\n [0, 0, 0, 0, -... | 33 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-28, 24, -24, 13, 32, -1, 9, 5, 25, -21, 31, 23],\n [0, -30, 21, -20, -13, 5, -6, 31, 19, -32, -8, 14],\n [0, 0, 31, -10, 3, -23, 35, 18, -23, 23, -32, 21],\n [0, 0, 0, 0, -17, -6, 5, 12, -8, -5, 21, 7],\n [0, 0, 0, 0, 6, 17... | 241 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 4, -2, -3, -20, 12, 9, 2, 6, 3, 12, 19],\n [4, -35, 15, -8, -20, 0, -15, -3, -10, -3, -20, 13],\n [-2, 15, 28, -9, 21, 10, -6, -14, -2, -17, 14, 14],\n [-3, -8, -9, -16, -18, -20, 9, 33, 0, -10, -31, ... | 93 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[33, -12, -12, 20, -14, 0, -11, 8, 14, 28, 18, -16],\n [-12, -29, 4, 22, -34, 24, -8, -1, -18, 2, -8, 22],\n [-12, 4, 6, -2, 10, -14, -15, -20, 5, -6, -10, 13],\n [20, 22, -2, -13, -7, 4, 6, 8, -6, 3, -6, 18],\n [-14, -34, 10... | 524 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[26, -4, -14, -5, -8, -24, -2, -24, -8, -13, -12, -2],\n [-4, 20, -18, 14, -8, -20, -4, -10, -8, 10, -8, 4],\n [-14, -18, 24, -26, 2, 3, -6, -9, 2, 8, -4, 12],\n [-5, 14, -26, -19, -21, -13, 14, 24, -7, 4, 10, -12],\n [-8, -8, 2,... | 83 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, 13, -33, 6, 27, -7, -34, -22, -24, -12, -8, -18],\n [0, -6, -2, 22, -8, 17, -20, -10, 29, 21, -5, -9],\n [0, 0, -10, -30, -29, -23, 13, -26, 7, 13, -18, -25],\n [0, 0, 0, 18, -11, -30, -25, -3, 33, 10, 19, 34],\n [0, 0, 0, 0,... | 23 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, 14, -10, -18, -8, 12, -8, -32, -28, -8, 14, -10],\n [14, -35, 9, -2, 9, 0, 13, -26, -18, 14, -14, 6],\n [-10, 9, -17, 2, 15, 9, 9, 12, 15, 0, -4, -20],\n [-18, -2, 2, -17, 20, 2, -5, 8, 4, 6, -2, -8],\n [-8, 9, 15, 20, 2... | 527 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, 34, -16, -32, -23, 13, -27, 23, -33, -25, -31, -1],\n [0, 34, -30, 6, 7, -22, -11, -18, -12, 27, -35, -21],\n [0, 0, 16, -34, 0, -13, -12, -4, 15, 10, -23, -22],\n [0, 0, 0, -24, -33, 17, 7, -31, 11, -9, 16, 20],\n [0, 0, 0, 0... | 34 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[20, 8, 28, -12, 5, -8, 26, -21, 26, -26, -7, -5],\n [0, -18, -29, -9, -27, -16, 14, 25, 31, -19, -15, -4],\n [0, 0, -8, 24, 34, 22, 34, 17, -26, -34, -11, 2],\n [0, 0, 0, -35, -5, 31, 20, -17, -32, -8, 8, -6],\n [0, 0, 0, 0, -32,... | 35 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, -13, 19, -9, -16, -21, 6, -32, -7, 19, 13, 35],\n [0, -3, 1, -29, -12, 19, -25, 8, 29, -30, -5, 7],\n [0, 0, 16, 34, -6, 19, 3, -30, 20, -28, 19, -20],\n [0, 0, 0, -32, -33, -21, 32, 7, -27, -11, 29, 30],\n [0, 0... | 223 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 1, -9, 8, 16, -20, 0, 4, 22, 0, 6, -13],\n [1, 14, -4, -5, -20, -6, 0, -26, 34, -8, 18, 12],\n [-9, -4, 27, 15, -10, 28, 12, -9, -2, 20, 11, 16],\n [8, -5, 15, 24, -10, 15, -8, -24, -5, -2, 14, -2],\n [16, -20, -10, -10... | 485 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, -2, 2, 15, -19, -13, 14, 12, -4, 16, -9, -14],\n [-2, -33, -13, -14, 6, 2, -21, 23, -10, -17, 14, -16],\n [2, -13, -4, -1, 20, -20, 7, 11, 4, -8, 0, -10],\n [15, -14, -1, 35, 6, 28, 11, -13, 18, 6, 8, 8],\n [-19, 6, 20, ... | 539 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 25, -24, 2, 16, 15, -10, 5, -8, -2, -3, 13],\n [25, -23, -18, -20, 12, 2, 2, -4, 26, -24, -6, -10],\n [-24, -18, 19, 17, -9, -10, -5, 22, -33, -12, -8, 27],\n [2, -20, 17, -28, 1, 8, -1, -9, 2, -18, 6, 12],\n [16, 12... | 90 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[15, 31, 21, -16, 9, -30, -3, 7, 14, -9, -6, -18],\n [0, -21, 26, -15, -24, 13, -35, 19, -11, 11, 3, -9],\n [0, 0, -8, 21, -20, 20, -1, -8, 10, 31, -20, 13],\n [0, 0, 0, -14, -20, 20, -33, 17, -1, -15... | 232 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, 20, -12, 10, -29, 9, -18, 27, -14, -22, 12, 8],\n [20, -6, -14, 6, 6, 2, 1, 9, -20, 22, -15, 0],\n [-12, -14, -23, 1, -14, 3, -12, 18, 2, 0, -2, 18],\n [10, 6, 1, -14, -30, 25, 28, -10, 2, -22, -8, -6],\n [-29, 6, -14, ... | 534 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -14, 30, 6, 24, -9, -2, -16, 5, 2, 4, -19],\n [-14, -11, -1, -16, 4, -8, -20, 4, -12, 14, 2, 10],\n [30, -1, -11, -6, -12, 4, -1, -6, 8, -10, 16, -6],\n [6, -16, -6, -18, 12, 0, -12, 18, -14, 14,... | 487 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 27, -5, 6, 30, 5, -35, -3, 1, 21, -25, 11],\n [0, -32, 19, -24, 30, 1, -13, 19, -17, 31, -13, -32],\n [0, 0, -1, -9, 7, 31, 33, 28, 16, -19, -3, 16],\n [0, 0, 0, 32, 14, 22, -6, 34, -34, -2, 16, -20],... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 1, -22, 26, 1, -2, -6, 12, -11, -22, 14, -4],\n [1, -18, 10, 8, 4, -8, -1, -4, -12, 26, 18, 7],\n [-22, 10, -9, 5, 10, -19, 6, -16, -2, -1, 30, -16],\n [26, 8, 5, -20, -15, 5, 12, 10, -26, 14, -2, 18],\n [1, 4, 10, -15, ... | 574 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[18, 14, 24, -10, 1, -33, -21, -2, -14, -10, -6, -24],\n [14, 30, 4, -23, -28, -5, -17, -22, -4, -12, 18, 1],\n [24, 4, 34, 1, 6, -3, 10, 0, 24, -28, -21, -11],\n [-10, -23, 1, -24, -4, 1, 6, -29, 8, 8, -1... | 90 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-31, -19, -11, 25, 1, 30, -23, 4, 6, 34, -11, 6],\n [0, 7, 32, -8, -12, 5, 25, -31, -25, -28, -15, 28],\n [0, 0, -27, 2, 7, -26, -24, -18, -24, -5, -25, -9],\n [0, 0, 0, 11, -11, 28, 34, -8, -16, 5, -32, 33],\n [0, 0, 0, 0, -10,... | 33 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, 4, 17, -7, -8, 5, -12, -5, 27, -2, -6, 2],\n [4, -25, -24, -6, 20, 23, -28, -22, -10, -3, -6, -8],\n [17, -24, -34, -25, -18, -3, -12, 22, 0, -10, 3, -6],\n [-7, -6, -25, -24, -28, -3, 11, -8, -6, 12, 0, 10],\n [-8, 20,... | 504 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, -20, -4, -7, 16, -21, 8, -13, 12, -13, 35, -22],\n [0, 34, 7, 9, -14, 25, -18, 8, -18, 21, -21, 22],\n [0, 0, -15, 7, 9, -2, 35, -24, -29, 33, -8, -11],\n [0, 0, 0, 10, 11, -4, -24, -17, 11, 2, -26, -26],\n [0, 0, 0,... | 35 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, 6, -9, -9, -10, 5, -7, 6, 20, 6, -2, -6],\n [6, 16, 6, -11, -6, -13, -22, 24, -15, -4, -2, -1],\n [-9, 6, -11, 12, 12, 18, 4, -28, 20, 2, 17, 12],\n [-9, -11, 12, -8, -1, 0, -5, 27, -5, 23, 10, 22],\n [-10, -6, 12, -... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-13, -24, 2, -20, -1, -2, 14, -6, 0, -11, 2, 2],\n [-24, -25, 2, 0, -12, -9, 5, 15, 0, 20, -4, 6],\n [2, 2, 20, -32, 2, 0, -4, 0, 20, 31, 16, 25],\n [-20, 0, -32, 32, -12, -28, 8, 17, 8, 6, -6, 0],\n [-1,... | 90 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[35, 12, -2, -4, 4, -16, 8, 2, -24, 2, 12, -10],\n [12, -26, -15, -6, 14, 14, 9, -12, 4, 30, -2, 0],\n [-2, -15, 0, -30, -14, 17, 12, 2, 12, -21, -14, -16],\n [-4, -6, -30, -27, 26, 8, 11, -27, -10, -6, 0, -4],\n [4, 14, ... | 100 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 26, 18, 18, -6, -6, -12, -8, 12, -34, -18, 20],\n [26, -4, 6, -21, 12, -13, 22, -16, 11, 12, -13, -6],\n [18, 6, 26, 9, -2, 2, 16, -8, 14, 24, -3, -8],\n [18, -21, 9, -14, -3, -3, 8, 7, -2, -12, 0... | 515 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-17, 8, -1, 2, -9, 16, 29, 14, 18, 16, 9, 3],\n [8, 24, 8, 12, -10, -2, 0, -8, -16, -2, 28, 2],\n [-1, 8, 17, 26, -5, 0, -8, -2, -10, 4, -28, -14],\n [2, 12, 26, 23, 2, 9, 28, -26, -10, -12, 5, -7],\... | 531 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 19, -22, -6, -18, 14, 2, -8, 8, -34, 30, 4],\n [19, -27, -18, -12, -30, -8, -9, 22, 12, 18, -1, 13],\n [-22, -18, 26, -22, 26, 4, -6, -6, 0, 2, 16, -2],\n [-6, -12, -22, -17, -4, 4, 10, -6, 2, -... | 535 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, -35, -6, -27, -3, -10, 6, 6, 3, 25, 11, 6],\n [0, 16, -3, -9, 7, -7, -17, -8, -26, 31, -20, -35],\n [0, 0, -32, -16, 27, -1, 9, 21, -12, -16, -8, 2],\n [0, 0, 0, -11, 33, -19, 22, -16, -34, -27, 27, 32],\n [0, 0, 0, 0, -6, -1... | 32 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 1, -17, -8, -24, -1, 22, 8, 0, 10, -6, -26],\n [1, -27, 30, 24, 13, -4, 1, 4, 17, -14, -7, -8],\n [-17, 30, 35, -23, -24, -16, -18, 27, -10, 32, -1, -13],\n [-8, 24, -23, -14, -32, 14, -15, -18, 8... | 523 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[11, 24, -16, -28, 16, 2, -11, -6, -9, 25, -8, -26],\n [24, 1, 10, -27, -14, 22, 28, 10, 26, 14, -2, 22],\n [-16, 10, -35, -20, -16, -10, -4, 22, -10, 0, 29, 4],\n [-28, -27, -20, -8, -17, 26, -6, -25, 27,... | 94 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, -32, 17, 35, 26, 2, 0, -2, -30, 30, -18, -9],\n [0, 15, -17, -2, -12, -11, 34, -6, 18, -11, -31, -34],\n [0, 0, 2, -19, -5, -35, -30, 34, 0, -28, -26, -12],\n [0, 0, 0, -16, -3, -22, 18, 19, 1, -30, -3, 14],\n [0, 0, 0,... | 193 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, 27, -14, -2, 1, 5, 7, -14, -21, -15, 16, -32],\n [0, -18, 35, -1, -29, 5, -26, 26, 29, -24, -8, 22],\n [0, 0, 29, 21, 14, 9, 26, 29, 19, 2, -32, -21],\n [0, 0, 0, -1, -32, -4, -24, 18, -6, -27, -17, ... | 31 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -6, -4, 6, -6, -29, -5, 18, -11, -11, 0, 2],\n [-6, 15, 22, 19, 8, -12, 2, 7, -2, 5, -14, 10],\n [-4, 22, 33, -6, 14, -10, 10, -2, 3, -2, -14, 11],\n [6, 19, -6, 26, -4, -15, 18, 18, -8, 15, -30, -2],\n [-6, 8, 14, -4, 1... | 492 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[35, 0, 10, 14, 31, -33, -3, 9, -11, 1, 0, -1],\n [0, 9, -18, -9, -5, 3, 31, -14, 16, -26, -28, -2],\n [0, 0, -24, 28, 21, -34, -19, 16, 35, -34, -9, -10],\n [0, 0, 0, 29, 4, -31, -8, 16, -22, -30, -18, 1],\n [0, 0, 0, 0, 15, 16, ... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, -18, 3, -7, -16, 6, -24, 20, -24, 17, -28, 22],\n [0, 25, -35, 34, 9, -27, -35, -12, 24, 12, 3, -18],\n [0, 0, 0, 12, -1, 34, 6, 2, -10, -5, 16, 24],\n [0, 0, 0, -2, -26, 4, 16, -24, -9, -17, 21... | 214 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[20, -4, -10, 24, 8, 27, -16, 4, 24, 12, 2, 0],\n [-4, 31, -12, 1, 12, -4, -2, 10, 22, 18, 19, 4],\n [-10, -12, 35, 14, 11, -4, 10, -31, 7, 14, 19, -10],\n [24, 1, 14, 1, -10, -2, -20, 23, -26, 4, -1, -13],\n [8, 12, 11, -10... | 501 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-25, -2, 12, -4, -11, -16, 10, 11, -14, -10, 13, -10],\n [-2, 25, 18, -16, -2, 5, 13, 10, -18, -17, 0, -13],\n [12, 18, -28, 13, -1, 23, 11, 0, 6, 2, -22, 12],\n [-4, -16, 13, -32, -14, 0, 6, 27, -7, 32, -10, 21],\n [-11... | 96 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, 0, 17, 24, 8, -3, 8, 19, 8, 15, 15, -29],\n [0, -23, 12, 11, 11, -26, -10, 14, 11, 8, -35, 27],\n [0, 0, 3, 7, 5, -21, -35, 22, 18, -31, 26, 35],\n [0, 0, 0, 5, -13, -4, 22, 3, -3, 22, -4, 14],\n [0, 0, 0, 0, 7, -7, 8, 1... | 193 | MATH |
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