messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[22, -31, 20, 10, -18, 8, 7, -14, 24, 27, -12, 29],\n [0, -35, -35, -15, -8, -18, 16, 30, 26, -17, -34, 34],\n [0, 0, -25, -20, 26, -9, -14, -33, -33, -15, 7, 34],\n [0, 0, 0, -16, 29, -1, 7, -15, -26, 9, -33, 7],\n [0, 0, 0,... | 190 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[35, 13, -28, -30, 4, 18, -19, 15, -34, -6, -4, 14],\n [0, -20, 19, 21, 9, 16, 35, 11, -3, -12, -1, 28],\n [0, 0, -18, 22, 12, -25, -33, 6, -18, -20, 5, 29],\n [0, 0, 0, -8, 15, -9, -27, 2, 0, 24, 21,... | 257 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-11, -1, 29, 3, -18, -11, -35, 26, -27, 5, -14, 30],\n [0, 16, -16, -24, 28, -4, 26, -31, 8, -7, -3, -23],\n [0, 0, -8, -18, 30, 10, -19, -3, -3, -6, -14, 17],\n [0, 0, 0, -8, -1, 32, -27, -14, 25, -11, 5, -29],\n [0, 0, 0, 0, 2... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -22, 6, -8, 9, -14, 2, -10, 24, 20, -12, 25],\n [-22, -22, -12, 30, -8, 23, -16, 22, -6, 4, -12, -15],\n [6, -12, -27, 6, 0, 2, -22, -28, 0, -10, -4, 16],\n [-8, 30, 6, 14, -12, -24, -10, 8, -1, -11, 2, -14],\n [9, -8, ... | 525 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, -7, -30, 10, -25, 18, 0, -18, -4, 10, 6, -10],\n [-7, -20, 18, 28, -9, 20, 4, 5, 10, -7, 12, 12],\n [-30, 18, 28, -7, -6, -18, 26, 8, 6, -9, -20, -1],\n [10, 28, -7, 27, 4, 20, 2, 2, -17, 28, -10, 13],\n [-25, -9, -6, 4, ... | 545 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, 0, 0, -15, 4, 12, -4, 0, -22, -12, -25, -20],\n [0, 23, -16, 12, 15, 16, 15, -22, -1, -12, 1, -14],\n [0, -16, -18, -12, 20, -17, 5, 35, -4, 12, 9, 24],\n [-15, 12, -12, 15, -2, -12, -19, -8, 24... | 518 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, -27, 12, 0, -27, -12, -34, -12, 6, 26, 2, 6],\n [-27, 15, 18, 12, -21, -2, -2, 18, 30, -6, -8, -16],\n [12, 18, -2, 10, -11, 16, 22, 14, 28, 20, 3, -16],\n [0, 12, 10, 14, 22, 8, -3, 10, -16, -6, 18, 12],\n [-27... | 530 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -21, -25, -20, -14, 26, -12, 0, -18, -16, -28, -21],\n [0, -12, 11, -18, -4, 6, 1, -3, -35, -9, -19, 10],\n [0, 0, 20, -24, -10, -12, 24, 22, 27, -28, -10, 22],\n [0, 0, 0, 23, -15, -23, -33, -4, -15, -22, -28,... | 215 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, 5, 22, -16, 12, -25, 2, -6, -18, -2, 22, 2],\n [5, 30, 7, -9, -18, 0, -14, -4, -6, -14, 8, 10],\n [22, 7, 20, -20, 8, 8, -15, 16, 24, -17, -2, 6],\n [-16, -9, -20, -30, -26, -2, -5, 14, 5, -4, -1... | 507 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[14, -4, -8, -23, 3, -14, 16, 30, -31, 20, 6, 30],\n [-4, 10, 0, -6, -6, 7, -10, -16, 24, -16, 6, -20],\n [-8, 0, 13, 0, 26, 4, 12, -25, 2, -18, -20, 4],\n [-23, -6, 0, -6, 24, 12, 22, 2, 0, 8, -8, 28],\n ... | 92 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[18, 4, -4, -12, 15, 25, -24, 4, 6, 16, 8, 1],\n [4, 28, 1, 0, 14, 11, 3, -2, 0, -20, 1, -16],\n [-4, 1, 14, 8, 0, -10, 8, -3, -8, -11, 20, -22],\n [-12, 0, 8, -33, 18, 1, 4, 9, 8, 12, 2, -16],\n [15, 14, 0, 18, 17, -21, ... | 76 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -21, -8, -3, 0, 26, -13, 2, 4, 0, 5, 2],\n [-21, -32, -11, 25, 10, 10, 24, 8, -12, 20, -10, 4],\n [-8, -11, 15, -12, -7, 28, 24, 8, 1, -5, 0, 12],\n [-3, 25, -12, -30, 2, -11, -6, -8, 2, 16, -9, 12],\n [0, 10, -7, 2, ... | 82 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 10, 23, 21, 26, 27, -5, 3, -14, -19, -33, -4],\n [0, 28, -26, -31, 32, 2, 5, 25, -21, 16, -28, 20],\n [0, 0, 23, 20, -23, 15, 23, 26, -7, 26, -29, 8],\n [0, 0, 0, 34, -19, 13, -12, -24, 21, -7, 26, -9],\n [0, 0, 0, 0, -20, -2... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-14, 26, -20, 4, -3, 0, -6, 12, 13, 6, 16, -4],\n [26, -10, -8, 2, -12, 25, -24, -18, 2, -4, 12, -20],\n [-20, -8, -32, -5, 2, -9, -32, 19, 8, 10, -4, 0],\n [4, 2, -5, 33, 22, -3, -18, -6, -20, -8, 1... | 576 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 4, 6, 7, 0, 14, -4, 4, -25, -5, 10, -7],\n [4, 15, 18, -3, 25, -16, -13, -4, -10, 5, -10, 7],\n [6, 18, -21, -28, -6, -18, 6, 6, -10, 2, 6, -7],\n [7, -3, -28, 18, -4, -19, 6, 4, 21, -8, -6, 0],\n [0, 25, -6, -4... | 475 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-27, -32, -13, -18, 16, -10, -14, -1, -21, 17, -26, 31],\n [-32, -29, -9, -24, 26, -12, 28, -20, 18, 18, -28, -14],\n [-13, -9, -34, -30, -26, 4, 16, -2, 5, 7, -16, 5],\n [-18, -24, -30, -34, 0, -14, 2, 12, 7, -18, 14, 0],\n [16... | 109 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[18, -28, -26, -15, -1, -32, 17, -11, -16, 35, 35, -14],\n [0, -30, 15, -9, -18, -24, -8, -17, 7, -21, 33, 0],\n [0, 0, -6, 3, 10, 22, -6, 20, 18, 1, -14, -12],\n [0, 0, 0, 26, -24, -6, -23, -30, 31, -25, 24, -26],\n [0, 0, ... | 223 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[13, -6, 6, 12, 24, 8, -8, 2, -6, 10, 9, 5],\n [-6, 12, -4, 22, 2, -25, 10, -12, -35, 2, 8, -14],\n [6, -4, 32, 6, -12, 0, 14, 3, 2, -14, -28, 22],\n [12, 22, 6, 0, -6, 2, -19, -19, 2, -2, -11, 2],\n [24, 2, -12, -6,... | 519 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-30, 16, -10, -14, -16, -20, 21, -4, -16, -12, 17, 4],\n [16, -27, 3, -17, -16, -2, 14, 6, 22, 28, 22, -4],\n [-10, 3, -14, -12, 26, 4, 0, 16, 30, -12, 0, -6],\n [-14, -17, -12, -27, -14, 15, 0, 11, -16, -18, -26, 10],\n [-... | 551 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, 1, -12, -34, 0, 10, -32, -24, 18, -12, 8, -12],\n [1, 12, 5, 20, -34, -4, 16, -2, 2, -2, -24, -21],\n [-12, 5, 34, -16, 9, -3, -6, -22, 1, -9, -32, -20],\n [-34, 20, -16, -7, -24, 16, -6, -9, -11, -6, -6, 26],\n [0, ... | 87 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[20, 4, 21, -14, 0, -12, 9, 18, -12, 0, -10, -34],\n [4, -33, -21, 3, -28, 4, 6, 22, 6, 3, 7, 1],\n [21, -21, 6, 5, 11, 32, -3, -8, -10, 6, -10, 15],\n [-14, 3, 5, -22, -1, -14, 30, -2, 18, 24, 20, -23],\n [0, -28, 11, -1... | 112 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-15, 22, -20, 17, -18, 21, 2, -4, -17, 12, -10, 9],\n [0, -21, -18, -5, -21, -21, 29, 10, -20, 19, -6, 5],\n [0, 0, -10, 28, 22, -33, -8, -32, 4, 21, 29, 11],\n [0, 0, 0, 8, -25, 0, -23, 21, -11, 34, 1, -32],\n [0, ... | 158 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[18, 32, -10, -31, 0, -22, -12, -22, -23, 26, 14, 16],\n [32, -1, 14, 12, 14, -8, -18, -28, 6, 22, 6, 10],\n [-10, 14, -2, -9, 27, -4, 29, -2, 20, -24, 17, -14],\n [-31, 12, -9, -16, -2, 11, -22, -11, -12, -16, -5, 8],\n [0, 14, ... | 103 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -25, -10, 2, -6, -24, -6, 2, 8, 13, -10, 4],\n [-25, 21, -18, -10, -30, 1, -20, -20, 18, -2, -6, -6],\n [-10, -18, -20, -5, 20, -12, 20, -10, 2, 2, 22, 2],\n [2, -10, -5, 26, 22, -5, -12, -25, -2... | 587 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-16, -22, 8, -8, -12, -16, 21, 0, 1, 0, 5, 2],\n [-22, 19, 9, 14, 32, -4, 12, -6, 10, -17, 16, -4],\n [8, 9, 16, -26, -4, 12, -22, 14, -14, -26, -10, 8],\n [-8, 14, -26, -1, 0, 2, 5, 24, -8, -14, -6, 18],... | 76 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, 32, 30, 23, -21, -5, -7, 11, 21, 22, -5, 17],\n [0, -34, 24, 12, 12, 25, -32, -10, -14, 7, -16, 12],\n [0, 0, 25, 27, -17, -23, -34, 15, -35, 5, -26, -33],\n [0, 0, 0, 3, 11, 24, -28, 1, 27, -9, -33, 3],\n [0, 0, 0, 0, -16, ... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-33, -2, 18, 4, -2, 2, -13, 16, 12, 13, -11, -6],\n [-2, -4, -26, -24, 14, -13, -3, -3, 14, -22, -8, 2],\n [18, -26, -34, 0, 16, 18, -26, -24, -12, 23, 2, -11],\n [4, -24, 0, 10, -17, -6, -23, -1, 21, -30, 18, 10],\... | 529 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[2, 6, -17, 4, 18, -4, 0, 0, 12, -20, -14, 10],\n [6, 17, -2, -17, 16, 5, -15, -18, 19, -8, -11, 10],\n [-17, -2, -13, 0, -4, 15, 22, 12, -22, 8, -14, -11],\n [4, -17, 0, -9, 26, 16, -24, 7, 10, -3, -29, -6],\n [18, ... | 557 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 35, -32, 10, -14, 35, -23, 6, -2, -23, -7, 11],\n [0, -25, 27, 15, 24, 11, -32, -29, -5, -6, -7, 7],\n [0, 0, 12, 21, -14, -9, 27, -32, -33, 4, -8, -21],\n [0, 0, 0, -21, -31, 10, -12, -34, 23, ... | 189 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[27, -22, -3, -14, 8, 6, 22, -9, -4, 19, 4, -6],\n [-22, -3, -4, -16, 12, -13, -3, 11, -8, 9, -24, -19],\n [-3, -4, 18, -2, -12, 3, 23, 17, -2, -10, 18, 20],\n [-14, -16, -2, -24, 2, -8, 18, -3, -4, -1, 0, -13],\n [8, 12, -12, 2,... | 95 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-22, -12, 28, -12, -34, 16, -24, 29, 24, 22, 6, -35],\n [0, -23, 29, 2, 28, 16, -4, -9, 25, 26, -33, -5],\n [0, 0, 22, 7, -4, -6, 25, -8, 9, -26, -20, -5],\n [0, 0, 0, -18, 16, -8, -8, 28, -22, -28, -33, ... | 35 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[35, 23, 4, -9, -16, -18, 16, 23, 12, 20, 8, -6],\n [23, -8, -18, -23, 35, 24, -17, 4, 20, -20, -10, 20],\n [4, -18, 32, 9, 2, -25, -21, 15, 10, 22, -14, -8],\n [-9, -23, 9, 2, 2, -4, 25, -12, -14, -6, -8, 12],\n [-16, 35, 2,... | 570 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-17, 25, 14, -6, -22, 8, -9, -4, -5, -20, -20, -4],\n [25, 21, -2, -11, 6, -12, -28, -4, 6, 5, 1, 10],\n [14, -2, 6, -20, -13, -31, -6, -18, 17, -8, -8, -8],\n [-6, -11, -20, 26, 17, -20, 20, 14, -22, 3, 6, 17],\n [-22, 6, -... | 543 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 6, -20, -19, -13, 4, -3, 4, -10, -14, -8, -14],\n [6, 35, -9, 16, 13, 10, 4, 4, -14, -20, -22, -4],\n [-20, -9, -31, 22, -5, 20, 14, 2, -11, -6, 5, -9],\n [-19, 16, 22, -30, 9, 3, -4, 12, -9, -23, -8,... | 83 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-31, 3, -34, -4, -7, -23, 6, 4, 20, 0, 4, 3],\n [3, 7, 10, 4, 6, 30, 18, 18, -12, -1, 6, -2],\n [-34, 10, 31, 0, -2, 5, 10, 20, -6, 23, -5, 28],\n [-4, 4, 0, 4, -6, 2, 12, -4, 26, -20, 10, 4],\n [-7,... | 577 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-28, 10, -26, 14, -10, -10, -20, 10, -10, 15, -15, 32],\n [10, -14, 6, 8, -2, 3, -10, -22, 20, -4, 0, 0],\n [-26, 6, -21, 6, 0, 21, -24, 14, 4, 17, -11, 14],\n [14, 8, 6, -1, 9, -20, 17, -22, 6, 0, -8, -20],\n [-10,... | 513 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-31, -16, 2, 3, 4, 5, -4, 0, -10, 8, 5, -9],\n [-16, 6, 6, -11, 8, 2, 1, -2, -8, 6, -10, 16],\n [2, 6, 6, 0, 26, 14, 18, -8, 16, -8, 0, 5],\n [3, -11, 0, -11, -32, 20, 6, 4, 17, -16, 2, -6],\n [4, 8, 26, -32, -13, 2, 4, -8, -23, ... | 75 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[21, -11, -8, 4, -13, -28, -23, 8, 11, -26, 5, 31],\n [0, 28, -21, 25, 16, 10, 23, 12, 3, 6, 15, 14],\n [0, 0, 22, -32, 13, -33, -4, 11, 26, -20, 32, -18],\n [0, 0, 0, 27, 23, -2, 1, -2, 9, -35, 17, 26],\n... | 34 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, 0, -4, 14, -26, 0, 8, -4, -16, -18, -4, -16],\n [0, -11, 26, -30, -18, -4, 5, 12, -9, -14, -30, 14],\n [-4, 26, 34, 6, 26, -26, 8, 17, -20, 11, 26, 12],\n [14, -30, 6, -25, -5, 4, -22, 12, 6, 24, -22, -20],\n [-26, -18... | 551 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, -24, -16, 8, 14, -3, -8, -11, 10, 18, 23, 0],\n [-24, 12, -4, -5, -26, -18, 22, 12, -11, -4, 6, 8],\n [-16, -4, -4, -11, -14, 0, -32, -11, -26, 4, 0, -22],\n [8, -5, -11, 2, -8, 24, -14, 10, -20, -18, -30, 18],\n... | 593 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 16, 12, 15, -2, -28, 6, 14, -10, 0, -16, 6],\n [16, -34, 0, -24, 28, 16, 6, 20, 6, 12, 0, 14],\n [12, 0, 26, -28, 16, -19, 6, -8, 0, -2, 9, 8],\n [15, -24, -28, -32, -6, -12, 14, -16, -15, 6, -5, 0],\... | 85 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, -18, -7, 10, 24, -7, -12, 0, -14, -17, 1, -1],\n [-18, 23, 22, 10, 22, -18, -4, -5, -4, -20, -23, -6],\n [-7, 22, -11, 10, -12, 2, -8, 2, 0, -2, 22, -8],\n [10, 10, 10, -22, 3, 22, 15, -2, 2, -14, -10, -22],\n [24, 22, -... | 544 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[25, -4, 27, 13, 22, 8, -1, 16, 2, 11, 22, 24],\n [-4, -29, -8, -16, -6, 10, -8, -12, -8, 4, -4, 24],\n [27, -8, -6, 1, -20, -19, -14, 17, 32, 9, -6, -4],\n [13, -16, 1, 27, -15, 19, 0, -24, -2, -19, 9, -27],\n [22, -6, -20,... | 574 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, 33, -2, 1, 15, 1, -11, -31, -28, 17, -9, 25],\n [0, 35, 9, -33, 25, 14, 12, 11, -22, -17, 26, -30],\n [0, 0, 10, -3, 5, 33, -7, -29, 18, -25, 6, -31],\n [0, 0, 0, -32, 27, 23, -6, -34, 7, -18, -12... | 254 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -2, -24, 14, 20, 12, 3, 4, -28, -12, 1, -16],\n [-2, 24, 6, -18, -22, -19, 14, 2, 2, 12, 4, 6],\n [-24, 6, 16, 16, 6, 17, 2, -10, 19, 6, -4, -3],\n [14, -18, 16, 21, 3, -6, 8, 22, 24, 1, -20, -6],\n [20, -22, 6, 3, -10, -24, 1... | 85 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[23, 6, -2, -2, 6, 4, -10, 16, -6, -15, 18, 12],\n [6, -26, 10, 2, 0, -2, 3, 16, -13, -15, 12, 12],\n [-2, 10, -7, 32, 20, 12, -12, -4, 0, 6, -23, -20],\n [-2, 2, 32, 7, -17, -16, -13, -4, 18, 18, -13... | 511 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, -12, -5, 22, 10, -19, -24, -22, -19, -9, 14, -26],\n [-12, 18, -29, 10, 4, -8, 7, -20, 6, -13, -2, -14],\n [-5, -29, -26, -7, 6, 28, -10, -12, 24, -10, 28, -25],\n [22, 10, -7, -5, -1, 6, 10, 9, 8, 3, -3, -6],\n [10, 4,... | 526 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[14, -1, -1, 23, -23, -14, 20, -31, 7, 19, -21, 6],\n [0, 35, 21, -26, 28, 5, -23, -20, 24, -5, 19, 35],\n [0, 0, 19, 30, 23, 5, 30, 11, -9, -15, -25, -14],\n [0, 0, 0, 34, -8, -11, -35, -4, -7, -16, 10, 21],\n [0, 0... | 252 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[15, 8, 14, -10, -7, -12, 24, 18, -6, -4, -30, 30],\n [8, -21, 6, -10, -5, 8, 12, -26, 4, 6, 6, 16],\n [14, 6, 27, 0, -10, -4, -4, 14, -14, 14, 8, 4],\n [-10, -10, 0, 28, -8, -6, 4, -18, -9, -10, 22, ... | 453 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-33, -8, 9, -8, -26, 4, 12, -2, -14, 24, 6, -14],\n [-8, 29, 6, 14, 26, -10, -2, 21, 12, -7, -8, 10],\n [9, 6, 2, -6, 14, -2, -17, 1, 12, 10, 6, -2],\n [-8, 14, -6, 26, 20, 7, -3, 3, 2, -26, 7, -10],\n [-26, 26, 14, 20, -8, 9, 31... | 85 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-4, -24, -27, -16, -21, -28, -15, 9, 4, -30, -25, 28],\n [0, 23, -28, 19, 3, 15, 19, -33, 7, 9, -20, -31],\n [0, 0, 9, -33, -5, -12, -7, 19, -3, 15, -6, 25],\n [0, 0, 0, -30, -21, 30, -19, -17, -22, ... | 230 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, 22, 12, -2, 22, 14, -14, 14, -10, 10, 2, 10],\n [22, -27, -30, 2, 4, -4, 12, -9, -14, -6, -28, -4],\n [12, -30, 18, -8, -10, 25, 6, 14, -6, 27, 2, -15],\n [-2, 2, -8, 21, -14, 22, -13, 26, 6, -12, -22, 32],\n [22, 4, -10, -14... | 78 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-34, -10, -16, -22, -16, 0, 22, -10, 23, -18, 8, -2],\n [-10, 30, 24, 30, 15, 17, 12, 17, -14, 5, 12, 12],\n [-16, 24, -6, 8, -10, 12, 12, -15, -8, 7, 18, -1],\n [-22, 30, 8, 6, 0, -20, -16, 22, 7, 2... | 567 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, 22, 19, 10, -9, -12, -18, 4, 0, 27, 2, -12],\n [22, -3, -15, -5, 8, -8, 10, 10, 21, 2, 17, -15],\n [19, -15, 28, -4, -7, 27, 6, 22, 4, -18, -15, -6],\n [10, -5, -4, 24, -6, 18, 18, -2, 0, 14, -14, -4],\n [-9, 8, ... | 515 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[16, 24, 5, 2, 6, 32, 10, -3, 13, -11, 8, 2],\n [24, -26, -20, -12, 6, 4, 10, -5, -16, -10, 4, 4],\n [5, -20, 29, 2, -14, -16, -2, -6, -14, -2, 6, -14],\n [2, -12, 2, 34, -14, -18, -16, 0, 11, -4, -26, 19],\n [6, 6, -14, -14... | 518 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, 16, -15, 8, -23, 8, -13, -4, -16, -5, -16, 20],\n [16, 34, 29, 22, 15, -18, 10, -10, 12, -6, 18, 24],\n [-15, 29, -8, -23, -13, -20, 17, -16, -4, 18, 12, 16],\n [8, 22, -23, -17, -5, 11, 26, 2, 20, -7, 14, -2],\n [-23, 15, -... | 99 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-15, 9, -14, -16, 4, 24, 14, 4, 2, 12, -8, 13],\n [9, 15, 0, -18, -10, -6, -27, -19, -24, 6, 6, 1],\n [-14, 0, 8, -4, -8, 25, 4, -20, 4, -4, -14, -17],\n [-16, -18, -4, 4, -5, 6, 2, -32, -10, -4, -9, 8],\n [4, -10, -8, -5, ... | 506 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[9, -6, -1, -1, -8, 3, 23, 24, -6, -12, 2, -2],\n [-6, -5, 4, -18, 12, -24, 10, -26, -14, 21, -6, -14],\n [-1, 4, -23, 12, -16, -4, -1, -12, 6, 7, 14, 15],\n [-1, -18, 12, -3, -29, -2, 18, 30, 2, 4, 22, 19],\n [-8, 12, -16, -29, ... | 93 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[26, -20, 22, -8, 4, -6, -19, 8, -9, 8, 23, 7],\n [-20, -16, -18, 14, -6, -6, 4, -3, 10, -13, -2, -5],\n [22, -18, 33, -12, -1, 17, 1, 12, 20, 6, 0, -28],\n [-8, 14, -12, 25, 10, -4, -14, -8, -11, -20, -10, -22],\n [4, -6, -1, 10... | 93 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 14, 29, -24, 3, -7, 22, 31, 35, -11, 13, 27],\n [0, 34, 34, 22, -27, -35, 29, -12, -17, -22, -22, -4],\n [0, 0, -17, -34, 5, 17, -9, -28, 7, -3, 7, -6],\n [0, 0, 0, -34, 32, -17, -1, -16, 5, -7, -21, -... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, 6, 2, -2, -10, -6, 26, 6, -10, -2, 22, 32],\n [6, 12, -2, 6, -30, 17, 10, 6, 8, -1, -4, -12],\n [2, -2, -22, -1, 8, -18, -6, 9, 18, -3, -2, 2],\n [-2, 6, -1, -30, 0, -8, 2, 8, 2, 28, -12, -6],\n [-10, -30, 8, 0, 3, -10, -... | 553 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 12, -31, -15, 14, -16, 35, -9, -34, 11, 4, 0],\n [0, -23, -14, -18, -30, 32, 31, 16, 34, -33, -19, 30],\n [0, 0, -25, 0, 17, 4, -1, 7, 9, 5, 28, -21],\n [0, 0, 0, -32, 35, -7, 5, -30, 3, 30, -9, -29],\n [0, 0, 0,... | 206 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-31, -10, -4, 11, 20, 14, 22, -8, 19, 22, 4, 22],\n [0, 9, -26, 12, 26, -8, -16, 34, 5, -30, -25, -6],\n [0, 0, 18, 11, -26, -17, -27, -29, 25, -22, -34, -14],\n [0, 0, 0, -10, 23, 32, 3, -13, -11, 17, -25, -11],\n [0, 0, 0... | 215 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-29, -10, 8, -15, 5, -15, -18, -20, -25, 4, -2, -11],\n [-10, 31, -2, -8, -10, 6, 18, -4, 14, 13, -30, -14],\n [8, -2, -9, -15, 15, 8, 16, -18, -6, 16, 20, -9],\n [-15, -8, -15, 4, 7, -12, 34, -5, 6, 28, 4, -6],\n [5, -10, 15, 7,... | 92 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[26, -26, -10, 8, -4, -10, 0, -5, 30, 0, 0, 16],\n [-26, -15, 0, -20, 22, 8, 24, -4, 9, -11, 20, -31],\n [-10, 0, -17, -24, 22, -12, 13, 2, -17, -16, 26, 8],\n [8, -20, -24, -14, 2, -12, 0, 2, 4, 4, -9, 8],\n [-4, 22... | 501 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -5, 10, 18, 10, -31, -26, -13, -29, 22, 11, -15],\n [0, -9, -7, -26, -27, -25, -14, 14, 4, 30, 27, -17],\n [0, 0, 13, 2, -29, 19, -22, -2, -15, 0, 27, 6],\n [0, 0, 0, -15, 27, 14, -9, -28, -6, 35, -6, -18],\n [0, 0, 0... | 35 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[13, 6, 13, -23, 32, -22, 0, 20, 33, 10, -21, -28],\n [0, -25, 35, -13, 9, -9, -5, 11, 30, 25, -28, 29],\n [0, 0, -6, -12, 16, 27, 25, 22, -4, -1, -20, -27],\n [0, 0, 0, 10, -33, -10, 34, -31, -9, 8, 2, 35],\n [0, 0, 0, 0... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, 28, 1, -6, -8, -7, -2, -13, -2, 10, -16, 4],\n [28, 5, -16, 26, 8, -22, -20, -18, -24, 6, 8, -15],\n [1, -16, -6, -17, 18, 8, -6, 0, -6, 12, 2, 15],\n [-6, 26, -17, -34, -18, 22, -10, 6, -12, 2, 2... | 538 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, -4, 5, -6, 16, -33, 4, 8, 8, -16, -24, 2],\n [-4, -1, -12, -10, 14, 12, -2, 6, 1, -12, -14, 2],\n [5, -12, -27, 27, -3, 1, -14, 20, -6, 6, -4, -14],\n [-6, -10, 27, -33, 0, -26, 0, 2, 3, -12, 2, -6],\n [16, 14, -... | 553 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 17, -11, -6, -31, 6, 4, -20, -9, 21, -22, 15],\n [17, -31, 16, 14, -29, 31, -20, -28, 2, -3, -5, -11],\n [-11, 16, 8, -6, 10, 10, 20, 6, -16, -2, 4, 10],\n [-6, 14, -6, -10, -18, 24, 8, 22, -6, -10, -28, -8],\n [-31, -29, 10,... | 98 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-33, -10, -6, 10, -4, -22, -2, -16, -8, 6, -22, -13],\n [-10, 17, -4, 24, 16, -21, -23, -24, 0, 6, 33, 18],\n [-6, -4, 10, -10, 6, 18, 0, 4, 16, -11, -22, -30],\n [10, 24, -10, -15, 16, -24, -30, 4, 24, 7, 4, -22],\n [-4, 16, 6, ... | 96 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, 18, 11, 16, -18, 10, -10, -18, 13, 29, -29, -6],\n [0, -11, -9, -1, -6, -22, -1, -2, -21, -29, -23, 4],\n [0, 0, -23, -32, -23, 12, -23, -3, -13, 31, -4, 19],\n [0, 0, 0, 32, -3, -4, -19, 16, -31, -15, -33, 31],\n [0... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -29, 24, 12, -26, 5, -17, 26, 30, -28, -6, 0],\n [0, -34, -31, 10, 4, 21, -25, 2, -19, -10, 3, 31],\n [0, 0, 10, 5, 14, 8, -26, -34, -15, -11, 33, -14],\n [0, 0, 0, -31, -30, -20, 10, -12, -22, -12, -13, 3],\n [0, 0, 0... | 255 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, 26, -10, 2, 24, -6, -5, -2, -2, -16, -1, 5],\n [26, 8, -8, -32, -5, 5, 14, -2, -22, -22, -2, -26],\n [-10, -8, 11, 0, -24, 16, -21, 27, 0, 4, 13, 21],\n [2, -32, 0, 31, 4, -16, -30, -16, -12, -3... | 545 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-32, -9, 0, -8, 29, -8, -12, -2, 8, 5, 19, -6],\n [-9, -21, -2, -2, 8, 1, -19, 11, -4, 23, 10, 10],\n [0, -2, -1, 16, -4, -30, -4, -8, -2, 19, -12, -8],\n [-8, -2, 16, 7, 4, 10, 14, -1, 9, 16, -26, 0],\n [29, 8, -4, 4, -29, 1, 4... | 72 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, -16, 12, -3, 0, -29, 26, 7, -8, 20, -10, 8],\n [-16, 9, 13, -30, -7, 6, 20, -12, -3, 12, 16, -3],\n [12, 13, -1, -4, 17, -6, -9, 12, -16, -4, -6, -17],\n [-3, -30, -4, 32, -6, -8, 13, 2, -16, -20, -22, 1],\n [0, -7, 17, -6, -3... | 96 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, -4, 7, -10, 18, 6, 20, -4, 12, -8, -13, 6],\n [-4, 8, -14, 16, 12, -17, 22, -6, 27, 10, -3, -14],\n [7, -14, 20, 6, 7, -8, 3, 19, 9, 16, 12, -12],\n [-10, 16, 6, 33, 24, -25, -24, 8, 14, -10, 17, 12],\n [18, 12, 7, 2... | 95 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-33, 27, 6, -20, -12, -12, 4, -12, 1, 9, -32, -19],\n [27, 19, 19, 2, 6, -4, 19, 1, -14, -6, -24, -12],\n [6, 19, -15, -10, 8, 2, 28, -1, 6, 18, 0, -8],\n [-20, 2, -10, -12, -14, -7, -6, -20, 1, -13, 2, 5],\n [-12, 6, 8, -14... | 530 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-27, 14, 0, -21, 6, 3, 28, 1, -16, -20, -1, 0],\n [14, 8, -14, 5, -20, 4, 0, -18, 30, -2, -28, -20],\n [0, -14, -4, 11, -16, -2, 9, 8, -22, 26, -3, -6],\n [-21, 5, 11, -4, -13, 0, 4, -6, 4, -1, 0, 19... | 496 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-32, -32, 14, 22, 29, 31, -8, 1, -34, 25, 15, -5],\n [0, -8, 3, 29, -20, 31, 32, 0, -6, -13, 27, 33],\n [0, 0, -17, 26, 7, -27, -11, -5, -23, 29, -6, -7],\n [0, 0, 0, 30, -32, 5, -6, -25, -3, 2, -31,... | 227 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[2, -19, 0, 22, 20, -17, 2, -8, -10, 1, 30, 14],\n [-19, -14, -2, 23, 2, 4, -5, 14, 16, -22, -21, 18],\n [0, -2, -27, 2, -8, 6, -2, -18, -12, -2, 4, -25],\n [22, 23, 2, -9, -7, 5, 0, 6, 4, 16, -16, 2],\n [20, 2, -8, -7, -30, 9, -2... | 88 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-23, -10, 8, -6, 10, 22, -10, -10, -16, 31, -2, -6],\n [-10, -22, 4, 9, -10, -3, -2, -22, 9, -2, -14, -2],\n [8, 4, -2, -6, 3, 17, -8, -24, 18, -1, 10, -17],\n [-6, 9, -6, -31, 0, 24, -4, -18, -6, 18, -12, 25],\n [10, -10, ... | 516 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-29, -3, 20, -4, 8, -1, -3, -29, -4, 0, -29, -8],\n [-3, 28, 8, 12, -18, 15, -8, 24, 12, -8, -11, 29],\n [20, 8, -23, -20, -2, 6, 14, -19, 2, 19, 20, -6],\n [-4, 12, -20, -14, 18, 23, -2, 26, 25, 20, -6, 6],\n [8, -18, -2, 18, -... | 85 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[35, 10, 28, 24, 20, 16, -2, 24, -1, 4, 4, -10],\n [10, 31, -6, 6, -21, -10, -1, 32, 3, -24, -12, -12],\n [28, -6, -22, 10, -24, 16, 26, 4, -14, -8, -12, 31],\n [24, 6, 10, 10, -24, 18, -30, 2, -27, -8, 16, 0],\n [20, -21, -2... | 588 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, -18, -19, 0, -23, -8, -22, 12, 16, -19, 14, 34],\n [-18, -27, -26, -4, -18, -4, 26, 1, 20, -2, -4, 4],\n [-19, -26, 22, 27, -4, 4, -1, 4, 3, 0, -3, -22],\n [0, -4, 27, -32, -2, -24, -2, 10, 13, 17, -20, -6],\n [-23, ... | 85 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 13, 32, -33, 3, 12, -15, -18, -1, -4, 19, -25],\n [0, 2, 10, -16, -10, -25, 30, 1, -30, 18, 11, 11],\n [0, 0, 0, -15, 22, 7, -13, 29, 23, 25, 28, -3],\n [0, 0, 0, -25, 12, -28, 15, -28, 32, 35, 0, -6],\n [0, 0, ... | 168 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-32, -20, -7, 26, 8, 18, 7, -5, 4, 0, 0, -30],\n [-20, -29, -9, -34, -24, -2, -6, 8, 11, -5, 34, 10],\n [-7, -9, -14, 1, -2, -7, 28, -21, 20, 20, 4, 8],\n [26, -34, 1, 15, -6, -17, -16, 4, 20, 20, 4, 6],\n [8, -24, -2, -6, 6, 2, ... | 96 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 11, 4, 33, -4, 9, 1, -21, -27, 19, -27, 28],\n [0, -21, 0, 0, 29, -8, -3, 29, 18, -30, 12, 33],\n [0, 0, -10, 14, 18, -23, 29, -1, -7, -5, -24, 33],\n [0, 0, 0, -9, 3, -15, -20, -7, 35, -22, 5, 5... | 146 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-34, 21, -2, -25, -1, 6, -12, 30, 0, -2, -5, 12],\n [21, 11, -4, -6, -12, -6, 13, -14, 16, 7, 8, -28],\n [-2, -4, 14, -22, 10, -30, -19, -16, 6, -3, 6, -26],\n [-25, -6, -22, 22, -22, 3, -10, -8, 13, 18, 14, 4],\n [-1, -12,... | 515 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, 14, 14, -21, -2, -18, 0, 10, 12, 14, -13, -2],\n [14, 16, 2, -25, -34, 10, -10, 10, 18, -22, -7, -12],\n [14, 2, 30, -10, 6, -17, -2, -2, 10, 4, 2, 4],\n [-21, -25, -10, 5, -6, 0, 0, 2, -20, 29, 8, -3],\n [-2, -34, 6, -... | 505 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[17, 18, 4, -16, 15, 4, -2, -34, -10, -22, -12, -18],\n [18, -24, 20, -9, 8, 3, -10, -26, 22, 9, -18, 31],\n [4, 20, 21, -16, 20, 4, 5, 30, -4, 2, -6, -13],\n [-16, -9, -16, 12, 4, -22, 9, 16, -12, -5, -8, 31],\n [15, 8, 20, 4, -... | 106 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, -28, 8, 0, -8, -2, -6, 6, 4, -10, 6, 0],\n [-28, -25, 6, 16, -22, -10, 6, 28, 8, -12, 28, -20],\n [8, 6, -23, -5, 32, -14, 29, -8, 6, -11, 1, 22],\n [0, 16, -5, -21, -12, 10, 20, -30, -20, -2, -27, 4],\n [-8, -22, 3... | 112 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, 21, -4, -18, 10, -15, -8, 4, 5, 10, -19, 2],\n [21, -13, 15, 0, 2, 16, 19, 23, -13, -8, 4, 17],\n [-4, 15, 6, -14, 12, 20, -18, 18, -20, 4, 0, -4],\n [-18, 0, -14, 6, 8, 4, -2, -16, 2, -2, 1, -16],\n [10, 2, 12, 8, -2... | 81 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[23, -4, 5, -12, 29, -26, 14, 27, 29, 22, 10, -8],\n [0, -32, 5, 24, 26, -25, -16, -29, 26, -29, 28, 22],\n [0, 0, -13, 0, -12, -15, 27, 11, 33, -21, -5, -32],\n [0, 0, 0, 27, -10, 14, -3, -32, 21, 26, -2, -2],\n [0, 0, 0, 0, -24,... | 32 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-29, 11, -12, -4, 4, -10, 24, -3, 8, -6, 12, -1],\n [11, 7, -3, -22, -10, -6, 2, 10, 2, 10, 18, 10],\n [-12, -3, 35, 11, 19, 18, 7, 10, -10, -2, 24, -27],\n [-4, -22, 11, 15, 22, 6, -18, -4, 6, 22, 0, -7],\n [4, -10, 19, 22, -5,... | 91 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -10, 6, 18, 9, -9, 15, -8, -28, -5, -31, -25],\n [0, 24, 10, -24, -23, -28, 6, 29, -27, -32, 19, 35],\n [0, 0, 21, 3, -8, -10, 34, -14, 9, -21, 29, -18],\n [0, 0, 0, 12, 12, 4, 23, 12, 5, -14, 28, 13],\n [0, 0, 0, 0, 24, -33,... | 30 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 29, 4, -16, -2, 16, 8, -15, -22, 6, 30, 8],\n [29, -24, -9, 9, -8, 32, 11, 0, 16, -4, 11, 6],\n [4, -9, -32, 6, -30, 0, -10, 4, -8, 11, 22, -23],\n [-16, 9, 6, 14, 30, 16, -14, 10, 1, 18, -7, 16],\n [-2, -8, -30... | 550 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-27, -13, -25, 25, -19, 14, 17, -22, 3, 19, -27, 27],\n [0, -1, 24, -6, 3, 16, 22, 29, -7, 22, 6, -8],\n [0, 0, 24, -6, 13, 35, 33, 24, -8, -16, 23, -24],\n [0, 0, 0, -26, 3, 30, 24, 5, 33, 1, -28, 21],\n [0, 0, 0, 0, -7, 18, -27... | 35 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-28, -26, 33, 30, 5, 12, 12, -3, 33, 15, 28, -13],\n [0, 7, -26, -35, -20, -17, -31, 19, 26, -31, -29, -3],\n [0, 0, 15, -24, -32, -35, 16, 17, -22, -15, -5, 5],\n [0, 0, 0, -21, -27, 24, 20, -21, -29, -12, 21, 28],\n [0, 0,... | 203 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-31, 16, -4, 18, -6, -14, -16, 1, -6, -24, -8, 13],\n [16, -26, 9, 4, 4, -18, -4, 8, -12, -13, -4, -20],\n [-4, 9, 11, 0, -10, 12, -24, 2, 2, 8, 0, -20],\n [18, 4, 0, -29, 20, 11, -3, -19, 10, -21, -14, -14],\n [-6, 4, -... | 84 | MATH |
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