messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[30, -15, -28, -12, 2, -20, 32, 8, 11, 22, 21, 28],\n [0, 26, 26, 6, 32, 28, -23, 5, -7, 22, 7, 30],\n [0, 0, -22, -2, 25, 33, 21, 9, -32, -1, 12, 25],\n [0, 0, 0, -10, 21, -29, -1, -15, -1, -3, -18, 21],\n [0, 0, 0, 0, -... | 32 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-18, 9, -12, 5, -3, -10, -24, 19, 35, -12, -25, 33],\n [0, -35, -9, -12, 33, 13, 6, 14, -35, 32, -6, -22],\n [0, 0, 32, -30, -23, -24, 33, 15, 17, 3, -35, -8],\n [0, 0, 0, -10, 2, -12, 32, 18, -4, -30, 28, -34],\n [0, 0, 0, 0, 2... | 35 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-26, 18, -2, -22, -1, -6, -14, 6, -29, -24, -22, -3],\n [18, 27, -8, -16, 6, -7, -20, 22, 9, 18, -2, -1],\n [-2, -8, 9, -7, -4, -26, -3, -5, 21, -22, 16, 0],\n [-22, -16, -7, -33, 5, -18, -30, -18, 19, 10, 10, 0],\n [-1, 6, -4, ... | 81 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, -16, -24, 22, 22, -14, 6, -6, -16, 3, 0, 14],\n [-16, 20, 3, -10, -14, 4, -10, 16, -6, -8, -9, -2],\n [-24, 3, -16, 7, -12, -15, 11, 17, -28, -16, 24, 10],\n [22, -10, 7, -15, -12, -20, -7, -3, 26, -16, -14, -12],\n [22, -1... | 96 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[34, 0, 10, -10, -26, 0, 20, 20, -2, 28, -12, -4],\n [0, -15, -27, -6, -12, -8, 10, -1, 5, 2, -8, 22],\n [10, -27, 29, 32, 18, -8, 7, 26, -18, -8, -9, 4],\n [-10, -6, 32, -20, -17, -16, 8, 10, 10, 4, -2, 3],\n [-26, -12, 18, -17, ... | 90 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -4, -13, -2, 4, -4, -2, 20, -3, -6, -21, 27],\n [-4, 34, 8, 26, 28, -1, 4, -1, 6, -30, 0, 20],\n [-13, 8, -35, 2, 0, -8, 1, -21, 0, -4, -8, -16],\n [-2, 26, 2, -34, -12, 14, -24, -10, -24, -16, 2, -15],\n [4, 28, 0, -12, -14, ... | 83 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[28, -26, 21, 2, 4, -8, 2, 32, -18, -1, 16, 0],\n [-26, -2, -4, 14, -2, 25, -18, 15, -2, 8, 3, 10],\n [21, -4, -4, 7, -14, 28, 30, -26, -5, 18, -21, -24],\n [2, 14, 7, 10, 25, -10, 9, 10, -1, -8, 4, -16],\n [4, -2, -14, 25, 2, -2,... | 101 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[29, 28, 3, 1, -10, -2, 0, 10, 28, -10, -26, -5],\n [0, -8, -1, 21, -16, 0, 27, 34, 8, -23, -3, 14],\n [0, 0, 14, 16, 11, 7, -26, 12, 32, 19, 6, -5],\n [0, 0, 0, -4, 6, -10, -24, -22, 5, 7, -6, -27],\n [0, 0, 0, 0, 1, -8, 24, 24,... | 29 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[35, -5, -6, 34, 3, 1, 4, -2, -1, -10, 30, 31],\n [-5, -20, 2, 2, -4, -8, -2, -14, -22, -5, 2, 10],\n [-6, 2, -22, -6, 31, -3, 20, -2, -24, -10, -16, 8],\n [34, 2, -6, -13, 8, -12, 4, 17, 16, 6, -10, 24],\n [3, -4, 31, 8, 7,... | 452 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-33, -9, 12, -21, -14, 5, -34, -3, -14, -4, -4, 2],\n [-9, -29, -6, 30, -25, -12, -14, 20, -26, -20, -2, 12],\n [12, -6, 4, -2, 10, -10, -8, -2, -2, -6, -4, -28],\n [-21, 30, -2, 16, -22, 23, 10, -7, -32, 2, 20, -25],\n [-14... | 569 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-34, 20, -20, 9, 11, 5, 8, 35, 22, 19, -11, -24],\n [0, 29, 18, 28, 27, -21, 33, -30, -7, -10, -35, -7],\n [0, 0, 28, 1, 19, 20, -19, 21, -14, -29, -33, 18],\n [0, 0, 0, 14, 35, 21, -28, 17, -1, 13, -12, -29],\n [0, 0, 0... | 34 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[12, 1, 12, 6, 10, -22, 4, 14, -22, -22, -8, 18],\n [1, 21, -16, 8, 0, -8, 31, 28, 2, -28, 1, 0],\n [12, -16, 32, -15, -23, 4, -10, 4, -1, 10, 0, -4],\n [6, 8, -15, -26, 1, 6, 28, 4, -2, -12, 13, 3],\n [10, 0, -23, 1, -28, -... | 526 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-33, -8, 1, 0, -6, 8, 0, 10, -20, 2, -12, -2],\n [-8, -25, -6, 8, -4, -28, -1, 4, -12, -25, -12, -16],\n [1, -6, -6, -16, -17, 8, 13, 3, -18, 2, 1, -12],\n [0, 8, -16, 27, 0, -4, -19, 0, 2, 0, -10, 7],\n [-6, -4, -17, 0, 33,... | 451 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[31, 28, -11, 2, -12, -26, 34, 7, -13, -6, -14, -34],\n [28, 33, -28, -2, 0, 2, -19, -26, 4, 26, -2, -4],\n [-11, -28, 3, -2, -20, 24, 6, -20, 27, -12, 20, 2],\n [2, -2, -2, -29, 20, -24, -3, 2, -26, 11, -12, 14],\n [-12, 0, ... | 595 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-20, -24, -9, -31, 11, -27, -13, 27, -29, 17, 19, -6],\n [0, -27, -5, -31, 25, 16, -3, 22, 5, -19, 16, -25],\n [0, 0, 25, 9, -5, 28, -29, 16, 26, -16, 24, -33],\n [0, 0, 0, -27, -10, 31, 23, -15, 9, -1, -2, 31],\n [0, 0, 0, ... | 266 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-33, 6, -8, 15, -24, -3, 17, 10, 27, 16, 16, 10],\n [6, -26, 6, 18, 30, -16, 3, 19, 24, -20, 28, 4],\n [-8, 6, 32, 29, -16, -2, 32, 0, -4, -12, 18, 16],\n [15, 18, 29, -35, -20, -27, -16, 8, -22, -16, -18... | 107 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[32, 14, -2, -2, -3, 18, 12, -13, -6, 2, 10, -14],\n [14, -26, -9, 4, 8, -3, 30, -9, -6, 24, 10, 6],\n [-2, -9, 2, 11, 32, 2, 32, 10, 14, -12, -16, 14],\n [-2, 4, 11, 20, 11, 26, -12, 22, -15, 27, 17,... | 576 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 14, -2, 16, -12, 6, 7, -21, -10, -19, -34, 10],\n [14, -33, 22, 0, 23, 10, -6, 15, 10, -24, 14, -14],\n [-2, 22, 30, 10, -9, -32, -28, 4, -14, -4, -2, 5],\n [16, 0, 10, 32, 22, 16, 2, -17, 9, 6, -3, 4],\n [-12, 23, -9... | 89 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[29, -6, 7, 15, -16, -6, -4, -4, -8, 18, 12, 14],\n [-6, 32, -10, -8, -4, 0, -6, 4, -20, 10, 12, -6],\n [7, -10, -15, 10, 9, 2, -1, -8, -8, 0, 11, -1],\n [15, -8, 10, -10, -7, 0, 18, 33, -1, 1, 14, -8],\n [-16, -4, 9, -7, 18,... | 443 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-33, -15, -14, -25, 33, -22, 32, 8, -6, 19, -11, -26],\n [0, -14, 17, -11, 17, -12, 1, 9, -22, 3, 32, -31],\n [0, 0, 7, -21, -15, 24, -31, -26, 14, 30, 24, 32],\n [0, 0, 0, -4, -10, 22, -8, -16, 19, -31, ... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-34, 5, 14, -12, -6, 1, -5, -8, 4, 3, 0, 14],\n [5, 22, 0, -20, 8, 9, 2, 10, -16, -6, -14, -12],\n [14, 0, -34, 13, 26, -4, 11, -4, -20, -8, 4, 2],\n [-12, -20, 13, 13, 30, -16, -18, 26, 17, 34, -25,... | 569 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[28, 13, -34, -5, 20, -29, 25, -2, 4, 12, -15, 13],\n [0, -16, -17, -6, -16, -5, -19, -33, -25, -33, 9, 23],\n [0, 0, -9, -35, 35, -31, 14, -32, 5, -17, -11, -29],\n [0, 0, 0, -3, -8, -19, 12, -24, -33, 30, 16, 25],\n [0, 0,... | 170 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, -7, 14, 22, 14, -3, 3, -15, -2, 0, -3, 16],\n [-7, 1, 28, 3, -28, -23, 20, 19, 0, 14, 0, 8],\n [14, 28, 35, -24, -22, -2, 6, -20, -12, 16, -19, -20],\n [22, 3, -24, 4, -5, 1, 26, 18, -2, 29, 0, 23],\n [14, -28, -22, -5, -14... | 110 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[35, -20, 9, -1, 20, 22, -28, 12, -6, 26, 22, 7],\n [-20, 31, 13, -8, 18, 14, 30, 6, -6, 22, 6, -4],\n [9, 13, 0, -16, -33, 22, -2, 0, -1, 0, -10, 28],\n [-1, -8, -16, 3, -7, 2, 2, 13, -16, 8, -2, -13],\n [20, 18, -33, -7, 27, -6,... | 98 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 0, 5, 15, -22, -2, 16, 8, 17, 14, -10, -16],\n [0, -35, 18, 20, 2, -24, 25, -2, 12, -24, 12, -1],\n [5, 18, 23, -9, 8, 16, 18, 8, -8, 22, 22, -6],\n [15, 20, -9, -2, -18, -12, 4, -6, 9, 12, 4, -7]... | 561 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[20, -22, 0, -10, -8, 20, -32, -16, 9, -18, -10, 6],\n [-22, 24, -7, 2, 3, 26, 2, -22, 23, -17, 6, -18],\n [0, -7, -19, -6, 12, -19, -10, -18, 6, 4, 14, -20],\n [-10, 2, -6, -11, 0, 16, 17, -2, 2, 4, 26, 4],\n [-8, 3, 12, 0, 3, -... | 94 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-22, -7, 2, 6, 10, 14, -19, -12, -6, -15, -7, -20],\n [-7, -7, -20, 14, 26, -32, -2, -26, -26, 20, 16, 9],\n [2, -20, -18, 12, -7, 8, 0, -4, 24, 3, -20, -4],\n [6, 14, 12, 26, -8, -26, 2, 16, 9, -24, -9, 15],\n [10, 26, -7, ... | 519 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[12, -2, -21, 28, 2, -8, -12, 10, 14, -4, -2, 3],\n [-2, -30, -28, 24, 21, 14, 4, 5, 24, -16, 17, -20],\n [-21, -28, 35, -11, -8, 1, -4, 3, 13, 14, 6, 10],\n [28, 24, -11, -5, -14, -3, 16, 0, -6, -22, 6, -22],\n [2, 21, -8, -14, ... | 89 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, -7, -2, -6, 6, 10, 16, 5, -10, 3, -6, 0],\n [-7, -3, 19, -12, -2, -1, 20, 12, 6, 5, 9, -8],\n [-2, 19, 20, 28, -3, -21, 6, 7, 18, 4, 13, 5],\n [-6, -12, 28, 23, 6, -1, -1, 30, 6, 10, 28, 8],\n [6, -2, -3, 6, -2, 7, -1... | 94 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, 32, -23, -25, 15, 18, -12, -14, -17, -4, -1, 13],\n [0, 7, 18, 24, -2, -18, 2, 25, 15, 32, -10, 30],\n [0, 0, -24, 33, 29, -20, -30, 20, 2, 8, 9, 3],\n [0, 0, 0, 30, 8, 9, -28, -31, 13, 16, -4, -23],\n [0, 0, 0, 0, -14... | 210 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 29, 12, -24, 12, -15, -32, 18, 2, -1, 16, -12],\n [29, 31, 7, -23, 0, 22, 1, 2, -10, -16, 2, 3],\n [12, 7, -31, 4, -8, 7, 2, -32, 16, 14, 26, -17],\n [-24, -23, 4, -27, 24, -19, -10, 6, 9, -16, 6, -6],\n [12, 0,... | 552 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, -22, -11, 24, 24, -18, -17, -11, 18, -13, -3, 15],\n [0, -30, -9, -23, -30, 15, 11, 4, 30, 27, 30, 1],\n [0, 0, -13, 35, 33, 25, -11, -33, -2, -3, -15, 18],\n [0, 0, 0, 7, 14, -23, 5, 28, -3, 4, 1... | 148 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 1, -5, 6, 12, 8, 14, 22, -3, -8, -7, 8],\n [1, -10, 22, -16, -18, 4, 4, -6, -4, 1, 6, -16],\n [-5, 22, -8, -20, -12, 31, -7, 4, 4, 20, 14, 30],\n [6, -16, -20, -5, -10, 8, 3, -2, -2, -7, -2, -12... | 417 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 11, 10, 0, -17, -6, -14, 8, -17, 8, 4, 21],\n [11, -24, 6, -16, 15, -12, -18, 32, 16, -24, 6, 10],\n [10, 6, 32, 0, -14, -22, -20, 6, 12, -3, 28, 12],\n [0, -16, 0, -30, 0, 14, -16, 12, 8, 6, 16, 0],\n [-17, 15, -14, 0, 15, -... | 104 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[28, -24, -14, 2, -20, -16, 2, -4, -32, -18, -19, -28],\n [-24, 24, 5, -13, 9, 4, 20, 3, 18, -8, -16, 8],\n [-14, 5, 24, 14, 6, -24, 18, -10, 16, -28, 0, -26],\n [2, -13, 14, -24, -9, 11, 16, 4, -10, -8, 3, -3],\n [-20, 9... | 99 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, 12, -6, 10, 18, 4, -24, -6, -9, -12, 15, 7],\n [12, -31, 0, 0, 22, 8, -22, 5, -16, -30, 8, -26],\n [-6, 0, -25, -10, 12, -14, -6, -27, 3, 12, -26, -9],\n [10, 0, -10, -11, -12, 18, 2, -18, 18, 6, -12, -28],\n [18, 22, 12,... | 578 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[25, 28, 3, 22, -13, 0, 6, -8, 24, 2, 10, -2],\n [28, 22, -2, -9, -2, 8, -13, 20, 2, -14, 5, -10],\n [3, -2, 23, 4, 5, 19, -10, -7, 18, -12, -20, 22],\n [22, -9, 4, -34, 1, 26, 23, -6, 2, 2, -10, 12],\n [-13, -2, 5, 1, 20, 26... | 544 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -12, -6, 2, 32, 16, -6, 12, 6, -3, -16, 5],\n [-12, 1, 8, -2, 24, 8, -6, -6, 5, -29, 10, 15],\n [-6, 8, -4, 10, -16, 11, 11, 26, 20, 14, -6, 4],\n [2, -2, 10, 14, -8, 6, 11, -6, 12, -23, -20, 18],... | 495 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[27, -2, 19, 0, -30, -24, -22, 21, -14, 27, 7, -20],\n [0, -24, -22, 1, 16, 14, 21, -10, 1, -18, -1, -26],\n [0, 0, 9, -33, 9, -2, 34, -14, 30, -25, -19, 1],\n [0, 0, 0, -25, -6, -34, -1, -7, 15, -31, 33, -14],\n [0, 0, 0, 0, -3, ... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-33, 35, -35, 13, -1, -1, 13, 26, -20, 29, -34, -34],\n [0, 23, 6, -4, -20, 13, 17, 30, 1, 17, 15, 30],\n [0, 0, -7, 30, -21, 9, 35, -7, -3, 15, -31, 1],\n [0, 0, 0, -29, 32, -17, -2, -26, -34, 35, -1, -4],\n [0, 0,... | 233 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, -6, -18, 6, -11, -4, 2, -18, -16, 4, 10, -10],\n [-6, 6, -19, 13, 6, 4, -26, 12, 2, 4, -20, 1],\n [-18, -19, -15, -10, -6, 0, -18, -30, -5, 0, -24, 22],\n [6, 13, -10, -19, -6, 1, 7, 4, -6, -14, 20, -8],\n [-11... | 459 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, 29, 12, -24, 34, -17, -10, 2, -11, -24, 27, 4],\n [0, -30, 24, 16, -13, -34, -10, -19, -6, 12, 24, -15],\n [0, 0, 33, -10, 25, -31, -23, 26, 22, 4, 1, 12],\n [0, 0, 0, -21, 24, -13, -15, 15, 0, -2, 3... | 33 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-27, 19, 19, 16, 11, -4, 31, -28, 6, -19, 5, -3],\n [0, 9, -27, -17, 2, 7, 2, 24, -35, -15, 26, -32],\n [0, 0, 12, 0, -34, 12, -18, -6, -28, 35, -11, 2],\n [0, 0, 0, 2, 34, 24, -28, 13, 18, -15, 19, -23],\n [0, 0, 0... | 182 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -8, 8, -2, 6, -22, 7, -12, 15, 35, -4, 3],\n [-8, -31, 1, 8, -5, 20, -2, -2, -8, -4, -8, 13],\n [8, 1, 14, 28, -7, 6, -26, 12, 4, -24, -8, -6],\n [-2, 8, 28, 25, -1, -10, 0, 2, 14, 12, -25, -3],\n [6, -5, -7, -1, 33, 4... | 478 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[22, -28, -7, 1, -10, -30, -6, 9, 24, 9, 3, 2],\n [-28, -1, 5, 11, 20, -10, -26, -8, -4, 4, -6, 6],\n [-7, 5, 35, 6, -3, -6, 10, -11, 16, -8, -16, 8],\n [1, 11, 6, -17, -32, 18, 15, 16, 7, -15, 0, 0],\n [-10, 20, -3, -32, -14, 9, ... | 91 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[27, -22, -12, 4, 6, -6, 21, 2, 11, 18, -10, -2],\n [-22, -32, -2, -31, 4, 6, 14, -17, -4, 17, 2, -4],\n [-12, -2, 27, -22, 0, 2, 9, 3, 3, -24, -17, 12],\n [4, -31, -22, -17, 0, -21, 0, -22, -4, -18, 14, -4],\n [6, 4... | 572 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, -12, -17, -12, 9, -26, -9, 8, 20, 1, -15, 2],\n [-12, -18, 20, 4, 10, 21, 0, 15, 16, -4, -4, -16],\n [-17, 20, -19, -10, 13, 5, 11, -7, -22, -18, 20, -26],\n [-12, 4, -10, -27, 9, -21, -20, 0, -24, -2, -2, 12],\n [9, 10, 13,... | 73 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[12, 27, -28, -1, -4, -2, 9, -14, -28, 3, -2, 20],\n [27, -32, 28, -4, 0, 1, -4, -25, -29, -2, -2, 0],\n [-28, 28, 4, 0, -12, -16, -2, -3, -2, 11, 16, 23],\n [-1, -4, 0, -28, -18, 2, -1, 7, -4, -6, 4, -10]... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, 12, 0, -10, 28, -26, -8, -5, 0, 20, 0, 8],\n [12, 9, -6, -6, 6, -18, 21, 29, -20, 16, 0, 24],\n [0, -6, -31, 8, 11, 4, 0, -24, 10, -29, 10, 0],\n [-10, -6, 8, -19, 6, 16, 10, 6, 2, 16, 2, 5],\n [2... | 524 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -19, -3, 2, -10, -18, 18, 17, -24, 32, -10, -18],\n [-19, 16, 12, -1, 20, 7, 4, 20, -14, -2, 3, -4],\n [-3, 12, -22, 10, -11, -3, 18, -12, -2, -9, -26, -27],\n [2, -1, 10, 8, -5, -2, -2, 16, -20, -5, 4, -22],\n [-10, 20, -11, ... | 94 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-31, 2, -12, -12, 4, 9, -4, -27, 14, -4, -15, 20],\n [2, -6, -4, 5, -14, -8, -24, 1, 12, -19, -14, -10],\n [-12, -4, 32, 12, 0, 4, 28, 2, 25, 20, 4, 32],\n [-12, 5, 12, 23, 9, 18, -5, 9, 10, -22, 3, -7],\n [4, -14, 0, 9, -8, -5, ... | 94 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, 9, 2, 4, 0, -2, -16, 1, 6, 20, -7, 22],\n [9, -11, 0, 12, 6, 16, -10, 0, -21, -13, -2, 28],\n [2, 0, -29, -16, 18, 3, 32, -16, -3, 13, -2, 0],\n [4, 12, -16, -18, 1, 3, -16, -8, -6, 0, -17, 30],\n [0, 6, 18, 1, 11, -4... | 86 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-29, 14, -20, -8, 24, 14, -5, 2, -32, -8, 16, -20],\n [14, 1, -2, -22, -6, 19, -13, 10, 1, 8, -6, -8],\n [-20, -2, 12, -18, 2, 18, 15, 2, -17, 23, 22, -28],\n [-8, -22, -18, 4, 24, -7, 10, 12, 7, -15... | 555 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -13, 1, -6, 27, -5, 6, 19, 11, -35, 20, -25],\n [0, 7, -10, -10, -28, 32, 31, 23, 7, 15, 7, -22],\n [0, 0, -33, 6, -1, 16, 9, -34, 12, 29, 35, -27],\n [0, 0, 0, 14, 31, 33, -11, -3, 10, -24, -26, -18],\n [0, 0, 0... | 161 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, -6, 11, -1, -7, -16, 10, 10, -6, -20, 10, 18],\n [-6, 0, 0, 22, 10, -8, -8, -17, -2, 2, -2, 20],\n [11, 0, -30, 28, 6, -7, -22, 24, 16, 17, 2, 6],\n [-1, 22, 28, 17, -4, 6, 26, -11, 14, 5, 14, -6],\n [-7, 10, 6, -4, 7,... | 512 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[24, 5, 14, -12, -15, 8, -17, -16, 6, -20, 4, -25],\n [5, -31, 2, -26, -8, -18, -32, 4, 6, 11, 16, -23],\n [14, 2, -19, 19, 26, -5, -1, 0, 1, 2, 23, -5],\n [-12, -26, 19, -14, 12, 0, -22, -21, -2, 18, 4, -17],\n [-15... | 550 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, -28, 19, -17, -3, -12, 13, 31, -33, 17, -35, -9],\n [0, -5, -8, -20, -27, -4, 29, 29, -12, 30, 21, -18],\n [0, 0, 30, -34, -25, 24, 25, 29, -8, -9, -24, 3],\n [0, 0, 0, 10, -22, -4, -29, 7, 29, -15, -6, -10],\n [0, 0, 0, 0, -... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 15, 27, 22, -25, -20, -9, -17, -10, 28, -1, 31],\n [0, 29, 20, -33, 5, -8, -7, 16, -27, 12, -8, 33],\n [0, 0, -24, 19, 18, 29, 26, 30, 19, -8, -17, -5],\n [0, 0, 0, -4, 23, 28, -23, -6, 9, 6, 13, 34],\... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, -4, 15, 14, -30, 1, 21, 26, -29, 18, -18, -5],\n [-4, -24, -28, 6, -4, 4, -5, 0, 7, 5, 3, -8],\n [15, -28, 5, -12, 6, -1, 25, 2, -2, 4, 8, -12],\n [14, 6, -12, -3, 20, -20, 8, 8, 16, -21, -16, 3],\n [-30, -4, 6, 20, -5, 3, 19... | 84 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, 10, -3, -32, -4, -26, -18, -15, 11, -18, 10, -27],\n [10, 3, -26, -4, -20, -2, 10, -8, -26, 2, 2, 2],\n [-3, -26, 1, 26, 8, -6, 18, 17, 26, 4, 4, -2],\n [-32, -4, 26, -5, 17, -17, 15, 6, 2, -22, 0, 21],\n [-4, -20, 8, 17, -3... | 113 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[20, -30, -2, 7, 33, -15, -35, 7, 23, -1, 25, -17],\n [0, 22, 27, 6, -30, 18, 8, 23, -22, -20, 24, -7],\n [0, 0, -5, 19, -18, -32, 0, 17, -26, 22, 24, -32],\n [0, 0, 0, 30, -30, -13, 29, 31, 10, -8, 2... | 154 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[28, -8, -8, -14, -13, -16, -8, -22, -16, 10, 0, 16],\n [-8, 23, 13, -33, 18, 12, -14, 34, 27, -10, 0, -14],\n [-8, 13, 19, 19, -17, -24, 3, -2, 8, 4, -1, -5],\n [-14, -33, 19, 9, -4, 14, 25, -23, -8,... | 555 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 1, -11, -14, 2, 0, -28, -1, -6, -22, -4, 16],\n [1, -4, -14, 0, 1, 14, 9, 5, 14, -21, -7, 4],\n [-11, -14, 1, -6, 2, 12, -4, 17, 3, 24, -12, -3],\n [-14, 0, -6, -5, 2, -12, -28, -2, -6, 20, 15, 14],\n [2, 1, 2, 2, 28, 12, -4,... | 80 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-25, 33, -6, -3, -10, -8, 24, -11, 17, -13, 2, 2],\n [33, 22, -14, 12, 4, 14, -15, -2, 25, -4, 20, -12],\n [-6, -14, -8, 12, -18, 0, 12, -5, -15, 4, 18, 26],\n [-3, 12, 12, -35, -6, -19, 16, 7, 14, -15, 0, 1],\n [-10, 4, -18, -6,... | 87 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 2, -3, 4, -3, 26, 9, 22, 26, -22, -24, -7],\n [2, -19, -26, 24, 4, 32, -6, -7, -14, 0, 24, -1],\n [-3, -26, 2, -1, 8, 21, -18, 10, 1, -13, -24, -16],\n [4, 24, -1, 24, -16, -12, -2, -2, -12, -4, -4, -5... | 89 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-31, 28, -13, -6, 24, -1, 20, 8, 9, -17, 18, -10],\n [28, -19, -16, 15, 4, 6, -10, 0, -22, 8, 8, 19],\n [-13, -16, 20, 14, 2, 8, 9, -4, -2, -18, 12, -4],\n [-6, 15, 14, -8, -6, -12, 16, 4, 9, -8, 13, 6],\n [24, 4, 2... | 505 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[16, -26, 5, 18, 18, 4, -7, 6, 0, -20, 8, 6],\n [-26, 12, 8, 4, 0, -3, -28, 7, 8, -22, -20, 12],\n [5, 8, 14, 11, 2, 8, -6, 19, -8, 4, 30, -25],\n [18, 4, 11, 35, 12, -4, -18, -14, -13, -8, 29, -10],\n [18, 0, 2, 12, -1, 12,... | 579 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -19, 33, -22, -22, 3, -32, -26, 15, -12, -6, -5],\n [0, -12, 26, -4, -28, 33, -16, -21, 23, -27, -8, 14],\n [0, 0, -13, -12, -20, 20, -14, -13, -17, -3, 23, 5],\n [0, 0, 0, 21, -19, 23, -25, -31, 5, 2... | 31 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-29, -34, 30, -29, 28, 33, 20, -32, 4, 29, -20, -12],\n [0, 32, 30, 15, 0, 30, -9, 19, -27, 29, 24, -21],\n [0, 0, 29, -35, 34, 35, 26, -19, 26, 15, 3, 7],\n [0, 0, 0, 22, 29, 11, -26, -15, 20, -25, -16, 4],\n [0, 0, 0, 0, 25, 1... | 32 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-34, -24, -2, 6, 14, 8, -28, -12, 17, 0, -8, -22],\n [-24, -26, -27, -16, -23, -18, 34, 11, 29, 8, 2, 10],\n [-2, -27, -8, 4, -20, 10, -19, 0, 12, 0, 0, 16],\n [6, -16, 4, -18, 2, 22, -20, -5, 0, -30, 14, 0],\n [14, -23, -2... | 582 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-26, -14, 22, -5, 25, -2, -6, -1, 29, 22, -2, 30],\n [0, -31, -29, 11, -11, -35, -15, -4, 15, -28, 10, 2],\n [0, 0, 25, 21, 28, 11, -31, -31, 28, 0, -1, -34],\n [0, 0, 0, -14, 2, -12, -20, -19, -8, -32, 10, -15],\n [0, 0, 0, 0, 2... | 31 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-28, 0, 33, -2, 29, -31, -10, 10, 6, -2, 15, 2],\n [0, -8, 19, -24, 25, 8, 30, 29, 6, 9, -21, -24],\n [0, 0, 0, -8, -33, 18, 1, 16, 13, 7, 35, -31],\n [0, 0, 0, -3, 31, 10, -31, -34, 34, -32, -16, -35],\n [0, 0, 0, 0, -6, 1... | 144 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[17, 2, 8, -7, 8, -8, -5, 1, 2, -22, 2, 24],\n [2, 32, 4, -14, -4, -2, 4, 18, 18, 2, -4, -3],\n [8, 4, -33, 8, 14, -4, 18, 4, 14, -15, -4, -8],\n [-7, -14, 8, -17, -1, 10, 1, -24, 4, -16, -12, -23],\n [8, -4, 14, -1, 28, -6, -4, ... | 87 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[33, -16, -16, 16, 11, -12, -3, -25, 32, 5, -27, -8],\n [-16, -34, 0, -6, 4, -2, 12, 5, 6, -18, 12, 4],\n [-16, 0, -3, 6, 6, 2, -6, -5, -20, 12, 8, 21],\n [16, -6, 6, 4, -2, -5, 14, 10, -2, -16, -14, -6],\n [11, 4, 6... | 479 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, 20, -27, -19, -2, 10, 0, 20, 21, -4, 1, 10],\n [20, -21, -28, 0, 16, 17, -2, 2, 4, -4, -8, 12],\n [-27, -28, 24, -24, 22, -12, -26, -17, -4, 14, 1, -20],\n [-19, 0, -24, -31, 2, -12, 22, -2, 10, 12, 8, -4],\n [-2, 16, 2... | 496 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-32, 6, 26, 0, 3, 2, -15, 10, 1, 2, 2, 5],\n [6, 14, 14, 2, 30, -4, 18, 15, 18, -25, 2, 3],\n [26, 14, -18, 31, 7, -6, -13, 0, -7, 16, 16, 11],\n [0, 2, 31, 22, 2, -2, 24, 12, 8, 7, 20, 1],\n [3, 30,... | 523 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 19, 0, 16, 24, 0, -19, -1, 26, 20, 3, -24],\n [19, 0, 26, -8, -6, 14, -11, 11, -15, -14, 30, 23],\n [0, 26, -22, 12, -12, 18, -19, 5, 3, -22, -15, -28],\n [16, -8, 12, 0, 0, -22, 10, 0, 5, 1, 8, ... | 556 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[33, 33, 5, 22, 18, 10, 17, -2, -1, -8, -16, 33],\n [0, 20, 33, -1, -28, -3, -6, -3, 26, 24, -13, 20],\n [0, 0, -16, 35, 34, 25, -3, -28, 25, -14, 20, 12],\n [0, 0, 0, 18, 23, -30, -11, -4, 25, -1, 26, -11],\n [0, 0, 0, 0, -... | 205 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-33, 22, 29, 1, 3, 1, -12, -13, -10, -35, -29, -23],\n [0, 25, 0, -15, -16, -16, 28, -35, 8, 27, -3, -17],\n [0, 0, -12, 19, 17, 2, 1, -33, 11, -30, 9, 3],\n [0, 0, 0, -13, 3, 30, -29, 16, 34, -10, -32, 16],\n [0, 0, 0, 0, 23, -1... | 35 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[18, 11, 0, 1, -10, 5, 12, 18, -18, -8, 10, -26],\n [11, -22, -20, -12, 2, -20, -18, 18, -3, 8, 1, 18],\n [0, -20, -20, 20, 34, 0, 28, 6, 14, 18, -15, -16],\n [1, -12, 20, -24, 12, 6, -24, -2, 10, 24, -24, 3],\n [-10, 2, 34, 12, ... | 101 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-32, -2, 8, -2, 18, -26, -20, 13, -3, 14, -16, -22],\n [-2, 15, 22, -11, -1, -23, -20, 12, -16, -8, 0, 4],\n [8, 22, 31, 14, 0, -14, -7, 10, 2, 2, -8, 6],\n [-2, -11, 14, 16, -13, -16, 18, 4, 30, 6, ... | 520 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, -17, -24, -16, 16, 20, -32, -18, 29, 4, -30, -12],\n [-17, -32, -12, 2, -1, -16, -20, 20, -16, 1, 15, -6],\n [-24, -12, -15, -6, 17, -18, 20, 14, -8, 8, -30, 18],\n [-16, 2, -6, 4, -6, 12, -24, 1... | 567 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, -29, 24, 5, -19, 1, 26, 8, 0, 28, 6, -6],\n [0, -12, -7, -20, 19, 34, -19, 20, -25, -8, -29, -7],\n [0, 0, 30, -6, -17, 8, 20, 26, 29, 14, 14, 20],\n [0, 0, 0, -20, 34, 26, 27, -27, 3, 16, -27, 30],\n [0, 0, 0, 0, -33... | 33 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 1, 18, -33, 7, 5, 3, -28, -4, -8, 10, -12],\n [1, -3, -26, -17, 22, 12, -14, -28, -22, -6, -14, 2],\n [18, -26, -1, -30, 20, -6, -26, 11, -22, 4, -4, -2],\n [-33, -17, -30, 6, 18, -16, -8, -22, 3, -8, 3, -20],\n [7, 22, 20, 1... | 103 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-22, 13, -34, 3, -12, -23, -25, -17, 8, -32, 17, -8],\n [0, 13, 32, -20, -10, -5, 19, -29, -20, 12, 22, 2],\n [0, 0, 18, 1, 28, -13, 16, -30, -24, -25, 10, -24],\n [0, 0, 0, 29, 3, -30, 9, 16, -2, 10, 21, -23],\n [0... | 194 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-14, -26, 2, 28, 7, 19, -25, -20, -11, 19, 31, 30],\n [0, 10, -25, 34, -8, 31, 8, 34, 19, -19, 4, 34],\n [0, 0, 17, 29, -35, 3, -6, 7, -13, -5, 33, 16],\n [0, 0, 0, -19, 11, 20, 11, 1, -8, 5, 20, 30],\n [0, 0, 0, 0, 29, -5, 17, 1... | 32 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[13, -26, 18, 2, -8, -8, -26, 5, -17, -5, 15, -8],\n [-26, 10, 0, 22, 22, 26, -3, 7, -11, 8, 12, -16],\n [18, 0, 4, -16, 0, -13, -22, 10, -22, 4, 14, 11],\n [2, 22, -16, 22, 4, 6, 20, 20, 0, 18, 8, -13],\n... | 114 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, -12, 14, -5, -12, 6, -24, 25, 3, -10, -22, -6],\n [-12, 18, 1, -4, 20, -10, 0, -21, -9, 10, -12, 14],\n [14, 1, 11, 2, -20, -1, -15, 18, -6, -13, 15, -10],\n [-5, -4, 2, 5, -21, 0, -16, -5, 12, 20, 18, -10],\n [-12, 20... | 452 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 21, -15, -14, 7, -10, -4, 20, 10, -8, -17, -17],\n [21, 17, -4, 6, 20, 14, -17, -14, 6, 22, -4, 14],\n [-15, -4, -16, 21, 4, 4, 16, 12, -8, -11, -24, 22],\n [-14, 6, 21, 31, -30, -6, -14, -2, -25, 6, -11, -16],\n [7, 20, 4, -... | 84 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 29, 34, 16, -16, 34, -25, -16, 33, 31, -5, 27],\n [0, 16, -2, 8, -13, -11, 30, -14, 5, 30, -10, 24],\n [0, 0, -22, -12, 7, 19, 33, 21, 30, -24, 21, 7],\n [0, 0, 0, -6, 2, 30, 13, 17, 29, -18, -9, -19],\n [0, 0, 0, 0, 24, ... | 168 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-33, 24, -8, -12, 4, 2, -26, -14, 18, -23, -14, 8],\n [24, -32, 12, -16, 4, -13, 1, 14, -14, 14, 14, -32],\n [-8, 12, 24, 30, -14, 14, -11, 20, 6, 17, -1, 6],\n [-12, -16, 30, -23, -28, 7, -22, 0, 0,... | 560 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 4, -2, -29, 11, 12, -7, 11, -34, -32, 19, -15],\n [0, 5, 14, -10, -15, -16, 16, 11, 35, -13, -19, -5],\n [0, 0, -13, -8, 35, 15, 17, 5, -9, 11, -21, -32],\n [0, 0, 0, 32, 24, -10, -25, 14, -28, 32, 9, 35],\n [0, 0, ... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-27, 0, 16, 1, 7, 4, -2, 16, 1, -14, 16, -5],\n [0, -1, 3, -8, 15, 2, -18, 7, -9, -30, -6, -6],\n [16, 3, 2, -10, 10, 19, 14, 12, 11, -8, 2, 14],\n [1, -8, -10, -15, -18, -18, 17, 26, 3, 24, -8, -5],... | 440 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-22, 10, -12, 5, -7, 12, -10, -13, -6, 24, 25, 20],\n [0, -30, 29, -16, -9, -3, 29, -22, -33, -21, -7, 18],\n [0, 0, -18, -26, 27, -33, -26, 7, 20, 3, 25, 5],\n [0, 0, 0, -2, -18, -14, 5, -14, 5, -26, 26, -13],\n [0, 0, 0, 0, 29... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-24, 28, -2, 4, 10, -6, 11, 10, -14, -29, 0, -27],\n [0, -32, 2, -8, 33, -34, -25, -6, 8, -21, 4, 18],\n [0, 0, -8, -14, 24, -11, -27, -28, 7, 17, -14, 21],\n [0, 0, 0, 19, -17, 15, 6, -12, -26, 9, -18, -11],\n [0, 0, 0, 0, ... | 196 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-15, -6, 5, -30, 26, 1, -21, -18, -26, 31, 26, 32],\n [0, 28, -35, -1, -21, -27, 8, 4, -22, 20, -30, -17],\n [0, 0, 24, -7, 13, 30, -35, -34, 10, 2, -9, 4],\n [0, 0, 0, 4, -4, -5, 7, -12, -33, 31, 30, -9],\n [0, 0, 0, 0,... | 35 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-30, -29, 31, 25, 6, -31, 15, -1, 21, 22, 23, 13],\n [0, -15, 0, -16, 9, 10, -22, -17, 34, 15, -33, -33],\n [0, 0, -2, 22, -33, -15, -33, 1, -19, -14, -26, 8],\n [0, 0, 0, -22, -19, -19, 8, -23, -30, -10, -6, 14],\n [0, 0, ... | 194 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-13, 16, 32, -11, -2, 20, 1, -1, 6, -10, -21, -8],\n [16, -16, 9, 14, 12, 16, 13, 0, -11, 13, -21, 26],\n [32, 9, -2, 8, 10, -24, -5, -21, 21, -16, -13, -20],\n [-11, 14, 8, 6, 32, 28, 22, -10, 0, 10, 16,... | 89 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-34, -2, 11, -2, -1, 10, -2, -2, 1, 5, 14, -11],\n [-2, 26, -28, -26, 18, 8, 1, -23, 2, -14, -1, 15],\n [11, -28, -27, -18, -24, 2, -4, -18, 28, 4, 10, -5],\n [-2, -26, -18, 24, -14, 10, -32, 6, 14, -6, 12, -18],\n [-1, 18, -24, ... | 91 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-20, 28, -9, 3, -3, -32, -25, -14, 3, -34, -25, 20],\n [0, 15, 31, 20, 10, 35, -8, 2, -12, -12, 3, -33],\n [0, 0, 32, 33, -18, 32, -33, -19, 18, -32, 20, -7],\n [0, 0, 0, 10, -20, -6, 9, 7, -15, -11, 34, 9],\n [0, 0, 0, ... | 33 | MATH |
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