messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, 12, -6, 26, 7, 28, -13, 3, 1, 8, 6, 4],\n [12, -12, -6, -2, 19, -12, 15, 6, 12, 2, 10, -32],\n [-6, -6, 6, -4, -12, -22, 19, -16, 14, 14, 14, -6],\n [26, -2, -4, 20, 20, -14, 4, -8, -6, 4, 10, -22],\n [7, 19, -1... | 507 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -2, 6, 10, 6, 32, 26, -5, -12, 0, 10, -5],\n [-2, 5, 2, 3, 6, 15, -2, -14, -21, 4, -30, 14],\n [6, 2, -28, -18, 4, 20, 26, 16, -9, -10, -16, -20],\n [10, 3, -18, -17, -6, 14, -22, -3, 0, 26, -7, 22],\n [6, 6, 4, ... | 578 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-31, -1, -17, 19, 33, 8, 2, 26, -14, 4, -10, -31],\n [0, 13, -33, 2, -22, 11, -22, 2, 28, 8, 34, 29],\n [0, 0, -21, -33, 31, 1, 19, 2, 27, -35, 35, -17],\n [0, 0, 0, -22, -23, -9, -27, 5, 12, -24, -26, -30],\n [0, 0, 0, ... | 34 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[11, 18, 10, 32, -32, 30, 7, 26, -32, 29, 26, -34],\n [0, 21, 9, -18, 12, 6, 5, 22, 6, -1, 2, 31],\n [0, 0, 9, 35, -17, -19, 29, 20, 5, 6, -30, 33],\n [0, 0, 0, -28, 8, 22, 31, -23, -17, 13, -6, 30],\n [0, 0, 0, 0, -21, -16, -31,... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, 10, 2, -8, -11, 2, 6, 16, -4, -2, -5, -14],\n [10, 26, -11, -23, -9, -19, -16, 10, 18, 1, -7, -6],\n [2, -11, 34, -24, -17, 6, 18, -10, 16, 18, 4, -10],\n [-8, -23, -24, -20, -1, 16, 20, -2, 2, -9, 2... | 96 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-29, 20, 28, -16, 2, 22, -20, 15, -9, 15, -20, 24],\n [0, 31, -34, 12, 16, -12, -34, 29, -16, -2, 5, 5],\n [0, 0, 8, 31, 26, -24, -6, 29, 5, -16, -30, -32],\n [0, 0, 0, -35, -28, 27, -3, -21, -5, -15, -33, 30],\n [0, 0, ... | 35 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-35, 4, 24, 4, 19, -9, 13, 15, -32, 6, 16, -2],\n [4, 33, -7, 10, 30, 6, -16, 4, -29, -4, -14, -6],\n [24, -7, -6, -9, 14, 12, 18, -29, 22, -2, 7, 8],\n [4, 10, -9, 18, 8, -14, 4, -12, 0, 10, 1, 8],\n [19, 30, 14, 8, 9, ... | 104 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-32, -20, 22, 2, 4, -12, -7, 0, -17, 16, 5, -9],\n [-20, 28, 18, 14, 9, -8, -5, -3, 28, 4, 11, 9],\n [22, 18, -13, 2, -10, -16, -2, -26, -19, -30, 15, 18],\n [2, 14, 2, 15, 14, 26, -15, -3, -3, -18, -1, 16],\n [4, 9, -10, 14... | 562 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, 0, 34, 20, 25, 4, 25, 8, -6, -12, 2, 3],\n [0, -17, -8, 9, -17, -8, -10, -12, 20, -28, -18, 10],\n [34, -8, 15, -18, 32, 18, -6, 4, 30, 17, -20, 4],\n [20, 9, -18, -2, 0, -24, 2, -17, -6, -24, 1, 15]... | 94 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[14, 16, -27, -16, -18, -6, 29, -12, 11, 8, -7, 32],\n [0, -31, 14, 4, 10, 15, -25, -24, -23, 28, -28, 29],\n [0, 0, -23, -34, 32, 12, -33, 32, -30, -31, -33, -26],\n [0, 0, 0, -15, 7, -8, -15, 0, -12, 18, 2, -19],\n... | 202 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-19, -20, 8, -20, -27, 10, 15, -8, 4, 20, 2, -6],\n [-20, 10, -18, -5, -6, 12, 3, 20, 8, 20, -8, 16],\n [8, -18, 5, -7, 13, 10, 0, 0, 1, 11, 2, 3],\n [-20, -5, -7, -26, 28, -11, 4, 18, -13, -25, 2, 15],\n [-27, -6, 13, 2... | 95 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, 12, 10, 2, 11, 24, -18, 8, 28, -7, -14, 2],\n [12, -4, 12, 10, 20, 17, 2, 12, -3, 20, 7, 3],\n [10, 12, 11, -14, -6, -10, 16, -6, 2, 12, 16, 4],\n [2, 10, -14, 23, -20, 0, 8, -22, 11, 12, -26, -22],\n [11, 20, -6, -20, ... | 526 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[9, 14, -34, -21, 1, -21, 24, 28, 16, -13, 1, 5],\n [0, -11, 1, 4, 10, 24, -17, -27, 33, -31, -10, -17],\n [0, 0, -20, 35, -18, 20, -15, -5, -35, -33, -11, -28],\n [0, 0, 0, -29, -28, -17, -19, -25, 13, -25, 5, 26],\n [0, 0, ... | 193 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-13, 34, -6, 19, -29, -24, 24, 16, -9, -24, -23, 26],\n [0, -1, 24, -7, -5, 25, -34, -3, 26, 23, 4, 13],\n [0, 0, -23, 18, -23, 3, -13, -22, -19, -12, 22, 27],\n [0, 0, 0, -15, 1, -29, -23, -6, -5, -31, -... | 29 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-20, -10, -4, -20, -9, 2, 6, -7, 23, -6, 20, -23],\n [-10, 20, 12, -6, 2, 8, 8, 16, 0, 2, -20, 13],\n [-4, 12, -14, -8, -8, 18, -5, -15, 14, 33, 12, 4],\n [-20, -6, -8, 23, 24, -30, -31, 2, 7, 11, -6, 0],... | 97 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, -2, -2, 4, -8, -4, 17, 13, 16, -18, -7, -26],\n [-2, -11, -17, -4, 2, -28, -14, -15, 2, 14, 2, -18],\n [-2, -17, 20, -14, 14, -24, -21, 7, -15, -13, 7, -16],\n [4, -4, -14, 7, 6, 18, 23, 13, 8, 10, -8, 20],\n [-8, 2, 14, 6, ... | 95 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-20, -12, 28, 20, -12, 8, 22, 10, 11, -8, -6, -10],\n [-12, 34, -20, 6, -2, 14, -24, 7, -12, 5, -10, 13],\n [28, -20, -30, -4, 14, 20, -12, 20, -11, 0, 5, -8],\n [20, 6, -4, 32, -30, 6, 10, 8, 8, -28, -7, -16],\n [-12, -... | 95 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -12, -6, -4, 10, -20, 2, -14, -16, 8, 18, -6],\n [-12, -34, 13, 4, 6, -10, -2, -13, 16, -16, 6, 0],\n [-6, 13, 34, -12, 19, -6, -2, 0, -30, -12, 17, 17],\n [-4, 4, -12, -6, 25, -10, 2, 4, -14, 16, -8, 0],\n [10, 6, 1... | 103 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[26, -12, -2, 28, -9, 20, -7, 0, -9, 18, 6, -2],\n [-12, -16, -14, 19, 2, 17, -16, 10, 2, 15, -20, -18],\n [-2, -14, 7, -30, 4, 22, 0, 7, 14, -3, -8, 24],\n [28, 19, -30, -15, 10, 15, -20, 23, 7, 16, 0, -1... | 93 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -12, 17, -24, 10, 6, -8, 0, -8, -6, 19, -20],\n [-12, 26, -10, -7, -3, 3, 8, 12, -1, -29, -12, 14],\n [17, -10, -21, -16, -28, 11, 6, -12, -10, 0, -14, -9],\n [-24, -7, -16, 0, -15, 14, -6, 6, -6, 8, -12, -25],\n [10, -... | 474 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-11, 2, -20, 0, 18, 6, -30, -8, -13, -6, -3, -1],\n [2, 17, -9, 14, 6, -1, 5, -22, 21, -3, 20, 13],\n [-20, -9, -34, 10, -12, -12, 8, -18, 0, -18, 22, 2],\n [0, 14, 10, -1, -26, -19, -1, -22, -18, 20, 22, 3],\n [18, 6, -12, -26,... | 98 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, -8, -25, -5, 16, -30, -7, 24, -12, -17, 8, -5],\n [-8, 27, 14, 1, -8, -14, -14, 1, -2, 6, -16, 19],\n [-25, 14, 7, -10, -30, 0, 26, 16, 0, -18, -12, 23],\n [-5, 1, -10, -5, -9, 13, -14, 16, 28, 11, -26, -2],\n [16, -8, -30, -... | 92 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, 21, -20, -28, 31, -17, 31, 0, 24, 0, -25, 15],\n [0, 18, -19, 26, 6, -12, -19, 12, 34, -29, -22, -25],\n [0, 0, -31, -16, 18, 19, 22, -6, -12, -33, 12, 35],\n [0, 0, 0, -7, 14, -26, 35, -9, -8, -27, 35, -10],\n [0, 0, 0,... | 195 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-19, 29, -7, -22, -19, -23, 27, -3, -7, 1, 10, -12],\n [0, -31, 17, -6, 24, -8, -10, -18, 0, -28, -18, 22],\n [0, 0, 12, 35, 29, -3, 14, -32, 0, -8, -33, -30],\n [0, 0, 0, 25, 29, -30, -12, 1, 9, 15, 9, 27],\n [0, 0, 0, ... | 33 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 8, 4, 28, 27, 18, -30, 6, 10, -21, 4, 18],\n [8, -4, 12, -4, -32, 18, 11, -14, -4, -12, 4, 17],\n [4, 12, 12, -4, 11, -4, 2, 16, 9, 4, 16, -1],\n [28, -4, -4, 23, -18, -25, 21, 16, -24, 13, 1, -4],\n [27, -32, 11, -18, -26, 2... | 88 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-23, -18, 12, 6, -2, 12, 4, -17, -16, -16, 12, 4],\n [-18, 2, -17, 2, -12, -10, -12, -6, 16, -20, 3, 7],\n [12, -17, -32, -9, -16, 11, -10, -7, -6, 26, -4, -13],\n [6, 2, -9, 30, 4, -2, -6, -6, -16, -4, -8, -24],\n [-2, -12... | 498 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, 10, -2, 0, 12, 26, -1, -16, 9, 17, 0, 0],\n [10, 13, -14, 28, 15, 6, 14, 12, -8, -5, -4, 7],\n [-2, -14, 15, -6, -12, -24, 18, -2, -18, -19, 21, -9],\n [0, 28, -6, -8, 29, -2, 26, -8, 16, 16, 8, -6],\n [12, 15, ... | 509 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, -9, 12, -30, 7, -13, -24, 2, 5, 2, -12, -20],\n [-9, -21, -14, 15, 16, 2, -16, 22, 7, -2, 16, 10],\n [12, -14, 5, 0, -6, 2, -4, 0, -14, 16, 6, -8],\n [-30, 15, 0, -27, -26, -24, -6, 2, 14, -18, 14, 10],\n [7, 16, -6, -26, 24... | 95 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, -24, 0, 12, 0, -10, -5, 4, -3, 13, 18, 26],\n [-24, 3, 4, -8, -18, 9, 6, -22, 24, 5, 16, 0],\n [0, 4, -29, -10, 10, 0, 6, 3, -2, -12, -4, -20],\n [12, -8, -10, 7, -12, -5, -21, -6, 8, -2, 10, 14],\n [0, -18, 10, -12, -25, 2,... | 81 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-32, -14, 31, 18, -1, -5, 5, -1, 0, -2, 8, -16],\n [-14, -26, -8, -14, -25, -12, 2, 8, 0, -11, -3, 9],\n [31, -8, 32, 10, 28, 18, -24, 0, 0, 6, -30, 13],\n [18, -14, 10, -1, -5, -10, 3, 23, 2, 22, -4... | 512 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-27, -14, 8, 4, -6, -8, 27, -9, 26, 20, -12, 4],\n [-14, 3, -7, 5, -13, -14, 26, 4, 20, -30, -4, 18],\n [8, -7, 15, -10, 4, 27, 18, 2, 13, 4, -28, 0],\n [4, 5, -10, -4, 8, 12, 16, 4, -2, -2, -1, 10],\n [-6, -13, 4, 8, -21, 0... | 509 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-31, -20, -25, -1, 6, -26, -28, -10, -33, 23, -33, 2],\n [0, -19, 0, -34, -2, -9, 1, 35, -14, 32, -22, -13],\n [0, 0, 25, 19, 35, 14, -24, -21, -19, -2, -1, 3],\n [0, 0, 0, -6, -32, -21, -1, 19, 30, ... | 219 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, -4, 24, -16, 17, 16, -14, 10, -12, 2, 29, 23],\n [-4, -11, 27, -12, 0, -10, -6, 6, 17, -28, 17, -8],\n [24, 27, -20, -2, 0, 25, 0, 26, 11, 28, 12, -12],\n [-16, -12, -2, 12, 0, 4, 1, 0, -10, -2, -10, 4],\n [17, 0, 0, 0,... | 528 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-28, 21, 14, 13, -15, 0, 35, 33, 22, 27, -20, -30],\n [0, -34, -18, -1, 3, -35, 1, -15, -35, -32, 22, -35],\n [0, 0, 11, -29, 15, -33, 14, -10, -5, 26, -10, 31],\n [0, 0, 0, 2, -6, 30, -28, -22, 26, ... | 204 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[24, -4, 10, -5, -8, 8, 24, -21, 4, -1, 2, 7],\n [-4, -28, 23, -7, -20, 10, -20, -24, -12, -7, -2, -2],\n [10, 23, -35, -6, -8, -4, 14, 2, 21, 10, -7, 22],\n [-5, -7, -6, 29, -28, 20, 4, 7, 11, -20, -6, 3],\n [-8, -2... | 559 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-18, -24, 5, 12, 28, -20, -13, 3, -3, -12, 25, 19],\n [0, 4, 22, -35, -11, 17, 25, 10, 24, 15, 12, 4],\n [0, 0, -21, 34, 25, 20, -26, 10, 21, -1, -33, 30],\n [0, 0, 0, 18, 11, -33, 29, -21, -2, 14, -3, -33],\n [0, 0, 0, 0, -... | 162 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 24, -33, -27, -12, -32, -27, -35, -1, -24, -18, -26],\n [0, -12, -35, -20, -21, 26, -31, 9, 16, 35, -29, -9],\n [0, 0, 8, -23, -31, -3, -32, -10, 32, -20, -14, 0],\n [0, 0, 0, -11, 25, -18, 22, 21, 27, -24, -25, -23],\n [0, 0... | 34 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-33, 11, -35, 9, 18, 14, -29, 27, -21, 31, -6, 32],\n [0, 31, -31, -11, -25, 30, -8, 24, -26, 14, 3, 1],\n [0, 0, 2, -3, 9, 8, -35, 17, 11, -3, 31, -21],\n [0, 0, 0, -28, 18, 0, 16, -30, -8, 14, 2, -6],\n [0, 0, 0, 0, -1... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-31, -11, -11, -12, 8, -24, -8, 9, 5, -16, -22, 7],\n [-11, 18, -17, -20, 2, -1, -3, -22, -22, -8, -9, 11],\n [-11, -17, -12, 26, 10, -11, 0, 0, 3, 0, 8, -9],\n [-12, -20, 26, -1, -15, -16, -9, -32, ... | 516 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, -9, 15, 33, -13, -27, -3, -1, 14, -12, -12, -17],\n [0, 25, -11, -11, -9, -4, -25, 33, -3, -17, -20, -25],\n [0, 0, -11, -2, -24, -15, -7, 15, -13, -3, -28, 6],\n [0, 0, 0, -22, 26, 10, 31, 17, 16, -29, 18, -25],\n ... | 33 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, -2, -13, 4, -10, -29, -8, -19, 6, 9, -3, 8],\n [-2, 26, -18, 32, 0, 2, 10, 20, -10, 8, 12, 4],\n [-13, -18, -13, 2, -9, -21, -12, -14, -26, -14, -1, 22],\n [4, 32, 2, 14, 0, 14, 4, 15, -6, -18, 23, -3],\n [-10, 0, -... | 100 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, -32, -33, 25, -32, 29, -24, -23, -2, 23, -5, 35],\n [0, 18, -34, -3, 14, -29, -18, 15, -28, 19, 7, 23],\n [0, 0, -27, 32, 3, -25, -34, -13, 27, -14, 25, -10],\n [0, 0, 0, 33, 35, -3, -12, 33, 2,... | 279 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[31, -30, -8, 31, -23, 27, -23, -35, 4, 1, -5, -19],\n [0, 28, 21, -23, 1, -22, -11, 21, 35, 6, 6, 11],\n [0, 0, -33, -35, -25, -29, -24, 2, 18, 31, 17, -4],\n [0, 0, 0, 23, 18, -18, -35, -15, -8, -20, 12, -8],\n [0,... | 289 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, -12, 10, -24, 17, 9, -4, -18, -23, -32, -13, 26],\n [0, 19, 33, 4, -22, -8, 35, 31, -7, 25, 32, -27],\n [0, 0, 27, 10, -23, 9, 17, -19, 11, 26, 14, 7],\n [0, 0, 0, 5, 0, -3, -11, -17, 11, -3, 31, -22],\n [0, 0, 0... | 254 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[23, 22, 23, -20, 4, -28, 10, -11, 21, -14, -4, 14],\n [22, 28, -3, 0, 6, 2, -5, 18, -4, -12, 13, 24],\n [23, -3, -33, -26, -16, 19, 32, 1, 10, -8, 4, -4],\n [-20, 0, -26, 15, 3, 16, 14, 7, -16, 2, -4, -11],\n [4, 6, -16, 3,... | 587 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, 14, 4, 18, 8, 30, -5, 2, -4, -22, 12, -12],\n [14, -19, 17, -8, 6, 24, -10, -12, 20, -3, 13, 4],\n [4, 17, -15, 2, 13, 20, -18, -19, -12, -12, 12, 24],\n [18, -8, 2, -28, -6, 7, -14, -12, 3, -10, -2, -6],\n [8, 6, 13, -6,... | 516 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, -4, -29, 10, 25, -18, 35, 4, 14, -31, 18, 22],\n [0, 2, 13, -35, 0, -8, -1, 24, 26, 10, 25, 29],\n [0, 0, 21, 27, -32, 6, 9, 3, 29, -14, -25, 1],\n [0, 0, 0, -28, 15, -13, -27, 10, 2, -23, -29, -25],\n [0, 0, 0, 0, 1,... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, -25, -20, -2, 0, -12, -11, -26, -2, 16, -13, 14],\n [-25, -16, 16, 8, 30, 12, 4, 0, -26, 12, -23, 12],\n [-20, 16, 6, -3, -2, 12, 4, 6, 5, -2, -30, 16],\n [-2, 8, -3, -6, -10, -30, 30, 12, -4, 4, 5, -18],\n [0, 30, ... | 99 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, 10, 20, 10, -22, 30, -7, 10, 24, -3, -22, -3],\n [10, -5, -8, 24, -27, 17, 8, -20, -17, -6, -12, -14],\n [20, -8, 0, -8, -17, 4, 2, -12, 0, 2, -16, -23],\n [10, 24, -8, -2, -18, -2, 3, -30, 8, 0, -29, 2],\n [-22, -27, -17, -... | 91 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, -30, -9, -29, 13, 24, -3, 11, 8, -9, -14, 11],\n [0, -6, -34, -21, 11, -9, 35, -9, -23, 19, -19, 23],\n [0, 0, 1, -28, -3, -29, -2, 35, -29, 5, 19, -29],\n [0, 0, 0, 17, -22, -15, 21, 10, -10, -12, -31, 6],\n [0, 0, 0, ... | 204 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, -7, 14, -2, 31, 5, 12, -11, -21, -17, -22, -6],\n [-7, 31, -27, -4, -5, 10, 10, 0, -13, 14, 6, -8],\n [14, -27, -3, 0, -2, -3, -6, -5, -16, 20, 10, 4],\n [-2, -4, 0, 4, 10, 2, 8, 22, 1, 16, 20, 10],\n [31, -5, -2, 10, -... | 525 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-20, -1, 26, -27, 26, 3, 15, -26, 16, -24, 26, -33],\n [0, -28, -13, -26, -18, 3, -10, -25, -26, -33, 26, 35],\n [0, 0, 25, -28, -23, -24, -1, 18, 15, 7, 30, -21],\n [0, 0, 0, -10, 33, 12, 15, -32, -9, 6, 20, 33],\n [0, 0, ... | 189 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[13, -25, 11, -1, 35, -7, 18, -13, -12, -26, 25, -28],\n [0, -7, -10, 1, 16, 2, -30, -28, -19, 26, -2, -17],\n [0, 0, 2, -21, 4, -27, 17, 34, 30, 16, -35, -6],\n [0, 0, 0, -19, -14, -5, 4, -9, 0, -32, 33, -11],\n [0, 0, 0... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-4, -6, -21, 26, -19, -14, -6, -20, 16, -28, 28, 3],\n [0, -24, -3, 22, -24, -11, 2, 12, 19, -33, 33, -1],\n [0, 0, 1, -20, -11, -3, 26, -19, 7, -6, 5, -32],\n [0, 0, 0, -5, 33, -12, -12, 9, 1, 22, -... | 218 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-24, -1, 20, 10, 12, -2, -3, 0, -22, 2, 5, 27],\n [-1, 0, 8, -9, 16, -20, -7, -22, 12, -12, 6, 4],\n [20, 8, -34, 0, -17, 31, 30, 18, -31, -12, -3, -7],\n [10, -9, 0, 25, -24, -20, 13, 10, -15, -2, 2, 18],\n [12, 16, -17, -... | 589 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[26, 0, -16, 0, 3, 8, -11, -16, -12, -5, -4, 18],\n [0, -34, 20, 6, -17, -14, 16, 25, 2, -5, 22, 22],\n [-16, 20, -14, 10, 16, 14, 0, 0, 3, -12, 21, 4],\n [0, 6, 10, -15, 2, 2, -22, -20, 1, 13, 8, 26],\n [... | 91 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, -14, 10, -3, -7, 5, 4, 6, 17, 22, -5, 4],\n [-14, 24, -26, -27, 32, 5, -4, -2, -16, -16, -24, -14],\n [10, -26, -25, -9, -22, -28, 4, 11, -21, 6, 2, 0],\n [-3, -27, -9, -16, 0, 10, -4, 0, 20, 5, 25, -3],\n [-7, 32, -22, 0, -2... | 93 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, -16, -25, 30, -12, 1, -12, -21, -24, 28, -5, 17],\n [0, -6, -1, -15, 27, -19, -24, -18, 24, 31, -21, -20],\n [0, 0, -5, -35, -30, -27, 16, 26, 22, -17, -23, -4],\n [0, 0, 0, -5, -5, 23, 19, -17, 27, -34, 9, 7],\n [0, 0, 0, 0... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, -10, -19, 14, -19, 4, 14, -22, -6, 21, -6, -28],\n [-10, 30, 14, 10, 8, 1, -1, 18, -6, -11, -4, -34],\n [-19, 14, 26, -11, -10, -12, 8, -12, 8, -20, -4, 16],\n [14, 10, -11, 30, 4, 4, -7, 8, -12, 2, 11, -9],\n [-19, 8, -10, 4... | 95 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-26, 4, 2, 1, -6, 6, -28, 4, -25, 30, 6, -6],\n [4, 5, -13, -11, 8, -16, 13, -2, -9, 23, 0, 20],\n [2, -13, -11, -12, -26, -12, -2, 16, -5, 3, -21, 13],\n [1, -11, -12, -15, -25, 31, -12, 12, -4, -19, -8, 20],\n [-6, 8, -26... | 574 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[29, -31, 10, 10, 3, 6, 10, 18, -1, 6, 32, -13],\n [-31, 18, -18, -5, 6, 24, 20, 7, 8, 16, -32, 23],\n [10, -18, -14, 4, 6, -10, 7, 22, 10, 12, -3, -4],\n [10, -5, 4, 1, 4, 18, 5, 6, -12, 12, 2, -6],\n [3,... | 95 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 19, -13, -14, 6, -28, -5, -21, -7, -10, 13, -10],\n [19, 14, -6, -6, 24, 22, 14, -18, 1, 14, 20, 5],\n [-13, -6, 32, -3, 5, -18, 5, 24, -12, -21, -5, -2],\n [-14, -6, -3, -32, 12, -2, 2, 8, -6, 4, -7, -6],\n [6, 24, 5, 12, -... | 88 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[34, -8, 4, 15, -7, 6, 33, -31, 5, 25, 19, -8],\n [0, -27, -7, 2, 26, 18, 16, -2, 1, 13, 6, -22],\n [0, 0, -4, 32, 3, -26, -12, 22, 33, 28, -17, -28],\n [0, 0, 0, -9, -34, -20, -22, -19, 24, 34, -19, ... | 186 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, -16, 27, -34, 6, -8, -7, 33, -8, 24, -31, -21],\n [0, 16, 1, -21, 5, -32, 17, -9, -15, 24, 28, 35],\n [0, 0, -5, -19, 14, -29, -8, -26, -9, -23, 30, 24],\n [0, 0, 0, 34, 29, 31, 18, 0, 35, -21, -18, ... | 34 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, 6, 18, -9, -19, -8, 2, -21, 24, -4, 18, 9],\n [6, -18, 10, -30, 2, 17, -10, 20, 6, -2, -15, -4],\n [18, 10, 0, 6, -20, -8, 22, 2, 4, -11, 10, -32],\n [-9, -30, 6, -1, 9, 22, 4, -7, -10, -1, 22, 24],\n [-19, 2, -20, 9, -7, -1... | 92 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, 6, -11, 5, 5, -33, 7, 10, 21, 15, -31, -21],\n [0, 34, 2, 3, 16, -33, -7, -5, 30, 9, -14, -26],\n [0, 0, 31, -29, 0, 31, -6, 35, -7, -3, 23, -16],\n [0, 0, 0, -2, 8, -22, 1, -1, 23, -12, 29, -30],\n [0, 0, 0, 0, -5, 0, 1... | 251 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-34, -1, 2, 9, -21, 6, -33, -5, 16, 5, 21, 6],\n [0, 20, 17, -4, 18, 1, -28, -25, 18, 24, -26, 34],\n [0, 0, 22, 23, -12, -8, 1, -15, -3, -34, -8, -21],\n [0, 0, 0, -1, -8, -27, -12, 27, -32, 20, 5, 31],\n [0, 0, 0, 0, 24, 1... | 244 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[33, -21, -26, -11, 2, -2, -16, -2, 5, -14, -20, -5],\n [-21, -4, -12, 0, -2, 5, 2, -8, 6, -16, 4, -22],\n [-26, -12, 30, 0, -2, -17, -12, -16, 18, -14, -19, -10],\n [-11, 0, 0, 17, 2, 8, 24, -10, -4, 7, -18, 14],\n [2, -2, -... | 532 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, -28, 6, -22, 10, -2, -10, 4, -18, 1, 16, 18],\n [-28, 21, -3, -16, -23, -6, 0, -28, -7, 12, 15, -30],\n [6, -3, -35, -17, -10, -11, 18, -12, -18, -31, 8, -18],\n [-22, -16, -17, -11, -26, -4, 20, -24, 2, -2, -25, 6],\... | 94 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-32, -19, -25, -24, -4, -9, 8, 7, 13, 7, -33, -7],\n [0, 12, 3, -12, -16, -21, -18, 24, 5, 33, -25, 20],\n [0, 0, -20, -9, -19, -5, -1, -9, -4, -19, -25, -35],\n [0, 0, 0, 35, 1, -20, 3, 9, 28, 11, -13, -4],\n [0, 0, 0, 0, ... | 213 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-11, -24, 20, -4, 10, -23, -11, 2, 4, 12, -12, 28],\n [-24, -16, 15, 13, 6, 2, -23, 17, 6, -3, -8, -14],\n [20, 15, 27, 23, 31, -18, -10, -24, 3, -18, -16, -6],\n [-4, 13, 23, 8, -19, -12, -19, -2, 2... | 606 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-31, 0, 32, 21, -16, -31, -12, -6, -8, 17, 15, -29],\n [0, -1, -2, 18, -7, -26, -9, -23, 6, 1, 25, -15],\n [0, 0, 34, -19, -26, -23, -24, 30, -13, 29, 16, 25],\n [0, 0, 0, 29, -10, -15, -12, -20, -4, -20, 6, -4],\n [0, 0, 0... | 256 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, 20, -2, 13, -26, 1, -18, 6, -11, -2, 10, -4],\n [20, 8, 1, 4, 8, -2, -5, -6, -12, 8, 14, -24],\n [-2, 1, -17, 0, 20, 20, -7, -14, 3, 14, 6, 32],\n [13, 4, 0, -10, 8, 18, 6, 4, -26, 26, 10, 28],\n [-26, 8, 20, 8, ... | 519 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, 16, 30, 27, -29, 17, -30, -29, 8, -18, 18, -7],\n [0, 27, 32, -23, -4, -9, 15, -2, -8, -6, -27, -23],\n [0, 0, -14, -5, 6, 26, 28, -27, 8, 27, 4, 5],\n [0, 0, 0, 6, -3, 27, 21, 29, 16, -30, -29, -27],\n [0, 0, 0, 0, 22, 24, 1... | 35 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, -16, 10, 17, -2, 2, -6, -26, 14, -16, 12, 6],\n [-16, 2, -24, 0, -26, -3, -16, 14, 6, 8, -16, 23],\n [10, -24, 34, 28, 1, -14, -2, 0, 0, -3, 15, 12],\n [17, 0, 28, -20, 12, -16, -14, 16, 12, -10, 8, 12],\n [-2, -26, 1, 12, -2... | 90 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[21, -1, -31, 3, -12, 4, 14, 22, -35, 7, 3, -26],\n [0, 27, -20, 1, -20, -9, 27, 28, -4, -27, -25, 34],\n [0, 0, 23, 12, 24, 32, 21, 28, 18, 18, 23, 3],\n [0, 0, 0, 18, -19, -14, 0, -7, 19, 6, -4, -22],\n [0, 0, 0, 0, -4, 31, 27,... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[25, 22, -20, 18, -4, -6, -2, -9, 2, 6, -2, 5],\n [22, 15, -4, -14, -6, 4, 8, -12, 18, -25, 32, -15],\n [-20, -4, 27, -10, 2, 12, -31, 11, -11, 4, -2, 0],\n [18, -14, -10, 4, -1, -19, -7, 12, -10, 0, 26, -20],\n [-4, -6, 2, -... | 544 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, 12, -3, -14, 4, -22, 16, 4, 14, -14, -4, -4],\n [12, 7, -15, 19, -10, -16, -12, -34, 4, 6, 22, 2],\n [-3, -15, 2, -28, 2, 0, -15, 12, -12, -30, 6, 8],\n [-14, 19, -28, 27, -8, 16, -23, -3, 6, -22, 22, 12],\n [4, -10, 2, ... | 553 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, -30, 4, -2, -28, 8, 9, 16, -6, -17, 16, -18],\n [-30, 28, -11, 16, 6, -11, -4, -8, -8, 2, 6, -14],\n [4, -11, 0, -22, -22, 4, -2, 2, -10, 14, -4, -6],\n [-2, 16, -22, -24, -14, 7, 6, 10, 2, -14, 1, -23],\n [-28, 6, -22, -14, ... | 74 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-19, 22, 18, 26, 17, -8, 0, 4, 4, 9, 0, -24],\n [22, 18, -14, -4, -20, -21, -8, 2, -16, 10, -16, -6],\n [18, -14, -3, -14, 0, 0, -12, -18, 22, -10, -10, 8],\n [26, -4, -14, -11, 1, 1, 16, 21, -24, 5, -16, 28],\n [17, -20, 0, 1, -... | 107 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[29, -6, 10, 6, -2, -14, 1, 16, -7, -22, 6, 2],\n [-6, -24, -29, 4, 11, -16, 3, 12, 2, -1, 10, 9],\n [10, -29, -30, 6, 13, 4, 7, 6, -12, 22, -4, -6],\n [6, 4, 6, -31, 4, -12, -22, -4, -3, 18, -8, -28],\n [-2, 11, 13, 4, -... | 93 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 8, 4, 25, -4, -34, -16, 10, 0, 0, 21, 24],\n [8, 20, -22, -20, -4, 11, -2, -6, 4, 15, -19, 20],\n [4, -22, -14, 14, 1, -10, -8, -2, -6, 6, 15, -12],\n [25, -20, 14, 10, -4, 32, 4, 4, 8, -11, 6, 12],\n [-4, -4, 1, -4, -28,... | 476 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -28, 31, -6, 16, -11, 16, 23, -6, 31, -32, 21],\n [0, -4, 15, 27, -35, -17, -1, 27, -10, -23, -13, -1],\n [0, 0, 31, 8, 25, -15, -29, -25, 9, -4, 0, 1],\n [0, 0, 0, -23, 17, -3, -4, 12, 32, 21, 26, -34],\n [0, 0, 0, 0, 31, -4,... | 32 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, -28, 6, 3, -28, 29, -2, -8, 30, 6, 18, 24],\n [-28, -5, -4, 8, -14, 1, -6, 6, -25, 18, 12, 10],\n [6, -4, -13, -10, -16, 0, 33, -4, 10, 14, -2, 16],\n [3, 8, -10, 26, 18, -30, 8, 0, 2, 14, 21, -10],\n [-28, -14, -16, 18,... | 582 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, -26, 24, -20, 13, 20, -12, -12, -20, -4, 29, 28],\n [-26, -11, 16, 8, -6, -6, 5, 6, 5, 11, 16, 6],\n [24, 16, 25, -4, 14, -19, -22, 10, -4, 14, 30, 20],\n [-20, 8, -4, 24, -6, 6, 6, -3, 24, -6, -5, -10],\n [13, -6, 14, -6, -9... | 98 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[35, -29, -16, -30, -4, 20, -16, 19, -14, 7, 17, -33],\n [-29, 12, 1, 1, -17, -12, 4, 11, 10, 12, -28, -20],\n [-16, 1, 13, 4, -15, 14, -29, 2, -1, -13, -5, -15],\n [-30, 1, 4, -35, -4, 20, -10, -12, 1, -13, 6, 32],\n [-4, -... | 585 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-20, 7, -15, 20, 4, -30, -22, 10, -24, 22, -5, 12],\n [7, 10, -6, 4, 18, 2, 24, -22, -14, 4, 14, 8],\n [-15, -6, 14, 10, 6, 8, -12, 8, -2, 9, -6, 25],\n [20, 4, 10, 33, -2, 8, 20, 6, 12, -1, 1, 6],\n [4, ... | 100 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, -21, 2, -19, 11, -18, 19, -3, -12, -2, 17, 6],\n [-21, -6, -6, -10, 10, -24, -26, 13, -22, -8, -18, 6],\n [2, -6, -4, 10, -13, 31, 18, 0, 14, -5, 16, 18],\n [-19, -10, 10, 28, -6, 25, -27, 1, -24, 28,... | 94 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, -27, 31, -29, 22, -6, 25, -19, 17, -30, 3, -11],\n [0, 6, 23, 2, -5, -7, -27, -35, 11, -26, -20, 11],\n [0, 0, -28, -10, -29, -21, 12, -33, -20, -22, -33, 34],\n [0, 0, 0, -33, 19, 4, 30, 4, -6, -11, -29, 14],\n [0, 0,... | 264 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -10, -4, -20, -8, -12, 3, 10, -10, -16, -8, 11],\n [-10, -29, 24, -20, -19, -26, -2, -6, -20, -6, 4, 0],\n [-4, 24, -22, -12, -7, 0, -7, -2, -12, 4, -14, 33],\n [-20, -20, -12, 7, -12, -2, 20, -26, 12... | 88 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -8, 4, -3, -12, -12, 7, -10, 9, 10, 8, 20],\n [-8, 15, -22, 6, 8, 1, -18, 32, 12, -2, 25, 28],\n [4, -22, 5, 8, -24, 1, 11, -24, -12, -8, 16, -7],\n [-3, 6, 8, -3, -20, -6, 24, -12, 0, -1, 0, 1],\n [-12, 8, -24... | 511 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, -10, -4, -26, -10, -10, -22, -3, 2, 26, -1, -16],\n [-10, -9, 26, 9, 29, 6, -28, 24, -12, -13, 7, -14],\n [-4, 26, -31, -14, 32, -18, -11, -10, -18, -25, 12, 17],\n [-26, 9, -14, -3, 3, 0, -4, 31, 34, -10, 8, -1]... | 576 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, 1, -3, 3, 0, -23, 11, -30, -7, -29, 2, -12],\n [1, 32, 12, 10, 15, -21, 20, 4, -17, 10, -8, 4],\n [-3, 12, -5, -3, 0, -12, 14, 6, -8, -10, -8, 22],\n [3, 10, -3, 16, 4, -1, 14, 4, 16, -29, -9, 6],\n [0, 15, 0, ... | 496 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -8, -4, 2, 4, 8, 12, -13, 26, 14, 26, -16],\n [-8, -1, -22, -6, -7, 6, -18, -19, -6, 9, 0, -9],\n [-4, -22, 33, -8, 2, -6, 8, -2, -6, -6, -8, 0],\n [2, -6, -8, -11, 9, -4, 0, 4, 20, -31, -8, 11],... | 524 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-16, 30, 7, -8, -12, -18, 0, 1, 7, -20, 14, -2],\n [30, -29, -5, -18, 14, -29, 17, 12, -2, -1, -18, -6],\n [7, -5, -31, -22, 30, -6, 23, 22, -16, 22, 8, 20],\n [-8, -18, -22, -24, -8, -13, 2, -16, 5, 0, 5... | 105 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, 20, -2, 9, 2, -12, 0, 7, 8, -32, -8, -10],\n [20, 24, -28, -34, 0, -6, 1, 3, -6, 30, -11, 2],\n [-2, -28, 1, -4, -4, -6, -26, -1, 0, -3, -8, -20],\n [9, -34, -4, -18, 24, 6, 25, 4, 18, 2, -16, -3],\n [... | 99 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[24, 18, 27, -16, -31, 5, 27, 20, -4, -9, 32, 12],\n [0, 10, -18, 2, 29, -19, 2, 27, 6, -28, -6, 28],\n [0, 0, 23, 31, -31, -32, -28, 6, -1, -23, -31, 4],\n [0, 0, 0, -18, -12, -5, 22, -8, -27, 9, 13, -34]... | 34 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 8, -28, 20, 10, -2, -6, 10, -4, -2, -2, 16],\n [8, -9, -8, -6, 12, -4, -6, 18, 6, -4, 16, -22],\n [-28, -8, -21, -11, 7, -22, 0, -14, -7, -6, -4, 14],\n [20, -6, -11, 30, -6, -8, 5, -17, -2, 12, 12, -... | 82 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-33, -5, -21, 18, 17, 9, 2, 14, -12, -19, -18, 6],\n [0, -20, 16, 0, 3, -11, 6, -15, 32, 23, -6, 21],\n [0, 0, -20, 13, -31, 24, 35, 19, -1, 33, 6, 33],\n [0, 0, 0, 19, -22, 19, -21, -31, -32, -6, 17, -6],\n [0, 0, 0, 0, 35, 6, ... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, 12, 28, -23, 0, 11, 32, -3, 14, 24, -2, 8],\n [12, -21, 8, 19, 5, -4, -8, -6, 16, 21, -18, -12],\n [28, 8, 12, 6, 0, -8, 18, 1, -4, 23, 18, -26],\n [-23, 19, 6, -33, -18, -12, -16, 4, -4, 10, -9,... | 561 | MATH |
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