messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, 4, 11, 12, 28, -26, 10, -15, 0, 10, -12, 6],\n [4, -23, 6, -6, 2, -16, 4, -5, -4, 3, -4, 13],\n [11, 6, 28, -7, 4, 23, 18, 2, 2, 6, -8, -15],\n [12, -6, -7, -12, -1, -2, 20, -2, -10, -19, 20, -22],\n [... | 96 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, 6, 9, 6, -2, -2, -9, 6, -10, 16, -9, 15],\n [0, 25, -2, -33, -11, -11, 29, 1, -23, -21, -30, 3],\n [0, 0, -9, -14, 29, 7, 7, 29, -25, -2, 31, 22],\n [0, 0, 0, -28, 28, -6, 0, -6, 20, 33, -17, 13],\n [0, 0, 0, 0, -6, 35, ... | 204 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, -10, 35, -25, -15, 33, -5, 9, 28, -9, -2, 14],\n [0, -10, 12, 16, -31, -24, -23, -20, 15, 18, 32, -23],\n [0, 0, 6, 35, -15, 17, -35, -22, -33, -27, -25, -13],\n [0, 0, 0, -6, 32, -7, 9, -29, -20... | 203 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-31, -12, 8, -11, 0, 10, 6, -5, 5, 14, -4, -6],\n [-12, -20, 12, 14, -25, -1, -18, 6, -14, -11, 15, -23],\n [8, 12, -35, -2, 2, -10, -7, -22, -2, 24, -8, 0],\n [-11, 14, -2, -14, 22, -14, 3, -6, -1, -11, 27, -1],\n ... | 542 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-34, -2, 31, -10, 9, 12, 9, 6, 2, 16, 0, -12],\n [-2, 24, 1, 32, 0, 26, -8, -21, 7, 14, 0, 2],\n [31, 1, -22, -20, -14, 18, -4, 4, 14, 27, -12, 6],\n [-10, 32, -20, -26, -6, 7, -14, -10, -13, 22, 20, 18],\n [9, 0, -14, -6, -27, 8... | 84 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, 25, -12, 14, 2, -6, 20, 16, -30, -12, 22, 6],\n [25, -33, -7, 27, 14, 15, 10, 18, -18, -2, 22, 6],\n [-12, -7, -18, -8, 4, -6, 12, 11, 6, -6, 26, 15],\n [14, 27, -8, -35, 10, 23, -21, -2, 27, 4, 3... | 524 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-31, 0, -30, 24, 19, 7, -15, 24, 7, 18, -5, 25],\n [0, -13, 16, -33, 13, 34, -16, -6, -4, 34, -5, -20],\n [0, 0, 4, -8, -28, 29, -6, 22, -34, -12, 13, 33],\n [0, 0, 0, -9, 30, 13, 9, 2, 31, 22, 30, 18],\n [0, 0, 0, 0, 8, 29, -33... | 31 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, -6, 10, 10, 6, -1, -10, -16, 4, -13, 7, -5],\n [-6, -15, -13, -19, -32, -3, 14, -14, 5, 13, 6, 4],\n [10, -13, -23, 10, 28, 24, 26, -18, -4, 1, 4, 12],\n [10, -19, 10, 20, 4, 10, 13, -22, 20, -4, -3, -12],\n [6, -32, 28,... | 544 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[18, 18, 25, 4, 30, 4, -6, 18, -22, 24, -9, 14],\n [18, -27, 28, -10, 25, 14, -13, -7, 4, 14, -8, 0],\n [25, 28, -6, -26, 4, -4, -9, 0, -24, 16, -1, 4],\n [4, -10, -26, 30, 10, -5, 4, -20, 16, -17, -8, -5],\n [30, 25, 4, ... | 108 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-25, 18, -28, 3, -21, -32, 29, -1, -30, 30, 17, -13],\n [0, -23, 26, -28, 26, 20, 2, -21, 26, 25, 10, -2],\n [0, 0, -21, 11, 2, -3, 13, -9, 16, -24, 25, 1],\n [0, 0, 0, -30, 24, -10, 13, -18, -22, -16, 6, 29],\n [0, 0, 0... | 34 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, 15, -26, 29, -8, -18, 25, -27, 24, -10, 7, -3],\n [0, -20, -4, -25, 26, -10, -35, -24, 21, 14, -17, -31],\n [0, 0, 30, -32, -6, -13, 22, -15, 18, 23, 33, -29],\n [0, 0, 0, 31, 31, 5, -4, 0, -33, 34, 34, 20],\n [... | 292 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, -2, -2, 20, 14, 0, 12, -19, 4, -4, 5, -20],\n [-2, 8, 12, 20, 6, -20, 18, -8, 7, -12, -8, -6],\n [-2, 12, 0, 12, 6, -7, 18, -14, 0, -15, -26, 9],\n [20, 20, 12, -12, -2, 2, -2, 12, 0, 2, 6, -2],\n [14, 6, 6, -2, -7,... | 89 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, 23, 17, -7, -32, -4, 13, 2, -7, -35, -33, 6],\n [0, -13, -10, 2, -14, -24, 27, -20, 22, -21, -31, 15],\n [0, 0, 11, -14, -5, -7, 5, 25, 17, -20, 19, -19],\n [0, 0, 0, -7, -14, 18, 9, 16, 22, -33, -35, 19],\n [0, 0, ... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-4, -16, 8, 20, -3, 2, -1, 20, 12, 2, 6, -10],\n [-16, -17, -27, 29, -8, 10, -9, -14, -23, 0, -23, -4],\n [8, -27, 21, -12, -3, -14, 13, -8, -19, 12, 0, -19],\n [20, 29, -12, -18, -23, -17, 30, 5, 24... | 535 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[2, 3, -27, 5, -4, 20, 8, 0, 26, -16, 26, -10],\n [3, 25, 18, -2, 24, 6, -6, 16, 10, -12, -4, 14],\n [-27, 18, 2, -4, 2, 6, -8, 15, 22, 3, 16, -24],\n [5, -2, -4, -8, 8, 6, -5, 20, 14, -22, -22, -19],\n [-4, 24, 2, 8, 17, -9... | 493 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[11, 22, 20, 24, -18, -8, 0, 33, -13, 6, -11, -1],\n [22, -35, -14, -10, 8, -24, -16, -9, 16, 20, -6, -1],\n [20, -14, 9, 16, -2, 10, 2, -20, -28, 20, -7, -4],\n [24, -10, 16, 5, -22, -20, -16, 4, 4, -20, ... | 88 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, -12, 10, 16, 22, 20, -4, -3, 7, -20, 30, -10],\n [-12, 25, 6, -9, 8, -4, 6, -20, -4, -2, 20, 10],\n [10, 6, -16, -6, 8, -15, -29, -12, 20, -24, -17, 30],\n [16, -9, -6, 16, 1, 6, -25, 15, -26, 16, 14, -10],\n [22, 8, 8, 1... | 568 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[35, 3, -13, -20, 9, -12, -14, 12, -20, 9, 8, -18],\n [3, -8, -18, -2, 12, -4, 10, 2, 12, -4, -24, -21],\n [-13, -18, -8, -28, -14, 12, 10, -15, -8, 0, -4, 21],\n [-20, -2, -28, -3, -6, -15, -28, -14, 4, -21, 13, -30],\n ... | 97 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[2, -32, -26, 18, -6, -26, 18, 5, -29, 20, -16, -30],\n [0, -20, -13, -33, -8, -17, 22, 25, 4, -33, -3, -28],\n [0, 0, -8, -7, -16, 16, 0, -15, 1, -18, -18, 33],\n [0, 0, 0, -15, -20, 0, -2, -16, -13, -3, -29, 15],\n [0, 0, ... | 173 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-35, 18, 14, 12, 23, -8, 17, -6, 31, -18, -4, -7],\n [18, -23, 0, 12, 0, 32, 20, 16, -14, 3, -8, -23],\n [14, 0, -21, -20, -14, 22, -10, 12, -4, 26, -22, 4],\n [12, 12, -20, 19, -15, -10, -16, 23, -18, -22, 4, -2],\n [23, 0,... | 554 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-32, -24, -15, 2, 26, 0, 21, -12, -9, -12, 20, 6],\n [-24, 3, -16, 7, 4, 2, -10, 18, -20, -6, 12, -10],\n [-15, -16, 3, -6, -16, -3, 14, -6, 0, -1, 4, 14],\n [2, 7, -6, 26, 2, 6, -20, 1, -20, -23, -12, -5],\n [26, 4, -16, 2,... | 508 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[14, 8, -14, 26, -4, 2, 29, -32, -2, -7, -19, 2],\n [8, -21, 11, 23, -16, -14, 15, 12, 1, 0, 14, 10],\n [-14, 11, 26, 22, -13, -26, 12, 6, -6, -4, -4, -2],\n [26, 23, 22, -13, -28, 13, 13, 24, -15, 7, 12, 2],\n [-4, -16, -13, -28,... | 93 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, -13, 6, -20, -15, 27, 34, -22, 11, 6, -8, 33],\n [0, 16, 20, -28, -33, 30, -35, -35, 6, 14, 15, 12],\n [0, 0, 34, 1, 0, -1, 30, -5, 4, -3, 30, -9],\n [0, 0, 0, -14, 30, -20, -11, -20, 0, -22, 4, -27],\n [0, 0, 0, 0, -7, ... | 179 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-22, 0, 20, -8, -1, 5, -16, 17, -1, -28, -4, 12],\n [0, 24, 24, -20, 6, -10, -30, 9, 18, -4, -8, -24],\n [20, 24, 28, -2, -26, 6, -18, -30, 4, 6, 10, -20],\n [-8, -20, -2, -8, -2, -24, 6, -12, 20, 8,... | 515 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[28, 0, -10, 17, -22, 2, 26, -20, -1, 20, -4, -12],\n [0, -32, 8, 12, -20, -12, 22, 2, 19, -27, -12, -11],\n [-10, 8, -33, 0, 7, -33, 12, 2, -8, 11, -7, -2],\n [17, 12, 0, -4, 22, -12, -2, 34, -5, 17, 6, 9],\n [-22, -20, 7, 2... | 570 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, 11, 25, -29, 18, -16, -20, -34, -26, 7, -8, -26],\n [0, -2, -20, 19, 28, 17, 6, -6, 24, -34, -2, 6],\n [0, 0, -4, -6, 28, -17, -6, 22, 5, -9, -20, -11],\n [0, 0, 0, -4, 1, 16, -2, 14, -2, -27, 6, 3],\n [0, 0, 0,... | 165 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[4, -27, 28, 13, 32, -3, -30, -7, -17, -9, -27, -18],\n [0, 35, -4, -10, 16, -14, -8, 19, -8, -7, 29, -5],\n [0, 0, 17, -18, 1, 25, 15, -31, 19, 8, -26, -11],\n [0, 0, 0, -16, 6, 27, -33, 7, -32, -8, 5, 2]... | 35 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, 17, -22, 12, -8, -28, 24, 4, 0, -22, -4, 5],\n [17, 6, -6, -19, -13, 0, 4, 20, -12, 4, -6, 6],\n [-22, -6, 32, 2, 34, -22, 20, -1, -4, -1, 1, 0],\n [12, -19, 2, -17, 8, 27, -12, 24, 5, 12, 6, 4],\n [-8, -13, 34, 8, -3... | 92 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[28, 24, -13, -1, 16, 13, -4, 2, 10, 33, 26, -4],\n [0, -21, 33, -15, 31, -6, -31, 16, -20, -30, 4, -10],\n [0, 0, 22, 18, -16, 3, -32, 2, 10, 6, -6, 0],\n [0, 0, 0, -31, 8, -31, 3, -15, 24, -4, 31, -23],\n [0, 0, 0, 0, -14, ... | 251 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, -6, 5, 0, 24, -24, 16, -2, -21, 0, 20, 0],\n [-6, 15, 15, -25, 21, 4, 21, 0, 3, -10, 16, -8],\n [5, 15, -20, 6, -5, -26, -2, 27, 12, 3, -28, -18],\n [0, -25, 6, 31, 30, 13, -27, 15, 18, 10, -10, -14],\n [24, 21, -5, 30, 30, 1... | 90 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, 11, -8, -22, 9, -19, 10, -16, 32, -11, 1, -18],\n [11, -30, 11, -3, 6, -7, -6, -15, -6, -20, 12, -3],\n [-8, 11, -5, -10, -24, -1, -3, -34, 17, -10, -8, -23],\n [-22, -3, -10, -3, 11, -19, -16, 20, 8, -17, -2, 20],\... | 89 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, -25, 21, -9, 17, -29, 12, 1, 5, -10, 27, -33],\n [0, 18, 34, 22, -16, 15, 4, -19, 5, 29, -23, 28],\n [0, 0, 28, 8, -24, -10, 6, -8, 8, 12, 14, -25],\n [0, 0, 0, -19, 1, 13, 17, 33, -13, 18, -26,... | 224 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, -11, -20, -14, 0, 6, -7, 18, -7, 20, 16, 4],\n [-11, 1, 22, 14, 5, -4, 18, -20, -22, -10, 10, 1],\n [-20, 22, -2, 6, -5, -19, 0, 0, 2, -12, 18, 14],\n [-14, 14, 6, -20, -18, 18, 23, 13, 15, -16, -8, -20],\n [0, ... | 535 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-30, -3, 34, 12, 1, -14, 14, -17, -8, 28, 22, -11],\n [0, -4, 11, 2, -18, -9, 1, 6, 0, -2, -21, 25],\n [0, 0, -29, 25, -35, -15, -20, 13, -7, 11, -35, -22],\n [0, 0, 0, -18, 0, 17, 32, 26, 33, 30, -26, 22],\n [0, 0, 0, 0, -14, 7... | 33 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, -24, -8, 0, 0, -29, -3, 2, 20, 30, -6, -25],\n [-24, -16, 9, 6, 0, 27, 8, -9, 7, 19, 6, -18],\n [-8, 9, 25, -1, 1, -4, 22, 17, 3, 19, 10, 12],\n [0, 6, -1, -15, -28, -3, 22, 18, -28, 24, -1, 11],\n [0, 0, 1, -28... | 523 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-22, 4, -6, -32, 1, 23, -20, 6, -3, -8, 11, -9],\n [4, -25, -2, -26, -20, -6, 17, -8, 7, 0, 4, -5],\n [-6, -2, 8, -6, 12, -6, 6, -30, 10, -20, -24, 16],\n [-32, -26, -6, 25, -26, -8, -6, -4, -16, -6, -16, 12],\n [1, -20, 12... | 538 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-33, -12, 10, 17, -14, -12, -24, -6, 10, -14, -5, 8],\n [-12, 25, -18, 21, -21, 2, -10, -2, 16, 18, -20, -20],\n [10, -18, 2, -2, 3, -24, -16, -2, 21, 18, 16, 0],\n [17, 21, -2, -20, -16, -4, 9, 14, ... | 522 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-23, -1, 9, 24, 4, 0, 4, -2, 4, -5, -8, 4],\n [-1, 14, -20, 4, 30, -30, -8, 2, 14, -6, -2, 4],\n [9, -20, 34, -4, -8, -4, 0, 1, 3, 4, 14, -28],\n [24, 4, -4, 31, 20, 8, 0, 2, 25, -16, -6, 15],\n [4, 30, -8, 20, 17, -1, 19, 22, 2... | 108 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, 6, 17, -24, -1, 16, 26, -13, -35, 23, 11, -16],\n [0, -11, 32, 29, -14, -21, 33, -21, 27, 11, -2, -20],\n [0, 0, 15, -29, -28, -35, -4, 9, -28, 27, 33, 11],\n [0, 0, 0, -34, -4, 31, -14, -35, 6, -28, -19, 12],\n [0, 0, 0,... | 194 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-23, -18, 21, -28, 6, -28, 24, 22, -12, 8, 27, 15],\n [0, 4, -3, -15, -3, 19, 29, 21, 34, -22, -11, 3],\n [0, 0, 20, -19, -5, 16, -8, -29, -18, -30, 30, -16],\n [0, 0, 0, 7, -7, -27, -22, 9, -21, 10, 9, 28],\n [0, 0, 0, 0, ... | 269 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, 23, -11, -3, -20, 13, -33, -7, -22, 33, 25, -7],\n [0, -30, -12, -8, 21, 21, -14, -12, -18, -8, 21, -35],\n [0, 0, 19, -18, 33, -26, -22, 3, 0, 15, 14, -21],\n [0, 0, 0, 18, 15, -33, -2, 6, -27, -22, -31, -3],\n [0, ... | 33 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, -13, 26, -23, 11, -16, -23, 19, -9, -5, -14, -4],\n [0, -14, 26, 11, -35, 32, 7, 2, 5, -22, -33, 29],\n [0, 0, -28, 29, 26, -34, 20, -19, 25, -29, -2, 24],\n [0, 0, 0, -23, 34, 8, -5, -11, 19, -7, -1, -21],\n [0, 0, 0, ... | 253 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 13, -16, -18, -16, -24, -1, 5, -10, 0, -9, -12],\n [13, -24, -12, -22, -2, -9, 12, 0, -4, 6, -6, -10],\n [-16, -12, -14, 6, -20, 12, -19, 4, 0, 16, -8, -10],\n [-18, -22, 6, 1, 9, 4, -8, -27, -2, -5, 18, 2],\n [-... | 494 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-13, 28, 18, -28, -8, 35, -23, 6, -5, -23, -1, 14],\n [0, -14, 4, 16, -27, -4, -33, 28, -15, 0, -26, -18],\n [0, 0, -10, 2, 19, 7, 7, 15, 24, 22, 24, -31],\n [0, 0, 0, -24, -22, 11, 18, -1, 11, -19, -33, 24],\n [0, ... | 193 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, 4, 8, -20, 2, 3, 12, -12, 4, 14, -16, 16],\n [4, 26, 9, -11, -13, -2, -15, -7, -4, 14, 23, 0],\n [8, 9, -4, -12, -22, 18, -2, -15, -9, 1, 2, -9],\n [-20, -11, -12, 7, -15, -20, -6, -3, -10, 7, -28, 12],\n [2, -13, -2... | 97 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, -7, 22, 2, -3, -10, 23, 0, -4, -5, -6, -6],\n [-7, 29, -6, 2, -22, 8, -16, 26, 13, 24, -27, 26],\n [22, -6, -34, -6, 18, -1, -1, -12, -12, -24, 0, -5],\n [2, 2, -6, -20, -7, -5, 14, 8, 12, -8, -20, -6],\n [-3, -22, 18, -7, 8, ... | 97 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -7, -7, -8, -9, -25, 9, 20, 13, 17, 32, 16],\n [0, 23, 28, 20, 24, -11, 14, -29, -30, 16, -18, -24],\n [0, 0, -15, 18, -23, 30, 30, -18, -1, -4, -11, -12],\n [0, 0, 0, 6, 3, 33, 34, 5, -4, -28, -1... | 199 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, -3, -16, -30, -35, -27, 19, -4, -18, 1, 27, -17],\n [0, 20, -24, 29, 34, -28, -31, -8, 24, 35, -19, 15],\n [0, 0, -5, 23, 35, 15, 31, -18, -9, -4, 10, 0],\n [0, 0, 0, 31, -5, -31, 11, 6, -35, 20, -25, 5],\n [0, ... | 287 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, -35, -11, -6, 6, -21, 30, -21, -26, 21, -10, -2],\n [0, 22, 29, -21, 32, 31, 6, -34, -17, -17, 10, 13],\n [0, 0, 30, -11, -2, 3, -24, 12, 24, -22, -10, -35],\n [0, 0, 0, 9, -28, -34, -16, 5, -7, 27, ... | 32 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[29, -31, -31, -2, -35, 26, -26, 2, -28, -11, 14, 25],\n [0, -5, 6, -12, 31, 26, -30, 35, 15, -21, -2, 28],\n [0, 0, 2, 26, 30, -13, -3, 26, -9, 25, -7, 11],\n [0, 0, 0, -13, 22, 16, -18, 8, 16, 26, -27, 9],\n [0, 0, 0, 0, -... | 147 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-25, 14, -2, -1, 35, -13, -35, -16, -4, 18, -16, 33],\n [0, 30, -23, 10, -12, -10, -3, 5, -35, -27, 23, 7],\n [0, 0, 18, -14, -21, -11, 17, -26, -18, 14, -7, -19],\n [0, 0, 0, 17, -32, -23, 14, 17, 20, 34, 33, 19],\n [0, 0,... | 209 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, 3, 32, 21, 19, 24, 17, -13, 8, 26, 2, 22],\n [0, 0, 21, 20, 5, -31, -20, -19, -5, -24, -28, -23],\n [0, 0, -33, 33, 6, 6, -11, -12, 18, 3, 24, 10],\n [0, 0, 0, 29, -24, -28, -24, 24, -15, -27, -8, 35... | 33 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[12, 25, 27, 21, 1, -32, 32, 21, 26, -20, 3, 27],\n [0, 11, -13, 16, 22, 30, 21, 2, -31, 11, -22, 12],\n [0, 0, 1, -15, -28, -27, -24, -11, -15, 10, -10, 32],\n [0, 0, 0, 26, -7, -17, 14, 34, -16, -27, -2, 5],\n [0, 0, 0, 0, 15, ... | 29 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, -2, -21, 2, -26, 4, -20, -10, -23, -20, -6, 8],\n [-2, 20, -1, -4, -2, -18, 12, 1, 12, -28, 10, -9],\n [-21, -1, 24, -2, -24, 0, -4, 12, 11, 15, 2, -6],\n [2, -4, -2, -33, 0, 9, 16, 4, 3, -11, -16, -7],\n [-26, ... | 477 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 30, -34, -14, 7, -4, 14, -16, -8, 10, -12, 30],\n [30, -16, 6, -10, 1, 22, 9, 12, 2, -24, -6, 24],\n [-34, 6, -30, -20, 26, -16, 9, 26, 2, 15, 17, -6],\n [-14, -10, -20, 35, 2, 0, 20, -19, -4, 0, -7, -24],\n [7, 1, 26, 2, 1, ... | 93 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 5, -25, -24, 6, 17, -7, 9, -13, 24, 24, -15],\n [0, 4, -35, -11, -20, -3, -14, 31, 31, 7, 16, 27],\n [0, 0, 2, 17, -20, 34, -26, 19, -22, 33, 35, 18],\n [0, 0, 0, -20, -15, 32, -11, 30, 30, 11, -31, -14],\n [0, 0, 0, 0, 2, 3... | 35 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 0, 23, -6, -20, -27, 10, -31, -18, 8, 3, 30],\n [0, 31, 11, 17, 15, 9, 12, -14, -24, 19, 9, 27],\n [0, 0, -21, -19, 25, -10, -7, -32, -9, 6, -12, -17],\n [0, 0, 0, 28, -24, -7, -7, -6, 33, -23, -3... | 215 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[27, 12, 9, 13, -5, -7, -11, -30, 1, -19, -5, 22],\n [0, -34, -29, -14, -32, 9, -26, -12, 21, -32, 12, 22],\n [0, 0, 4, 12, 17, -30, -22, 26, 0, -15, -11, 18],\n [0, 0, 0, 25, 1, 8, -33, 13, -8, 21, -23, 5],\n [0, 0, 0, 0, 11, 34... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -35, -1, 32, 4, 14, 30, -24, 5, 24, -5, -4],\n [0, 11, -18, 24, -6, -7, 16, 15, -6, 33, 32, 14],\n [0, 0, 6, -3, 29, -17, -21, 30, 32, -33, 24, 7],\n [0, 0, 0, 13, -21, 11, -27, 30, 14, 17, 6, 10],\n [0, 0, 0, 0, 12, -3, ... | 195 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, 0, 26, -12, -27, 22, 13, 17, -25, -30, 23, 15],\n [0, 11, 9, 13, 4, -27, -28, 13, 16, -10, -24, 28],\n [0, 0, -1, 14, -20, 4, -30, 31, -19, -4, -12, -1],\n [0, 0, 0, -11, -13, 19, -29, -31, 35, 32, -30, -26],\n... | 194 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[26, -3, -27, -16, -5, 12, 20, -6, 3, -10, 6, 32],\n [-3, 28, 22, -4, 2, -14, 10, -21, -6, -9, -2, 0],\n [-27, 22, 12, -22, 22, 3, -30, 24, 0, -12, -18, 6],\n [-16, -4, -22, 27, -17, 0, 27, -6, 26, -22, -6, 15],\n [-... | 581 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, 6, 23, 13, -13, -20, 11, 6, -11, 33, 7, -30],\n [0, -10, -22, 20, -7, 21, 35, -31, 13, 25, 13, 13],\n [0, 0, -19, -35, 25, -26, -2, 25, 14, -3, 6, 20],\n [0, 0, 0, -35, 9, -11, -33, 35, 21, 32, -34, -30],\n [0, 0... | 175 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[24, -20, 10, 30, -13, -2, 28, 28, -8, -31, -1, -27],\n [0, 5, 24, -29, 26, -10, 3, -6, -34, 2, 33, 34],\n [0, 0, -7, -6, 8, -1, -10, 17, 17, -29, -23, 25],\n [0, 0, 0, -12, -6, -35, -12, -16, 18, -28, 32, -3],\n [0, 0, 0, 0... | 222 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-29, -24, 0, 2, 14, 6, 2, 1, 4, -12, 10, 17],\n [-24, 33, 9, 21, 6, 24, -13, 8, 22, -18, 24, -23],\n [0, 9, -18, -10, -29, 0, -4, -6, -1, -24, -4, 27],\n [2, 21, -10, -5, 2, 10, -6, -22, 18, 28, 1, -9],\n [14, 6, -2... | 543 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-21, 0, 10, 26, 22, 30, -10, 5, -3, -5, 15, 3],\n [0, -29, 4, 16, 20, -19, -24, 0, -18, -2, 20, -26],\n [10, 4, 20, 14, 14, -12, 2, -4, -17, 12, -23, -6],\n [26, 16, 14, -15, 12, -2, 0, 2, 16, -3, -4, 0],\n [22, 20,... | 508 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-15, -26, -26, 26, 29, 31, -24, -17, 7, -28, 16, -34],\n [0, 18, 4, -7, -21, -10, 12, 5, 32, -3, -24, 14],\n [0, 0, -6, -5, -34, 30, 17, 31, 20, -3, -5, 32],\n [0, 0, 0, 29, -33, -26, -8, -32, 21, 32, -13, -13],\n [0, 0, 0, 0, 29... | 35 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, -6, -14, -12, 4, 20, -6, -24, -10, -10, -23, 6],\n [-6, -19, -13, 4, 7, 7, -12, -30, 4, -3, -4, -24],\n [-14, -13, 4, -16, -20, -24, 8, 2, 28, 16, 6, -22],\n [-12, 4, -16, 9, 8, -7, -21, -2, -14, 11, -6, 5],\n [... | 523 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-30, -35, -18, -27, -4, -19, -17, 13, -23, -35, 2, 2],\n [0, -10, 12, 4, 19, -16, -34, 3, 25, 22, 21, 29],\n [0, 0, 13, -15, 25, 4, -25, 33, -23, 4, -3, 22],\n [0, 0, 0, 1, 3, 11, 1, 3, -30, -18, 29, 16],\n [0, 0, 0... | 170 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, 6, -12, -4, 2, 8, 0, -4, 8, 20, -6, -19],\n [6, -24, 7, -4, 0, -24, -2, -22, 28, 6, -14, 1],\n [-12, 7, -23, 26, 16, -6, 12, 4, -4, 2, -6, 12],\n [-4, -4, 26, -8, 24, 8, -10, -23, -2, 0, -6, -9],\n [2, 0, 16, 24, -9, -3,... | 484 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 4, -13, 14, 14, -1, -2, 23, -24, -33, 0, -8],\n [4, -6, 12, 4, 6, -21, 10, 25, 1, 12, 0, -4],\n [-13, 12, -28, 24, -2, 10, -3, -26, 0, 13, -26, 20],\n [14, 4, 24, 12, -18, -9, 6, 8, -8, -19, 17, 9],\n [14, 6, -2, -18,... | 95 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[31, 0, 10, -11, 2, -18, 3, 14, -29, 18, 20, 0],\n [0, -14, 19, 2, 20, -11, 4, -1, -29, 2, 17, 14],\n [10, 19, 9, 14, 0, 9, -10, 18, -12, -8, -22, -2],\n [-11, 2, 14, -20, 3, -2, 12, -6, -10, 6, -15, ... | 508 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[35, -30, -6, 1, 16, 16, 26, 12, 12, 14, 6, 12],\n [-30, 29, -18, -10, -14, 6, 1, 6, 16, 5, -2, -3],\n [-6, -18, 30, 2, 14, 4, -22, -10, -27, -3, -20, -6],\n [1, -10, 2, -30, -8, -6, -3, 15, -16, 10, 22, -16],\n [16,... | 573 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 5, 16, 16, 0, 14, -15, 11, -16, -4, -30, -2],\n [0, -2, -20, 8, -1, 23, 22, -9, 5, -6, -3, 12],\n [0, 0, -4, 0, -29, -11, -25, -33, 33, 19, 8, 8],\n [0, 0, 0, 31, 7, 22, 21, -20, 24, 19, 10, 7],\n [0, 0, 0, 0, 22, 30, -... | 191 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, -14, 9, -26, 4, -4, -1, 18, 19, 7, -10, 32],\n [-14, 27, -24, 4, -6, 1, -7, 20, -9, -10, 23, 2],\n [9, -24, -15, 5, 0, 0, -6, 34, 26, -2, 18, -25],\n [-26, 4, 5, 6, 8, 12, -2, -15, -2, 20, -26, -20],\n [4, -6, 0... | 612 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-28, 17, -32, -24, 14, -2, -28, 6, 14, 0, 6, 15],\n [17, -8, -12, 18, 0, -4, 13, -18, -4, 15, -19, -16],\n [-32, -12, 21, 22, 29, 2, 16, -8, 10, 4, -4, 2],\n [-24, 18, 22, -2, 0, -24, -15, 6, 8, 6, -25, 22],\n [14, 0, 29, 0, -13... | 111 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[16, -32, 9, 4, -9, 12, 6, -18, 9, -14, 12, -4],\n [-32, 21, -29, -5, -30, -23, 10, -4, 20, 0, 23, 14],\n [9, -29, -22, 18, -15, -4, 0, -7, -4, 8, 24, -12],\n [4, -5, 18, 31, -6, -2, -5, -24, 2, 9, -4, 12],\n [-9, -30, -15, -6, -... | 89 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 13, 4, -12, 34, 30, -2, -18, -12, -35, 9, -11],\n [0, 5, -29, 15, -10, -4, 14, 4, -3, -21, -13, -23],\n [0, 0, -33, -17, 13, 15, 3, 34, -22, -8, -5, 21],\n [0, 0, 0, -33, -27, -33, -9, 15, -22, 13, -3... | 33 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, 19, 11, 12, 22, 5, 19, -30, 16, -4, -26, -2],\n [19, -2, -18, -10, 4, 12, -1, -12, 14, -8, 9, -2],\n [11, -18, 4, 18, 10, 18, 8, 14, -7, -2, -7, -18],\n [12, -10, 18, 10, -10, 2, 2, 11, -4, 10, -7, -6],\n [22, ... | 479 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, 34, 34, -3, -9, -19, 30, -12, -12, -2, -8, -21],\n [0, 35, 25, -29, 12, 0, 4, 6, 17, -14, 14, -1],\n [0, 0, 29, 10, -9, -34, 19, 18, -22, 9, 5, -34],\n [0, 0, 0, 21, -8, 35, 6, 4, 7, -27, -1, -32... | 199 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, -2, -2, 10, -6, -18, -34, 19, 0, 30, 9, -11],\n [0, 23, 29, -4, -26, 17, -28, 28, -3, -20, -1, -27],\n [0, 0, 20, 7, 0, 35, -9, -28, -15, -23, -34, -32],\n [0, 0, 0, -19, -30, 7, 31, 30, 23, -13, 3, ... | 30 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[16, 15, -14, 5, -22, -26, -14, 12, 34, -17, 6, -1],\n [0, -11, -32, -27, 0, -15, 32, 8, 19, -30, 26, 15],\n [0, 0, -25, -18, 22, -13, -8, 23, -9, 24, 35, 19],\n [0, 0, 0, 34, 24, -15, 4, 24, 2, -25, -16, 22],\n [0, 0, 0, 0, -17, ... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -11, -6, -9, 24, 20, -25, -11, -14, -7, 20, 10],\n [0, -30, 9, -13, -3, 22, -32, -6, -8, -33, 11, -16],\n [0, 0, -16, 20, -23, -6, -20, 24, -25, -8, 30, -3],\n [0, 0, 0, 15, -35, 2, 10, 28, 29, -20, -31, -31],\n [0, 0, 0,... | 175 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[13, -22, 27, -32, 21, -25, 7, 4, 4, -23, -11, -29],\n [0, 5, 1, -7, -17, 32, 24, -31, 34, 32, 11, -9],\n [0, 0, 4, -32, 0, 17, -25, 22, -18, -13, 33, 12],\n [0, 0, 0, 22, 10, -21, 34, 32, -15, -7, 20, 6],\n [0, 0, 0, 0, ... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -2, -26, 20, -9, -18, -7, 1, 3, -14, 4, -1],\n [-2, -23, -14, 0, -21, -1, -20, 12, 0, -8, -10, 7],\n [-26, -14, -3, -4, 31, 10, 31, 2, 4, 26, 1, -14],\n [20, 0, -4, 33, -18, 15, -9, -10, -30, 12, ... | 509 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 0, 18, 8, 6, -14, 33, 17, 18, -19, 29, 3],\n [0, 5, 12, -4, -14, -10, 7, 1, 0, 10, -12, 22],\n [18, 12, 14, 20, 12, -8, -22, -17, 19, -8, 26, -22],\n [8, -4, 20, 12, 7, -12, 13, -2, 2, 2, -4, 7],\n [6,... | 92 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, 12, -20, 24, -6, 25, -9, 10, 6, 2, 26, 0],\n [12, 14, 9, 17, 28, 0, 10, -2, 10, -2, 16, -20],\n [-20, 9, 10, 2, 10, -20, -11, -24, -2, -23, 28, -8],\n [24, 17, 2, -9, 12, 13, 10, 5, -29, 14, 14, 8],\n [-6, 28, 10, 12, -3... | 538 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, 10, 20, 24, 16, 8, 12, 25, -6, 16, -7, 24],\n [10, -22, -4, -32, 8, 0, -12, -10, 19, 2, 18, -24],\n [20, -4, -24, 6, -1, 18, 0, 6, 28, 12, -13, 31],\n [24, -32, 6, -5, -18, 4, 14, 20, -13, 18, -4, 6],\n [16, 8, -1, -18, ... | 556 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, -6, 2, 0, 28, 29, -16, 20, 0, 16, -6, -8],\n [-6, 34, 12, 32, 11, 6, -28, 12, -28, 16, 22, -8],\n [2, 12, 29, -6, 4, -13, 1, 6, 11, -8, -13, -4],\n [0, 32, -6, 23, -10, 0, 2, -5, -3, 12, 10, 11],... | 542 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[17, -8, 6, -8, -27, 20, 4, -26, 24, -18, 14, 9],\n [-8, 12, -2, 0, 2, 16, -28, -11, 4, -24, -20, -14],\n [6, -2, 13, 2, -3, -20, 4, 8, 5, 18, -4, 25],\n [-8, 0, 2, -19, -20, -1, -4, 6, 8, -2, 0, -2],... | 527 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 21, -28, 15, 1, -6, -4, 24, -4, 28, 21, -8],\n [21, 29, 2, -6, 4, 16, -7, -20, 0, 0, 14, 2],\n [-28, 2, -1, 14, -27, 0, -14, 13, 3, 0, 30, -7],\n [15, -6, 14, -9, -10, 20, 18, -2, 16, 6, 0, -10],\n [1, 4, -27, -10, -29,... | 524 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, -24, 22, 31, -17, 3, 22, -26, -18, 11, 15, 3],\n [0, 0, 33, -31, -33, 4, 15, -19, -25, 10, 27, 0],\n [0, 0, -34, -9, -8, 25, 1, -1, -17, 23, 17, 31],\n [0, 0, 0, 4, 21, 6, -1, 31, 24, -12, -35, 14],\n [0, 0, 0, 0, 29, 33... | 211 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[29, 23, -25, 10, 35, -30, -29, 25, 24, -5, -13, -35],\n [0, 0, 21, -1, 14, 17, 31, 16, 6, -15, -6, 27],\n [0, 0, -10, -30, -29, -16, -30, 14, -9, 12, -3, 18],\n [0, 0, 0, 24, -21, -14, -10, -27, -3, 24, 23, -25],\n ... | 238 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, -24, -20, -20, -29, 15, -4, -13, -28, 12, 26, -13],\n [-24, -14, -2, -22, 27, 11, 20, -15, 4, 0, -18, 19],\n [-20, -2, -22, -13, 15, 31, -6, 22, 12, 10, 6, -26],\n [-20, -22, -13, 19, 8, 33, 0, 10, 8, -12, -5, 2],\n... | 98 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[2, 4, 10, -8, -18, -16, -16, 10, -5, -6, -12, 4],\n [4, -16, -13, 2, 16, -27, 23, 7, -26, 6, 6, -10],\n [10, -13, -9, 2, -4, -2, 8, -4, -13, -10, 26, 6],\n [-8, 2, 2, 9, -12, 0, 13, -1, 4, 22, 20, -10],\n [-18, 16, ... | 463 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 8, -8, -9, 27, -35, -33, -24, 26, -10, -17, 16],\n [0, 1, -5, -7, -8, 1, 17, 24, 31, 1, 1, 11],\n [0, 0, 13, -2, -15, 26, 26, -11, 13, -24, -18, 1],\n [0, 0, 0, 15, 15, 25, 33, -5, -25, -24, 35, 12],\n... | 35 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, -30, 2, 30, -29, -4, 11, -5, 1, 18, -16, 35],\n [0, -2, -14, 34, 18, 6, 10, -8, 13, -9, 3, 20],\n [0, 0, 1, -12, -12, -6, -9, -6, -32, -9, 31, -30],\n [0, 0, 0, 31, -21, 13, -1, -19, 34, -21, -24, -3],\n [0, 0, ... | 220 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -27, 25, 12, -22, -9, -10, -21, -25, -22, -32, 23],\n [0, 14, -4, 23, 31, 1, 13, -13, 0, 14, -35, 14],\n [0, 0, -21, 23, -34, 27, -26, -8, 22, 0, -1, 16],\n [0, 0, 0, -9, -15, -5, 32, 8, -12, -25, 1, -24],\n [0, 0, 0, 0, -6,... | 34 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, 6, -33, 28, 6, 18, -21, -20, 16, 27, 8, 10],\n [0, 23, 30, -33, -6, 8, 25, -23, 31, -9, -18, 13],\n [0, 0, 35, 10, 19, -8, 0, 5, 27, -29, 14, 27],\n [0, 0, 0, -5, -21, -8, 8, -21, -12, 6, 27, -15],\n [0, 0, 0, 0, -12, -15... | 244 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[15, -29, -18, -16, 27, -13, 22, 11, -14, 18, 8, 5],\n [0, -25, -9, 11, -18, -34, -24, -32, 5, -20, -3, 8],\n [0, 0, -8, 12, -8, -9, -23, 22, -34, -19, -18, 24],\n [0, 0, 0, -20, 7, 11, -29, 11, 35, 7... | 208 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[11, -10, 1, 2, 2, 16, 25, 3, -30, -34, -14, -5],\n [-10, 5, -10, -30, 20, -23, -10, -22, -26, -32, 18, 16],\n [1, -10, -29, 10, 18, -1, 29, -10, 6, -10, -2, -18],\n [2, -30, 10, -18, -10, -13, -9, -1, -12, -28, -4, 26],\n [2, 20... | 101 | MATH |
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