messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-20, -18, 7, 6, 20, 10, 16, 22, 10],\n [0, -24, -13, 17, -16, 12, -19, 21, 25],\n [0, 0, -12, 4, 8, -3, 22, -9, -11],\n [0, 0, 0, -23, -17, -23, 22, 9, 14],\n [0, 0, 0, 0, -13, -11, 13, -14, 9],\n [0, 0, 0, 0, 0, 24, -14... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -25, 25, -2, -23, 6, 8, 23, -1],\n [0, -23, -19, 16, 9, 3, 14, -1, 2],\n [0, 0, 1, -16, -14, -8, 12, -18, 24],\n [0, 0, 0, 22, 17, -1, 4, -24, -9],\n [0, 0, 0, 0, 0, -13, 16, 2, 10],\n [0, 0, 0, 0, 0, -21, 12, 5, -24],\n [0,... | 23 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[15, -12, 2, -2, 18, 18, -3, -5, 0],\n [-12, -18, 0, -8, -14, -2, 6, 4, 14],\n [2, 0, 19, 6, 6, -4, 16, 4, -10],\n [-2, -8, 6, -14, 12, 14, 5, 0, -6],\n [18, -14, 6, 12, 22, 0, -6, 6, -19],\n [18, -2, -4, 14, 0, -19, 3, -8, -3],\... | 59 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-22, 7, 2, 8, -2, 19, -22, 2, 2],\n [7, 2, 12, -7, -18, 8, -6, 18, 0],\n [2, 12, 6, -6, -8, -8, -3, -10, -16],\n [8, -7, -6, 22, 4, 14, 6, 10, 4],\n [-2, -18, -8, 4, 23, 5, -4, 7, -4],\n [19, 8, -8, 14, 5, 3, -2, 9, 12],\n [-22,... | 50 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-16, -6, 12, -6, 15, 5, 10, -8, 2],\n [-6, 20, 3, 6, -2, 0, -5, -2, 19],\n [12, 3, -20, -4, 1, -14, 4, 2, -5],\n [-6, 6, -4, -4, -10, 0, -2, 4, -6],\n [15, -2, 1, -10, -19, 2, 5, 2, 0],\n [5, 0, -14, 0, 2, 11, -3, 6, 8],\n [10, -... | 42 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 2, -2, -6, 6, 0, 9, 0, -10],\n [2, -9, -2, 8, 4, 2, -2, 2, -8],\n [-2, -2, 8, 24, 10, -13, -14, -18, -16],\n [-6, 8, 24, -4, -18, 6, -4, 14, -6],\n [6, 4, 10, -18, -18, 6, 16, -14, 7],\n [0, 2, -13, 6, 6, -8, 8, 2, 10],\n [9,... | 51 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[20, -4, 0, 15, -3, -3, 16, 14, -17],\n [-4, -19, 14, 5, 4, -14, -14, 6, 12],\n [0, 14, -3, -1, -7, -8, 11, 4, 6],\n [15, 5, -1, -19, -2, 5, 10, -4, 4],\n [-3, 4, -7, -2, -7, 12, -1, -9, -4],\n [-3, -14, -8, 5, 12, -2, 0, -6, 12],... | 49 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-14, -17, -25, -19, 13, 16, 8, 6, 2],\n [0, 10, 14, -12, 19, 5, -10, 13, 16],\n [0, 0, 12, -14, 16, -17, -4, 12, -17],\n [0, 0, 0, 4, 0, -18, 6, -4, -18],\n [0, 0, 0, 0, -13, -3, -13, -7, -2],\n [0, 0, 0, 0, 0, 12, 12, 8, 8],\n ... | 23 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, -3, 2, 3, 6, -16, 0, -13, 20],\n [-3, 25, -2, -1, 21, 6, -14, -5, -10],\n [2, -2, -10, 2, -18, 2, -13, -2, -4],\n [3, -1, 2, -4, 18, 2, -8, 6, 0],\n [6, 21, -18, 18, 6, 2, -8, -4, 1],\n [-16, 6, 2, 2, 2, 21, 12, -18, 8]... | 249 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-20, -1, 9, 0, -14, 4, -4, 20, 14],\n [-1, -19, 23, 3, -4, -15, -12, 4, -8],\n [9, 23, 25, -3, 0, 0, 2, -5, 8],\n [0, 3, -3, 1, -6, -12, -3, -10, 6],\n [-14, -4, 0, -6, 21, -14, -13, -7, -5],\n [4, -15, 0, -12, -14, -20, 9, ... | 259 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, -4, -15, 0, -18, -17, -13, -23, -23],\n [0, -23, -15, 20, 2, 16, 5, -17, 1],\n [0, 0, 18, 15, -4, -8, 4, 23, -15],\n [0, 0, 0, 25, -12, 2, 9, -20, 10],\n [0, 0, 0, 0, 11, -18, 11, 14, 7],\n [0, 0, 0, 0, 0, 10, -22, -... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, -15, -8, -18, 2, -14, -4, 23, 2],\n [-15, -9, 4, 6, 4, 14, -6, -6, 18],\n [-8, 4, -18, -4, 0, 18, 13, 20, -8],\n [-18, 6, -4, -21, 2, 4, 8, -4, 0],\n [2, 4, 0, 2, -17, 16, -4, -4, 12],\n [-14, 14, 18, 4, 16, -5, 13, 16,... | 308 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, -2, 4, 4, -12, -7, 6, 13, -4],\n [-2, -7, 8, 0, -13, -6, 18, -2, -9],\n [4, 8, 1, -8, -22, 2, -8, -6, 5],\n [4, 0, -8, -25, 7, -4, -10, 8, 9],\n [-12, -13, -22, 7, 14, -6, 12, 14, 2],\n [-7, -6, 2, -4, -6, -1, -9, -4, -6... | 237 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-3, -6, -16, -12, 0, -6, -4, 0, 2],\n [-6, 3, 16, -10, 1, 2, 8, 14, -2],\n [-16, 16, 9, -5, 5, 7, 16, 8, 9],\n [-12, -10, -5, 7, 6, 2, 0, -6, -4],\n [0, 1, 5, 6, 14, -16, -11, 2, -1],\n [-6, 2, 7, 2, -16, 2, 3, 6, 2],\n [-4,... | 180 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-21, 8, 21, 1, 10, -22, 16, 24, -19],\n [0, 10, -2, -11, 24, 23, -20, 0, 0],\n [0, 0, -23, -17, 11, 12, 4, 1, -13],\n [0, 0, 0, 9, -2, 11, -14, -6, -8],\n [0, 0, 0, 0, 22, 6, 4, -24, -18],\n [0, 0, 0, 0, 0, 16, 19, 2, -13],\... | 139 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 17, 0, -6, -13, -8, 9, -1, -17],\n [17, 8, -16, 20, 0, 4, -8, 2, -8],\n [0, -16, -23, -6, -15, 6, 18, -22, -8],\n [-6, 20, -6, 10, -6, 2, -6, 2, 7],\n [-13, 0, -15, -6, 1, -6, -7, -1, -16],\n [-8, 4, ... | 54 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, -20, -2, 1, 0, 5, 8, -6, 3],\n [-20, 5, -10, 2, 0, 7, -3, -3, -6],\n [-2, -10, -10, -6, -17, -10, -12, -14, 18],\n [1, 2, -6, -25, -18, 4, -2, -2, -1],\n [0, 0, -17, -18, -5, -4, 12, 6, 16],\n [5... | 232 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, -12, 7, 14, 19, -5, 5, 0, -1],\n [-12, 2, 10, -3, 20, -2, -2, -6, -22],\n [7, 10, -20, -3, 14, -7, -10, -1, 5],\n [14, -3, -3, -8, -22, 0, 6, -10, -14],\n [19, 20, 14, -22, 20, -14, 4, 8, -20],\n [-5, -2, -7, 0, -14... | 61 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, 4, -18, -17, -17, 1, 2, 6, 12],\n [4, 18, 6, 15, 14, -8, -12, -16, 8],\n [-18, 6, 16, 4, -3, -10, 2, 18, -14],\n [-17, 15, 4, -13, -12, -12, 0, -4, 10],\n [-17, 14, -3, -12, 23, -16, -12, 8, -4],\n [1, -8, -10, -12, -16... | 269 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-19, -12, -24, -14, 17, 23, -24, 2, 2],\n [0, 4, 21, 14, 14, -4, -8, -12, -1],\n [0, 0, 22, 22, 23, -17, -15, 1, -13],\n [0, 0, 0, -23, -24, 20, 16, -2, -6],\n [0, 0, 0, 0, -6, -4, -24, -11, 22],\n [0, 0,... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, 12, -12, 11, -20, 10, 18, -19, 18],\n [12, 2, 4, -12, -4, 1, 8, -16, 4],\n [-12, 4, 25, 2, 15, 12, 20, 14, -17],\n [11, -12, 2, -15, -2, 10, 2, -7, 6],\n [-20, -4, 15, -2, -2, 4, -15, -20, 14],\n... | 292 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, -7, -7, -23, -23, 0, -20, -13, 20],\n [0, 1, 15, -2, -16, -10, -3, 21, -14],\n [0, 0, -8, -24, 20, -9, -3, -3, -25],\n [0, 0, 0, -12, 23, 18, 12, 15, 18],\n [0, 0, 0, 0, 22, -16, -7, 4, -22],\n [0, 0, 0, 0, 0, 13, 23, 7,... | 102 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[13, -2, 19, 6, -2, 16, -7, 7, -2],\n [-2, -19, 4, 17, -4, 5, -7, 10, -13],\n [19, 4, 0, 4, -1, -24, -8, 6, 10],\n [6, 17, 4, -2, 6, -14, -4, 20, -18],\n [-2, -4, -1, 6, -16, 13, -14, -5, 16],\n [16, 5, -24, -14, 13, 11, 18, -7, ... | 58 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 8, 6, 0, 4, -4, -16, -24, 19],\n [8, 2, 2, 2, 17, -8, 1, 4, 2],\n [6, 2, -13, -6, 4, 1, 10, -18, 18],\n [0, 2, -6, -7, 14, 12, 1, 9, 0],\n [4, 17, 4, 14, -25, -12, -6, -4, 3],\n [-4, -8, 1, 12, -12, -10, 3, 5, 8],\n [-16, 1, ... | 48 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 14, 7, 1, 0, 10, -8, 20, 8],\n [14, 22, 8, 0, 2, 18, 8, -2, -6],\n [7, 8, 19, -10, -4, 11, 2, 4, -9],\n [1, 0, -10, 17, 15, -8, 8, 6, -14],\n [0, 2, -4, 15, 13, 6, 19, 14, -3],\n [10, 18, 11, -8, ... | 233 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, -17, -12, -14, 5, -14, -6, 1, 6],\n [-17, -24, -9, -2, 7, 10, 13, -11, -14],\n [-12, -9, 21, 7, -1, 20, 8, -2, 10],\n [-14, -2, 7, 4, 10, 14, 2, 8, 2],\n [5, 7, -1, 10, -16, -2, -10, 7, -14],\n [-14, 10, 20, 14, -2, 17, 0, 4,... | 57 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, -6, 6, -14, -16, 15, 2, 4, 0],\n [-6, 15, -14, -14, 12, 18, -10, 10, 0],\n [6, -14, 16, 6, -20, -2, 4, -14, 0],\n [-14, -14, 6, 4, -6, -6, 19, -1, 13],\n [-16, 12, -20, -6, -15, -4, 6, 5, 1],\n [15, 18, -2, -6, -4, 22, 7... | 238 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[12, 0, 18, 14, 2, -9, 4, -14, 4],\n [0, 15, 19, -6, -13, -9, -4, 4, -1],\n [18, 19, -18, -6, -15, 0, -4, 2, 8],\n [14, -6, -6, -17, 0, -12, -16, 5, -4],\n [2, -13, -15, 0, -21, 13, -2, 12, 2],\n [-9, -9, 0, -12, 13, 5, 21, -5, -... | 49 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, -6, -2, 12, -8, -4, -12, -9, -10],\n [-6, 8, 13, -3, 4, 14, 4, 4, -17],\n [-2, 13, 12, 0, 6, -7, -2, -6, -6],\n [12, -3, 0, -3, 1, -8, 5, -1, 5],\n [-8, 4, 6, 1, -19, -17, -18, -6, -6],\n [-4, 14, -7, -8, -17, -19, -1... | 56 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 9, 1, 22, 8, -21, -1, 2, -8],\n [0, 2, -24, 8, -4, -4, 4, 8, 22],\n [0, 0, -7, -7, 15, 15, 3, 17, 7],\n [0, 0, 0, -25, 24, 15, 7, 10, -4],\n [0, 0, 0, 0, 25, -3, 2, 20, 0],\n [0, 0, 0, 0, 0, -15, -19, 12, 1],\n [0, 0, 0,... | 89 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, -6, -1, 8, -8, 10, -1, 1, 7],\n [-6, -18, 6, -10, 3, -2, 20, 16, 1],\n [-1, 6, -17, -3, 0, 20, -1, -10, 0],\n [8, -10, -3, -7, 2, -11, 5, -12, 8],\n [-8, 3, 0, 2, -1, 0, -10, -2, 3],\n [10, -2, 20, -11, 0, 23, 1... | 212 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -25, 0, -9, 10, -9, 11, 1, -1],\n [0, 15, -1, 12, 6, -14, 23, -5, 16],\n [0, 0, -13, -5, -25, -13, 5, -3, -23],\n [0, 0, 0, -8, -1, 8, -8, 23, -25],\n [0, 0, 0, 0, -5, 11, 4, -6, 15],\n [0, 0, 0,... | 115 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, 10, 16, -7, -3, 4, 7, -4, -14],\n [10, -13, 10, 1, 6, -12, -12, -3, 0],\n [16, 10, -10, 3, 8, -13, -12, -24, 14],\n [-7, 1, 3, -7, 16, 18, 2, -8, -8],\n [-3, 6, 8, 16, 16, 7, 7, -2, 19],\n [4, -12... | 250 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -16, -12, -1, 4, -4, -5, 12, 1],\n [-16, 19, 2, -8, 15, 4, -6, 1, -16],\n [-12, 2, -25, -7, 6, 4, 18, 5, -14],\n [-1, -8, -7, -13, 8, -4, -2, 11, 14],\n [4, 15, 6, 8, -15, -18, 5, 6, 7],\n [-4, 4, 4, -4, -18, 8, 16, 18, 16],... | 49 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, -10, 3, -1, 12, 10, 10, -10, 8],\n [-10, -4, -6, 6, 18, 8, -12, 6, 3],\n [3, -6, -4, 1, 12, -16, -11, 14, 11],\n [-1, 6, 1, -5, 14, 16, -10, -10, 2],\n [12, 18, 12, 14, 24, 10, -5, -1, -6],\n [10, 8, -16, 16, 10, 11, ... | 55 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, 0, -4, 16, -16, 10, -14, -8, 11],\n [0, -12, -20, -16, -10, 6, -4, 10, -2],\n [-4, -20, -5, 16, -2, 17, 4, -3, -4],\n [16, -16, 16, 20, -14, 5, 0, 22, -12],\n [-16, -10, -2, -14, -15, 18, 10, -6, -12],\n [10, 6, 17, 5, 1... | 265 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -12, 3, -5, -4, 8, 8, -6, -16],\n [-12, -7, -8, 11, 0, 18, 8, 6, 14],\n [3, -8, 22, 23, 4, -18, -1, -8, -12],\n [-5, 11, 23, -8, -2, -2, -20, -2, 18],\n [-4, 0, 4, -2, 5, -6, -15, 5, 16],\n [8, 18, -18, -2, -6, 7, -2, -2,... | 269 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, -14, 19, 18, -4, 0, 8, -22, 18],\n [-14, -12, -6, -1, 0, 14, -18, 16, 0],\n [19, -6, 19, -20, 2, -8, 8, -18, 0],\n [18, -1, -20, 12, 0, 12, -12, 6, -10],\n [-4, 0, 2, 0, -6, 2, -8, -2, 14],\n [0,... | 261 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, 15, -20, -8, 12, -20, -4, 16, 17],\n [0, -14, -1, -6, -8, -2, -11, 5, 16],\n [0, 0, 8, -24, 10, -3, -2, 20, 6],\n [0, 0, 0, 7, 16, -12, -9, -10, 6],\n [0, 0, 0, 0, 7, -23, -15, 17, -21],\n [0, 0, 0, 0, 0, -10, -10, -4, -22],\... | 22 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, 9, -23, -21, 8, 7, 10, -16, 19],\n [0, -15, -23, 2, 16, 2, -17, 0, 3],\n [0, 0, 19, 6, -8, -8, -4, -9, 23],\n [0, 0, 0, -17, 18, 18, -2, 25, -19],\n [0, 0, 0, 0, -7, 9, 17, 18, -1],\n [0, 0, 0, 0, 0, 13, 20, -24,... | 131 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, -4, -2, 5, 0, -3, -1, 8, -8],\n [-4, 5, -2, 0, -22, -4, 6, -2, -22],\n [-2, -2, 20, 8, 6, -6, -11, 15, -14],\n [5, 0, 8, -11, -16, 8, -8, -10, 1],\n [0, -22, 6, -16, -6, -5, -9, 7, -7],\n [-3, -4, -6, 8, -5, -1... | 250 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, 18, 4, 10, 16, -22, -3, -15, -22],\n [0, 23, -2, -6, 19, -9, -13, -9, 25],\n [0, 0, -8, 17, -17, 22, -23, 1, -8],\n [0, 0, 0, 3, 21, 24, -21, 21, -20],\n [0, 0, 0, 0, -11, 1, 18, 25, 13],\n [0, 0, 0, 0... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -15, -18, -12, -13, -4, 8, -25, 11],\n [0, -15, -16, 4, -14, 16, 15, 8, -1],\n [0, 0, -5, 4, 12, -14, 13, -1, -7],\n [0, 0, 0, 25, 10, -23, -3, -22, 2],\n [0, 0, 0, 0, 11, -19, -13, -25, -2],\n [0, 0, 0, 0, 0, 2... | 114 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-15, 7, 6, 4, 10, 14, 15, -12, -14],\n [7, -15, 11, 2, -11, -2, 4, -6, -17],\n [6, 11, 17, -15, -24, -2, 0, 10, 0],\n [4, 2, -15, 13, -16, -8, -2, -11, 2],\n [10, -11, -24, -16, -2, -12, -18, -20, 4],\n [14, -2, -2, -8, -12... | 262 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-24, -7, -10, 12, 16, -11, -18, -15, -12],\n [-7, 25, 2, -4, 2, 4, -6, -13, -16],\n [-10, 2, 1, 3, 13, 8, 8, 6, 0],\n [12, -4, 3, 4, 12, -8, 0, 9, -10],\n [16, 2, 13, 12, -4, 0, -3, -10, 0],\n [-11, 4, 8, -8, 0, -25, -12, -5, 0],... | 58 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-21, -7, 16, 17, 1, -1, 22, 18, -17],\n [-7, -21, -2, 0, 9, 24, 3, 12, 8],\n [16, -2, 25, 6, 10, -20, 1, 7, 14],\n [17, 0, 6, -16, 22, -4, -4, -17, 4],\n [1, 9, 10, 22, 20, -19, 11, -10, 0],\n [-1, 24, -20, -4, -19,... | 305 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, 1, 21, 6, 4, 2, -4, -7, 11],\n [1, 14, -2, -2, 19, 7, 10, -12, -14],\n [21, -2, 3, -14, 9, 3, 8, 2, -8],\n [6, -2, -14, 24, 9, 3, 12, -14, 4],\n [4, 19, 9, 9, -10, 17, 6, 6, -12],\n [2, 7, 3, 3, 17, -17, 23, -6, 8],\n [-4, 10,... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-17, -4, -4, 2, 8, 5, 4, 10, 8],\n [-4, 4, 1, -10, 6, 0, 12, -4, 10],\n [-4, 1, -12, 4, -20, 2, 8, -12, 8],\n [2, -10, 4, 9, 15, 1, 6, -17, 8],\n [8, 6, -20, 15, 18, 2, 4, -3, -11],\n [5, 0, 2, 1, 2, 9, 2... | 53 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 8, 13, -14, 12, 6, 0, 24, 19],\n [8, -16, 20, 14, 4, -6, 10, -4, 2],\n [13, 20, -1, -18, 12, 0, 6, 2, 0],\n [-14, 14, -18, -7, -10, -10, 4, 7, 2],\n [12, 4, 12, -10, -19, 13, -6, -4, 6],\n [6, -... | 271 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, 6, 4, 2, 8, -18, -6, 0, 18],\n [6, 12, 2, -22, 10, 14, -7, 6, 6],\n [4, 2, -25, 15, -11, 12, 0, 4, 8],\n [2, -22, 15, 24, 18, 3, -16, 4, -16],\n [8, 10, -11, 18, 6, -8, -12, -2, 2],\n [-18, 14, 12, 3, -8, 21, -9, 2, -2],\n [-6... | 52 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, -2, 10, -2, 24, -7, 8, -16, 16],\n [-2, 6, -8, -6, -2, -8, 0, 0, 6],\n [10, -8, 5, 14, 3, -14, -10, 1, 0],\n [-2, -6, 14, 23, 4, -8, -11, -6, 1],\n [24, -2, 3, 4, 24, -14, 2, 22, -8],\n [-7, -8, -14, -8, -14, -3, 12, -18, 2],\... | 57 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-17, 0, 8, 2, -16, -21, 3, -16, -10],\n [0, 13, 10, 2, 19, -5, 13, 12, -13],\n [8, 10, 21, 6, 8, 16, 8, -13, 9],\n [2, 2, 6, -24, -21, 0, 14, 0, 20],\n [-16, 19, 8, -21, 6, -2, -17, -21, -15],\n [-21, -5, 16, 0, -2, -7, ... | 73 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-17, 3, 14, 16, 14, -1, 10, 13, 9],\n [3, 24, -11, 6, 2, -8, -5, -7, -8],\n [14, -11, -17, 4, -2, 8, -4, -7, -13],\n [16, 6, 4, -14, -14, 18, 14, 4, -11],\n [14, 2, -2, -14, 18, 1, -4, -16, 8],\n [-1... | 265 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, -25, 14, -8, 18, 5, -6, 18, -1],\n [0, -16, 3, -7, 2, 1, -7, 17, 5],\n [0, 0, 24, -20, -17, 15, 1, -9, 10],\n [0, 0, 0, -10, -9, -23, 13, 11, -23],\n [0, 0, 0, 0, -23, -10, -6, 19, -20],\n [0, 0, 0, 0, 0, 9, -8... | 114 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, 16, 14, 20, -8, -17, 6, -7, -8],\n [16, -22, 2, 0, -7, 15, -15, -10, 2],\n [14, 2, 15, 18, 2, -14, -10, -10, 2],\n [20, 0, 18, 13, 12, -6, 2, -6, 14],\n [-8, -7, 2, 12, -23, 8, -17, 0, -10],\n [-17, 15, -14, -6, 8, -24,... | 270 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 21, -20, 3, 0, 6, 0, -22, 3],\n [21, 5, -18, 14, 7, -12, 4, 8, -6],\n [-20, -18, -11, -4, 2, 6, -2, 22, 0],\n [3, 14, -4, 5, -14, -2, -2, -2, 12],\n [0, 7, 2, -14, 22, 12, 4, -18, -1],\n [6, -12, 6, -2, 12, 14, 1... | 238 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, 9, -3, -16, -22, 19, -1, -24, 12],\n [0, -2, -18, -20, -6, -12, 14, -20, -14],\n [0, 0, 19, 4, -10, -18, -12, 22, -6],\n [0, 0, 0, -22, 10, -23, -16, 12, 1],\n [0, 0, 0, 0, 14, 9, 18, -13, -3],\n [0, 0, 0, 0, 0, 24, 5, -23, 1... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, -23, 19, -5, 13, -13, 22, -12, 4],\n [0, -13, -12, 15, 14, -1, 11, 1, -3],\n [0, 0, -16, -1, 9, -2, 23, 16, -15],\n [0, 0, 0, -5, 2, 2, 1, 7, -22],\n [0, 0, 0, 0, -9, -7, 23, -9, 23],\n [0, 0, 0, 0, ... | 24 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -1, -4, 5, -4, 18, -16, 0, -14],\n [-1, -14, 14, 6, -8, 0, 6, -11, -6],\n [-4, 14, 11, 4, 0, -6, -6, -8, 12],\n [5, 6, 4, -23, 2, -8, 1, -10, 12],\n [-4, -8, 0, 2, 19, -8, -10, -8, -14],\n [18, 0, -6, -8, -8, -8, -8, 6, 8],\n ... | 45 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -12, 13, 6, -24, -16, -11, -6, 4],\n [-12, 8, -22, -3, -2, -8, -14, -4, 15],\n [13, -22, 14, -16, -8, -6, 12, -12, -7],\n [6, -3, -16, -13, 6, -3, 23, 11, -4],\n [-24, -2, -8, 6, -10, -14, -2, 5, 10],\n [-16, -8, -6, -3, -14... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, -8, 0, -12, -7, -8, 19, -19, -24],\n [0, 2, 2, 16, -9, 4, -5, 11, -17],\n [0, 0, -11, -12, 1, -8, -16, 22, -4],\n [0, 0, 0, 22, -21, 25, -1, -25, -2],\n [0, 0, 0, 0, -11, -15, 18, -9, 23],\n [0,... | 137 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 10, -14, 16, -17, -8, 0, -4, -8],\n [10, 16, 12, 18, -13, 8, -10, 4, -18],\n [-14, 12, -3, -8, 14, -2, -1, -8, 4],\n [16, 18, -8, -1, 1, 1, -11, 6, -10],\n [-17, -13, 14, 1, -3, -3, -15, -8, -6],\... | 224 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-25, -9, 3, 3, -11, -14, -4, 14, -9],\n [-9, 20, 0, -16, 0, 9, -16, -8, 16],\n [3, 0, -22, 2, -10, -16, 2, -9, -8],\n [3, -16, 2, -17, 10, -11, 4, 22, 0],\n [-11, 0, -10, 10, -10, 2, -3, -4, -2],\n [-14, 9, -16, -11, 2, -24, -10,... | 55 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, -6, -4, -2, -3, 4, 10, -6, 6],\n [-6, -3, 4, -14, 12, -2, -17, 2, -6],\n [-4, 4, 7, -10, 4, -8, -4, -22, -12],\n [-2, -14, -10, 8, -4, 12, -11, -14, -22],\n [-3, 12, 4, -4, -5, -11, 6, -5, -9],\n [4, -2, -8, 12, -11, 16, 14,... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 22, 10, -6, -16, 0, 7, 1, -4],\n [22, 9, 4, -4, -21, -9, 0, 22, -10],\n [10, 4, -15, 9, 21, 0, -4, -10, 20],\n [-6, -4, 9, 23, -7, 8, -4, 8, 0],\n [-16, -21, 21, -7, -13, -4, -16, -2, 8],\n [0, -9, 0,... | 69 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, 9, 18, -11, -21, 13, -18, -16, 14],\n [9, -11, -16, -12, 12, -16, 12, 12, 11],\n [18, -16, 21, 3, 12, -1, -4, -16, 3],\n [-11, -12, 3, 2, 2, 4, -1, -1, -20],\n [-21, 12, 12, 2, 21, -16, 6, 20, -8],\n [13, -16, -... | 271 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-16, -18, 16, -16, -2, -14, 2, -4, 4],\n [-18, -7, 2, 18, -2, 21, -21, -14, 10],\n [16, 2, -16, 14, -18, -4, -21, -16, -1],\n [-16, 18, 14, -15, -2, 4, 9, 8, 16],\n [-2, -2, -18, -2, -2, 4, 0, 12, 4],\n [-14, 21, -4, 4, 4, ... | 268 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-17, -24, -8, -13, 19, -18, -16, 1, -9],\n [0, -5, -25, -10, 17, 7, -20, -14, 6],\n [0, 0, -8, -24, 6, 23, 23, -6, -5],\n [0, 0, 0, 21, -15, -8, -9, 8, 19],\n [0, 0, 0, 0, 13, 24, 6, -9, -13],\n [0, 0, 0,... | 25 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, 24, -24, 20, 10, 14, -18, 7, 7],\n [0, -8, -7, -16, 24, 16, 15, 4, -4],\n [0, 0, -25, 4, -21, 25, 21, 0, 20],\n [0, 0, 0, -14, -9, -8, -24, 23, -2],\n [0, 0, 0, 0, 7, -2, -15, -18, 1],\n [0, 0, 0, 0, 0, 11, 4, -21, -9],\n [0,... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 12, -14, -3, -10, -14, -10, 1, -3],\n [12, -17, 4, 18, 0, -18, 5, -2, -2],\n [-14, 4, -14, 13, 0, 4, -6, 6, -4],\n [-3, 18, 13, -1, -18, 12, -10, -4, -6],\n [-10, 0, 0, -18, -6, -20, -2, -14, 6],\n [-14, -18, 4, 12, -20,... | 240 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, -3, 18, 5, -8, -2, -4, 11, 21],\n [0, -25, 24, -20, 12, 3, 17, -15, -10],\n [0, 0, 22, 9, -2, 12, -23, 25, 14],\n [0, 0, 0, -4, 20, 20, -22, -2, -7],\n [0, 0, 0, 0, 14, 1, -11, 11, -25],\n [0, 0, 0, 0, 0, -15, -15, 4, -6],\n ... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[23, 1, 4, -11, 13, 16, -8, -15, -4],\n [0, -22, -23, -2, -12, -23, 5, 9, 5],\n [0, 0, -6, -8, 18, 10, 25, -7, -9],\n [0, 0, 0, 11, 19, 10, 19, 22, 18],\n [0, 0, 0, 0, 3, -1, -18, 22, -7],\n [0, 0, 0, 0, 0, -7, -13, 23, -18]... | 120 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 7, 8, -12, -6, 7, 8, 2, -8],\n [7, 18, -12, -4, -21, -23, -8, 4, 18],\n [8, -12, -21, 11, 7, 9, 14, 10, 0],\n [-12, -4, 11, 11, -10, 4, -4, 22, 10],\n [-6, -21, 7, -10, -23, 14, 10, 13, -4],\n [7, -23, 9, 4, 14, -8, 9, 11, 6... | 54 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-15, -24, -8, 2, 4, 8, -14, 16, -11],\n [-24, -22, 12, 12, -12, -10, -7, 8, -6],\n [-8, 12, 3, -3, -2, 1, 20, 10, 16],\n [2, 12, -3, -19, -6, 8, 0, 2, 2],\n [4, -12, -2, -6, -20, -14, 11, 2, -18],\n [8, -10, 1, 8, -... | 247 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, 20, -4, 16, -11, 4, -1, 4, 0],\n [20, 19, -8, -14, 10, 9, 4, 4, -2],\n [-4, -8, -17, 2, -8, -13, 0, -1, 12],\n [16, -14, 2, 13, -8, -13, -20, 22, 2],\n [-11, 10, -8, -8, -24, 23, 4, 4, 10],\n [4, 9, -13, -13, 23, 12, -1... | 262 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 0, -9, -21, -8, -4, 0, -10, 0],\n [0, 8, 4, -10, 8, -22, -3, -12, 0],\n [-9, 4, 18, 6, -1, -4, 19, 2, 2],\n [-21, -10, 6, -9, 0, -24, -16, -8, 0],\n [-8, 8, -1, 0, 13, -8, 12, 6, -13],\n [-4, -2... | 251 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -12, 2, -5, 3, 10, 0, -12, 10],\n [-12, -10, 10, -3, -13, 6, -12, 14, 2],\n [2, 10, -1, 19, 0, 4, -20, -18, -2],\n [-5, -3, 19, 9, 15, -4, 0, 17, 8],\n [3, -13, 0, 15, 8, 2, 2, 1, -18],\n [10, 6,... | 261 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-21, -5, -20, -25, 5, 19, 15, 2, -23],\n [0, -3, 14, -22, -20, -14, -14, -19, 2],\n [0, 0, -19, -23, -13, 15, -15, 13, -3],\n [0, 0, 0, 5, 7, 21, 10, 10, -12],\n [0, 0, 0, 0, 21, -19, -10, 6, -2],\n [0, 0, 0, 0, 0, -7, -19,... | 112 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 20, 24, -23, -18, 24, -10, 21, -24],\n [0, -10, 3, 5, 16, -15, 25, 6, -2],\n [0, 0, -16, 23, 6, -3, 7, 4, 4],\n [0, 0, 0, 24, -25, 4, 8, 8, 12],\n [0, 0, 0, 0, 3, 5, -5, 0, 5],\n [0, 0, 0, 0, 0, -1, 11, 1, -23],\n [0, 0, 0, 0,... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-11, 4, 10, -3, 13, -10, -2, 2, -3],\n [4, -11, -2, 4, -3, 2, 13, 0, -4],\n [10, -2, -25, 20, -14, -14, 3, 11, 16],\n [-3, 4, 20, -19, -18, -16, -6, 8, 17],\n [13, -3, -14, -18, 16, 0, -12, -6, 8],\n [-10, 2, -14, -16, 0, -7, 2,... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, 0, 7, -4, -4, 8, -10, -4, -11],\n [0, 20, 18, 1, 2, 12, 14, 10, -5],\n [7, 18, -1, 12, 16, 16, -2, 11, -10],\n [-4, 1, 12, 2, -8, 14, 8, 4, -15],\n [-4, 2, 16, -8, -12, 0, -2, 2, -10],\n [8, 12,... | 202 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-23, 10, -5, 12, -4, 18, -4, 6, 9],\n [10, 22, -10, -18, 11, -4, 6, 2, 3],\n [-5, -10, -4, -14, -10, -4, -2, -2, 12],\n [12, -18, -14, 19, 22, 14, 16, 17, 8],\n [-4, 11, -10, 22, 4, 14, -11, 2, 15],\... | 249 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, 10, -19, 17, 8, 24, 6, 16, 7],\n [0, -1, 2, 16, 24, 13, 4, 5, -2],\n [0, 0, -12, -17, 10, -20, -2, 0, 8],\n [0, 0, 0, 10, 11, 24, 19, -6, 0],\n [0, 0, 0, 0, -13, 10, 18, 12, -13],\n [0, 0, 0, 0, 0, 12, 10, -25, 0],\... | 22 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[14, 3, 20, 6, 6, 0, -22, 1, -14],\n [3, -1, -6, 2, 8, 4, 12, 6, 0],\n [20, -6, -2, 6, 15, -2, 2, 5, 1],\n [6, 2, 6, -22, -4, 6, -14, -2, -20],\n [6, 8, 15, -4, -19, 12, 6, 18, -16],\n [0, 4, -2, 6, 12, 19, -16, 15, -24],\n [-22, ... | 62 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -19, 25, 3, 4, -5, 13, 22, 18],\n [0, 15, 13, -6, -4, 3, 20, -22, -23],\n [0, 0, -23, -1, 6, 7, -8, 19, 10],\n [0, 0, 0, 13, 21, 19, -24, -15, 5],\n [0, 0, 0, 0, -24, 18, 10, -12, 22],\n [0, 0, 0, 0, 0, 18, 5, -1... | 146 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 9, 8, 14, 4, 22, -3, -17, 6],\n [0, 23, 6, 19, -10, 6, -1, 4, 11],\n [0, 0, 19, -18, 14, 23, 21, 10, -1],\n [0, 0, 0, -25, -22, 0, -15, -11, 6],\n [0, 0, 0, 0, 25, 6, -6, -12, 9],\n [0, 0, 0, 0, 0, 15, -22, -14, 25],\n [0, 0... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 0, 7, 17, 12, -16, 0, 6, -16],\n [0, 17, -18, -13, 5, 2, -12, -6, 2],\n [7, -18, -15, -4, -15, -6, 8, -10, -6],\n [17, -13, -4, 5, 20, 8, 5, 2, -2],\n [12, 5, -15, 20, -5, 11, 17, 12, 3],\n [-16, 2, -... | 53 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, -10, 6, 12, -15, -8, 8, 10, 14],\n [-10, -4, 11, -12, 16, -6, 17, -10, -21],\n [6, 11, 11, 8, -2, -4, -5, -1, -4],\n [12, -12, 8, 24, 14, 12, -18, -16, -12],\n [-15, 16, -2, 14, -5, -5, 14, 12, 11],\n [-8, -6, -4, 12, -5... | 256 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, -4, -4, 8, -8, 0, -6, 0, 10],\n [-4, -5, 20, 2, -17, -6, -2, -7, -6],\n [-4, 20, -16, 10, 0, -18, 14, 17, 19],\n [8, 2, 10, 18, -10, 2, 18, 13, 3],\n [-8, -17, 0, -10, 1, 16, 0, -14, 2],\n [0, -6, -18, 2, 16, 6, 10, -1, -18],... | 56 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 3, 2, -10, -18, 21, 23, -13, -12],\n [0, -17, 18, 6, -4, 25, -1, 15, 0],\n [0, 0, -8, 10, -6, 7, -6, -23, 17],\n [0, 0, 0, 9, 6, 16, -17, 20, 22],\n [0, 0, 0, 0, 4, 10, 0, 24, -24],\n [0, 0, 0, 0, 0, 23, 20, 3, -5],\n [... | 101 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-5, -11, 9, 2, -18, 14, -6, 1, -6],\n [-11, -21, -18, -13, -5, 4, -14, 4, 0],\n [9, -18, -19, -12, -20, 2, -12, 1, 0],\n [2, -13, -12, -20, -13, -4, 8, -10, 16],\n [-18, -5, -20, -13, 15, 8, -18, -13... | 244 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-15, -10, 3, 19, -8, -15, -15, -17, -1],\n [0, 8, -23, -12, 22, 14, -1, -10, 10],\n [0, 0, 19, -24, -1, 24, -4, -21, 23],\n [0, 0, 0, 1, 4, -22, -20, 0, -16],\n [0, 0, 0, 0, 14, -25, 8, 22, -18],\n [0, 0, 0, 0, 0, -10, 1... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 18, -10, 16, 8, 17, -9, 7, 2],\n [18, 24, -6, 10, -4, 12, 8, -6, 2],\n [-10, -6, -17, 20, 0, -5, 5, -9, -2],\n [16, 10, 20, 16, 16, 16, 0, -2, 4],\n [8, -4, 0, 16, 21, -12, 10, -9, -20],\n [17, 1... | 251 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -7, 19, -22, -20, 10, -15, -5, 16],\n [0, -1, 4, -8, -1, 25, -5, -3, 4],\n [0, 0, -8, 7, 19, 9, 20, -4, 24],\n [0, 0, 0, -25, -11, 22, 2, 16, -6],\n [0, 0, 0, 0, 25, 17, 24, -11, -24],\n [0, 0, 0, 0, 0, 7, 18, 19, -1],\n [0,... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, 23, 22, 9, -22, 0, -18, -2, 17],\n [0, -14, -21, -10, 6, 3, 7, 15, -12],\n [0, 0, 1, 9, -4, -19, 10, 21, -14],\n [0, 0, 0, 9, 13, -7, 2, 3, -18],\n [0, 0, 0, 0, 3, 9, 7, 6, -5],\n [0, 0, 0, 0, 0, -13, -11, 16, 10],\n [0,... | 73 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 1, -20, -2, -4, -17, -16, -23, -20],\n [0, 19, -12, 10, 16, -7, 22, 13, -3],\n [0, 0, -11, 4, 7, 12, -7, -21, -17],\n [0, 0, 0, -10, 11, -16, -5, -5, 21],\n [0, 0, 0, 0, 14, -18, 17, 15, 12],\n [0, 0, 0, 0, 0, -19, -... | 23 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-24, 17, -2, 7, -7, 0, 20, 15, -23],\n [0, -12, -6, 9, -3, -1, -22, -24, -24],\n [0, 0, -3, -5, 19, -1, 1, -15, -12],\n [0, 0, 0, 25, 5, 8, 10, 14, 18],\n [0, 0, 0, 0, 18, 13, 2, 0, 22],\n [0, 0, 0, 0, 0, 5, 14, 15, 24],\n ... | 122 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, -10, 6, 6, 4, 6, 4, -4, 5],\n [-10, 4, 7, -12, -3, 2, -11, 6, -8],\n [6, 7, 9, -3, -10, 19, 2, 9, 0],\n [6, -12, -3, -12, 2, 12, -6, -1, 2],\n [4, -3, -10, 2, -19, 6, -17, 12, -2],\n [6, 2, 19, 12, 6,... | 50 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -8, -4, 1, 22, 14, 9, 0, 14],\n [-8, 22, -16, -10, -22, -7, -6, 8, -10],\n [-4, -16, 5, -6, -16, 4, 6, -6, 4],\n [1, -10, -6, 18, -20, -9, 16, 2, -16],\n [22, -22, -16, -20, 7, 10, 14, 6, 14],\n [14, -7, 4, -9, 10, 24, 9, -10... | 68 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, 25, -14, -14, 3, -19, -10, -14, -5],\n [0, 16, -9, 2, 5, 21, -18, 20, 24],\n [0, 0, 20, 22, 5, -7, -19, 23, -21],\n [0, 0, 0, 25, 24, -6, 23, -3, 10],\n [0, 0, 0, 0, -19, 14, -21, 6, -17],\n [0, 0, 0, 0, 0, -4, -18, -... | 25 | MATH |
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