messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, 6, 0, -14, -2, -1, -12, -8, 7],\n [6, 24, 11, -8, -7, -13, 2, 8, -8],\n [0, 11, 17, -10, 14, 15, -11, -8, 11],\n [-14, -8, -10, -4, -22, -13, 24, -4, -6],\n [-2, -7, 14, -22, 3, 18, 14, 11, 3],\n [-1, -13, 15, -13, 18, -... | 273 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, -14, 16, -4, -8, 2, 11, 6, -12],\n [-14, 23, -10, -10, -4, -3, -14, 16, 0],\n [16, -10, -9, -2, 3, 0, -2, -14, 0],\n [-4, -10, -2, -1, -2, 23, 10, 1, 2],\n [-8, -4, 3, -2, -22, 4, -7, 20, 10],\n [... | 258 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[25, 2, 12, -6, 2, -4, 10, 11, -4],\n [2, -11, -16, -6, -4, -12, -6, 4, -10],\n [12, -16, -15, 19, -1, 4, -4, 1, -6],\n [-6, -6, 19, 1, -6, 6, 17, 12, -4],\n [2, -4, -1, -6, 14, 2, -12, 17, -8],\n [-4, -12, 4, 6, 2, -23, 4, -... | 254 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-20, 10, 17, 4, 8, 16, -3, 8, 19],\n [10, -13, 18, -16, -1, 4, 12, -10, -24],\n [17, 18, 22, -8, 6, 19, -20, -3, 6],\n [4, -16, -8, 15, 1, 0, 2, -6, 10],\n [8, -1, 6, 1, -12, 12, 4, 8, -4],\n [16, 4, 19, 0, 12, -23, -4, 5, -... | 251 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, 14, -5, 8, 4, 16, -12, 16, 8],\n [14, -16, 4, -5, 22, -14, -6, -8, 4],\n [-5, 4, 24, 20, 3, -24, 2, 1, -4],\n [8, -5, 20, -23, 2, 4, -10, -5, 12],\n [4, 22, 3, 2, 5, 12, 2, 14, 4],\n [16, -14, -24, 4, 12, -16, 3, 8, -2],\... | 253 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, 8, -3, -12, -8, -6, 14, -2, -5],\n [8, -20, -2, 0, 10, 14, -13, -12, 6],\n [-3, -2, -4, 18, -4, -14, -20, 0, -8],\n [-12, 0, 18, 20, 2, -8, 2, 0, 10],\n [-8, 10, -4, 2, -4, -8, -14, 17, -7],\n [-6, 14, -14, -8, -8, -16,... | 239 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 9, -13, 8, -2, -25, -14, -18, -7],\n [0, 2, -12, 1, -8, 16, 15, -20, 7],\n [0, 0, -1, -13, -3, 10, 7, -5, 8],\n [0, 0, 0, -3, 18, -24, 9, -12, 21],\n [0, 0, 0, 0, -10, 17, 18, -1, -25],\n [0, 0, 0, 0, 0, 25, -16, -7, 16],\n ... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -16, 18, -8, 17, -7, 2, -14, -12],\n [-16, 19, -10, 0, 12, -1, -22, 4, -16],\n [18, -10, 5, 2, 4, -4, -5, -12, 4],\n [-8, 0, 2, 22, -15, -2, 5, 8, 2],\n [17, 12, 4, -15, -20, 3, -6, -1, -5],\n [-... | 243 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-17, -20, -4, -6, 7, -4, 4, -12, 18],\n [-20, -16, 2, 0, 6, 8, 11, -8, -18],\n [-4, 2, 13, 15, -8, -16, -2, -4, 8],\n [-6, 0, 15, -14, -5, -22, -2, -12, 13],\n [7, 6, -8, -5, 1, 6, -11, 16, 16],\n [-4, 8, -16, -22, 6, -25, 0... | 263 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-19, 10, 2, -12, -11, 16, 10, 18, -6],\n [10, -16, 2, -4, -12, -7, -3, 9, -16],\n [2, 2, 19, 17, -6, -21, 2, 0, -9],\n [-12, -4, 17, 21, 4, -17, 6, -8, -4],\n [-11, -12, -6, 4, 9, -9, -6, 2, -5],\n [16, -7, -21, -17, -9, 20, 3, -... | 63 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-17, 0, 8, 2, 3, -12, -6, 22, 12],\n [0, -10, 12, -8, 4, -1, -2, 4, -12],\n [8, 12, -17, -7, 0, 4, -2, -6, -2],\n [2, -8, -7, 6, -2, -9, -13, -16, 6],\n [3, 4, 0, -2, 3, -12, 2, 18, -3],\n [-12, -1, 4, -9, -12, -14, 6, 3... | 49 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -12, 8, 0, 18, -21, 6, 16, 12],\n [-12, -16, -12, -9, 0, 10, 13, -14, 0],\n [8, -12, -9, 8, -12, 7, -8, 2, -9],\n [0, -9, 8, -2, 11, -6, 21, -2, -22],\n [18, 0, -12, 11, -24, -20, 14, 16, -4],\n ... | 300 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-18, -16, -10, 0, -18, 15, 19, 3, -6],\n [0, -7, -9, 13, -25, 3, -12, -9, -13],\n [0, 0, 1, 20, 7, 3, 11, 13, -7],\n [0, 0, 0, 21, 11, -21, -2, 8, 24],\n [0, 0, 0, 0, 2, 16, 0, -8, 10],\n [0, 0, 0, 0... | 110 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 19, 6, -1, -16, 9, -1, 1, 19],\n [0, -14, -22, 16, 0, -23, -9, -17, 3],\n [0, 0, 15, -6, 15, 8, 25, 2, 22],\n [0, 0, 0, -13, 9, 16, 6, 24, 12],\n [0, 0, 0, 0, -13, 20, 13, -13, 21],\n [0, 0, 0, 0, 0, 0, 14, -24, -22],\n [0, 0... | 21 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[19, 18, -3, 16, 11, -18, -20, 11, -4],\n [0, 6, -9, 12, -9, 11, -3, 23, 23],\n [0, 0, -4, -19, -4, -5, -20, -12, -10],\n [0, 0, 0, -5, 24, 4, 4, 16, 16],\n [0, 0, 0, 0, -23, 11, -19, -23, 10],\n [0, 0, 0,... | 23 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-23, 0, 24, 12, 15, -6, 8, -7, 3],\n [0, 21, 15, 10, 2, -2, 4, -8, 1],\n [24, 15, -10, 18, -15, -9, -10, 20, 4],\n [12, 10, 18, 15, -2, -15, -14, -10, -2],\n [15, 2, -15, -2, -15, -16, 17, 4, -13],\n [-6, -2, -9, -1... | 289 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-14, 24, 22, -24, -15, 18, 11, 12, -1],\n [0, -5, 16, 10, -17, -14, -16, 20, -21],\n [0, 0, -10, 11, 11, 3, -8, 3, -20],\n [0, 0, 0, 21, 5, -15, 0, 2, 1],\n [0, 0, 0, 0, -23, -10, 13, 18, 3],\n [0, 0... | 104 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, 3, -8, 7, -5, -6, 6, 12, -10],\n [3, 3, 9, -11, -5, 2, -10, 10, 4],\n [-8, 9, 7, -12, 2, -2, 12, -12, -5],\n [7, -11, -12, -18, 7, 16, 0, -6, -18],\n [-5, -5, 2, 7, 15, 4, 6, -12, -7],\n [-6, 2, -2, 16, 4, 1, 2... | 231 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 21, -3, 22, 10, -9, -17, -14, -4],\n [0, -14, -20, 18, -17, 11, -23, 8, -18],\n [0, 0, 15, 16, 17, -17, -12, 11, 1],\n [0, 0, 0, -24, 25, 7, -5, -25, 18],\n [0, 0, 0, 0, -19, -24, -11, -18, 21],... | 148 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, 0, -23, -24, 2, -24, -4, -19, -22],\n [0, 12, 13, -6, -20, -17, 5, 0, 10],\n [0, 0, -21, 25, -16, -8, -11, 7, -21],\n [0, 0, 0, -4, -4, -11, -9, 25, 19],\n [0, 0, 0, 0, -9, -21, -8, -9, -22],\n [0, 0, 0, 0, 0, 17, -17, -7, 2... | 22 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -12, 19, 4, 14, 21, 18, 9, -5],\n [0, 12, -24, 14, 11, 23, 8, -15, 10],\n [0, 0, -20, 8, 21, 11, 6, -14, 19],\n [0, 0, 0, 16, 7, 17, 22, 17, -17],\n [0, 0, 0, 0, 24, -6, 13, -3, 15],\n [0, 0, 0, 0, 0, -3, 11, -3, 13],\n... | 106 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, -17, 8, 0, -25, 10, 18, -21, 15],\n [0, -22, 22, -24, -10, -10, -4, 17, -25],\n [0, 0, -22, -8, -9, -19, 24, 19, -16],\n [0, 0, 0, -4, 6, 3, 9, -9, -14],\n [0, 0, 0, 0, -6, 16, -19, 16, 24],\n [0, 0, 0, 0, 0, 23, 5, -8, 20],\... | 23 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[18, 2, -20, 5, -16, 1, -6, -12, -2],\n [2, -17, -4, -2, -12, -13, 13, 0, -14],\n [-20, -4, 3, 4, -2, -9, 8, 0, 19],\n [5, -2, 4, -15, 16, 6, 20, 12, -15],\n [-16, -12, -2, 16, -1, 15, -11, -15, -10],\n [1, -13, -9, 6, 15, 11, 8, ... | 64 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, -1, -6, 4, -16, 17, -6, 6, -2],\n [-1, 13, -13, -3, -6, -6, 10, -9, 2],\n [-6, -13, -14, -14, -8, -1, 16, 16, 0],\n [4, -3, -14, -11, 21, -16, -4, -7, 5],\n [-16, -6, -8, 21, 11, -20, -2, -22, -6]... | 245 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[22, 7, 10, -9, -8, -4, -4, -10, -4],\n [7, -17, -10, 12, 8, 0, -4, -5, -6],\n [10, -10, -12, 16, -9, 2, -4, 2, 14],\n [-9, 12, 16, -22, 4, 8, -4, -12, 16],\n [-8, 8, -9, 4, 18, -2, 2, -14, 2],\n [-4,... | 232 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[18, -2, 4, -9, -12, 6, 15, -10, 13],\n [-2, 4, -1, 16, 0, 8, 2, 0, 4],\n [4, -1, 22, 14, 4, 15, 16, -4, -13],\n [-9, 16, 14, -18, 0, -10, 6, 12, -6],\n [-12, 0, 4, 0, -11, -6, -22, 0, 24],\n [6, 8, 15, -10, -6, -12,... | 244 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, -1, -6, 2, 2, 18, 14, -7, 11],\n [-1, 2, -6, 0, 4, 6, 22, 2, -10],\n [-6, -6, -20, 10, 2, -4, -7, 0, 12],\n [2, 0, 10, -13, -4, -4, -15, 12, 4],\n [2, 4, 2, -4, 18, 5, 17, -14, -2],\n [18, 6, -4, -4, 5, -15, 6, 12, -15],\n [1... | 59 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, -1, 2, -4, 16, -1, -9, 18, -14],\n [0, 11, -10, -9, 5, -11, -13, 14, 1],\n [0, 0, -18, 16, -19, -16, -22, 17, 15],\n [0, 0, 0, -23, -8, 25, 20, 17, -2],\n [0, 0, 0, 0, -16, -3, -11, -14, 17],\n [0, 0, 0, 0, 0, -14, -10, ... | 110 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[22, -8, -12, 10, 2, 2, -10, 4, 6],\n [-8, -12, 3, 6, -4, 2, -22, -2, -18],\n [-12, 3, 16, -4, -11, -16, 10, -4, 2],\n [10, 6, -4, 22, -11, 7, 4, 14, -2],\n [2, -4, -11, -11, 13, -6, -6, 13, 16],\n [2, 2, ... | 56 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, -22, 21, -1, -15, 24, 22, 16, -14],\n [0, -17, 19, 12, -20, 17, 25, 17, -16],\n [0, 0, 19, -3, 14, 11, 8, -10, 19],\n [0, 0, 0, 6, 12, 14, 20, -21, -9],\n [0, 0, 0, 0, -8, 2, -13, 24, 16],\n [0, 0, 0, 0, 0, 17, -23, 15,... | 146 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-2, 0, -6, -8, 2, -15, 2, 7, -16],\n [0, 24, 5, -18, -2, -6, -3, -6, -2],\n [-6, 5, 2, 12, 12, -8, 7, -2, 21],\n [-8, -18, 12, 11, -4, -18, -4, 3, 8],\n [2, -2, 12, -4, 9, 3, 12, 0, -13],\n [-15, -6, -8, -18, 3, -5, 6, -8, -7],\... | 44 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, -6, -7, 2, 2, 16, -14, -3, 2],\n [-6, 9, -18, 11, 0, 22, 6, 8, -22],\n [-7, -18, 13, 18, 10, -10, 6, 4, -18],\n [2, 11, 18, 11, 0, 12, 6, -12, 1],\n [2, 0, 10, 0, -7, -6, -8, 18, 22],\n [16, 22, -10, 12, -6, 9, 19, -14, ... | 272 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, -6, -7, -12, 8, 2, 20, 0, 20],\n [-6, 12, 13, -14, -6, -16, -16, 2, -2],\n [-7, 13, -1, 16, 8, 18, 4, 6, -5],\n [-12, -14, 16, -2, -1, -1, -8, 1, 7],\n [8, -6, 8, -1, 13, -6, -6, -5, 5],\n [2, -16, 18, -1, -6, 22, -16, -4, 2]... | 49 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, -2, 10, 16, 18, 2, -3, 4, 17],\n [-2, 6, 1, 14, -10, 7, -9, 2, -12],\n [10, 1, -14, -12, -18, 8, -4, 4, 14],\n [16, 14, -12, -21, 11, -14, -12, 10, 8],\n [18, -10, -18, 11, -2, -10, -8, 4, 14],\n [2,... | 53 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, 4, 13, -8, 6, 10, -8, 18, -12],\n [4, -3, 4, 0, 0, 12, 22, -16, 5],\n [13, 4, 10, 6, -19, 7, 0, 2, 0],\n [-8, 0, 6, -19, -22, -4, 18, 4, -16],\n [6, 0, -19, -22, 10, 4, -12, -4, -14],\n [10, 12, 7, -4, 4, -18, 5,... | 275 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, 19, 7, -25, 20, 15, 18, 24, 15],\n [0, 6, 4, 20, 2, 15, 6, -1, 8],\n [0, 0, -1, 16, 14, 13, 18, 23, 18],\n [0, 0, 0, 18, -15, -1, 20, 19, 8],\n [0, 0, 0, 0, 3, -14, -21, -14, 3],\n [0, 0, 0, 0, 0, 4, -17, 16, -1... | 74 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-24, 0, 18, 10, -12, 6, 16, 11, -10],\n [0, 22, 25, -1, -6, -1, -2, 6, 8],\n [18, 25, -2, 8, 2, -2, -12, 4, -6],\n [10, -1, 8, 5, 8, -12, 5, -8, -4],\n [-12, -6, 2, 8, 25, -8, 0, -4, 11],\n [6, -1, -2, -12, -8, 4, 4, 6, 12]... | 224 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 11, -6, -24, -1, -6, -10, 3, -1],\n [11, -11, -15, 16, -2, -13, -8, 12, 7],\n [-6, -15, -7, -1, 10, 14, -2, 12, -13],\n [-24, 16, -1, 9, 3, 2, -15, 3, -10],\n [-1, -2, 10, 3, -20, 2, -16, 10, -12... | 253 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[24, 0, 6, -2, 20, -6, -12, 10, 8],\n [0, -25, 16, 2, -10, -16, -2, -4, -4],\n [6, 16, -9, -7, -22, 0, -8, 24, -10],\n [-2, 2, -7, -23, 0, 6, 22, 8, -2],\n [20, -10, -22, 0, -12, 14, 0, 0, 11],\n [-6, -16, 0, 6, 14, ... | 267 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, -23, -1, 8, -4, 12, -12, 13, -24],\n [0, 17, -23, 15, -18, 0, 6, -15, 24],\n [0, 0, -22, -22, 2, -16, -15, 24, -3],\n [0, 0, 0, 13, -9, -4, 1, -10, -10],\n [0, 0, 0, 0, 16, -24, 13, 20, 22],\n [0, 0, 0, 0, 0, -1... | 136 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[23, 22, -16, -5, -16, -8, 18, 11, 0],\n [22, 4, 14, 0, 2, 4, -5, 4, 12],\n [-16, 14, -19, 18, -16, -10, -22, -8, -10],\n [-5, 0, 18, -19, 6, -20, 4, -2, 13],\n [-16, 2, -16, 6, 14, -1, -7, -7, -6],\n [-8, 4, -10, -2... | 292 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 8, 19, 8, 6, -6, -6, -3, 9],\n [8, -15, -9, -5, -14, -7, 0, 2, 9],\n [19, -9, 1, -4, 6, -14, 10, 6, -7],\n [8, -5, -4, -25, -12, -22, -23, -6, -10],\n [6, -14, 6, -12, -4, -6, -12, 10, -8],\n [-6, -7, -14, -22, -6, 16, -9, -2... | 57 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-14, -1, -12, 23, -3, 12, 22, 2, 19],\n [-1, -23, -8, 4, 6, -10, 12, 6, -13],\n [-12, -8, 16, 14, -8, 12, 18, 5, -8],\n [23, 4, 14, 2, 8, -8, -7, 2, -9],\n [-3, 6, -8, 8, 20, -4, -9, -16, -4],\n [12, -10, 12, -8, -4, 13,... | 65 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -4, 14, 12, -2, -14, -19, -14, -14],\n [-4, 6, 7, 4, -7, 10, 6, -4, -1],\n [14, 7, 14, -20, -19, -4, 10, -1, 6],\n [12, 4, -20, -16, -2, -1, 1, -13, 0],\n [-2, -7, -19, -2, -12, 14, 18, -6, 0],\n [-14, 10, -4, -1, 14... | 54 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, -11, 18, -14, -18, -10, 15, 8, 20],\n [0, 3, -10, -21, -21, 4, 24, 24, -21],\n [0, 0, 9, 23, -1, 24, -12, 18, 20],\n [0, 0, 0, 8, -19, 21, -16, -11, -9],\n [0, 0, 0, 0, 5, 24, -22, 15, 23],\n [0, 0, ... | 24 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-13, 16, -15, 0, -5, -24, 14, 25, -6],\n [0, -10, 16, -21, -12, -2, 25, -22, 22],\n [0, 0, -17, -23, -17, -8, 10, -7, -2],\n [0, 0, 0, -25, 25, 9, -16, -14, -8],\n [0, 0, 0, 0, -2, -25, 4, -11, -18],\n [0, 0, 0, 0, 0, -1... | 25 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, -11, -12, 9, -17, 9, -3, -11, -20],\n [-11, 9, -4, 10, 14, -16, 6, -4, 18],\n [-12, -4, -23, 6, -10, 8, -10, 6, 12],\n [9, 10, 6, -13, 19, -8, -12, 11, -2],\n [-17, 14, -10, 19, -1, -1, 18, 2, -2],\n [9, -16, 8, -8,... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, -19, 22, -1, 12, -8, 7, 7, 6],\n [0, -12, 12, 12, -22, 18, -8, -16, 9],\n [0, 0, -3, -1, -25, -8, -11, -1, 6],\n [0, 0, 0, -13, -1, -6, -1, 16, 19],\n [0, 0, 0, 0, 22, 2, -5, 4, -23],\n [0, 0, 0, 0, 0... | 22 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 12, -8, -8, -3, 12, -1, -7, -16],\n [12, 21, -14, -20, 15, 0, -14, 0, 2],\n [-8, -14, 4, -15, -4, 16, -6, -2, 10],\n [-8, -20, -15, 0, -14, 4, 8, -12, 21],\n [-3, 15, -4, -14, 2, -6, -6, -16, 18],\n [12, 0, 16, 4, -6, 0... | 249 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-19, 0, -12, 12, -3, -3, -12, -7, 16],\n [0, 19, 0, -6, -4, 16, -4, 2, 9],\n [-12, 0, -20, -6, -8, 11, 4, 6, 11],\n [12, -6, -6, -17, 9, 4, 6, -3, -4],\n [-3, -4, -8, 9, 24, -2, -12, -12, 11],\n [-3, 16, 11, 4, -2, 14, -2, 16, -... | 54 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[16, -9, 14, 22, -12, -16, 19, 7, 16],\n [0, 6, 23, -2, -12, -21, 25, -21, 21],\n [0, 0, 23, 7, 20, -22, 4, 15, -9],\n [0, 0, 0, 22, 10, -8, -3, 9, 23],\n [0, 0, 0, 0, 13, 8, -14, -21, 22],\n [0, 0, 0, 0, 0, -12, 6, ... | 133 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, 0, -2, -12, 0, 1, -3, 0, 12],\n [0, 24, 7, -8, 4, -9, 14, 0, 14],\n [-2, 7, -7, -6, 8, 12, -10, -1, 16],\n [-12, -8, -6, 15, -20, 2, 0, 12, 20],\n [0, 4, 8, -20, -17, 8, 4, 16, -2],\n [1, -9, 12, 2, 8, 17, -3, 4, 2],\n ... | 246 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, -9, 6, -5, -4, -18, -8, -13, -9],\n [-9, 19, 0, -3, 0, -12, -18, 14, -21],\n [6, 0, -15, 14, -20, 12, -17, 4, -8],\n [-5, -3, 14, 9, -12, -5, 6, 2, 8],\n [-4, 0, -20, -12, -18, 19, -4, 14, 2],\n [... | 293 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-22, -6, -22, -8, 10, -4, -1, -17, -10],\n [-6, 0, 9, 3, 12, 21, 6, 16, 12],\n [-22, 9, -1, 20, 11, 0, -6, -10, -14],\n [-8, 3, 20, -11, -13, 3, -6, -18, 6],\n [10, 12, 11, -13, 7, 11, 16, 4, 2],\n [-4, 21, 0, 3, 11, -1, 6, 10, ... | 55 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 9, 14, -2, 10, -2, 7, -18, 0],\n [9, -16, 6, -13, -10, -2, -24, -4, 18],\n [14, 6, 11, -9, -4, 6, -8, 6, 6],\n [-2, -13, -9, -7, 0, 2, -6, 6, 7],\n [10, -10, -4, 0, -20, -10, -13, 2, -4],\n [-2, -2, 6, 2, -10, 1... | 209 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -12, -16, 15, 7, 10, -2, -6, -6],\n [-12, -12, -6, 20, 8, 10, -2, -6, -12],\n [-16, -6, -23, 0, -18, -8, 10, 16, -15],\n [15, 20, 0, -24, 3, 7, 1, 24, 19],\n [7, 8, -18, 3, -23, 18, -6, 14, -19]... | 280 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, -6, -8, 8, 6, -5, 6, -17, 12],\n [-6, -20, 1, -3, -6, 4, -5, -4, 12],\n [-8, 1, 12, -6, -2, 11, -7, -13, -8],\n [8, -3, -6, 16, -2, 8, -14, 6, 22],\n [6, -6, -2, -2, -19, -4, 22, 4, 18],\n [-5, 4, 11, 8, -4, 20, -8, 5, -22],\n... | 60 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, -6, 2, 10, 2, -2, 10, 2, 2],\n [-6, -22, -6, 12, -2, -5, 8, 18, -12],\n [2, -6, 14, 3, 21, -6, 0, -6, -2],\n [10, 12, 3, -10, -6, 3, 13, 8, 0],\n [2, -2, 21, -6, -11, 12, -7, -4, -1],\n [-2, -5, -6, 3, 12, 13, 16, -8, 10... | 219 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -9, -14, 24, 10, -16, -8, 4, -18],\n [0, 25, -13, 5, -20, -19, -5, 12, 17],\n [0, 0, 2, 18, -5, -5, -2, 1, 1],\n [0, 0, 0, 13, 2, 11, 3, 22, -4],\n [0, 0, 0, 0, 7, -22, -23, 6, -22],\n [0, 0, 0, ... | 112 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-19, 3, 7, -2, -1, 5, 3, -21, 12],\n [0, -15, 6, -18, -6, 8, 21, 16, -18],\n [0, 0, -11, -20, -21, -23, 17, 17, -10],\n [0, 0, 0, -7, 17, 20, 8, 13, -16],\n [0, 0, 0, 0, 20, -24, 12, 7, -23],\n [0, 0, 0, 0, 0, -4, 17, -22, -9],\n... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-21, -11, -5, 3, -5, 24, 4, -10, 22],\n [-11, 2, 14, -2, 11, -14, -16, 4, 2],\n [-5, 14, 11, 0, 15, 11, 10, 5, 2],\n [3, -2, 0, 6, 4, 14, 12, -2, -18],\n [-5, 11, 15, 4, 1, -6, -14, 14, -22],\n [24, -14, 11, 14, -6, -2, 4, ... | 258 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, -25, 14, 11, 5, -9, -17, 19, -13],\n [0, -12, -15, -1, 5, -12, -19, -2, 23],\n [0, 0, 16, 21, 18, 15, -23, 21, 18],\n [0, 0, 0, -25, -11, -15, 11, -19, -14],\n [0, 0, 0, 0, 4, 6, 10, 19, 25],\n [0, 0, 0, 0, 0, 22, -10, 22, 2... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-24, -22, 1, -1, -22, 6, -9, -25, 7],\n [0, -21, -14, 12, 6, 12, -9, 19, 14],\n [0, 0, -14, 21, 5, -7, 3, -5, 0],\n [0, 0, 0, -5, 24, 8, -15, -6, 23],\n [0, 0, 0, 0, 3, -25, -8, -4, -18],\n [0, 0, 0, 0, 0, 22, 15, -15, -11],... | 122 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, -10, -8, 13, -14, 6, -19, -20, 4],\n [-10, 8, -20, -13, -10, -14, 6, -6, -14],\n [-8, -20, 8, -4, -18, 16, 0, 4, 10],\n [13, -13, -4, -7, -8, 12, 4, 2, 2],\n [-14, -10, -18, -8, -8, 2, 14, 16, -8],\n [... | 60 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[24, 10, -14, 0, 3, 4, -12, 2, -4],\n [10, 19, 11, -10, 8, 6, 0, -6, 4],\n [-14, 11, -1, 3, 6, 0, 8, 0, 10],\n [0, -10, 3, -11, 6, 12, -11, -2, 11],\n [3, 8, 6, 6, -14, 22, 0, -11, -7],\n [4, 6, 0, 12, 22, 23, -2, 0, -16],\n ... | 239 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, 6, 8, 14, 6, 8, -4, -11, 2],\n [6, 14, 14, 0, 20, 0, -8, -10, 22],\n [8, 14, 21, 6, 8, 8, -2, -18, -16],\n [14, 0, 6, -8, 2, 3, 4, 6, -4],\n [6, 20, 8, 2, -14, -4, 2, 0, 16],\n [8, 0, 8, 3, -4, 19, 2, 6, -16],\n [-4, -8, -2,... | 71 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-15, 8, 21, 11, 24, 3, 22, 10, 1],\n [0, -4, -24, 21, 10, 22, 4, -19, -14],\n [0, 0, 15, 6, -18, -3, 12, 4, -11],\n [0, 0, 0, 4, 20, 0, 25, 19, -12],\n [0, 0, 0, 0, 5, -12, 14, -16, -17],\n [0, 0, 0, 0, 0, 10, 10, -14, 24],\n [0,... | 22 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-24, 8, 8, 2, -11, 16, 20, 12, -6],\n [8, 4, 0, 22, 1, 20, -6, 6, -18],\n [8, 0, -20, 10, -10, 16, -2, -8, -6],\n [2, 22, 10, -25, 7, -6, 0, 15, 22],\n [-11, 1, -10, 7, 13, -2, -6, -5, 16],\n [16, 20, 16, -6, -2, -19, -9, 0,... | 281 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, -5, -12, -16, -19, 3, 14, -18, 13],\n [0, 20, -7, -15, -24, 23, -20, 3, 15],\n [0, 0, 15, 4, 13, 10, 1, 24, -8],\n [0, 0, 0, -21, -17, 8, 8, 10, 5],\n [0, 0, 0, 0, -5, -7, -23, 4, -21],\n [0, 0, 0, 0, 0, -2, 18, -25, 24],\n [... | 21 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -9, 7, 13, 22, 11, 22, -22, 17],\n [0, -13, 1, -2, 1, -18, 21, 24, 13],\n [0, 0, 15, -15, 5, 1, 16, 20, 22],\n [0, 0, 0, -14, 9, 8, -10, 10, -24],\n [0, 0, 0, 0, -5, 4, 16, -6, -18],\n [0, 0, 0, 0, 0, 6, 16, -18, 25],\n [0, 0,... | 16 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-14, 22, -25, -18, 7, 25, -22, -12, 3],\n [0, -17, -17, 0, 23, 21, 16, -9, 15],\n [0, 0, -23, 3, -1, -5, -14, -25, -25],\n [0, 0, 0, -19, -16, -11, 14, -15, 20],\n [0, 0, 0, 0, 15, -9, 24, 25, -13],\n [0, 0, 0, 0, 0... | 110 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-22, 10, 12, -6, 19, 4, 12, 6, 10],\n [10, 7, -15, 11, -6, 2, 17, -8, -8],\n [12, -15, -8, 6, 16, 24, 7, 8, -12],\n [-6, 11, 6, -8, -12, -4, 17, -6, -14],\n [19, -6, 16, -12, -4, -14, 9, -16, 16],\n [4, 2, 24, -4, -14, 10, ... | 285 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[25, 0, -14, 0, -3, 15, 19, 22, -2],\n [0, 18, -8, -14, 0, 18, 16, -5, -10],\n [-14, -8, 7, 2, 8, -10, 16, 2, 18],\n [0, -14, 2, 18, 8, 14, 10, -12, -14],\n [-3, 0, 8, 8, 25, -11, -24, 14, -6],\n [15, 18, -10, 14, -11, 6, 4,... | 307 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 4, 4, -10, 4, 17, 15, 6, 0],\n [4, 18, -2, 4, -2, -2, -3, 17, 14],\n [4, -2, 9, 0, 14, 10, -3, 0, -5],\n [-10, 4, 0, -15, -3, -2, 7, -6, 17],\n [4, -2, 14, -3, -3, 4, 0, 12, -11],\n [17, -2, 10, -2, 4, 11, -6, 22, 8]... | 52 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, -16, -22, -3, -12, -21, -24, 20, -2],\n [0, 1, -2, 3, -15, 22, -8, 22, -22],\n [0, 0, 18, 16, 6, 25, -22, -6, -5],\n [0, 0, 0, 21, -15, -10, 10, -20, 5],\n [0, 0, 0, 0, 11, 16, 11, 18, 7],\n [0, ... | 107 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, 15, -14, -14, 1, -10, -3, 4, 6],\n [15, -20, 6, 14, 0, -6, -8, -19, -5],\n [-14, 6, -10, -20, 4, -16, 4, -11, -14],\n [-14, 14, -20, -11, 10, 21, 12, -1, 22],\n [1, 0, 4, 10, -21, -6, 17, 3, -5],\n [-10, -6, -16, 21, -... | 268 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 2, -12, -2, 8, 12, 19, -3, -18],\n [2, 0, 20, -7, 18, -2, -1, 8, -4],\n [-12, 20, 3, -12, 18, 22, 6, -6, -20],\n [-2, -7, -12, -12, 16, 2, 3, -17, 0],\n [8, 18, 18, 16, -17, 8, -4, 12, 2],\n [12, ... | 255 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, -9, 7, -15, 13, -18, 25, -22, 10],\n [0, -2, 15, 23, -8, 7, 20, 10, -16],\n [0, 0, -14, -4, 1, 22, 11, -15, 10],\n [0, 0, 0, -19, 17, 17, -9, -4, 20],\n [0, 0, 0, 0, 1, 8, -5, -11, -21],\n [0, 0, 0, ... | 22 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[18, -6, -8, 2, 10, 2, 4, -4, -22],\n [-6, 1, -2, 10, -18, 14, 22, -12, 0],\n [-8, -2, 17, -12, -6, 12, -9, -8, 1],\n [2, 10, -12, 11, -1, 6, 4, -12, 20],\n [10, -18, -6, -1, -24, 17, -22, -2, -16],\n [2, 14, 12, 6, 17, 20, ... | 269 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-17, -6, -10, -3, 0, 11, -6, -5, -19],\n [-6, -1, 6, -2, -4, 2, 7, 9, 18],\n [-10, 6, 2, 10, 22, -6, 10, -11, -5],\n [-3, -2, 10, 22, 7, 13, -17, 10, -20],\n [0, -4, 22, 7, -18, 5, 11, 0, -8],\n [11, 2, -... | 61 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-12, 14, -12, -5, 23, 1, 20, 0, 1],\n [0, -21, 16, 12, 2, 16, 17, 6, -2],\n [0, 0, 20, -23, -19, 3, 8, -19, -9],\n [0, 0, 0, -17, 19, 21, -13, -9, -18],\n [0, 0, 0, 0, 4, -19, -9, 13, 12],\n [0, 0, 0, 0, 0, -9, 4, 5, 9],\n [0, 0... | 21 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, 2, 9, -4, -12, 23, -16, -22, -8],\n [2, 6, 20, 21, -2, -4, -6, -6, -23],\n [9, 20, 25, 18, -16, 0, 22, 17, 0],\n [-4, 21, 18, 12, 6, -15, -3, -2, -7],\n [-12, -2, -16, 6, 16, 12, -12, 8, 3],\n [23, -4, 0, -15, 12, -19, -... | 299 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-15, 20, -13, -22, -24, 8, 17, -4, -21],\n [0, -6, -5, -9, -14, 2, -8, -23, -21],\n [0, 0, 0, -7, 15, -9, 13, 16, -22],\n [0, 0, 0, 15, -13, 7, -11, -11, 5],\n [0, 0, 0, 0, 7, -19, -21, 0, -10],\n [0, 0, 0, 0, 0, 20, 10,... | 25 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-25, 10, 3, -7, 2, 11, 4, -14, -6],\n [10, -25, -12, -3, 10, -8, 4, 14, -4],\n [3, -12, -18, 14, 8, 2, 5, -8, 13],\n [-7, -3, 14, 24, 4, 2, -8, -8, 9],\n [2, 10, 8, 4, -18, 4, -14, -8, 2],\n [11, -8, 2, 2, 4, -2, 10, 10,... | 58 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, 8, -2, 5, -16, -18, -4, 18, 9],\n [8, 9, 20, -14, 4, 16, 4, -18, 10],\n [-2, 20, 1, 9, 2, 3, -4, -10, 8],\n [5, -14, 9, 25, -4, 5, -15, 4, -5],\n [-16, 4, 2, -4, 0, 2, 3, -4, 6],\n [-18, 16, 3, 5, 2,... | 59 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, -14, -12, -2, -20, 15, -10, -8, 10],\n [-14, 20, 0, 2, 7, -6, -6, -5, -6],\n [-12, 0, -2, 12, -3, 18, 2, -16, -8],\n [-2, 2, 12, -10, -6, 16, 20, -13, -18],\n [-20, 7, -3, -6, 20, -5, 10, 9, -16],\n [15, -6, 18, 16, -... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -22, -12, -10, -4, 19, 8, -10, -11],\n [-22, -15, -9, -4, -5, 19, 19, -6, -2],\n [-12, -9, 2, -10, 0, -14, 1, 17, 8],\n [-10, -4, -10, 17, 0, 14, 8, -4, 6],\n [-4, -5, 0, 0, -21, 11, -11, -12, 5... | 244 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-14, 4, -4, 10, -14, -10, -14, -1, 8],\n [4, -11, 17, 3, 3, 0, -11, -2, -19],\n [-4, 17, 7, -14, -4, -6, 2, 0, 8],\n [10, 3, -14, -4, 4, 4, -4, -2, 14],\n [-14, 3, -4, 4, 5, -10, 7, 12, -2],\n [-10, ... | 211 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[6, -10, -10, -18, -4, 20, 7, 2, -2],\n [-10, 6, -14, -10, 13, -4, 4, -5, -6],\n [-10, -14, -4, 21, 10, -5, -2, -12, 8],\n [-18, -10, 21, -13, 2, 6, -6, -2, -6],\n [-4, 13, 10, 2, 11, -1, 4, 11, 4],\n... | 229 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -24, -24, -3, 21, -15, 3, 16, 9],\n [0, -17, 6, 4, -11, -12, 25, -9, -4],\n [0, 0, -10, -18, 13, 5, -14, 7, -14],\n [0, 0, 0, -8, -7, -23, 9, -21, 9],\n [0, 0, 0, 0, -5, -10, 2, -1, 7],\n [0, 0, 0, 0, 0, -24, -17, 5, -1],\n [0... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, -6, -15, -10, 1, -6, -18, -16, 5],\n [-6, 11, 4, 8, -8, 1, -16, -3, -22],\n [-15, 4, 7, 16, -8, -2, -16, 6, -6],\n [-10, 8, 16, 20, -3, 10, 2, 2, 8],\n [1, -8, -8, -3, -7, 4, 16, -13, -16],\n [-6,... | 248 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[12, 12, 6, -8, 16, 0, 0, 0, -9],\n [12, 24, 8, 4, 14, -12, -12, -8, 14],\n [6, 8, 9, 0, -16, 2, 8, -22, 1],\n [-8, 4, 0, -14, -2, 4, 16, -25, -22],\n [16, 14, -16, -2, 10, -2, -8, -8, 7],\n [0, -12, 2, 4,... | 64 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-11, -3, 23, -23, -8, 17, 0, -20, 18],\n [0, 20, 12, 16, 22, 24, 1, -6, -20],\n [0, 0, -14, 22, -23, 22, -22, 19, -22],\n [0, 0, 0, 18, -24, -10, -19, -7, 17],\n [0, 0, 0, 0, 1, 7, 23, -14, 19],\n [0, 0, 0, 0, 0, 0, 5, -4, -... | 114 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-22, -14, -9, 15, 18, 0, 5, -11, 8],\n [0, -17, -12, 10, -22, 12, 11, -2, -9],\n [0, 0, -9, 25, 1, 7, -5, -9, -4],\n [0, 0, 0, 1, 20, -14, -11, 12, -6],\n [0, 0, 0, 0, -13, 6, -4, -1, 1],\n [0, 0, 0, 0, 0... | 22 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, 14, -14, -3, -4, -8, 4, 5, -2],\n [14, -24, 10, 10, -14, -14, 12, -14, -6],\n [-14, 10, -24, 4, 3, -7, -4, 4, 6],\n [-3, 10, 4, 15, 8, 4, -15, -17, 0],\n [-4, -14, 3, 8, -9, -12, -4, -12, -6],\n [-8, -14, -7, 4, -12, -5,... | 225 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 20, 7, 11, -19, -3, -20, -11, -11],\n [0, 8, -12, 3, -10, 3, -3, -16, 21],\n [0, 0, 16, 8, -22, -6, 2, 2, -20],\n [0, 0, 0, -25, -7, -25, -13, -18, -8],\n [0, 0, 0, 0, 15, 12, -6, -24, 0],\n [0, 0, 0, 0, 0, 1, -15, 11, -18],\... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 5, -17, -16, 11, -16, 7, -1, -22],\n [0, -3, 13, -21, -18, -9, -25, 24, -14],\n [0, 0, 22, -8, -16, -11, 16, 7, -7],\n [0, 0, 0, -10, -18, 9, -5, -7, 20],\n [0, 0, 0, 0, -4, -5, 1, -8, 16],\n [0,... | 100 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-24, -2, -20, 2, -10, 0, -6, -24, -2],\n [-2, -23, 3, 16, -18, -10, 22, 4, -4],\n [-20, 3, 2, 14, -8, -13, -2, -20, 0],\n [2, 16, 14, 1, -2, 0, 17, 19, -2],\n [-10, -18, -8, -2, -1, 18, -8, 4, -10],\n [0, -10, -13, 0, 18, 2... | 287 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 12, -6, 1, 6, 2, -12, 7, 2],\n [12, -14, -10, -6, 4, -22, -8, -8, -10],\n [-6, -10, -18, 18, 8, -1, -1, -6, 2],\n [1, -6, 18, -1, 4, 16, -2, 24, -6],\n [6, 4, 8, 4, 0, 2, -4, -14, 2],\n [2, -22, -1, 16, 2, 16, -16, ... | 50 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -5, -3, -15, -24, -6, -2, -1, 11],\n [0, -2, -11, -14, 20, 5, 17, 5, 4],\n [0, 0, -18, 18, 4, 9, -5, 21, 14],\n [0, 0, 0, -14, 24, -8, 21, 2, -23],\n [0, 0, 0, 0, 23, 5, 5, -25, -15],\n [0, 0, 0, 0, 0, 18, -7, 19, -13],\n... | 99 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.