messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-25, 12, -7, 2, 6, 2, 2, 5, 18],\n [12, 13, -10, 10, 8, -14, 19, 12, -4],\n [-7, -10, -12, 8, -13, -12, 22, -6, 4],\n [2, 10, 8, -15, -18, 6, -20, -19, 12],\n [6, 8, -13, -18, 18, -18, 5, -21, -6],\n [2, -14, -12, 6, -18, -15, -... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-20, -2, 19, 22, 0, -7, 8, 0, 3],\n [-2, -19, 6, 5, -10, 6, 0, 1, 0],\n [19, 6, -20, 7, 9, -12, -12, 2, -12],\n [22, 5, 7, -13, 6, 21, -15, -7, -20],\n [0, -10, 9, 6, 22, 15, 10, -6, 20],\n [-7, 6, -12, 2... | 65 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 18, -20, 11, 4, -4, -1, -2, 10],\n [18, 13, 10, -13, 6, 0, -10, 14, 0],\n [-20, 10, -10, 14, 12, -21, 12, 0, 0],\n [11, -13, 14, 1, 0, -10, 8, 4, -5],\n [4, 6, 12, 0, -11, 0, 8, 21, 14],\n [-4, 0, -21, -10, 0, 0, 14, 0, 2... | 247 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[25, 17, -8, 22, -18, 8, 12, 14, 12],\n [17, 6, 1, 4, -11, -6, 14, -2, 8],\n [-8, 1, -22, 17, 8, -1, 15, 8, -5],\n [22, 4, 17, 20, -18, 1, 12, 2, 5],\n [-18, -11, 8, -18, -14, -2, -12, 18, 16],\n [8, ... | 271 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-21, -20, 18, -19, 13, 6, -11, 25, -13],\n [0, -16, 14, -15, 14, 14, 21, -24, 1],\n [0, 0, 18, -18, 23, 12, -10, -2, -3],\n [0, 0, 0, 2, -1, -24, 19, 7, 24],\n [0, 0, 0, 0, -13, -21, -21, -4, 8],\n [0, 0, 0, 0, 0, -16, -11, 19, ... | 24 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-19, 9, 8, -8, 12, -2, -16, -10, -14],\n [9, -2, 9, -13, -1, 8, -2, 0, -8],\n [8, 9, 19, -2, -7, -18, -18, 14, 8],\n [-8, -13, -2, 22, 22, 0, 0, 4, 9],\n [12, -1, -7, 22, -23, -12, -8, -8, -9],\n [-2, 8, -18, 0, -12, 8, 18, ... | 263 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 25, 21, 12, -13, -8, -8, -25, 6],\n [0, -5, 1, -15, 22, -25, -7, 6, -18],\n [0, 0, 9, -24, -14, 3, -16, -4, 8],\n [0, 0, 0, -20, 6, -23, -16, -21, -2],\n [0, 0, 0, 0, -9, 23, -2, -8, 0],\n [0, 0,... | 109 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[18, -24, -7, -13, 16, 7, -25, 2, 14],\n [0, -23, 19, -1, 18, -10, 17, -22, -18],\n [0, 0, 18, 12, -3, -20, 17, 18, -10],\n [0, 0, 0, 10, -14, 11, -17, -8, -17],\n [0, 0, 0, 0, -21, -7, 9, 7, 20],\n [0, 0, 0, 0, 0, -10, 15, 5, 13... | 23 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -8, 6, -12, -13, -6, -10, -10, -8],\n [-8, -17, 12, 1, -10, 3, 15, 10, -6],\n [6, 12, 5, -8, -5, -9, 4, -4, 10],\n [-12, 1, -8, -20, 6, 0, -22, 0, -1],\n [-13, -10, -5, 6, -8, 20, 0, -2, 12],\n [-6, 3, -9, 0, 20,... | 235 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-17, -10, -6, -10, 12, -1, 7, -4, -14],\n [-10, 13, -12, -4, -2, 24, 2, -10, -13],\n [-6, -12, 15, 3, 1, 0, 12, 12, -2],\n [-10, -4, 3, 21, -2, -1, -12, 3, -10],\n [12, -2, 1, -2, 21, 12, 10, -7, 16],\n [-1, 24, 0, -1, 1... | 51 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, -8, 12, 15, 25, 18, -15, 6, 2],\n [0, 8, 24, 4, 12, -4, -21, -17, -13],\n [0, 0, 1, 6, 5, 7, 16, 0, -8],\n [0, 0, 0, -12, 21, -14, -22, -10, -15],\n [0, 0, 0, 0, -13, -18, 18, -5, 0],\n [0, 0, 0, 0, 0, -24, -10, -13, -25],\... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, 0, -2, -10, 0, -8, 6, -14, 4],\n [0, -2, -4, 0, -14, 0, -18, -20, 0],\n [-2, -4, -24, 4, -2, 3, -1, -16, 10],\n [-10, 0, 4, -10, -20, 4, -11, -8, 14],\n [0, -14, -2, -20, -9, 0, 0, -5, -2],\n [-8, 0, 3, 4, 0, 22, 4, 1, 6],\n ... | 53 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-15, 14, 3, -19, 1, -4, 5, 4, 2],\n [0, -11, -11, -14, -9, -3, -20, 19, -10],\n [0, 0, -25, 19, -19, 19, 13, 14, 24],\n [0, 0, 0, 14, 13, -8, 10, -4, -24],\n [0, 0, 0, 0, -3, 14, 20, -8, -7],\n [0, 0, 0, 0, 0, 23, 12, 5, 14],\n [... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -6, -12, 0, -14, 5, 2, 12, -6],\n [-6, -22, 4, -10, -21, 2, -2, 20, -6],\n [-12, 4, -21, 1, -9, 12, 2, -4, 4],\n [0, -10, 1, -25, 7, -4, 0, -16, -8],\n [-14, -21, -9, 7, 23, 6, -12, -10, -2],\n [5, 2, 12, -4, 6, -12, -2... | 241 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, 2, 20, -11, 3, -5, 18, 5, -3],\n [0, -23, 24, 9, -12, -24, 24, -13, -24],\n [0, 0, 8, 14, -21, -1, -15, -13, 2],\n [0, 0, 0, 25, 0, 1, 0, -11, 24],\n [0, 0, 0, 0, -13, -17, 16, -12, 2],\n [0, 0, 0, 0, 0, -11, 21, 13, -11],\n... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, -16, 21, 6, -11, 13, 20, -18, 25],\n [0, -8, -11, 0, 15, 18, -5, -4, 20],\n [0, 0, 11, -12, -22, -2, -24, -25, -24],\n [0, 0, 0, 19, -9, -21, -2, -18, 18],\n [0, 0, 0, 0, 6, 14, 13, 15, 18],\n [0, 0, 0, 0, 0, 12, 17, -22... | 120 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, 10, -2, 2, -1, 13, 23, -22, 19],\n [0, -22, -13, -25, 8, -19, -1, -3, 4],\n [0, 0, 19, -9, 7, -24, 12, 18, -13],\n [0, 0, 0, -9, -8, 14, 14, 1, -15],\n [0, 0, 0, 0, -13, 7, -11, -4, 12],\n [0, 0, 0, 0... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, 19, 6, -21, -12, 20, 21, -1, -4],\n [0, 12, -17, 5, 15, -5, 10, -25, -4],\n [0, 0, -11, 20, -25, -20, 14, 9, -9],\n [0, 0, 0, 11, -8, -19, 23, 21, -6],\n [0, 0, 0, 0, -19, -11, -3, -3, 5],\n [0, ... | 122 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[11, 0, 0, -2, 3, 18, 4, 4, -8],\n [0, -3, -13, 18, -2, 0, 4, 17, -4],\n [0, -13, -10, 14, 15, 10, 10, -8, -24],\n [-2, 18, 14, 16, 15, 6, -18, -1, -6],\n [3, -2, 15, 15, -5, -16, 8, 12, -3],\n [18, 0, 10, 6, -16, 9, -9, 8, ... | 262 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, 12, 0, 10, -18, 2, 13, 2, 15],\n [12, -21, -8, -3, 6, -4, 4, -1, 6],\n [0, -8, -2, 14, 2, -14, 2, -17, -6],\n [10, -3, 14, -25, 10, -12, 5, 14, 4],\n [-18, 6, 2, 10, 11, -4, -16, 18, 16],\n [2, -4, -14, -12, -4, -7, 18, ... | 275 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, -4, -10, 9, 1, 2, 0, -5, 1],\n [-4, 18, -6, -10, -16, 4, -6, -2, -20],\n [-10, -6, 11, 2, -6, -7, 8, -18, -8],\n [9, -10, 2, 13, 16, -14, 14, -2, 6],\n [1, -16, -6, 16, 16, 6, -20, -6, -18],\n [2, 4, -7, -14, 6, 9, -2... | 55 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -8, 2, 3, 22, 17, 0, 7, 16],\n [-8, 6, -11, 6, 2, 9, -6, -12, -10],\n [2, -11, 17, -12, -8, 14, -3, 4, -2],\n [3, 6, -12, -19, -3, 17, 14, 6, 10],\n [22, 2, -8, -3, 8, 0, -10, 4, -10],\n [17, 9, 14, 17, 0, 12, 16, -17, ... | 269 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 2, 4, 3, 0, 6, 3, -14, 4],\n [2, -16, 0, -11, 14, 16, 19, -8, -12],\n [4, 0, 15, 10, -4, 3, -3, 7, 7],\n [3, -11, 10, -16, -14, -4, -14, 12, 7],\n [0, 14, -4, -14, -14, -7, 18, -4, -12],\n [6, 16, 3, -4, -7, 16, 13, 8, 0]... | 232 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, 24, -5, -5, -4, 14, 6, 0, 2],\n [24, -9, -8, 2, 0, -14, -2, -1, 1],\n [-5, -8, -13, 5, -16, -10, -2, 6, -2],\n [-5, 2, 5, -4, 4, -20, 7, 16, 10],\n [-4, 0, -16, 4, -23, 0, -10, -8, -20],\n [14, ... | 266 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[25, -22, 8, 11, -2, -5, -24, -19, -15],\n [0, -22, 9, 14, 0, -8, 11, -10, -14],\n [0, 0, 11, -7, -11, -4, -6, 17, -13],\n [0, 0, 0, 19, 6, -5, -9, 3, 3],\n [0, 0, 0, 0, -12, 13, -3, 15, -24],\n [0, 0, 0, 0, 0, 22, 8, -22, -... | 153 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 13, 8, 21, 6, 15, -3, -5, -7],\n [0, -3, -7, -21, -7, 9, -14, 13, -1],\n [0, 0, 1, -22, -7, 19, 21, -2, 16],\n [0, 0, 0, 24, -10, -14, -10, -15, 17],\n [0, 0, 0, 0, -7, -15, -22, -16, -7],\n [0, 0, 0,... | 24 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 2, -2, 6, 4, -18, -6, 1, -10],\n [2, -3, -17, 5, -22, -7, -18, 16, -2],\n [-2, -17, 12, 8, -21, 22, 9, 21, 10],\n [6, 5, 8, -23, -5, 20, -16, 8, -6],\n [4, -22, -21, -5, 18, 14, 16, 1, 2],\n [-18, -7, 22, 20, 14, -11, -4, 10,... | 55 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, -22, -16, 17, -15, -6, -7, -25, 5],\n [0, 15, 23, -21, 8, -22, 1, 13, 23],\n [0, 0, 15, -25, -10, 9, -7, -10, 7],\n [0, 0, 0, -6, -20, 9, 13, -23, 6],\n [0, 0, 0, 0, -18, 21, -7, 19, -12],\n [0, 0, 0, 0, 0, -1, -13, -10, 2],\... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, -13, -2, -2, 12, -14, -2, -7, -4],\n [-13, 23, 2, 1, 2, 16, -10, 0, -4],\n [-2, 2, -6, 12, 10, 3, -12, 1, -7],\n [-2, 1, 12, -25, -2, 2, -2, 6, -18],\n [12, 2, 10, -2, 5, -16, -4, 13, 14],\n [-1... | 243 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[25, 8, 4, -6, -4, 20, 8, 2, -17],\n [8, -23, 7, 5, -20, 10, -21, -18, 6],\n [4, 7, 12, 12, 0, 4, 3, 2, 16],\n [-6, 5, 12, -20, -7, 16, -2, 8, -18],\n [-4, -20, 0, -7, 8, -2, -6, -2, -19],\n [20, 10, 4, 16, -2, -7, 8, 5, ... | 63 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, 0, 16, -6, 6, -23, 6, -20, 9],\n [0, -23, 8, 13, 12, -4, 4, 4, -25],\n [16, 8, 11, -13, 13, -4, -8, -16, -7],\n [-6, 13, -13, -5, -5, 10, -14, 0, 14],\n [6, 12, 13, -5, -22, 14, -4, 14, -2],\n [-23, -4, -4, 10, 1... | 274 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, 6, 4, 9, 16, -14, 18, -16, 1],\n [6, 0, 13, -20, -2, 0, 12, 24, 4],\n [4, 13, 2, 3, 6, 10, -2, -4, -21],\n [9, -20, 3, -21, -5, 14, -10, 20, 21],\n [16, -2, 6, -5, 0, -14, 0, 6, 13],\n [-14, 0, 10, 1... | 65 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[9, -4, -7, 2, -1, 4, 16, 10, -8],\n [-4, -17, 12, -10, -10, 14, 2, 8, 0],\n [-7, 12, 21, -6, 22, -7, 5, -14, -14],\n [2, -10, -6, 10, 14, 10, -12, -13, 6],\n [-1, -10, 22, 14, 6, 12, -4, 8, 9],\n [4, 14, -7, 10, 12, 24, -3, ... | 244 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 10, -22, -8, 6, 6, -8, 13, 17],\n [0, 2, 24, 13, -24, 11, 11, 25, -24],\n [0, 0, 18, -13, -4, -19, -24, -12, -1],\n [0, 0, 0, -14, 10, 5, -9, -10, -16],\n [0, 0, 0, 0, 25, 1, -19, 1, 15],\n [0, ... | 124 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, 8, -2, 2, -17, 0, 3, -12, 1],\n [8, -15, 24, 17, 0, -8, 18, 4, -6],\n [-2, 24, -21, -9, -8, -2, -14, -10, -12],\n [2, 17, -9, 0, 5, -8, 4, -10, -5],\n [-17, 0, -8, 5, -15, -5, 7, 8, -2],\n [0, -8, -2, -8, -5, -7, -2,... | 62 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-13, 7, -12, -18, 0, -4, 20, -25, 23],\n [0, 18, 3, -3, -21, -5, 24, 10, -6],\n [0, 0, 0, 15, -1, 16, -19, 25, -4],\n [0, 0, 0, -14, 18, -12, -19, 2, 20],\n [0, 0, 0, 0, 5, 10, -12, 20, 2],\n [0, 0, 0, 0, 0, -4, 16, 22, ... | 20 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-18, 9, -8, 0, 15, -9, -14, 10, 0],\n [9, 25, 12, 2, 14, 20, 10, -14, -14],\n [-8, 12, 6, -8, 2, 6, 2, 0, 0],\n [0, 2, -8, -17, 0, -15, 1, -3, -6],\n [15, 14, 2, 0, -23, 0, 6, 3, -9],\n [-9, 20, 6, -15, 0, 8, 4, -5, -18]... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, 0, 0, -2, 14, -5, 12, -4, -4],\n [0, 9, -4, -18, -5, -6, 15, -20, 12],\n [0, -4, -21, -10, -8, 0, -14, -3, 13],\n [-2, -18, -10, 16, -20, 13, -18, -20, 13],\n [14, -5, -8, -20, 5, 6, -8, -18, -1... | 296 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, -23, 16, 13, -16, 0, -16, 14, -13],\n [0, 8, 18, 6, -17, 4, -25, -14, 18],\n [0, 0, 14, 19, 23, -16, 21, -2, 15],\n [0, 0, 0, 17, -13, -10, -12, -17, -17],\n [0, 0, 0, 0, -7, 12, -16, -10, 3],\n [0, 0, 0, 0, 0, 18, 9, 10, -4... | 24 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, 14, 2, -10, 19, 11, -23, 19, -7],\n [0, -7, 23, -15, -23, -24, 20, 0, -4],\n [0, 0, 24, -11, -14, -10, -10, 13, -20],\n [0, 0, 0, -7, -7, -14, -17, 15, 3],\n [0, 0, 0, 0, -12, 7, 9, -15, -22],\n [0, 0, 0, 0, 0, 23, 0, ... | 118 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, -10, -8, 6, -8, -8, -13, -4, 2],\n [-10, 25, 4, 0, -18, 4, 9, 4, -1],\n [-8, 4, -22, -14, 14, -8, 18, -4, -15],\n [6, 0, -14, 21, -14, -5, 18, -17, -14],\n [-8, -18, 14, -14, -8, 10, 0, -4, 0],\n [-8, 4, -8, -5... | 271 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, 6, 0, 11, -6, 0, -10, -10, -1],\n [6, 14, 14, 6, -12, 14, 1, 4, -8],\n [0, 14, -4, 6, 6, 9, -10, 7, -5],\n [11, 6, 6, 2, -5, 11, 10, 2, 14],\n [-6, -12, 6, -5, 21, -4, 6, 4, 9],\n [0, 14, 9, 11, -4, -11, 2, -17, 4],\n [-... | 197 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, -22, 8, 4, 12, -12, -7, -10, 4],\n [-22, -4, 8, -5, -4, 4, -12, 0, -8],\n [8, 8, -4, -2, 8, -13, -1, 18, 9],\n [4, -5, -2, 18, -6, -20, -2, -14, 0],\n [12, -4, 8, -6, 7, -10, 18, -15, 2],\n [-12, 4, -13, -20, -10, -24, 4, -6... | 57 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-22, -2, -2, -12, -6, -11, -4, 8, 12],\n [-2, 14, -15, 14, 17, -19, -8, 4, 11],\n [-2, -15, -17, 4, 3, 10, 16, 13, -6],\n [-12, 14, 4, 8, 14, -12, 14, 2, 4],\n [-6, 17, 3, 14, 7, -8, 2, 9, -17],\n [-11, -19, 10, -12... | 258 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[14, 0, 1, -6, -2, 14, -5, 2, -20],\n [0, -9, -8, -15, -14, -2, -12, -2, -10],\n [1, -8, 0, 4, -2, -4, 0, 8, -2],\n [-6, -15, 4, 4, -22, 0, 1, -14, -14],\n [-2, -14, -2, -22, 23, 18, -15, -15, 18],\n [14, -2, -4, 0, 18, 2... | 59 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 9, -22, -16, 0, -12, -6, 4, -5],\n [9, 6, -8, -6, -15, -12, -4, -17, 6],\n [-22, -8, -1, -6, 8, 22, -12, 4, -3],\n [-16, -6, -6, -17, -7, 16, 0, 0, 13],\n [0, -15, 8, -7, -4, 23, 5, -12, 2],\n [-12, -12, 22, 16, 23, -16, 1, 1... | 57 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[6, 24, -8, 18, 8, 3, -5, -25, -10],\n [0, 7, -5, 9, 1, -6, 5, -10, -12],\n [0, 0, 15, 6, -24, 19, -4, 11, -9],\n [0, 0, 0, 8, -19, 3, -9, -2, -18],\n [0, 0, 0, 0, -21, 11, -3, 0, -2],\n [0, 0, 0, 0, 0, 3, 9, 2, -14],\n [0, 0, 0, ... | 21 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, -8, -4, 6, -16, 0, 8, -8, 18],\n [-8, 7, 12, -15, 18, -4, -4, -2, -4],\n [-4, 12, -6, -16, 16, -12, -10, 8, 0],\n [6, -15, -16, -12, 10, 6, 0, -2, 5],\n [-16, 18, 16, 10, -1, 4, -18, -11, -10],\n [0, -4, -12, 6, 4, ... | 59 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, -10, -20, -5, 4, 6, -6, 5, -4],\n [-10, -25, -18, -12, -2, -10, -15, 0, -2],\n [-20, -18, -16, 0, 6, -15, -10, -10, 6],\n [-5, -12, 0, 22, -6, -12, -14, -20, 15],\n [4, -2, 6, -6, -3, 0, 7, -10, -2],\n [6, -10, -... | 238 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 24, 4, 0, -13, 23, -8, -5, 8],\n [0, 21, -17, 4, 3, 3, 20, -7, -18],\n [0, 0, -14, -11, -21, 8, 24, -23, -21],\n [0, 0, 0, -21, 1, 23, -6, 21, 19],\n [0, 0, 0, 0, 3, 17, 9, 4, -23],\n [0, 0, 0, 0, 0, 17, -10, -2... | 124 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, 17, 2, 16, -8, 8, 4, -4, 6],\n [17, -8, 0, 4, -6, 11, 0, 0, -4],\n [2, 0, 5, 0, 4, 2, -2, -1, -2],\n [16, 4, 0, 10, -6, -18, -8, 2, 14],\n [-8, -6, 4, -6, 5, 2, 8, -12, -16],\n [8, 11, 2, -18, 2, -21, 8, -13, 0],\n [4, 0,... | 211 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-20, -2, 7, 2, 2, -16, -3, -11, 20],\n [0, 11, -12, 22, -12, -19, 25, 10, -8],\n [0, 0, 7, 21, 22, -4, 17, 15, -9],\n [0, 0, 0, -8, -18, -23, 25, -12, 8],\n [0, 0, 0, 0, 22, 9, -16, -7, -15],\n [0, 0, 0, 0, 0, 21, 2, -24... | 22 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, 3, 0, 7, 1, 4, -16, 1, -10],\n [3, 18, -17, 12, -4, -1, 4, 16, 10],\n [0, -17, -20, 10, 16, -7, 10, -8, 16],\n [7, 12, 10, 7, -4, 12, 4, -4, -6],\n [1, -4, 16, -4, 6, 14, -8, -24, -6],\n [4, -1, -7, 12, 14, 15, 14, 2, 5],\n [... | 57 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, -8, -8, -16, 11, -6, 22, 8, 1],\n [-8, -5, 8, 0, -6, 0, 2, 12, 7],\n [-8, 8, -5, 2, -8, 2, 18, 5, 0],\n [-16, 0, 2, 2, -7, -11, -3, 11, 0],\n [11, -6, -8, -7, 9, 17, -5, -8, 4],\n [-6, 0, 2, -11, 17, -24, -13, -20, 18],\n [22... | 52 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, -2, -10, 20, -14, -14, -17, -14, 22],\n [-2, -19, 16, -18, 2, 5, -4, -17, 10],\n [-10, 16, 11, 10, 5, -8, 1, 0, 19],\n [20, -18, 10, 0, 6, 4, -3, 18, 6],\n [-14, 2, 5, 6, 5, -4, -11, 18, 16],\n [-14, 5, -8, 4, -4, -17, -2... | 298 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-25, 9, 14, 19, -19, 9, 8, 24, -21],\n [0, 24, 22, 1, -19, -25, -17, 21, -25],\n [0, 0, 6, 15, 4, -11, 16, 2, -23],\n [0, 0, 0, 12, -10, 18, -9, -14, 0],\n [0, 0, 0, 0, -8, -18, 1, 0, 5],\n [0, 0, 0, 0, 0, 23, 16, -4, 7]... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[22, -12, -5, -4, 2, 16, 6, -4, -20],\n [-12, 6, 14, 16, -2, 0, -22, 8, -18],\n [-5, 14, -6, 1, 3, 1, 8, 0, 4],\n [-4, 16, 1, 5, -24, 0, -2, 10, 6],\n [2, -2, 3, -24, 4, 0, 8, 4, -4],\n [16, 0, 1, 0, 0, -17, 4, 0, -2],\n [6, ... | 232 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, -5, 9, 3, -2, -8, 8, -10, 5],\n [-5, -9, -4, 10, 4, -4, 14, 8, -2],\n [9, -4, 2, -6, 2, -10, -20, -2, 2],\n [3, 10, -6, -3, 7, 7, -1, -2, -14],\n [-2, 4, 2, 7, 6, 10, 15, 3, 5],\n [-8, -4, -10, 7, 10, -24, 2, 3, 4],\n [8, 14,... | 48 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 12, -22, -10, -23, -18, -10, -24, 19],\n [0, -2, -10, 25, 14, -24, 6, -25, 23],\n [0, 0, 6, -17, -23, -2, -15, 2, -10],\n [0, 0, 0, 20, -22, 0, -22, -15, -24],\n [0, 0, 0, 0, 8, -25, -21, 13, 5],\n [0... | 20 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 16, 24, -9, 23, -25, 1, 10, -15],\n [0, 15, 9, 12, 12, 16, 16, 23, 21],\n [0, 0, 14, -25, -4, -9, -14, 18, -13],\n [0, 0, 0, 14, 20, 13, 23, 17, 7],\n [0, 0, 0, 0, -2, -2, -14, 5, -10],\n [0, 0, 0, 0, 0, 7, 25, -2, 4],\n... | 104 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -24, 1, -11, -5, -3, 14, -1, -8],\n [-24, -5, -2, 2, 14, 2, 6, 2, -5],\n [1, -2, -22, 0, -3, -20, 2, -3, 10],\n [-11, 2, 0, 4, -4, -11, 6, 8, 18],\n [-5, 14, -3, -4, 0, -12, -12, -13, -10],\n [-3... | 254 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, 6, -7, -14, -20, -20, -3, -8, 22],\n [6, 0, 10, -10, -17, -4, 2, 6, -4],\n [-7, 10, -15, 13, -5, -4, 10, 2, 5],\n [-14, -10, 13, 22, 18, -14, -10, 6, 4],\n [-20, -17, -5, 18, -5, 0, 8, 10, -14],\n [-20, -4, -4, -14, 0, ... | 240 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 3, -15, -4, 5, 13, -25, -11, -7],\n [0, -17, -13, 19, 0, -20, 14, 18, -24],\n [0, 0, -14, -3, 24, -23, 24, -15, -21],\n [0, 0, 0, -20, -10, 5, -3, 4, 14],\n [0, 0, 0, 0, 21, -23, 21, 8, -14],\n [0, 0, 0, 0, 0, 2, -19, 2... | 147 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[25, 3, -22, -5, 8, 8, 0, -21, 9],\n [3, -22, 3, 2, 4, 10, 13, 4, -8],\n [-22, 3, 17, 20, -11, 16, 4, 12, 10],\n [-5, 2, 20, -22, -13, 0, 9, 8, -4],\n [8, 4, -11, -13, -6, -6, 14, 15, -4],\n [8, 10, 16, 0, -6, -22, 18, 8, 4],\n [0... | 65 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, 8, -3, -6, -4, -2, 12, -4, 2],\n [8, 14, -6, 18, 11, -2, -8, 17, -8],\n [-3, -6, 17, 1, 20, 6, 18, 6, 0],\n [-6, 18, 1, 20, -8, -6, -6, -4, 0],\n [-4, 11, 20, -8, 12, 10, -14, 0, 6],\n [-2, -2, 6, -6, 10, -11, 18, -4, 7],\n [... | 48 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-1, 23, 6, -10, -25, 20, -23, -6, 2],\n [0, 10, 15, -25, -12, 19, -11, 6, -8],\n [0, 0, -4, -10, -15, -19, -17, -25, 16],\n [0, 0, 0, 3, -20, -14, 17, 13, -19],\n [0, 0, 0, 0, 10, -7, -5, -7, 17],\n [0, 0, 0, 0, 0, -15, -1, ... | 74 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[12, 15, -13, -21, 20, -12, 24, -19, -20],\n [0, 20, 25, -10, 25, 6, 16, -15, -22],\n [0, 0, -17, -16, -18, 10, 6, 19, -20],\n [0, 0, 0, -17, 12, -21, 8, -12, -16],\n [0, 0, 0, 0, -15, -13, -9, 11, 18... | 122 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[4, 17, -14, 0, 16, -4, -4, -6, 8],\n [17, -1, -6, -8, 0, 17, -10, 2, -4],\n [-14, -6, 6, -8, 6, -3, 10, -22, 10],\n [0, -8, -8, 15, -1, -8, -6, 0, 21],\n [16, 0, 6, -1, 10, 0, -10, -20, -13],\n [-4, 17, -... | 54 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, -3, 4, -10, 4, 8, -18, -15, -14],\n [-3, 13, 4, 11, -8, -7, 0, -20, 14],\n [4, 4, -16, 13, -4, 6, 6, 0, 4],\n [-10, 11, 13, -5, -6, 6, 4, 14, 12],\n [4, -8, -4, -6, 12, 2, 8, -2, -8],\n [8, -7, 6, 6, 2, 14, 1, 0, 4],\n [... | 231 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[21, -10, 20, 10, 8, 13, -2, 13, -20],\n [0, -17, 23, -5, -15, 22, 4, -25, 1],\n [0, 0, -20, 17, -19, 22, -4, 8, -6],\n [0, 0, 0, 21, -17, -8, 20, 20, 10],\n [0, 0, 0, 0, 7, 20, 14, -20, 17],\n [0, 0, 0, 0, 0, -4, 5, 16, -1],\n [0... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 1, 9, -12, 16, 17, -2, -10, 2],\n [1, -3, 2, 2, -11, -6, -5, -3, -8],\n [9, 2, -17, 2, 19, 12, -19, 4, -8],\n [-12, 2, 2, 13, -4, 6, -16, -12, -6],\n [16, -11, 19, -4, 8, -22, -3, 20, -7],\n [17... | 261 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 9, -18, -9, -2, -21, -10, -11, 2],\n [9, 3, 13, 21, -10, -6, -9, 24, -10],\n [-18, 13, -21, 5, -4, 4, 0, 8, -12],\n [-9, 21, 5, 16, 4, 0, -5, -12, -6],\n [-2, -10, -4, 4, 7, 4, -4, -10, -14],\n [-21, -6, 4, 0, 4, 7,... | 53 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-9, 2, -4, 8, -19, 18, -2, 4, -4],\n [2, 23, -7, 8, 8, -22, -4, 0, -4],\n [-4, -7, -15, -16, 10, 8, -4, -2, -1],\n [8, 8, -16, 2, -20, 6, 0, 16, 12],\n [-19, 8, 10, -20, 9, -5, -2, 8, -2],\n [18, -22, 8, 6, -5, -23, -6, 4, 2],\n ... | 46 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 18, 12, -15, -14, -6, 12, -22, 9],\n [18, 11, 10, -12, -2, 8, 2, -6, 20],\n [12, 10, 3, 6, 8, 7, -17, -10, -2],\n [-15, -12, 6, 23, -4, -12, 10, 2, -11],\n [-14, -2, 8, -4, -23, 2, -6, -12, -7],\n [-6, 8, 7, -12, 2, -19, ... | 254 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 25, -8, 23, -25, -15, 10, 6, 2],\n [0, -19, 14, -2, -16, 4, -9, 18, -18],\n [0, 0, -9, 9, 20, 18, -21, 19, -15],\n [0, 0, 0, 14, -20, -6, -6, -2, 1],\n [0, 0, 0, 0, 2, -8, 16, 19, -12],\n [0, 0, 0, 0, 0, 22, 13, 20,... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[23, -4, 3, -7, -9, 2, -8, -1, -10],\n [-4, 14, -8, 8, -13, -12, -8, -6, 20],\n [3, -8, -8, -10, 10, 0, 15, -3, 14],\n [-7, 8, -10, -3, -22, -4, -9, -4, 13],\n [-9, -13, 10, -22, -20, 8, 12, 16, -24],... | 254 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-22, -6, 7, -12, 16, 4, -2, 3, 6],\n [-6, -10, 10, -6, 4, -2, -8, -18, -6],\n [7, 10, -23, 19, -6, 5, 10, -2, 12],\n [-12, -6, 19, -22, 0, 2, 0, 12, 1],\n [16, 4, -6, 0, -2, -14, 0, 0, 8],\n [4, -2, ... | 205 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 0, 14, 2, -20, -2, 16, -10, 10],\n [0, 14, 2, 0, -25, -5, -20, 6, 1],\n [14, 2, 13, -4, -12, 2, -2, -8, -8],\n [2, 0, -4, 10, 14, 10, 4, 6, 18],\n [-20, -25, -12, 14, 22, -12, 10, 15, -8],\n [-2, -5, 2, 10, -12, 18, ... | 65 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, -8, 12, -16, -3, 3, 16, -4, 14],\n [-8, -7, 2, -4, 8, -2, -15, -12, -13],\n [12, 2, -7, 10, -4, -4, 3, 1, 2],\n [-16, -4, 10, 15, 0, 10, -10, -13, -14],\n [-3, 8, -4, 0, -6, -18, -13, -2, 16],\n [3, -2, -4, 10, -18, -14,... | 253 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, 22, 10, 7, -6, 8, 10, -4, -2],\n [22, -16, 4, 5, -5, -12, -12, 6, 16],\n [10, 4, 24, 10, -8, 12, -6, -20, -8],\n [7, 5, 10, -22, -14, 5, 5, 4, 10],\n [-6, -5, -8, -14, 18, -18, -16, -2, 2],\n [8, -12, 12, 5, -1... | 264 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[19, -2, 12, -1, -12, -2, -1, 3, 10],\n [-2, 23, -4, -4, 19, 18, -5, 8, -4],\n [12, -4, 10, 22, 18, -24, 5, -4, 2],\n [-1, -4, 22, 7, -6, -8, -1, -11, -1],\n [-12, 19, 18, -6, 19, 0, 3, 6, 4],\n [-2, 18, -24, -8, 0, 17, 2, 6, -6],... | 62 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, -19, 11, 14, -24, -20, 10, 13, 12],\n [0, -4, 11, -21, -8, -15, -18, -6, -15],\n [0, 0, -1, 25, -7, -24, 16, 13, 18],\n [0, 0, 0, 5, 7, -15, 14, 14, 20],\n [0, 0, 0, 0, -6, -5, -12, -2, 14],\n [0, 0, 0, 0, 0, -... | 82 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[24, -5, 7, -9, 3, -14, 2, 3, 14],\n [-5, -20, -3, 8, 10, -4, 20, -12, -8],\n [7, -3, 20, -8, -4, -6, 1, -8, 7],\n [-9, 8, -8, -17, -2, -4, -4, 8, -10],\n [3, 10, -4, -2, -2, 13, -8, -23, -6],\n [-14,... | 250 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, -17, 3, 5, 19, 20, 1, -20, 17],\n [0, 15, 19, 10, -24, -5, 8, -4, -13],\n [0, 0, 12, 14, 23, -23, 12, -7, -19],\n [0, 0, 0, -4, -3, 24, -16, 10, 11],\n [0, 0, 0, 0, -19, 20, -1, 14, 15],\n [0, 0, 0, 0... | 20 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, -8, 2, -22, 20, 6, -22, -14, -8],\n [-8, 9, 6, -13, -10, -5, -1, -3, -10],\n [2, 6, -20, -13, 12, -2, 2, 0, -6],\n [-22, -13, -13, 19, -25, 9, -16, -6, 6],\n [20, -10, 12, -25, -3, 2, -15, 4, -12],\n [6, -5, -2, 9, 2, 13, -7,... | 64 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-18, -21, 14, 3, -8, 3, -11, 24, 19],\n [0, -11, 19, -23, 18, 18, 16, 7, -2],\n [0, 0, -2, -13, 1, 7, -7, -1, -20],\n [0, 0, 0, 23, -9, -5, 17, -6, -14],\n [0, 0, 0, 0, 7, -23, -9, 13, 6],\n [0, 0, 0, 0, 0, 17, 9, 3, -14],\n [0,... | 23 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[21, -16, 2, -5, 23, 2, -4, 12, -7],\n [0, 20, -2, 2, 19, -13, -17, -17, -5],\n [0, 0, 3, 14, -16, -22, -23, -13, -5],\n [0, 0, 0, -25, -12, -14, 10, -4, 10],\n [0, 0, 0, 0, 8, -1, 0, -23, -6],\n [0, 0, 0, 0, 0, -15, -10,... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, -18, -9, -12, 4, -8, 20, 10, -5],\n [0, 7, -3, 12, -21, -11, 4, -10, 14],\n [0, 0, -20, -21, 12, -1, 2, -25, -12],\n [0, 0, 0, -11, -7, 12, 6, 5, 11],\n [0, 0, 0, 0, 21, 14, -18, -22, 5],\n [0, 0, 0, 0, 0, 0, -22, -24, -... | 101 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[23, 17, -2, 15, -10, 1, 6, 9, 2],\n [17, -10, -4, 0, -2, -4, 16, 2, -8],\n [-2, -4, -10, 14, -4, -11, -16, -18, -2],\n [15, 0, 14, -20, 6, 12, -2, -17, 0],\n [-10, -2, -4, 6, -12, -2, -8, -6, 10],\n [1, -4, -11, 12, -2, -10... | 228 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, 4, 4, -1, 20, 22, -8, -9, 2],\n [4, -16, -4, 0, 0, 18, 8, 0, -1],\n [4, -4, -20, -8, -16, 0, -10, 10, -2],\n [-1, 0, -8, 21, 3, -2, 20, 12, -3],\n [20, 0, -16, 3, -9, 12, 20, 4, 11],\n [22, 18, 0, -2, 12, -11, 8, 8, 5],... | 239 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -18, 14, 4, 12, 10, 1, -8, 6],\n [-18, 19, -6, 16, 1, 10, -18, -8, 10],\n [14, -6, -7, 14, 16, -4, 18, 2, 0],\n [4, 16, 14, -8, -10, -6, -10, -11, 2],\n [12, 1, 16, -10, -24, -4, 20, 24, 10],\n [10, 10, -4, -6, -4, 23, 13, 8,... | 63 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, -3, 4, -9, -24, -15, 23, -12, 15],\n [0, -7, 2, 25, -25, -21, 25, 8, -12],\n [0, 0, 14, -9, -24, 5, -9, -18, 20],\n [0, 0, 0, 17, 14, 19, 14, -19, -2],\n [0, 0, 0, 0, -24, 18, -22, -21, 22],\n [0, 0, 0, 0, 0, -22, 2, -21... | 129 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[17, -10, 10, 0, -4, -2, 20, -1, -2],\n [-10, 8, -10, 11, 12, 16, -10, -14, -6],\n [10, -10, -25, -8, -6, -9, 0, -4, 12],\n [0, 11, -8, -18, 4, -4, 18, 10, 6],\n [-4, 12, -6, 4, 7, 10, 7, -2, 4],\n [-2, 16, -9, -4, 10, 25, 7, 1, ... | 51 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, 11, -2, -4, 16, -4, -1, 0, 8],\n [11, 4, 20, 14, 9, -18, 2, 0, 18],\n [-2, 20, 1, 18, -8, -13, -6, 0, 18],\n [-4, 14, 18, -20, 16, 4, 4, -2, 2],\n [16, 9, -8, 16, 0, 12, 16, -14, 0],\n [-4, -18, -13,... | 48 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, -24, 4, -24, 13, 3, -4, -1, 16],\n [0, -7, 23, -10, -9, 24, 1, 17, -7],\n [0, 0, 4, -12, 20, 16, 6, -3, 10],\n [0, 0, 0, -15, 24, 12, -11, 6, 1],\n [0, 0, 0, 0, -23, 4, 5, -25, 20],\n [0, 0, 0, 0, 0, 15, 17, -11, 12]... | 23 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -10, -7, 4, -2, -12, 20, 5, 0],\n [-10, 13, -2, -2, 6, 8, -2, 14, -16],\n [-7, -2, 22, -7, 2, 11, -4, -11, -22],\n [4, -2, -7, 16, -7, 9, 4, 8, 4],\n [-2, 6, 2, -7, -6, -10, -20, -14, -15],\n [-12, 8, 11, 9, -10, 24, 20, -7, 6... | 52 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, -4, 10, 11, 4, 14, 0, 8, 0],\n [-4, -6, -8, -18, 14, 16, 15, -4, -15],\n [10, -8, -12, -4, -3, -13, -13, 12, 10],\n [11, -18, -4, -5, 12, -14, -2, 5, -22],\n [4, 14, -3, 12, 6, -12, 12, 16, -8],\n [14, 16, -13, -14, -12, ... | 264 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, -4, 7, -24, 19, 3, 20, 8, -10],\n [0, 13, 20, 24, 23, -21, 17, -8, 22],\n [0, 0, -20, -12, -24, 1, -17, -13, -5],\n [0, 0, 0, -13, -5, 7, -6, 10, -8],\n [0, 0, 0, 0, 12, -11, 24, -9, 20],\n [0, 0, 0, 0, 0, 17, -13, -9, ... | 109 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 5, 6, -19, 17, 12, 8, 20, -22],\n [0, -4, 3, 8, 8, 19, 19, -23, -5],\n [0, 0, -9, 3, 7, 13, 0, -19, 19],\n [0, 0, 0, -15, -4, 6, 17, -16, 23],\n [0, 0, 0, 0, -16, -14, 12, -5, 1],\n [0, 0, 0, 0, 0... | 100 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, -15, -15, -8, -2, -16, -10, 13, 0],\n [-15, -1, 11, -20, -14, 8, -13, -19, 13],\n [-15, 11, -13, -14, 7, -1, -14, -10, 4],\n [-8, -20, -14, 2, -18, 7, -16, -6, 4],\n [-2, -14, 7, -18, -3, -14, 8, -1, 0],\n [-16, 8, -1, 7,... | 261 | MATH |
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