messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[13, 3, -11, 17, -18, -5, 13, -7, -3],\n [0, -15, -2, 10, 14, -2, -23, -4, -24],\n [0, 0, 4, 12, -24, -5, 7, -14, -4],\n [0, 0, 0, 1, 16, 2, -10, -11, 21],\n [0, 0, 0, 0, 25, -19, -5, -17, 13],\n [0, 0, 0,... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, -18, -12, -3, 14, -5, -10, 19, -8],\n [0, -2, 0, -1, 19, 15, 3, -11, 19],\n [0, 0, -19, -17, -2, -25, 18, -18, -2],\n [0, 0, 0, -18, 9, 9, 7, -21, 16],\n [0, 0, 0, 0, -17, -18, -14, 8, 7],\n [0, 0, 0, 0, 0, 18, 14, -4,... | 119 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -3, 10, -2, 9, 4, -6, -8, 6],\n [-3, 25, 7, -12, -20, 11, 21, -4, -9],\n [10, 7, 18, -2, 8, -8, 6, 2, 10],\n [-2, -12, -2, -13, 11, -4, 18, -6, -20],\n [9, -20, 8, 11, 25, 20, 4, -14, -13],\n [4, 11, ... | 60 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, -20, -4, -15, 22, -10, 7, -17, -20],\n [0, 3, -23, -6, 10, -7, 0, -23, -7],\n [0, 0, -19, 15, 7, 14, 13, -8, 14],\n [0, 0, 0, -1, 24, -3, 5, 4, 16],\n [0, 0, 0, 0, 22, 23, -24, -25, 22],\n [0, 0, 0, 0, 0, 15, 9, -7, 22],\n [0,... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, -22, 6, -8, -14, 1, 2, -1, -12],\n [-22, -9, 10, 13, -2, 17, 2, 0, 8],\n [6, 10, 12, 13, 24, -2, -2, -11, -8],\n [-8, 13, 13, 2, 6, 9, -8, 18, -3],\n [-14, -2, 24, 6, 18, 0, 0, 12, 18],\n [1, 17, -2, 9... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, 4, 0, 15, 18, 10, 12, -4, -8],\n [4, -1, 9, -18, -2, -6, 16, -2, -2],\n [0, 9, -10, -3, -17, 19, -6, -6, 5],\n [15, -18, -3, -3, -8, 2, -7, 4, 1],\n [18, -2, -17, -8, 17, -4, 16, -9, 20],\n [10, -6, 19... | 51 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 13, -21, -4, 3, -23, -14, 0, -10],\n [0, 11, -4, 3, -12, 2, -21, 21, 23],\n [0, 0, -21, -14, -10, 0, 0, 22, -5],\n [0, 0, 0, 4, 11, -3, -16, -21, 10],\n [0, 0, 0, 0, 6, -25, -21, 19, -22],\n [0, 0, 0, 0, 0, 2, 6, 1, -6],\n [... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 8, -12, 12, 6, -12, 5, 6, 18],\n [8, -19, -6, 17, 2, 4, -6, 2, -2],\n [-12, -6, -16, 2, 3, -4, 12, 22, 0],\n [12, 17, 2, 23, 0, 14, -4, -6, 10],\n [6, 2, 3, 0, -3, -1, -2, -3, 12],\n [-12, 4, -4, 14, -1, -4, -15... | 221 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-21, -4, 6, -2, 18, -16, -7, 22, 4],\n [-4, -16, 0, -14, -5, -10, 11, -7, 4],\n [6, 0, 24, 12, -7, -14, -8, 9, 1],\n [-2, -14, 12, 19, -22, 4, 3, -4, -3],\n [18, -5, -7, -22, 5, -15, 16, -4, -7],\n [-16, -10, -14, 4, -15, 19, -19... | 59 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -16, 16, 20, 15, -16, 6, -5, -8],\n [-16, -10, -8, -6, -10, -12, 12, -8, -2],\n [16, -8, -2, 2, -16, 14, -6, 0, -4],\n [20, -6, 2, 11, 8, -6, 4, -5, -21],\n [15, -10, -16, 8, 22, 12, -19, 8, 2],\n [-16, -12, 14, -6, 12,... | 270 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -6, -1, 8, -2, 4, 12, 12, -6],\n [-6, -7, -11, -12, -16, -11, 22, -9, 2],\n [-1, -11, -22, -6, 14, 1, 7, 3, -7],\n [8, -12, -6, 0, 6, -24, 8, -12, -17],\n [-2, -16, 14, 6, -9, 4, 12, 0, -14],\n ... | 280 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 0, -23, 6, -2, 2, 13, -3, 12],\n [0, -3, -6, -1, -20, -5, 0, -16, -5],\n [-23, -6, -23, 0, -22, 10, 12, 14, 22],\n [6, -1, 0, -21, 4, 2, 4, -4, -2],\n [-2, -20, -22, 4, -14, -8, 10, -2, 6],\n [2, ... | 265 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-3, 4, 8, -1, 20, -14, -4, -4, 2],\n [4, -1, 14, 8, -17, 6, -14, -5, -14],\n [8, 14, -1, 5, 0, 1, 10, 2, -11],\n [-1, 8, 5, -8, 22, 14, 0, 0, 5],\n [20, -17, 0, 22, 18, -14, 10, 14, -2],\n [-14, 6, 1, 14, -14, 11, -... | 230 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, 16, 10, -20, -16, -20, -4, -8, 4],\n [16, 18, 1, -5, -2, -6, -2, 1, -4],\n [10, 1, -14, 4, -20, -8, -4, -1, 13],\n [-20, -5, 4, 17, -2, -1, 2, 16, -2],\n [-16, -2, -20, -2, -24, -15, -4, -8, -9],\... | 237 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-21, -8, -2, -6, -20, 6, -2, 10, 1],\n [-8, 14, -10, 14, 20, -6, 1, 23, 16],\n [-2, -10, -11, 10, -10, 0, -8, 16, -23],\n [-6, 14, 10, 25, 14, 14, -18, 0, -18],\n [-20, 20, -10, 14, -11, 16, -9, 2, 12],\n [6, -6, 0, 14, ... | 60 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[25, 10, 10, 0, 17, 1, -21, -6, -15],\n [0, 14, 12, -20, -18, -3, 21, 0, 20],\n [0, 0, 0, -13, 14, -8, -1, 7, 21],\n [0, 0, 0, 18, 10, 22, -22, -21, 11],\n [0, 0, 0, 0, 5, -17, 25, 3, -12],\n [0, 0, 0, 0, 0, -25, 20, 11, -5]... | 111 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 18, 25, -2, -1, -19, -20, -2, 7],\n [0, 3, 17, -4, 0, 2, 24, -5, 23],\n [0, 0, -6, 15, 23, -6, -4, 2, 14],\n [0, 0, 0, 6, -13, 4, -3, 25, -7],\n [0, 0, 0, 0, 19, 3, 4, -10, 14],\n [0, 0, 0, 0, 0, 21, ... | 25 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -3, -18, 21, 11, -23, 25, 7, 2],\n [0, -18, 8, 9, 6, -2, -12, 6, 20],\n [0, 0, -22, 11, -5, -12, 5, 22, -8],\n [0, 0, 0, 7, -3, -5, -7, 22, -7],\n [0, 0, 0, 0, -25, 21, -21, -6, -15],\n [0, 0, 0, 0, 0, -6, -21, 11, 1... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, 2, -16, 0, -6, -3, -4, -4, 1],\n [2, -20, 2, 0, 18, 18, 12, -4, 14],\n [-16, 2, -1, -4, -12, 4, 20, 2, 6],\n [0, 0, -4, 1, 7, 16, 0, 14, -6],\n [-6, 18, -12, 7, -5, 1, 17, -2, 0],\n [-3, 18, 4, 16, 1,... | 44 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, 0, -8, 10, 7, 2, -2, -10, 9],\n [0, -23, 5, -2, 14, 9, 8, -6, 8],\n [-8, 5, -7, 0, 4, 19, -6, 4, 18],\n [10, -2, 0, -2, -14, 0, 2, 8, 0],\n [7, 14, 4, -14, -18, 0, -6, -10, -11],\n [2, 9, 19, 0, 0, 21, 1, 4, 3],\n [-2, 8... | 209 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, -2, 9, 18, 19, 8, -23, 11, 17],\n [0, 0, -3, 18, 13, -11, 23, -22, 3],\n [0, 0, -13, -8, 7, -10, 19, 16, 18],\n [0, 0, 0, 8, 4, -13, -13, -8, 6],\n [0, 0, 0, 0, 3, 23, 3, 18, -10],\n [0, 0, 0, 0, 0, 13, -6, -21, -25],\n ... | 97 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -6, 5, 8, -12, -16, -22, -20, -3],\n [-6, 25, -2, 7, -5, 14, 4, -8, 4],\n [5, -2, -20, 1, -6, 14, 2, 16, -18],\n [8, 7, 1, 16, 10, 4, -11, -6, 4],\n [-12, -5, -6, 10, -13, 18, 8, -14, 0],\n [-16, 14, 14, 4, 18, -23, -8,... | 266 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 24, 14, 19, 6, 3, 25, -23, 14],\n [0, 14, 1, -13, 19, 7, -20, -2, -7],\n [0, 0, 2, 7, 22, 15, -13, 17, 19],\n [0, 0, 0, 1, 12, -19, -21, 17, 19],\n [0, 0, 0, 0, -16, 6, 17, 4, 13],\n [0, 0, 0, 0,... | 88 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, -4, -22, -6, 6, 10, 24, -22, 1],\n [0, -14, -4, -9, -16, -25, -4, 0, -8],\n [0, 0, 21, 3, -14, 10, 9, -14, -19],\n [0, 0, 0, -20, 21, -11, 6, 25, -15],\n [0, 0, 0, 0, 8, 3, -22, -9, 9],\n [0, 0, 0, 0, 0, 3, -15, 6, -24],\n [0... | 23 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, -8, -16, -4, 20, -8, -7, 4, 8],\n [-8, -9, 3, -15, -8, -4, 20, 11, -8],\n [-16, 3, 18, -10, -24, -1, 10, 2, -4],\n [-4, -15, -10, -9, 8, -7, 8, -13, 10],\n [20, -8, -24, 8, -18, 2, 0, -12, -17],\n [-8, -4, -1, -7, 2, 21,... | 249 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-24, 2, 8, -2, -16, -9, 0, 4, -10],\n [2, 13, -4, -2, 18, -10, 3, 17, -10],\n [8, -4, 18, 18, 8, -10, -13, 0, -12],\n [-2, -2, 18, 5, 0, 8, 5, -16, -11],\n [-16, 18, 8, 0, 21, -21, -14, -2, 0],\n [-9, -10, -10, 8, -21, 1... | 61 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-16, 14, 2, 6, 7, 8, -16, -13, 12],\n [14, -5, 2, -13, -10, 6, -17, 8, -3],\n [2, 2, 24, 6, 1, -6, -4, 4, 8],\n [6, -13, 6, 8, 14, -5, 12, 5, 18],\n [7, -10, 1, 14, -8, 18, -13, -18, -7],\n [8, 6, -6, -5,... | 54 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, -10, 2, 8, -18, -8, 1, -6, 4],\n [-10, 3, 0, -14, 11, 9, -18, 2, 3],\n [2, 0, -14, -7, -6, -12, 2, 7, 8],\n [8, -14, -7, 23, 24, 14, 9, 17, -7],\n [-18, 11, -6, 24, -12, -22, -12, 8, 6],\n [-8, 9, -12, 14, -22, ... | 273 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[24, -4, -16, -18, -4, -6, 14, -20, -2],\n [-4, 21, 0, -13, 11, 12, -16, 6, 11],\n [-16, 0, 0, 1, 0, 14, 0, -11, -9],\n [-18, -13, 1, -22, 11, -13, 0, -4, -6],\n [-4, 11, 0, 11, 0, 12, -6, 20, -12],\n [-6, 12, 14, -13, 12... | 57 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-11, 2, -12, -10, 10, -6, 6, 0, 12],\n [2, 18, -6, -10, -2, 14, 2, 4, -4],\n [-12, -6, 20, -8, -17, 10, -6, -11, 22],\n [-10, -10, -8, 3, 9, 8, -8, -14, 5],\n [10, -2, -17, 9, 10, 3, 14, 15, 3],\n [-6, 14, 10, 8, 3, 19, -10,... | 261 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, -8, -24, 23, -13, -22, 0, -1, 4],\n [0, -19, 5, 18, -16, 13, -13, 5, -19],\n [0, 0, 16, 10, -6, -22, -19, -25, 18],\n [0, 0, 0, -13, -4, -5, -4, 2, -17],\n [0, 0, 0, 0, -2, 16, -18, -2, -10],\n [0, 0, 0, 0, 0, 24, -2, -7... | 114 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-16, -12, 4, 4, 3, -3, 14, -14, -13],\n [-12, -23, 4, 12, -2, 12, -19, 11, -8],\n [4, 4, -22, 7, 14, 11, 1, 10, 11],\n [4, 12, 7, 11, 10, 2, -22, -10, -6],\n [3, -2, 14, 10, -22, -16, 0, -10, 0],\n [-3, 12, 11, 2, -16, 12, -10, ... | 60 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, -9, -10, -14, -18, -6, -23, -10, 4],\n [0, -3, 2, 25, 14, -21, -6, 14, 18],\n [0, 0, -5, -6, -20, -4, -8, -18, 13],\n [0, 0, 0, -14, 12, 8, -12, 10, 7],\n [0, 0, 0, 0, 15, -5, -24, 1, -17],\n [0, 0, 0, 0, 0, -22, -8, -2... | 108 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, -24, 1, -24, 9, -8, -12, -6, -8],\n [0, -1, -24, -1, 7, 10, 5, -12, -25],\n [0, 0, 20, -23, 9, 15, -20, -1, -13],\n [0, 0, 0, 8, -22, -1, -11, -22, 19],\n [0, 0, 0, 0, -13, 5, -12, -6, -8],\n [0, 0, 0, 0, 0, -24,... | 126 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, 19, 1, -2, 16, 13, 10, 18, 10],\n [19, 11, 2, -11, -2, -6, 6, 2, -18],\n [1, 2, -21, -6, -4, -5, 8, -10, 10],\n [-2, -11, -6, -21, -7, -6, -1, -8, 19],\n [16, -2, -4, -7, 19, -8, 11, 3, 2],\n [13, -6, -5, -6, -8, 8, 19, -16, ... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, -20, 10, -16, -8, 2, 2, 21, -6],\n [-20, 6, 18, -16, -11, -4, -18, -2, -4],\n [10, 18, -25, 7, 25, -9, 12, -12, -12],\n [-16, -16, 7, 14, 4, 16, 4, -14, -5],\n [-8, -11, 25, 4, 25, 19, -19, -3, 9],\n ... | 69 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, -1, 0, 7, -14, -5, -12, -10, 10],\n [-1, -17, -3, 9, -8, -8, 8, 10, -10],\n [0, -3, 18, 10, 4, 8, 0, -4, 1],\n [7, 9, 10, 23, 3, 6, 12, -5, -4],\n [-14, -8, 4, 3, 14, 18, -12, 8, 10],\n [-5, -8, 8, 6, 18, -1, -8, -6, 4],\n [... | 44 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 11, 21, -18, 16, -10, -18, -25, 18],\n [0, -23, -25, -22, 14, 9, 6, 16, 8],\n [0, 0, -16, -5, 20, 13, 1, 1, -24],\n [0, 0, 0, -17, 10, -4, 16, 0, -14],\n [0, 0, 0, 0, -6, -15, -10, 25, 5],\n [0, 0, 0, 0, 0, -22, -6, -16, -2],... | 23 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 6, 8, 6, 6, 0, -14, 10, 4],\n [6, -14, 4, 10, -8, -3, -8, 0, 0],\n [8, 4, 23, -1, 6, 24, 10, 12, -8],\n [6, 10, -1, -20, -17, -14, 24, 16, -10],\n [6, -8, 6, -17, -15, 0, -12, -3, 2],\n [0, -3, 24, -14, 0, 17, 2... | 274 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, 10, -20, 15, 20, 18, 5, -6, -2],\n [0, 10, -5, 4, -2, 18, 16, 4, -4],\n [0, 0, 9, 2, -12, -16, -10, -10, 5],\n [0, 0, 0, -20, 18, -17, 19, 10, 17],\n [0, 0, 0, 0, -22, 24, 7, 1, -19],\n [0, 0, 0, 0, 0... | 22 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, 7, -9, -2, 8, 2, 17, 15, 13],\n [0, 23, -9, 8, -20, 20, -20, 8, -25],\n [0, 0, -21, -24, -4, 22, -24, -16, 8],\n [0, 0, 0, 13, -4, -14, -2, 21, 14],\n [0, 0, 0, 0, 23, 6, -19, -5, -6],\n [0, 0, 0, 0, 0, 14, -5, ... | 132 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-16, -18, -11, 13, 10, 8, 8, -3, -4],\n [-18, 21, -12, 20, 21, -2, -10, -4, -2],\n [-11, -12, -24, -2, 4, -18, 14, -8, 2],\n [13, 20, -2, 12, 9, -6, -24, -20, -3],\n [10, 21, 4, 9, -22, 12, -9, 10, 2],\n [8, -2, -18, -6, 12,... | 284 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, -14, 10, 2, 4, -2, -4, 9, -2],\n [-14, -23, -4, 0, 2, 1, 0, -8, -3],\n [10, -4, -5, 16, 8, 18, 2, 16, 8],\n [2, 0, 16, -4, -1, -4, 8, -14, 6],\n [4, 2, 8, -1, -6, -15, 14, -16, -6],\n [-2, 1, 18... | 209 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[20, 12, -12, 10, -18, 9, -7, 4, -12],\n [0, 23, -1, 14, -2, -12, 0, 12, -3],\n [0, 0, -7, 20, 25, -23, 16, -7, -17],\n [0, 0, 0, -19, -12, -17, -7, 21, -12],\n [0, 0, 0, 0, 4, -17, 7, -1, -12],\n [0, 0, 0, 0, 0, 15, -22, -2... | 120 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-22, 9, -9, 8, -2, 6, -25, -18, 19],\n [0, 21, 14, -14, -14, 20, 21, -11, 15],\n [0, 0, 3, -4, 14, -5, 25, 12, -6],\n [0, 0, 0, -19, 2, 2, -22, -4, -14],\n [0, 0, 0, 0, -24, -2, 8, 1, 15],\n [0, 0, 0, 0, 0, -4, -1, -8, -... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 0, 13, -5, 23, 16, 17, 15, -17],\n [0, 11, 23, 15, -9, -2, -5, 25, 13],\n [0, 0, -13, -15, 20, -7, -15, -13, 20],\n [0, 0, 0, 18, -7, -14, -18, -18, 19],\n [0, 0, 0, 0, 0, 13, 2, -21, -18],\n [0, 0, 0, 0, 0, 19, 21, -3, 23],\... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, 19, -19, 2, -8, -2, -16, 16, -20],\n [19, 2, -16, -16, -12, 10, -11, 6, 12],\n [-19, -16, 4, 16, -13, -13, 16, -4, -8],\n [2, -16, 16, -11, 6, 12, -8, 10, -10],\n [-8, -12, -13, 6, 2, 0, 16, 2, 16],\... | 61 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, 2, 9, 17, 21, 5, 1, -15, 23],\n [0, 12, -21, -18, 8, 22, -14, 12, -25],\n [0, 0, 23, 19, 24, -21, 4, -2, -23],\n [0, 0, 0, 0, 1, 20, 17, 1, 16],\n [0, 0, 0, 0, 4, 16, 11, 11, 16],\n [0, 0, 0, 0, 0, -8, -17, 23, 3],\n [0,... | 82 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[18, -4, 14, -16, -1, -16, 12, -9, 14],\n [-4, 9, -10, 12, 14, -10, 16, 12, -10],\n [14, -10, 14, -12, 10, 4, 14, 5, -2],\n [-16, 12, -12, -9, -2, 15, 6, -5, 0],\n [-1, 14, 10, -2, -5, -14, 10, 2, -10],\n [-16, -10, 4, 15... | 56 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-19, 21, 15, 20, -10, -9, 9, -13, 6],\n [21, 7, 13, -20, 1, 18, -6, -23, -12],\n [15, 13, 5, -13, 14, 10, -14, 6, -13],\n [20, -20, -13, 16, 0, -14, -12, -8, 10],\n [-10, 1, 14, 0, 21, 6, 2, 0, -6],\n [-9... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, -11, -18, 8, 5, 2, 4, -10, 10],\n [-11, -24, 7, -10, -2, 11, 7, 4, -20],\n [-18, 7, -13, 11, 0, -4, 8, -20, -2],\n [8, -10, 11, 3, 3, -2, -2, -8, 0],\n [5, -2, 0, 3, -7, 4, -3, -4, 7],\n [2, 11, -4, ... | 50 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -8, 6, -4, 12, -9, -3, -2, 24],\n [0, 15, -20, -21, 18, 3, 2, -15, -25],\n [0, 0, -17, 1, 8, 18, -22, 10, -8],\n [0, 0, 0, -7, 23, -20, 22, -14, 25],\n [0, 0, 0, 0, 3, 7, 1, -1, -16],\n [0, 0, 0, ... | 79 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[18, 15, -19, 15, -13, -8, 11, -13, 10],\n [0, -24, -10, -17, -17, 12, -15, -4, 7],\n [0, 0, -3, 19, 19, 8, -17, -2, -18],\n [0, 0, 0, -23, 2, -20, 18, 18, -5],\n [0, 0, 0, 0, -5, 17, 9, -13, 23],\n [0, 0, 0, 0, 0, -13, 11, 12, -... | 24 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[2, -14, 1, 16, 21, 4, 15, 8, 11],\n [0, -19, 6, 6, -1, 7, -19, -14, -10],\n [0, 0, 10, -13, -19, 10, 21, 25, -17],\n [0, 0, 0, 7, -3, -1, -18, 19, -4],\n [0, 0, 0, 0, 15, 3, 8, 8, 2],\n [0, 0, 0, 0, 0, -22, 0, 14, -17],\n [... | 87 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[2, -5, 16, -15, 22, 20, 18, 4, 9],\n [-5, 15, 2, 22, -6, 21, 4, 0, 3],\n [16, 2, 7, 2, 8, 9, 6, -6, -1],\n [-15, 22, 2, -20, 8, 7, -3, -13, -8],\n [22, -6, 8, 8, -23, 6, -1, -6, -19],\n [20, 21, 9, 7, 6, -9, 1, -2, -18],\n ... | 256 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, -9, 17, 17, -10, -24, 8, -18, -13],\n [0, -18, 4, 6, 10, 21, 4, -25, 17],\n [0, 0, -6, -2, 24, -4, 3, -4, 18],\n [0, 0, 0, 10, 11, 2, 2, 16, 17],\n [0, 0, 0, 0, -24, -18, 22, 1, -4],\n [0, 0, 0, 0, 0, -13, 19, -16, 10... | 24 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, -19, -3, 5, -6, 12, 20, -14, -2],\n [-19, -15, 15, 8, -21, -3, -4, 8, 12],\n [-3, 15, 3, 2, -13, -6, 22, -4, -6],\n [5, 8, 2, -7, 4, -18, 11, -9, -12],\n [-6, -21, -13, 4, -22, 6, -3, 4, -2],\n [12, -3, -6, -18, 6, 22, -... | 271 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, 5, 15, -20, 11, -16, 14, -19, 13],\n [0, -5, -6, -23, 25, -4, 21, -22, 2],\n [0, 0, 25, 10, 21, 15, -21, -13, -3],\n [0, 0, 0, -1, 22, 1, 25, -12, 22],\n [0, 0, 0, 0, -4, -5, -5, -18, 23],\n [0,... | 115 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -4, -17, 0, 12, -2, -4, -18, -16],\n [-4, -6, -16, 7, 0, -20, 8, 20, -2],\n [-17, -16, -23, -4, -6, -6, -4, 2, 1],\n [0, 7, -4, 17, 6, 8, -11, -8, -11],\n [12, 0, -6, 6, -7, -15, 12, 10, 4],\n [-2, -2... | 73 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 15, -10, -14, -14, -8, -7, -12, -12],\n [15, -21, -1, -9, -9, -1, 9, 15, 8],\n [-10, -1, -21, -22, 1, -2, 14, -12, 12],\n [-14, -9, -22, -11, -6, -16, 10, 1, 8],\n [-14, -9, 1, -6, -16, -3, -8, -5, 2],\n [-8, -1, -2, -16, -3,... | 65 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 15, -6, 18, -7, -6, 9, 21, -24],\n [0, 8, -4, -23, -20, -11, 1, -16, -17],\n [0, 0, 22, -20, 15, 10, -24, 3, -22],\n [0, 0, 0, -1, -16, -11, -4, 25, 22],\n [0, 0, 0, 0, 4, -1, 19, 2, -25],\n [0, 0, 0, ... | 22 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, 8, -15, 1, 12, -1, 18, 6, 6],\n [8, 13, 20, -6, 4, 16, 22, 10, 14],\n [-15, 20, 22, 0, 17, 2, 13, -4, 2],\n [1, -6, 0, 4, 0, 0, 0, 11, -11],\n [12, 4, 17, 0, -16, 2, -7, 12, 4],\n [-1, 16, 2, 0, 2, -17, -18, 17, -12],\n [18,... | 57 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -24, 2, -1, -13, -6, -8, -4, 10],\n [-24, 12, 4, -14, 8, 12, -19, 20, -16],\n [2, 4, 24, -20, -12, 18, 0, -4, -2],\n [-1, -14, -20, -25, -12, 4, 13, 4, 9],\n [-13, 8, -12, -12, 19, 18, 12, -4, -5],\n [-6, 12, 18, 4, ... | 62 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[21, 1, 2, 1, -4, -4, 10, 0, 6],\n [1, 18, 4, 10, -3, -4, -4, -3, 20],\n [2, 4, 25, -5, -17, 18, 0, 12, -8],\n [1, 10, -5, -15, 2, 17, 14, -4, -15],\n [-4, -3, -17, 2, -17, 18, 5, 4, 8],\n [-4, -4, 18, 17, 18, -25, 12, 8,... | 58 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, -1, -23, -11, 3, 17, 6, 0, -10],\n [0, 2, -17, -25, 3, -4, -10, 15, 25],\n [0, 0, 15, -19, -12, 3, -7, -7, -24],\n [0, 0, 0, -23, -15, 20, 4, 14, -8],\n [0, 0, 0, 0, -18, -4, -20, -14, 21],\n [0, 0, 0, 0, 0, 19, -8, -24... | 140 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 10, -18, -17, 11, 22, 19, 13, 6],\n [0, 9, 11, -7, 18, 3, -19, 2, -17],\n [0, 0, 3, -9, -10, -3, 5, -23, -5],\n [0, 0, 0, 11, -4, 16, -14, 16, -13],\n [0, 0, 0, 0, 14, 19, -24, 4, 4],\n [0, 0, 0, 0, 0, -10, -9, 0, -24],\n [0,... | 19 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, 0, -16, -21, -1, -8, -6, 12, -4],\n [0, -6, -10, 3, -11, 0, -10, -2, 10],\n [-16, -10, 6, 14, -14, -8, 4, 14, 22],\n [-21, 3, 14, 14, -6, -9, 2, 4, 9],\n [-1, -11, -14, -6, 7, 9, 4, 5, 2],\n [-8, 0, -8, -9, 9, -16, 0, 8,... | 201 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, -8, -12, -5, -14, -6, -4, -13, 14],\n [-8, 17, -13, -15, 1, 8, -16, 23, 8],\n [-12, -13, -15, 22, 7, -10, -20, 0, 16],\n [-5, -15, 22, -22, 4, 6, -14, 2, 8],\n [-14, 1, 7, 4, -8, 8, -16, 0, -13],\n [... | 59 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -23, 2, 0, 4, -13, -13, -24, 11],\n [0, 12, -24, 10, 0, -15, -18, 18, 14],\n [0, 0, -6, -18, 3, 14, 0, 4, -9],\n [0, 0, 0, 17, -19, -10, 19, 21, 22],\n [0, 0, 0, 0, 9, 25, -6, 11, 16],\n [0, 0, 0, 0, 0, 5, 4, 20... | 102 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-18, 9, 14, -4, -1, -20, 10, -14, 2],\n [9, -16, 6, -11, 18, 8, 4, -2, 6],\n [14, 6, -4, -8, 12, -2, 2, 6, -4],\n [-4, -11, -8, -15, 0, 18, 16, -17, 2],\n [-1, 18, 12, 0, 9, 17, 4, -6, -11],\n [-20, 8, -2, 18, 17, 8, -2, 1, ... | 256 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[12, -7, -19, 9, 22, -8, -10, 13, -22],\n [0, 6, 14, -13, 19, -9, 23, 11, -20],\n [0, 0, 0, -12, 5, -22, 13, -18, -1],\n [0, 0, 0, 12, 2, 4, -23, 2, -23],\n [0, 0, 0, 0, 6, 12, -18, -18, -20],\n [0, 0, 0, ... | 14 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, 4, 16, 0, -18, -12, 4, 2, 10],\n [4, 23, -6, -3, -13, -3, 0, 2, 5],\n [16, -6, 6, 14, 10, 14, 12, 4, -5],\n [0, -3, 14, -5, 14, -12, 1, 9, -8],\n [-18, -13, 10, 14, -3, 6, -6, -16, 8],\n [-12, -3, 14, -12, 6, -1... | 238 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, 18, 12, 15, 16, -8, 6, 6, 4],\n [18, -15, 0, 24, -7, 0, -17, 0, 4],\n [12, 0, -9, -21, 4, 14, 13, -10, -2],\n [15, 24, -21, -4, 5, 8, -2, 4, -6],\n [16, -7, 4, 5, 20, 8, 10, 4, 4],\n [-8, 0, 14, 8, 8, 14, 12, 2, -2],\n [6, -... | 50 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -3, -18, 2, 1, 2, -10, 16, 2],\n [-3, 18, -2, -1, -2, 10, 0, 4, 3],\n [-18, -2, -22, -4, 21, 20, -12, -1, -10],\n [2, -1, -4, -1, -8, 22, 2, 9, -7],\n [1, -2, 21, -8, 20, 8, -4, -10, -19],\n [2, 10, 20, 22, 8, 21, 6, -1... | 265 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[25, -7, -5, -12, 18, -1, 17, -10, -6],\n [-7, 2, 2, 0, 2, -2, -12, 8, 1],\n [-5, 2, -14, -4, -11, 18, 0, 22, -22],\n [-12, 0, -4, -5, 5, -10, -2, 4, -6],\n [18, 2, -11, 5, -9, 5, -6, -7, 8],\n [-1, -2, 18, -10, 5, -20, 1... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, -2, 0, 12, -16, 0, 11, 17, -2],\n [-2, -9, 12, 2, 4, 14, -4, 11, 12],\n [0, 12, -2, -11, -14, -4, 18, -18, 11],\n [12, 2, -11, -20, -5, 8, 20, -1, 14],\n [-16, 4, -14, -5, -10, -22, -2, 2, 10],\n [0,... | 64 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-20, 6, 20, -16, -11, -8, -18, 7, 10],\n [6, -11, -4, 10, -12, 4, -12, 6, -2],\n [20, -4, 16, -11, 6, -10, 14, 0, -12],\n [-16, 10, -11, -21, 14, 2, -20, 15, -8],\n [-11, -12, 6, 14, -15, -10, 18, -12, -4... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, -15, -5, -5, -4, 19, -19, -9, -24],\n [0, 16, -8, -15, -10, 23, 25, -8, 9],\n [0, 0, -20, 18, 17, 21, 21, 22, 16],\n [0, 0, 0, 13, -24, 0, 1, 1, -11],\n [0, 0, 0, 0, 14, -14, -13, 17, -9],\n [0, 0, 0... | 21 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, 7, -14, 8, 0, -12, -2, -18, 12],\n [7, 19, 7, -7, 2, 2, 11, -10, 8],\n [-14, 7, 10, -12, -1, 4, 1, -6, -2],\n [8, -7, -12, -17, 8, -3, 10, -5, -12],\n [0, 2, -1, 8, -4, -8, 4, 4, -8],\n [-12, 2, 4, -3, -8, -19, -14, 0, 0],\n... | 46 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, 14, 1, 2, -2, 4, 13, -4, -8],\n [14, -25, 20, -10, -4, -2, -14, 8, -9],\n [1, 20, -7, -7, -6, 10, 9, 8, -4],\n [2, -10, -7, -23, 5, -6, 24, -24, 16],\n [-2, -4, -6, 5, 12, 8, 8, -4, 3],\n [4, -2, 10, -6, 8, 16, 11, 12, -... | 268 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, 0, 9, -10, -9, 6, 0, -18, 10],\n [0, -14, 0, 6, 0, 16, 2, -12, -4],\n [9, 0, 11, 6, 8, -11, -2, 3, -12],\n [-10, 6, 6, 10, 3, -16, -15, 8, 9],\n [-9, 0, 8, 3, -6, -15, -1, -17, -1],\n [6, 16, -11, -16, -15, -5, 2, 22, -8],\n... | 46 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 6, 2, -8, -12, 12, 8, 7, -1],\n [6, 14, -4, -6, 6, -23, 4, 11, 0],\n [2, -4, -4, -3, 10, -15, 4, -4, 0],\n [-8, -6, -3, -3, -2, -20, -5, 2, -8],\n [-12, 6, 10, -2, 9, -2, 14, -5, -19],\n [12, -23, -15, -20, -2, -6, -20, -20, ... | 54 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, 8, 3, -8, 2, 0, 8, 4, 22],\n [8, -3, 21, -14, 9, -2, 10, 0, 10],\n [3, 21, -14, 0, 4, -17, -2, 12, 20],\n [-8, -14, 0, 8, -4, -4, 0, 0, 7],\n [2, 9, 4, -4, 9, 0, -10, 20, -1],\n [0, -2, -17, -4, 0, 0, 1, 2, 4],\... | 210 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-7, -8, 18, -8, 6, -6, 6, -5, 1],\n [-8, -10, 16, -2, 8, 18, -14, 6, -5],\n [18, 16, 16, 6, 6, -2, -2, 9, -3],\n [-8, -2, 6, 23, 11, -19, -12, -8, 22],\n [6, 8, 6, 11, -25, -4, 9, -16, 6],\n [-6, 18, -2, -19, -4, -19, 14, 1... | 270 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-22, 7, -8, 0, -7, -24, 15, 4, 2],\n [7, -8, -10, -4, -6, 6, 4, 4, 7],\n [-8, -10, 18, -7, -10, 7, 0, 7, -9],\n [0, -4, -7, 16, 1, -12, 14, -8, 4],\n [-7, -6, -10, 1, -14, -10, 6, 6, -12],\n [-24, 6, 7, -12, -10, -19, 1, -1... | 233 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[25, 20, -12, 16, -13, -8, -6, 7, -15],\n [20, 6, -16, 0, 7, 2, 9, 6, -12],\n [-12, -16, 2, 3, -8, -4, -12, 3, 20],\n [16, 0, 3, -7, -23, -15, -10, -12, 22],\n [-13, 7, -8, -23, 19, -16, 10, 6, -12],\n [-8, 2, -4, -15, -1... | 70 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, 12, -8, 8, -7, 6, -10, 16, -5],\n [12, -8, -2, 4, -10, 15, 15, -21, 8],\n [-8, -2, 2, -6, -12, 20, 10, 24, -8],\n [8, 4, -6, -10, -4, 4, 6, 10, 6],\n [-7, -10, -12, -4, -8, 21, 6, -14, -7],\n [6, 15, 20, 4, 21, -13, 6, 9, 4]... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, 9, 14, -10, 12, -13, -3, -4, -10],\n [0, 22, 9, 19, 20, -18, 18, -4, -5],\n [0, 0, -5, -1, 15, -25, -20, -3, 25],\n [0, 0, 0, -3, 6, 4, -13, 17, -8],\n [0, 0, 0, 0, 13, -3, 1, 19, 18],\n [0, 0, 0, 0, 0... | 25 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-15, 12, -20, 19, -15, -12, -24, 14, -23],\n [0, 7, -2, -7, -8, 23, -2, 19, 9],\n [0, 0, -1, 19, 23, 17, 8, -1, -10],\n [0, 0, 0, -3, -7, -1, -10, 25, -17],\n [0, 0, 0, 0, 8, -10, 18, 14, -8],\n [0, 0, 0, 0, 0, -20, 6, 15, 22],\... | 20 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[21, -4, 7, -16, -17, 17, 0, -12, 7],\n [-4, -18, -4, -1, 10, -13, -10, 3, -2],\n [7, -4, -13, 4, 6, 2, 10, -13, 3],\n [-16, -1, 4, 13, -4, -6, -6, -2, -2],\n [-17, 10, 6, -4, 5, -1, -5, 20, 3],\n [17, -13, 2, -6, -1, -13, 4, -10... | 55 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[23, -6, -1, 10, -4, 14, 0, -14, 8],\n [-6, -7, 13, -9, 2, -16, -22, 1, -16],\n [-1, 13, -1, 0, 5, 8, 0, -22, 10],\n [10, -9, 0, -2, -14, -3, 4, 4, 4],\n [-4, 2, 5, -14, 25, 11, 0, -8, 18],\n [14, -16, 8, -3, 11, 6, 2, -4, -4],\n... | 52 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[9, 22, -21, 22, 6, -23, 21, 9, -12],\n [0, 5, 5, -9, -2, -3, -8, 24, -12],\n [0, 0, -11, -20, 1, -11, 24, 10, -18],\n [0, 0, 0, -13, 15, 8, -2, 14, 6],\n [0, 0, 0, 0, -25, 8, -11, 18, -12],\n [0, 0, 0, 0,... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 12, -2, -20, -2, 1, 6, 25, 14],\n [12, 14, -10, -23, 11, -14, -3, 10, -5],\n [-2, -10, -4, 8, 5, 18, 18, 8, -6],\n [-20, -23, 8, -25, 0, -3, -4, -15, -12],\n [-2, 11, 5, 0, 16, 6, 13, -22, -16],\n [1, -14, 18, -... | 305 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, 10, 12, -8, -6, 5, -20, 6, 4],\n [10, -20, -4, -8, 2, 16, -12, -18, 20],\n [12, -4, 21, -12, 8, -4, 6, 11, -3],\n [-8, -8, -12, 3, 8, -4, -2, 11, -14],\n [-6, 2, 8, 8, -9, 2, 0, -2, -10],\n [5, 16, -4, -4, 2, 18, -8, 0, ... | 252 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, 6, 12, -2, -6, -2, -10, -19, -3],\n [6, -24, 0, 16, -4, 0, -18, -22, 1],\n [12, 0, -6, -14, 14, -12, -5, -1, -20],\n [-2, 16, -14, -3, -6, 0, -8, -3, 16],\n [-6, -4, 14, -6, 10, 4, 4, -14, -20],\n [-2, 0, -12, 0, 4, -12,... | 249 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, -5, -9, 7, -16, 25, 21, 16, 25],\n [0, -10, 15, 6, -11, 1, 2, -9, 20],\n [0, 0, 10, 24, -19, -13, -11, -1, -3],\n [0, 0, 0, -15, -16, -1, 11, 22, 17],\n [0, 0, 0, 0, 14, 20, 7, -9, -2],\n [0, 0, 0, 0, 0, -22, -9, -9, 24]... | 108 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 12, 10, 4, -4, -19, -4, 0, -16],\n [12, 11, 8, 9, -9, 11, -10, 0, 10],\n [10, 8, -8, 6, -6, -12, -2, 2, -11],\n [4, 9, 6, -14, 2, -20, 6, 2, -12],\n [-4, -9, -6, 2, 20, 5, 0, -2, -7],\n [-19, 11, -12,... | 45 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 6, -2, -18, 3, 12, 12, 8, -2],\n [6, 2, 4, -2, 17, -5, 14, -3, -10],\n [-2, 4, -3, 2, 1, -22, 8, -12, 8],\n [-18, -2, 2, -24, -2, -3, -14, -9, -4],\n [3, 17, 1, -2, 10, 9, -14, -18, 8],\n [12, -5, -22,... | 57 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, -12, -16, -14, 12, 18, 20, 8, 15],\n [0, -9, -9, -23, 5, 25, -25, -14, 13],\n [0, 0, -13, 8, 16, -5, -4, -22, -8],\n [0, 0, 0, -14, -9, -16, 8, -20, -18],\n [0, 0, 0, 0, -24, -18, -15, 10, -16],\n [0, 0, 0, 0, 0, 3,... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 16, 2, -2, -6, -14, -10, -4, -14],\n [16, -8, 9, 2, 4, 21, -4, 8, -15],\n [2, 9, 6, 10, 4, -2, -8, -5, 3],\n [-2, 2, 10, 5, -4, -2, 8, -6, -8],\n [-6, 4, 4, -4, 8, -1, 8, 18, 3],\n [-14, 21, -2, ... | 221 | MATH |
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