messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, -14, 2, -7, -4, 4, 16, 4, -5],\n [-14, 18, -8, -1, 4, 0, -2, -6, -17],\n [2, -8, 0, -6, 11, 4, 0, 5, 10],\n [-7, -1, -6, 11, -12, -6, -9, -1, 2],\n [-4, 4, 11, -12, 16, -12, 8, -6, 2],\n [4, 0, 4, -6, -12, -20, -... | 204 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 8, -6, 4, 6, -11, 10, 16, -23],\n [8, 20, 12, -14, -2, 6, 14, 6, 0],\n [-6, 12, 12, -2, -4, -16, 12, -8, 8],\n [4, -14, -2, -11, -5, -2, -3, 10, -4],\n [6, -2, -4, -5, 5, 1, -11, 2, 0],\n [-11, 6, -16, -2, 1, 11... | 229 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[20, 16, 13, 0, 23, 12, -3, -4, -22],\n [0, -17, -22, -19, -3, -24, 23, -2, 14],\n [0, 0, 5, 21, 14, 22, 25, 17, 8],\n [0, 0, 0, -10, 21, -13, -11, 1, -22],\n [0, 0, 0, 0, 10, -23, -4, 23, -4],\n [0, 0, 0, 0, 0, -22, 5, 1... | 22 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, -24, -21, -16, 6, 16, 15, -13, 13],\n [0, -16, -16, 12, 1, 25, -5, -18, -25],\n [0, 0, 13, -12, -5, 4, -5, 23, -17],\n [0, 0, 0, 14, 12, 17, -7, 10, 24],\n [0, 0, 0, 0, 3, 17, 23, 10, 18],\n [0, 0, 0, 0, 0, 1, -5, 2, -10],\n ... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 2, 18, 0, 4, 10, 6, -12, 17],\n [2, 23, 6, -13, 5, -10, -7, -8, -12],\n [18, 6, -6, -19, -16, -8, 4, -24, 6],\n [0, -13, -19, 13, 2, -20, -8, 1, 2],\n [4, 5, -16, 2, -1, 2, -2, -4, -2],\n [10, -10, -8... | 57 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 19, -25, -16, 21, 6, 13, -4, -8],\n [0, 20, 6, 1, 2, -8, 13, 23, 3],\n [0, 0, -18, 5, 8, -19, 10, -8, 12],\n [0, 0, 0, -18, 25, 9, -8, -21, -12],\n [0, 0, 0, 0, -6, -1, 2, -14, -24],\n [0, 0, 0, 0, 0, 22, -6, 12, -22... | 25 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[13, -2, -12, 2, 2, 8, 24, -2, 4],\n [-2, -12, -12, 6, -5, 18, 8, -18, -4],\n [-12, -12, -16, 0, -8, -18, 4, 12, -16],\n [2, 6, 0, -22, -16, 6, 8, -14, -16],\n [2, -5, -8, -16, -17, 5, -7, -8, -14],\n [8, 18, -18, 6, 5, -... | 62 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, 15, -16, 12, -19, -8, 0, -2, 13],\n [15, -13, 17, 14, -17, -16, -18, -6, 3],\n [-16, 17, 9, -23, -3, 6, -2, -4, -2],\n [12, 14, -23, -18, 6, -12, -2, 2, 15],\n [-19, -17, -3, 6, -6, 14, 10, -2, 2],\n [-8, -16, 6, -12, 14... | 270 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[16, 15, 16, -14, 2, -8, -8, 16, 4],\n [15, 2, -2, 10, -6, -4, 2, -14, 10],\n [16, -2, -6, 10, 12, 4, 12, -12, 6],\n [-14, 10, 10, 12, -8, -9, 7, 8, -8],\n [2, -6, 12, -8, -7, -5, 12, 17, -5],\n [-8, -4, 4... | 61 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -21, -17, -24, 8, 12, 5, -16, 24],\n [0, 10, -5, 23, 21, -20, 22, 23, -23],\n [0, 0, 20, 0, -5, 19, 0, 12, 18],\n [0, 0, 0, -11, -10, -25, -10, 11, -23],\n [0, 0, 0, 0, 17, -5, -24, 1, 12],\n [0, 0, 0, 0, 0, -1... | 141 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[14, 5, 4, 14, -12, 7, 17, 13, -12],\n [5, -17, 2, 4, -8, -2, -2, 1, -1],\n [4, 2, 2, -2, -10, -10, -23, 18, -10],\n [14, 4, -2, 1, 18, -19, -13, -16, -8],\n [-12, -8, -10, 18, -1, -14, -14, -11, -8],\n [7, -2, -10, -19, ... | 61 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, -18, -12, 3, 6, 0, -6, 14, 0],\n [-18, -11, -8, 19, -16, 12, -16, 10, -10],\n [-12, -8, -8, -8, -6, 8, 4, 17, -4],\n [3, 19, -8, -14, -2, 5, -12, 8, -6],\n [6, -16, -6, -2, -19, -10, -22, -14, 10],\n [0, 12, 8, 5, -10, ... | 286 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, 3, 0, -5, -9, -10, 5, 25, -17],\n [0, -12, 23, 11, -24, 22, 20, -12, 7],\n [0, 0, 21, 25, -6, -24, 25, 15, -7],\n [0, 0, 0, -22, -14, 3, -19, -12, -14],\n [0, 0, 0, 0, 6, -16, 17, -9, -21],\n [0, 0, 0, 0, 0, 10, 10, -8, ... | 118 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 22, -1, 12, -13, -22, -12, 7, 2],\n [0, -18, 18, 8, 18, -21, -21, 5, 19],\n [0, 0, 6, 7, -23, 4, 24, -14, 3],\n [0, 0, 0, -17, 0, -24, -23, 20, -22],\n [0, 0, 0, 0, 18, 9, -3, -17, -24],\n [0, 0, 0, 0... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, 2, -7, -4, 6, 2, 11, 12, -7],\n [2, 24, 16, 2, -2, 2, 0, 0, 6],\n [-7, 16, -1, 4, -3, -17, 6, -10, 3],\n [-4, 2, 4, 6, 4, 0, -4, 16, 12],\n [6, -2, -3, 4, -7, 8, -14, 12, 10],\n [2, 2, -17, 0, 8, -14, ... | 45 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-24, 12, -12, 8, 4, 10, 4, -12, -16],\n [12, 15, -19, 12, -16, 2, 8, -22, 0],\n [-12, -19, 0, -3, -12, -7, -14, -2, 22],\n [8, 12, -3, 14, 0, 8, -14, -2, 2],\n [4, -16, -12, 0, -1, -16, -6, 14, 15],\n [10, 2, -7, 8, -16, 22, 0, -... | 68 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-15, 18, -10, 4, 8, 4, 0, 8, 13],\n [18, -10, -2, 22, -10, 8, -14, 10, 11],\n [-10, -2, 5, 0, 4, 7, 4, -24, -5],\n [4, 22, 0, -23, 0, -16, -19, 5, 1],\n [8, -10, 4, 0, 16, -17, 0, 8, -6],\n [4, 8, 7, -16, -17, 13, -10, -... | 56 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[1, 6, -22, 0, 4, 4, -17, 20, 10],\n [6, -6, 14, 8, 18, 3, -2, 12, -6],\n [-22, 14, -23, 3, -19, 4, -2, -15, 2],\n [0, 8, 3, 25, 15, -8, 8, -4, 16],\n [4, 18, -19, 15, -23, 9, 2, 2, -12],\n [4, 3, 4, -8, 9, -6, 5, 10, -9]... | 61 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, 0, 11, -2, -2, -6, -2, -16, 4],\n [0, 0, -6, -2, -6, 0, -13, 16, 8],\n [11, -6, -9, 5, 0, 0, -6, -4, 8],\n [-2, -2, 5, -13, 0, -4, 5, 10, 2],\n [-2, -6, 0, 0, 6, -5, -4, -6, -7],\n [-6, 0, 0, -4, -5, ... | 44 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 6, -2, 0, 2, 10, -3, -6, 2],\n [6, 7, -12, 8, -10, 0, -4, 4, 3],\n [-2, -12, -12, -14, 13, 0, 2, -3, 2],\n [0, 8, -14, -12, 3, 13, 22, 2, 18],\n [2, -10, 13, 3, 20, -6, 16, 8, -20],\n [10, 0, 0, 13, -6, -7, 8, 6, 2],\n ... | 204 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, 8, 3, 6, 10, -14, -8, -18, -10],\n [8, -15, -2, -4, 21, -15, 4, -7, -7],\n [3, -2, 18, -10, -8, -2, 6, -6, -12],\n [6, -4, -10, -16, 20, 7, -8, 16, 1],\n [10, 21, -8, 20, -3, -2, -2, -18, -8],\n [-14, -15, -2, 7, -2, 11, 0, ... | 60 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -8, -4, 17, -8, 20, 3, -3, 8],\n [-8, -2, 4, -10, 14, 14, 9, 12, -10],\n [-4, 4, -2, -14, -3, 0, -16, 15, 10],\n [17, -10, -14, -5, 0, -18, 4, 14, 16],\n [-8, 14, -3, 0, -12, -4, 12, 0, -10],\n [20, 14, 0, -18, -4, 10, -10, -... | 52 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 18, 5, 21, 16, -6, -7, 22, -15],\n [0, -23, -3, -19, -3, -19, 20, 8, 16],\n [0, 0, 22, 25, -8, 15, 22, 19, 16],\n [0, 0, 0, -1, -7, 13, -11, -10, 1],\n [0, 0, 0, 0, -7, 2, -5, 21, -12],\n [0, 0, 0, 0, 0, -4, -23, 11, 15... | 118 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[19, -7, 6, 1, -25, 17, 7, 14, 6],\n [0, -9, -18, 16, 8, -17, -3, 9, 24],\n [0, 0, -6, 24, -1, -23, 20, -2, 8],\n [0, 0, 0, 22, -18, 13, 17, 9, 23],\n [0, 0, 0, 0, 1, 2, 14, 8, 6],\n [0, 0, 0, 0, 0, 20, -10, 3, -17],\n [0... | 23 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, -18, -6, 0, 4, -12, 1, 10, -7],\n [-18, 4, -12, -5, 3, 5, 10, 20, 10],\n [-6, -12, -19, 4, -5, -6, 0, -4, 15],\n [0, -5, 4, 16, 16, 12, 15, -8, -3],\n [4, 3, -5, 16, -1, 0, 2, -5, -18],\n [-12, 5, -6, 12, 0, 1, 0, -4, 8],\n [... | 50 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 16, 14, 2, 12, -2, -5, 16, 9],\n [16, 24, -9, -8, 2, -5, 0, 0, 4],\n [14, -9, 22, 22, 2, 2, -14, -6, 0],\n [2, -8, 22, -6, 2, 2, -2, -8, -16],\n [12, 2, 2, 2, 10, 8, -8, 0, -6],\n [-2, -5, 2, 2, 8, 22, 2, 2, -10],\n [-5,... | 210 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-17, 8, -1, 16, 2, -6, 2, 8, 5],\n [8, 11, 24, 1, -10, -1, -1, 15, 18],\n [-1, 24, -19, 16, -6, 2, -2, -4, -5],\n [16, 1, 16, 23, 18, 15, 9, 6, 4],\n [2, -10, -6, 18, 18, -10, 4, -5, 10],\n [-6, -1, 2, 15, -10, 15, ... | 252 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[20, -4, 3, 13, -10, 10, 4, 5, -13],\n [-4, -9, -6, 8, -7, 10, -14, -13, -18],\n [3, -6, 9, -4, 6, -10, -9, 6, 5],\n [13, 8, -4, -2, -12, -4, 2, -4, -8],\n [-10, -7, 6, -12, 5, -10, 3, -6, 1],\n [10, 10, -10, -4, -10, -24, -14, -... | 48 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, -1, -1, 2, 2, -4, -11, -2, 0],\n [-1, 25, -4, -8, -20, 0, 2, -8, -14],\n [-1, -4, -6, -2, -14, -4, 2, -6, 12],\n [2, -8, -2, 3, -6, 12, 10, -8, 10],\n [2, -20, -14, -6, -22, 2, -15, 1, -6],\n [-4, 0, -4, 12, 2, 7, -9, -7, -1... | 44 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, 5, 1, 8, -6, 5, 20, 24, 10],\n [5, 22, 6, -17, -9, 9, -11, 15, -6],\n [1, 6, -5, 4, -16, -16, 14, -18, -16],\n [8, -17, 4, -2, -17, 21, 4, -7, 12],\n [-6, -9, -16, -17, 24, -3, 0, 4, 7],\n [5, 9... | 291 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 0, 10, -4, -24, -10, -13, -2, 10],\n [0, 12, 10, 14, 10, -14, -6, -9, -2],\n [10, 10, -24, 15, -6, -8, 11, 6, -4],\n [-4, 14, 15, -21, -9, -10, -2, -2, -8],\n [-24, 10, -6, -9, -5, 2, -16, -20, 4],\n [-10, -14, -8, -10,... | 262 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-23, -16, 16, -12, -14, 21, 16, 4, 6],\n [0, 16, 6, 0, 25, -25, 16, -24, -9],\n [0, 0, -19, 1, -17, -4, 8, 20, 23],\n [0, 0, 0, -7, 10, 14, 19, -22, -17],\n [0, 0, 0, 0, 16, 17, 13, -17, -20],\n [0, ... | 130 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[7, -6, -10, -8, 6, 4, -2, -25, 16],\n [-6, -17, 1, 6, -2, -10, 16, 4, 12],\n [-10, 1, -3, 12, 4, -10, 13, -12, 14],\n [-8, 6, 12, 25, -5, 0, 4, -8, 18],\n [6, -2, 4, -5, -11, -11, -4, 0, 14],\n [4, -10, -10, 0, -11, -14, -1... | 241 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, -13, -25, -21, -10, -11, 23, 2, 5],\n [0, 22, 19, 17, -9, 23, 8, -13, -12],\n [0, 0, 16, 6, 9, 5, -9, 21, -17],\n [0, 0, 0, -13, 24, -21, -20, 4, 5],\n [0, 0, 0, 0, -17, -24, 11, -25, -22],\n [0... | 165 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -4, -2, 10, -10, 5, -12, 16, -2],\n [-4, 0, -4, 3, 0, 18, 4, -1, -4],\n [-2, -4, -22, -10, 10, 10, 0, 3, -16],\n [10, 3, -10, 3, -10, 6, 6, 10, 14],\n [-10, 0, 10, -10, -1, -10, 10, -12, 0],\n [5, 18, 10, 6, -10... | 222 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-15, -12, 12, -14, 19, -9, -10, 9, -24],\n [0, 15, -23, 3, -8, -6, 21, -12, 8],\n [0, 0, 14, 16, -8, 4, -1, -7, -18],\n [0, 0, 0, -23, -23, 18, -4, -9, 10],\n [0, 0, 0, 0, 4, -5, -14, 11, 6],\n [0, 0, 0, 0, 0, -15, -18, -22,... | 129 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, -7, 23, -13, -13, 2, -24, -16, -4],\n [0, -17, 7, -12, 22, -6, -11, 6, 7],\n [0, 0, 4, -13, 21, 22, -10, -24, -9],\n [0, 0, 0, -23, -14, -6, -10, -12, -10],\n [0, 0, 0, 0, 7, 4, -14, -11, -8],\n [0, 0, 0, 0, 0, 19, -11, -19, ... | 23 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, -25, -4, -23, 12, -12, 10, -8, 21],\n [0, -8, -23, -16, 23, 13, 21, -25, 1],\n [0, 0, 23, -21, -19, -7, 3, -11, 9],\n [0, 0, 0, 4, -6, 11, -23, -17, 15],\n [0, 0, 0, 0, -3, -5, -10, -17, -13],\n [0, 0, 0, 0, 0, 10, ... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 4, -18, 1, 0, -11, -18, 15, -7],\n [4, 6, 19, -18, -2, -14, 0, -6, -22],\n [-18, 19, 9, -10, 8, -4, 0, 24, -8],\n [1, -18, -10, 20, -18, -12, -12, -5, -6],\n [0, -2, 8, -18, -12, 2, -7, 6, 4],\n ... | 280 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 15, 1, -17, 2, -25, -9, 5, 18],\n [0, 11, 3, -8, 21, 12, 13, 23, -20],\n [0, 0, -12, 18, -16, -6, -11, 5, -19],\n [0, 0, 0, 22, 13, 2, 4, 11, -23],\n [0, 0, 0, 0, 11, -14, -22, 21, -17],\n [0, 0, 0, 0, 0, 14, 18, -4... | 23 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-13, -17, 6, -6, 10, -4, 5, 12, -8],\n [-17, 6, -8, 1, -11, 16, 13, 6, 3],\n [6, -8, -5, 10, -2, -10, -8, 10, 6],\n [-6, 1, 10, -6, -6, 4, 9, -15, -9],\n [10, -11, -2, -6, -12, 2, 4, -14, 8],\n [-4, 16, -10, 4, 2, -7, 7,... | 50 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -25, 22, 13, -23, -22, 15, 11, 25],\n [0, -18, 12, 24, -7, 21, 0, 13, -16],\n [0, 0, 23, 15, -7, 4, -21, 5, -19],\n [0, 0, 0, -2, 8, -3, 22, 19, 14],\n [0, 0, 0, 0, 1, -15, -21, -9, -19],\n [0, 0... | 114 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[10, 24, -2, 1, 11, 12, 4, 1, 13],\n [0, 0, -25, -22, 3, -25, 17, 24, 20],\n [0, 0, -16, -9, 10, 21, 0, 22, -5],\n [0, 0, 0, -15, -20, -25, -20, -13, -4],\n [0, 0, 0, 0, 1, 24, -12, 21, -21],\n [0, 0, 0, 0, 0, 22, -1... | 95 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, -1, -25, 6, 16, 16, -23, 23, -7],\n [0, 3, 24, -24, -17, -9, 20, 10, -9],\n [0, 0, -6, 24, -23, 17, 24, -22, -9],\n [0, 0, 0, 16, -11, 7, -10, -15, -6],\n [0, 0, 0, 0, 8, -25, -2, -2, -17],\n [0, 0, 0, 0, 0, -1... | 112 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-15, 2, 4, 16, -2, 6, 5, -1, 16],\n [2, 11, 15, 16, -2, -3, -14, 7, -12],\n [4, 15, -7, 4, 2, -6, -10, 13, -10],\n [16, 16, 4, 11, -17, -9, 4, -2, 8],\n [-2, -2, 2, -17, -10, -6, 18, 12, 1],\n [6, -3, -6, -9, -6, -2, -4, 6,... | 218 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, -8, -6, -4, -3, 18, 14, -5, 16],\n [-8, 5, -12, -4, -16, -3, 14, 10, -14],\n [-6, -12, 13, -4, -22, 2, -20, -11, 8],\n [-4, -4, -4, 17, -22, 22, -2, 3, -20],\n [-3, -16, -22, -22, 2, 20, -22, -16, -6],\n [18, -3, 2, 22,... | 308 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 11, 17, 5, -5, 0, 15, 9, 12],\n [0, -15, 15, 3, 21, -23, -25, -7, 20],\n [0, 0, -12, 23, -12, 18, -10, 7, -13],\n [0, 0, 0, 25, 12, 13, 7, 7, 3],\n [0, 0, 0, 0, 5, -1, 22, 20, 7],\n [0, 0, 0, 0, 0, 5, -13, -23, 24],\... | 25 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, -24, 2, -2, 2, -17, -2, -4, 8],\n [-24, -22, 16, -8, 16, -8, -6, -4, 3],\n [2, 16, 0, -13, -10, -7, 11, -8, -11],\n [-2, -8, -13, 25, -12, 2, 6, 16, -15],\n [2, 16, -10, -12, 8, 1, 18, -13, -13],\n [-17, -8, -7, 2, ... | 67 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, -9, 2, 6, -7, -5, 6, -16, -8],\n [-9, 11, 8, -4, -6, 13, -16, -12, -9],\n [2, 8, 20, 4, 9, 14, 0, 11, -9],\n [6, -4, 4, -18, -5, 2, 8, -6, -4],\n [-7, -6, 9, -5, -10, -14, -8, -4, -2],\n [-5, 13, 14, 2, -14, -4, -14, -12, -2]... | 47 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, 7, 21, -8, 13, -10, -10, 21, 12],\n [0, -19, -12, 17, 22, -1, 6, 12, -4],\n [0, 0, -10, -14, -9, 11, 1, -1, -13],\n [0, 0, 0, 15, -23, 9, 7, -4, 24],\n [0, 0, 0, 0, 24, 3, 13, 1, 10],\n [0, 0, 0, 0, 0, -21, -12, -23, -3],... | 145 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -18, -14, 3, 5, -4, -3, -10, 6],\n [-18, -21, -16, 12, -5, -20, -4, -2, 4],\n [-14, -16, -16, 5, 7, 0, -14, -4, 16],\n [3, 12, 5, -18, -2, 0, 14, -4, 2],\n [5, -5, 7, -2, -13, -18, 10, -4, -12],\n [-4, -20, 0, 0, -18, 1... | 209 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, 7, -21, 11, -12, 1, -3, -12, 14],\n [0, 13, -7, 21, -22, 4, -7, 5, 5],\n [0, 0, -12, 20, -16, 22, 5, 11, -3],\n [0, 0, 0, -24, 19, -13, 25, 24, -7],\n [0, 0, 0, 0, 22, 3, -24, 14, 12],\n [0, 0, 0, 0, 0, -18, -4, -22, -... | 157 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[16, -25, 10, -14, -17, 10, 15, 2, 12],\n [0, 16, 20, -4, -1, -8, -20, -8, -10],\n [0, 0, -18, -13, 17, -19, -9, 24, 6],\n [0, 0, 0, 21, -3, 3, -4, -25, 3],\n [0, 0, 0, 0, -7, 11, -19, 20, 9],\n [0, 0, 0, 0, 0, -18, 10, -... | 21 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, 15, 16, -13, 21, -14, -21, 11, 5],\n [0, 2, 4, -8, 18, 1, 9, 0, 13],\n [0, 0, -8, 7, -1, 5, 11, -24, 7],\n [0, 0, 0, 6, -8, -9, 8, 13, -19],\n [0, 0, 0, 0, 9, -15, 18, -22, -1],\n [0, 0, 0, 0, 0... | 103 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, 14, -20, -2, 23, -11, 16, 12, 6],\n [14, 5, 7, 16, 20, -11, -3, 12, 14],\n [-20, 7, -8, -4, -10, -8, 22, -4, 16],\n [-2, 16, -4, -23, -16, -8, 0, 11, 5],\n [23, 20, -10, -16, -20, 8, 11, -1, 12],\n [-11, -11, -8, -8, 8,... | 298 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-25, 8, 13, 5, 0, -6, -8, 8, 20],\n [8, 17, 9, -4, -23, 0, -11, -2, -20],\n [13, 9, -17, -8, -12, -12, 0, 20, -2],\n [5, -4, -8, -14, 14, 2, -8, 8, -3],\n [0, -23, -12, 14, 1, 20, 2, 15, -15],\n [-6, 0, -... | 54 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 1, 8, -6, -2, -4, -10, 14, 13],\n [1, 4, 18, -9, 12, -8, 2, 14, -14],\n [8, 18, -21, 4, 10, 4, 8, -16, 0],\n [-6, -9, 4, 25, -4, -14, 10, -6, 14],\n [-2, 12, 10, -4, -11, -18, 0, -7, -4],\n [-4, -8, 4, -14, -18, -13, -1, 0, ... | 57 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -3, 22, -6, 19, -24, -2, 5, 1],\n [0, -12, -22, 23, -13, 10, 9, 18, -18],\n [0, 0, 5, -16, 18, -5, 16, -16, -3],\n [0, 0, 0, -16, 3, 15, 25, 20, 8],\n [0, 0, 0, 0, -20, -15, 18, -8, 25],\n [0, 0, 0, 0, 0, -23, -8, -2, 21],\n [... | 25 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, -20, -16, -22, 1, 9, -6, -2, -12],\n [-20, -22, 6, -4, 4, 20, -17, -22, 12],\n [-16, 6, -6, 6, 0, -4, 6, 12, -10],\n [-22, -4, 6, -4, -4, -3, -18, -6, 0],\n [1, 4, 0, -4, 24, -5, -8, -12, 18],\n [9, 20, -4, -3, -5, -16, -12,... | 65 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-12, -17, 6, 8, -15, 5, 8, -6, 0],\n [-17, 13, -16, 2, -7, 8, 10, -12, -2],\n [6, -16, 13, 20, -22, 8, 16, 6, 12],\n [8, 2, 20, 8, -20, 6, 0, 11, 1],\n [-15, -7, -22, -20, -17, -6, -13, -10, 0],\n [5, 8, 8, 6, -6, -20, 18, ... | 265 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 4, 4, -8, -12, -16, -7, -12, -3],\n [4, -7, -10, -17, 2, -4, 18, 6, -2],\n [4, -10, 21, 0, -8, 4, -8, -16, 14],\n [-8, -17, 0, 5, -19, -14, 22, 0, -8],\n [-12, 2, -8, -19, -2, -2, -3, 8, 10],\n [-16, -... | 46 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-19, 4, 8, -6, -24, 11, 7, 7, 13],\n [4, -4, -20, -18, 4, 4, 0, -8, 14],\n [8, -20, -22, -8, -6, 0, -8, 6, 4],\n [-6, -18, -8, -11, -10, -4, -2, -2, 2],\n [-24, 4, -6, -10, 4, -14, 12, -6, 2],\n [11, 4, 0, -4, -14, -18, -4, -6, ... | 49 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 19, -2, -17, -19, -10, -7, 13, -20],\n [0, 25, -15, -14, 16, -13, -14, -5, -16],\n [0, 0, 10, 2, -2, -21, 11, -14, 9],\n [0, 0, 0, 15, 19, 13, 16, -17, -4],\n [0, 0, 0, 0, 18, -4, 12, 25, -7],\n [... | 138 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-12, 19, 16, 24, -22, -18, -2, -15, -9],\n [0, -5, 0, 17, 22, 18, 19, 1, -10],\n [0, 0, 5, 22, 21, -20, 18, -18, -19],\n [0, 0, 0, -10, 17, -17, -16, -9, -14],\n [0, 0, 0, 0, 3, -20, -1, -2, -1],\n [0, 0,... | 25 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[19, -3, 22, 4, -7, 20, 2, 0, -10],\n [-3, 18, -9, 0, -6, 15, 12, 4, -16],\n [22, -9, -2, 4, 3, -8, 4, -6, 14],\n [4, 0, 4, 3, 0, 0, -2, 8, 4],\n [-7, -6, 3, 0, -20, 3, 0, 6, -14],\n [20, 15, -8, 0, 3, 18, 18, -6, -8],\n [2, 12, 4... | 57 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, 6, -2, 2, -12, 19, -23, 10, 1],\n [0, 21, -11, 1, 19, 15, 2, -1, 16],\n [0, 0, 7, 20, -12, -18, 22, -12, -25],\n [0, 0, 0, -11, -2, 23, 25, -13, -17],\n [0, 0, 0, 0, -10, -18, 3, -3, 19],\n [0, 0, 0, 0, 0, 13, 1, 21, -10... | 112 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, 11, -19, -18, 11, 15, -12, -14, 10],\n [0, -9, 14, 3, 1, -25, 8, -22, -2],\n [0, 0, -19, -25, 15, -23, 18, 25, -11],\n [0, 0, 0, 3, -20, 3, -9, -4, -2],\n [0, 0, 0, 0, -15, -19, 16, 13, -21],\n [0, 0, 0, 0, 0, -6, -11, -... | 105 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -16, -16, -2, -1, 2, 4, -4, -3],\n [-16, 12, -4, 8, 3, 16, -14, -5, 2],\n [-16, -4, 20, 7, 1, -8, 16, 20, -9],\n [-2, 8, 7, 23, -14, 2, -4, 4, -2],\n [-1, 3, 1, -14, 1, -12, -10, 16, -17],\n [2, 16, -8, 2, -12, -21, -22, ... | 272 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 5, 13, 8, -3, -12, -2, -12, 0],\n [5, -23, -6, -12, -9, -6, 18, 10, -2],\n [13, -6, -17, -2, -16, -6, 12, 6, 12],\n [8, -12, -2, -16, -2, 2, -12, -11, 4],\n [-3, -9, -16, -2, 21, -2, 0, -16, 1],\n [-12, -6, -6, 2, -2... | 51 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, -11, -15, 21, 0, -2, -13, 6, 11],\n [0, -13, -17, 23, 8, 11, 22, -19, -25],\n [0, 0, -15, 18, 25, 18, 18, -12, 8],\n [0, 0, 0, 0, -10, -16, 19, -24, 9],\n [0, 0, 0, 0, -18, -12, -16, -23, 12],\n [0, 0, 0, 0, 0, 20, -7, 2... | 90 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-22, 5, -14, 13, 7, 8, 4, 12, 7],\n [5, 7, -16, -20, -4, 3, 4, 4, -1],\n [-14, -16, 18, -11, -5, -2, 16, -1, -6],\n [13, -20, -11, 12, 6, 6, 8, 8, -13],\n [7, -4, -5, 6, 17, 4, 10, -3, 10],\n [8, 3, ... | 260 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-18, -17, -19, -12, 2, -24, 17, -18, -13],\n [0, 21, 2, 9, -3, 20, -11, -24, 25],\n [0, 0, -23, -21, -23, 21, -7, -24, 18],\n [0, 0, 0, 2, 1, -16, -23, 10, 12],\n [0, 0, 0, 0, 21, 4, -5, 4, 2],\n [0, 0, 0, 0, 0, -25, 11, -1... | 138 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[16, 10, 4, 14, -2, -7, -16, -6, 6],\n [10, 6, -2, 2, -2, 0, 17, 2, 0],\n [4, -2, -7, 8, -2, -1, 10, -2, 5],\n [14, 2, 8, -6, -11, -14, 6, 2, 4],\n [-2, -2, -2, -11, -19, 11, -8, -14, 15],\n [-7, 0, -1, -14, 11, 10, ... | 223 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 4, 23, 15, -13, 8, 10, 4, -1],\n [0, 10, -8, -21, -7, 16, -8, 6, -5],\n [0, 0, 23, -4, -13, -9, -17, -2, 18],\n [0, 0, 0, 11, -7, 2, 20, 15, 4],\n [0, 0, 0, 0, 20, -15, -12, -5, -18],\n [0, 0, 0, 0, 0, 9, -13, -14, 21],\n [0... | 23 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, 10, -7, -6, 10, 0, 18, 0, -18],\n [10, -18, -9, 11, 6, 6, 4, -7, 0],\n [-7, -9, 24, 18, 14, 5, 0, 8, -6],\n [-6, 11, 18, 0, 8, -12, 1, -2, -6],\n [10, 6, 14, 8, -1, 6, -17, 2, 2],\n [0, 6, 5, -12, 6, 11, -1, 1, 0],\n [18, 4,... | 49 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, -3, 14, 19, 25, -4, -21, 5, -13],\n [0, -6, 7, -10, 3, -3, -2, 8, -19],\n [0, 0, -22, 8, 16, -4, -21, 24, 16],\n [0, 0, 0, -17, 17, -1, -1, 23, -5],\n [0, 0, 0, 0, 17, -3, 23, -22, 3],\n [0, 0, 0, 0, 0, 7, 15, 18, 10],\n [0,... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, 0, 4, -7, 13, -4, 13, -10, -5],\n [0, 24, 6, -10, 14, -7, -6, -2, -17],\n [4, 6, -6, -5, 0, -12, 14, 16, -3],\n [-7, -10, -5, -25, -2, 7, -9, 2, -8],\n [13, 14, 0, -2, -3, -12, 24, -8, 4],\n [-4, -7, -12, 7, -12, 16, 0, 0... | 253 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[22, 9, -14, -5, -12, 3, 0, 6, 2],\n [9, 8, -14, -14, 4, 17, 6, -18, 6],\n [-14, -14, -8, 2, 15, -4, 14, 9, 0],\n [-5, -14, 2, 2, 6, 8, 0, 16, -12],\n [-12, 4, 15, 6, -17, 3, -6, -10, -6],\n [3, 17, -4, 8, 3, -19, 10, 4, -8],... | 249 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 5, -14, -22, 13, -22, -4, 11, 12],\n [5, 16, -12, 1, 6, -6, -12, -4, -1],\n [-14, -12, -21, -3, 0, -5, -18, 18, 2],\n [-22, 1, -3, 1, 13, -8, 8, 8, 3],\n [13, 6, 0, 13, 4, 4, 16, 11, 0],\n [-22, -6, -5, -8, 4, 22, -8, -2, -6]... | 56 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, 12, 16, -18, -4, 8, 24, 16, 2],\n [12, 16, -14, 0, -20, 18, 20, -8, -4],\n [16, -14, -1, 6, -7, 0, -18, -14, -4],\n [-18, 0, 6, 14, 5, 10, -5, 12, 6],\n [-4, -20, -7, 5, 10, -12, 21, -19, -12],\n [8, 18, 0, 10, -12, -23, -6, 1... | 67 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[1, -16, 0, -18, 6, -3, -8, 14, -2],\n [-16, 10, -8, 16, -16, -6, 19, -2, 12],\n [0, -8, -7, 17, 0, -2, -8, 16, 1],\n [-18, 16, 17, 6, 2, 8, 14, -2, 14],\n [6, -16, 0, 2, 18, 16, -7, -2, 14],\n [-3, -6, -2, 8, 16, -14, -1... | 60 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, -4, 12, 4, 6, -13, 14, 16, 14],\n [-4, -12, 2, 6, 4, -12, -2, 22, 10],\n [12, 2, 25, -2, -10, -4, 7, 12, 4],\n [4, 6, -2, 3, 6, -16, -3, -14, 7],\n [6, 4, -10, 6, -21, -16, -16, 20, 10],\n [-13, -12, -4, -16, -16, 11, 2,... | 251 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -10, -11, -21, -20, 12, -23, 22, -14],\n [0, 7, 10, 7, 5, -5, 1, 1, -18],\n [0, 0, 0, -24, -14, -4, -9, -19, 17],\n [0, 0, 0, 6, -15, -25, -1, 16, -2],\n [0, 0, 0, 0, 1, -8, 1, -4, -10],\n [0, 0, 0, 0, 0, -9, -10, -20, 25],\n... | 23 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 22, 6, -2, 13, -4, -12, -18, 4],\n [22, -15, -9, 6, -10, -7, -3, -18, 21],\n [6, -9, 23, 7, 2, -2, 6, 0, -4],\n [-2, 6, 7, -7, 23, 5, -7, -16, 0],\n [13, -10, 2, 23, 13, 7, 20, 1, 12],\n [-4, -7, -2, 5, 7, -14, 21, 4, 12]... | 263 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[13, -11, 14, 0, -13, 2, 22, 8, -2],\n [-11, 1, 0, 12, -10, 6, -11, 21, 2],\n [14, 0, -5, 13, 0, 18, -3, -2, -9],\n [0, 12, 13, -19, 8, 4, -9, -1, 0],\n [-13, -10, 0, 8, -20, 12, -14, -14, -11],\n [2, 6, 18, 4, 12, -1, 4, 8, -2],\... | 54 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[15, 1, 4, 1, -16, 11, -13, 18, 3],\n [1, -10, 3, -8, 9, 11, 7, 5, -8],\n [4, 3, 24, -3, -2, -8, 16, -14, -12],\n [1, -8, -3, 23, -14, -8, 1, 20, 0],\n [-16, 9, -2, -14, -4, 0, -10, 6, -7],\n [11, 11, -8, -8, 0, -19, 14, -2,... | 263 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[23, 2, -4, -4, 10, 7, 2, 0, 10],\n [2, 22, 4, -14, 6, 6, 8, -2, -2],\n [-4, 4, 24, -2, 10, -10, 15, 3, -7],\n [-4, -14, -2, -8, -9, -11, -6, -12, -7],\n [10, 6, 10, -9, 16, -14, 14, 17, 16],\n [7, 6, -10,... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 4, -5, 10, -4, -2, -10, -14, 10],\n [4, 24, 10, -19, -6, 4, -4, 2, -11],\n [-5, 10, -21, 10, 4, 4, 2, -13, 0],\n [10, -19, 10, 4, -12, 4, -2, 2, 7],\n [-4, -6, 4, -12, -11, 10, -18, -7, -22],\n [-2, 4,... | 47 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, -3, 20, 4, -5, -16, 17, -13, -14],\n [0, -22, 13, -2, 8, 13, 15, -21, -11],\n [0, 0, 25, 13, -18, 23, 19, -2, 2],\n [0, 0, 0, 8, -9, 11, 12, 0, -2],\n [0, 0, 0, 0, 25, 22, -13, 11, -23],\n [0, 0, 0, 0, 0, -4, -9, -22, 1... | 143 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -4, -13, -11, 12, 2, 12, -16, -2],\n [-4, -3, 4, -17, 2, 20, 20, -12, -2],\n [-13, 4, 21, 13, 16, -15, -10, -21, -8],\n [-11, -17, 13, -23, 8, -8, -2, 6, 4],\n [12, 2, 16, 8, 7, -2, -8, -6, -15],\n [2... | 53 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, -18, -1, -14, 6, 17, -14, -2, -10],\n [-18, 25, 10, 0, 11, 3, 20, -22, 4],\n [-1, 10, -19, 2, 8, -1, 9, -10, 6],\n [-14, 0, 2, -16, -8, 10, -14, 3, -14],\n [6, 11, 8, -8, 24, -2, -19, -10, 11],\n [17, 3, -1, 10, ... | 272 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-18, 0, -6, -12, 2, 14, -6, -4, 4],\n [0, -13, 16, -14, -14, 17, 18, 1, -20],\n [-6, 16, -23, -20, -3, 2, 2, -11, -16],\n [-12, -14, -20, -17, -6, -3, 3, 2, -2],\n [2, -14, -3, -6, -20, -6, 12, 10, -6],\n [14, 17, 2... | 236 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, -12, -2, -18, -18, 6, 14, -23, -8],\n [-12, 4, 4, -15, 12, -14, -6, -3, 2],\n [-2, 4, -19, -1, -18, -14, 0, 6, 0],\n [-18, -15, -1, 6, 0, 3, 16, 4, 3],\n [-18, 12, -18, 0, -22, 18, -7, 4, -2],\n [6, -14, -14, 3, ... | 263 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 0, 4, 18, 8, -16, -13, -7, -6],\n [0, -19, 20, 18, 3, 4, 4, -12, -16],\n [4, 20, -20, 11, 6, 3, 12, -10, 0],\n [18, 18, 11, -12, 2, -8, 12, -4, -6],\n [8, 3, 6, 2, -7, -2, 1, 4, -16],\n [-16, 4, ... | 266 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-17, 12, -4, 16, 0, 12, -10, 22, -9],\n [12, -14, -2, 2, -8, 6, -4, 12, -7],\n [-4, -2, 12, -14, -3, 4, -2, -12, -13],\n [16, 2, -14, 24, 16, 8, -6, -7, 16],\n [0, -8, -3, 16, -10, 10, 6, 4, -12],\n [12, ... | 54 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 4, 0, 6, -8, 6, 8, 7, -12],\n [4, -3, -2, -4, 3, 12, -8, 18, -4],\n [0, -2, -24, 9, 14, 0, -2, 14, 6],\n [6, -4, 9, -21, 18, -11, 3, 10, -13],\n [-8, 3, 14, 18, -19, -14, 8, 0, 16],\n [6, 12, 0, -11, -... | 50 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, 24, 11, 22, -12, 1, -7, 5, 20],\n [0, 12, -9, -7, 18, -22, 22, -15, -4],\n [0, 0, -18, 20, 8, -15, 5, -15, 12],\n [0, 0, 0, -16, 0, 1, -18, 13, -18],\n [0, 0, 0, 0, -13, -3, -14, 1, -4],\n [0, 0, 0, 0... | 18 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[25, -6, 0, 2, 12, -7, -2, 16, 6],\n [-6, -7, 5, 0, 6, 4, 2, -2, 12],\n [0, 5, -13, -8, 3, -8, -12, 0, 0],\n [2, 0, -8, 19, 10, -10, -10, -2, 3],\n [12, 6, 3, 10, 1, -15, -16, 2, -1],\n [-7, 4, -8, -10, -1... | 49 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-13, -3, -6, -4, 21, -3, 15, 9, -23],\n [0, 7, 20, -9, 19, -7, 4, -3, -11],\n [0, 0, 13, 23, -8, -20, 6, -5, 14],\n [0, 0, 0, 7, -10, 13, -4, 17, 21],\n [0, 0, 0, 0, 15, 2, -19, -8, 15],\n [0, 0, 0, 0, 0, 4, -2, -6, 20],\n [0, 0... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, -12, 2, -10, -20, 11, -5, 4, 4],\n [-12, -7, 10, 10, 24, -16, -16, -4, -4],\n [2, 10, -24, 7, 2, -4, -9, -12, 9],\n [-10, 10, 7, 24, -3, 5, 18, 6, 20],\n [-20, 24, 2, -3, -16, 20, -17, -13, 15],... | 312 | MATH |
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