messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 0, 12, -18, -6, -6, 18, -2, 6],\n [0, -10, 20, -12, -1, -7, 12, 6, 14],\n [12, 20, 17, 0, 12, -18, -10, 12, 17],\n [-18, -12, 0, -15, 8, 14, -5, -4, -2],\n [-6, -1, 12, 8, 23, -5, 6, 12, -6],\n [-6, -7, -18, 14, -5, -... | 55 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-13, 21, -1, -1, -9, -14, 25, -15, -16],\n [0, 19, -10, -6, 23, -21, 15, 6, 1],\n [0, 0, 22, -19, 20, -12, 13, -2, 22],\n [0, 0, 0, 25, 14, -25, -9, 0, 25],\n [0, 0, 0, 0, 2, -5, 12, 7, 4],\n [0, 0, 0, 0, 0, 7, 17, 3, 5],\n ... | 119 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, -10, 12, 17, -24, -12, 0, 9, 4],\n [-10, 8, 16, -10, 10, 6, 17, 0, -8],\n [12, 16, -4, 9, -5, -20, -6, -10, 14],\n [17, -10, 9, -20, 12, -14, -4, 7, -7],\n [-24, 10, -5, 12, -8, -10, 22, -24, 4],\n [-12, 6, -20, -14, -10... | 286 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[18, 1, -9, -3, 10, 14, -5, 10, -6],\n [1, 22, 2, 4, 7, 1, 5, -2, -2],\n [-9, 2, -3, -8, -22, 4, 0, -2, 0],\n [-3, 4, -8, -5, 0, -2, -10, -6, 10],\n [10, 7, -22, 0, -4, -6, 1, -21, 6],\n [14, 1, 4, -2, -6, -12, 16, -18, 9],\n [-5... | 47 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, -10, 13, -16, 0, -17, 8, 14, 15],\n [-10, 19, -16, 10, 10, 13, 6, -22, -10],\n [13, -16, 5, -17, -18, -2, 24, 2, -6],\n [-16, 10, -17, -13, 4, -2, -2, 9, 0],\n [0, 10, -18, 4, 24, -4, 16, 2, 4],\n [-17, 13, -2, -2, -4, -23, ... | 63 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-23, -4, 6, -4, 20, -12, 13, -23, 2],\n [-4, -2, 10, 22, -2, 6, 6, 7, -5],\n [6, 10, 4, -14, -11, -1, -11, -4, 7],\n [-4, 22, -14, 13, 20, -22, -16, 12, -20],\n [20, -2, -11, 20, -25, 0, 6, -3, -2],\n [-1... | 56 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[16, 2, -8, -7, 5, 0, 4, -1, 1],\n [2, 14, -4, 14, 0, 16, 2, 22, -3],\n [-8, -4, -14, -6, 14, 4, 18, -10, -2],\n [-7, 14, -6, -9, 4, -3, -6, -4, -8],\n [5, 0, 14, 4, 1, 6, -15, 4, 2],\n [0, 16, 4, -3, 6, 4, 12, -4, 6],\n [4, 2, 1... | 47 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[0, -6, -6, 1, 12, -10, -1, 20, 12],\n [-6, -6, 5, -8, -23, 12, 0, 8, -19],\n [-6, 5, 13, 17, 2, 5, 10, -6, 18],\n [1, -8, 17, 0, 14, -2, -6, 2, -8],\n [12, -23, 2, 14, 21, 11, -8, 13, -6],\n [-10, 12, 5, -2, 11, 1, 11, 6, -... | 241 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-21, 14, 3, 14, 8, 14, 9, -14, -4],\n [14, -16, 16, -4, 12, -18, 0, -10, 16],\n [3, 16, 24, 10, -8, -24, -3, 9, -5],\n [14, -4, 10, -22, -2, -12, -17, -17, -1],\n [8, 12, -8, -2, 17, 2, -7, 1, -8],\n [14, -18, -24, -12, 2, -11, ... | 58 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -1, -7, 21, -6, -19, 0, 2, -12],\n [-1, -11, -5, -4, -10, -10, 10, 5, -4],\n [-7, -5, -21, -18, -14, 5, -17, -4, 8],\n [21, -4, -18, 3, -2, 4, -2, -12, 8],\n [-6, -10, -14, -2, -18, -2, 0, -3, 1... | 238 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 22, 0, 11, -9, 2, 3, -1, -3],\n [22, -11, -11, 7, -11, 6, -6, 4, -6],\n [0, -11, -19, -6, -3, -6, -4, -4, 14],\n [11, 7, -6, 8, -6, -3, 9, -2, 4],\n [-9, -11, -3, -6, 1, -18, 4, -7, 9],\n [2, 6, -6, -3, -18, -8, 0, 4, -14],\n... | 51 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, 7, 5, -1, 22, 14, -3, 12, -23],\n [0, -24, -3, 8, 4, 21, -16, -25, -4],\n [0, 0, -1, -4, -10, 4, -8, -2, -21],\n [0, 0, 0, 1, -14, -16, 8, 7, -10],\n [0, 0, 0, 0, 10, 1, -16, -16, -15],\n [0, 0, 0, 0, 0, -7, -1, -16, -... | 91 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, -7, 0, 1, 0, 18, 6, -4, -5],\n [-7, 7, 4, -24, 8, -8, 22, 9, 0],\n [0, 4, -17, -18, -8, -19, 4, -12, 6],\n [1, -24, -18, 20, -9, 19, -16, 2, 10],\n [0, 8, -8, -9, 2, 6, 4, 23, 0],\n [18, -8, -19, 19, 6, -5, 16, -7, -2... | 63 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -18, 20, -1, 16, 12, 22, 8, -5],\n [-18, -11, -4, -2, 2, -16, 0, -8, 9],\n [20, -4, 22, -3, 6, -14, -12, -8, 24],\n [-1, -2, -3, 24, -8, -14, -19, 5, -1],\n [16, 2, 6, -8, -11, -15, 18, 0, 7],\n [12, -16, -14, -14, -1... | 62 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -4, 0, -2, -8, 1, 6, -5, 7],\n [-4, -15, 0, -2, -8, -18, -6, 6, 7],\n [0, 0, 9, -9, 8, 8, 6, 2, -10],\n [-2, -2, -9, 11, -4, -5, -2, 18, -3],\n [-8, -8, 8, -4, 13, 4, 12, -16, -8],\n [1, -18, 8, -5, 4, -9, -14, 9, 16],... | 217 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-16, 0, -4, -7, -2, -10, -4, 6, 3],\n [0, 9, -12, 6, -20, 13, 15, -1, -9],\n [-4, -12, -4, 20, 4, 12, -6, 23, 20],\n [-7, 6, 20, 1, -16, 6, 10, 6, -5],\n [-2, -20, 4, -16, 7, 9, 10, 6, 4],\n [-10, 13, 12, 6, 9, 0, 11, -1... | 46 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 19, -16, 0, -18, -2, -4, -4, -18],\n [19, -3, -20, 2, -8, 4, 10, -11, -12],\n [-16, -20, -1, -2, 4, 4, 14, -13, -10],\n [0, 2, -2, 23, 8, 2, -3, 4, 25],\n [-18, -8, 4, 8, 11, -4, 2, -8, -4],\n [-2, 4, 4, 2, -4, 3, -6, -8, -10... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-22, 4, 13, -6, 2, 4, 17, -12, -20],\n [4, -3, 11, 0, 4, -18, -6, -2, -4],\n [13, 11, 22, 4, 13, -22, -6, 12, 2],\n [-6, 0, 4, 10, 8, 8, -5, -10, -17],\n [2, 4, 13, 8, 15, 7, -6, -4, 9],\n [4, -18, -22, 8... | 58 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-22, 6, -8, 17, -5, 0, -8, 8, 0],\n [6, 5, 12, 4, 6, 4, -4, -9, 8],\n [-8, 12, 0, 14, 6, 8, 12, 3, -17],\n [17, 4, 14, -17, 22, -20, 11, 6, 14],\n [-5, 6, 6, 22, 17, 1, -8, -6, 8],\n [0, 4, 8, -20, 1, -3, -4, -3, 8],\n [-8,... | 226 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[25, -6, 0, 15, -4, 12, 16, 12, 6],\n [-6, -20, -2, -2, 6, 18, 0, -14, -8],\n [0, -2, -5, 0, 0, 1, 4, 9, 14],\n [15, -2, 0, -25, 1, 8, 8, 3, -8],\n [-4, 6, 0, 1, -23, 12, 5, 1, -13],\n [12, 18, 1, 8, ... | 239 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[24, -22, -8, 8, 6, -14, -13, 8, 4],\n [-22, -18, -4, -1, 14, 2, 15, -7, -2],\n [-8, -4, -24, -16, 6, 2, -6, 16, 0],\n [8, -1, -16, -14, 24, -8, -13, -15, 14],\n [6, 14, 6, 24, -20, 4, 4, 14, 9],\n [-14, 2, 2, -8, 4, 20, ... | 62 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[19, 1, 2, 4, 3, 0, -16, 6, -5],\n [1, -25, -18, 0, -6, -3, 1, -5, 6],\n [2, -18, 20, -6, -6, -1, 19, 21, 2],\n [4, 0, -6, -3, -6, -14, 24, -16, -8],\n [3, -6, -6, -6, 7, -16, 10, 4, 12],\n [0, -3, -1, -14, -16, -19, -16, -4, 4],... | 49 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, 8, -10, 15, 7, -6, 4, 4, 1],\n [8, -22, 4, -8, -22, -2, -6, -2, 10],\n [-10, 4, 4, 10, 2, 8, 24, 0, 10],\n [15, -8, 10, -21, 4, 8, -23, -8, 9],\n [7, -22, 2, 4, 21, 4, 6, 4, 3],\n [-6, -2, 8, 8,... | 245 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, 0, 0, -5, -17, 3, 10, 8, 2],\n [0, 6, -8, 4, 9, 0, -6, -8, -14],\n [0, -8, 13, -1, -6, -4, -14, -1, 14],\n [-5, 4, -1, -23, -17, 4, -2, -2, -2],\n [-17, 9, -6, -17, -12, -2, -4, 2, -4],\n [3, 0,... | 206 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 7, 11, 6, 17, 10, 8, 23, -1],\n [0, 6, -24, -17, 12, 3, 12, -8, -4],\n [0, 0, -19, -13, 16, 10, -10, 15, -5],\n [0, 0, 0, -9, -25, -13, 10, 21, 16],\n [0, 0, 0, 0, -3, 16, -2, 23, -21],\n [0, 0, 0, 0, 0, -22, -3, -3, 23],\n ... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, 4, -8, -4, -4, 3, 8, -4, 1],\n [4, -3, -1, 12, 18, -20, -18, 11, 8],\n [-8, -1, -17, -2, 18, 4, -11, -10, -10],\n [-4, 12, -2, -19, 0, 5, 10, -12, -2],\n [-4, 18, 18, 0, -3, -8, 8, 22, 3],\n [3, -... | 231 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, -12, -2, 17, 5, 13, 2, -1, -7],\n [0, 8, 6, -1, -4, 2, 25, -8, -19],\n [0, 0, -15, -17, 9, 11, -3, 7, -25],\n [0, 0, 0, 0, 25, 12, -23, -5, -13],\n [0, 0, 0, 0, -23, 19, -24, -23, -6],\n [0, 0, 0, 0, 0, -1, 24, -25, 13]... | 67 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-21, -20, -16, 17, -24, -19, 20, -22, 11],\n [0, 2, -6, 4, 16, 12, -24, -23, 21],\n [0, 0, 13, -1, -24, 13, -11, -23, -21],\n [0, 0, 0, 25, 14, 12, 11, 1, -21],\n [0, 0, 0, 0, -14, 16, 5, 7, 17],\n [0, 0, 0, 0, 0, 14, 4, 21... | 135 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, -21, -20, 9, -10, 5, -8, -12, -1],\n [0, 0, 10, -15, 11, 15, 11, -19, -8],\n [0, 0, -24, 0, -3, 6, -13, -13, -9],\n [0, 0, 0, -9, 0, 12, -12, -12, -14],\n [0, 0, 0, 0, -1, 19, -22, 24, -10],\n [0, 0, 0, 0, 0, -9, -20... | 24 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, 8, 0, 21, -16, -3, -16, 11, 15],\n [8, 17, -4, 24, 18, -8, 10, 4, 6],\n [0, -4, -9, 11, -2, 10, -22, 0, -3],\n [21, 24, 11, -14, -2, 18, -11, 0, -2],\n [-16, 18, -2, -2, 23, 24, 12, 16, -16],\n [-3, -8, 10, 18, 24, 22, -14, ... | 67 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, -15, 5, 15, 10, 24, 0, -12, -18],\n [-15, 15, -16, 0, 6, 10, -4, 12, 0],\n [5, -16, 25, -1, -10, 15, 4, -14, -4],\n [15, 0, -1, -8, 5, 14, -9, 7, 4],\n [10, 6, -10, 5, -12, -12, -6, 4, 1],\n [24, 10, 15, 14, -12, 22, -15, -8... | 61 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, -10, -13, 4, 10, 2, 14, 11, -20],\n [-10, -10, -8, -7, 0, -10, -6, -7, 16],\n [-13, -8, 3, -5, -2, -8, -11, -5, 0],\n [4, -7, -5, -25, -8, 10, 2, 5, -14],\n [10, 0, -2, -8, 15, -12, -18, -4, 14],\... | 235 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 3, -24, 16, 6, -1, 8, 6, 10],\n [3, 6, -6, 8, -2, 4, 1, -2, 14],\n [-24, -6, 12, 8, 15, -9, -8, 4, -8],\n [16, 8, 8, -3, 4, -10, -12, -4, -5],\n [6, -2, 15, 4, 2, -4, 0, -15, -14],\n [-1, 4, -9, -10, -4, 6, 0, 16, 16]... | 56 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, 3, 4, 8, 8, 0, -20, -18, 10],\n [3, -7, -12, -22, 8, -7, 6, -14, 14],\n [4, -12, 2, 1, 1, 2, 12, 10, -2],\n [8, -22, 1, 18, -24, 10, -16, -8, 8],\n [8, 8, 1, -24, 12, 0, 8, -2, -6],\n [0, -7, 2, 10, 0, 20, -10, -17, 4... | 63 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, -14, 14, 2, -6, -6, 9, 10, 12],\n [-14, 18, 4, 0, -16, 10, -6, 6, -16],\n [14, 4, 6, 0, -14, -2, -5, 16, 6],\n [2, 0, 0, 19, -2, 1, 10, -6, -12],\n [-6, -16, -14, -2, 22, 0, 6, 6, -2],\n [-6, 10, -2, 1, 0, 0, -4, 5, -... | 51 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[20, 11, 12, 19, 19, -2, 12, 20, -15],\n [0, 19, 18, 22, 12, 15, -9, 22, 0],\n [0, 0, -8, -17, -23, -16, 17, -24, -18],\n [0, 0, 0, 5, -12, 13, 7, 3, 18],\n [0, 0, 0, 0, 6, 10, 20, 24, -3],\n [0, 0, 0, 0, 0, 14, 2, -1, -19],... | 123 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, 7, 0, -10, -17, -3, -11, -7, 16],\n [0, -1, 9, 25, -13, 20, -19, 8, -12],\n [0, 0, -9, -13, 1, -24, 11, 4, -22],\n [0, 0, 0, -15, 14, -3, 15, 22, 6],\n [0, 0, 0, 0, 22, -17, -14, -25, -10],\n [0, 0, 0, 0, 0, 7, 12, 15, 2... | 122 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[21, 19, -24, -6, -10, -12, -24, 23, -10],\n [0, 17, -13, 12, 23, -25, -17, -5, -8],\n [0, 0, 20, 8, -6, 17, -24, -22, 19],\n [0, 0, 0, -6, 9, -22, -6, 9, 7],\n [0, 0, 0, 0, 5, -4, 22, 4, 3],\n [0, 0, 0, 0, 0, 6, -13, -13, -12],\... | 21 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[20, -10, 14, -9, 1, 8, -1, 14, -10],\n [-10, 0, -6, -6, -5, 8, -9, -2, -6],\n [14, -6, 18, -10, -2, 2, -4, 8, -12],\n [-9, -6, -10, -1, 7, -4, -10, -12, 2],\n [1, -5, -2, 7, -14, -10, -14, 6, -2],\n ... | 185 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-18, 0, 13, 0, 10, -17, -10, -6, -21],\n [0, -25, 1, 10, -14, -4, -10, -5, 2],\n [13, 1, -3, 16, 0, -9, -4, 10, 14],\n [0, 10, 16, 10, -6, -16, 12, -6, -6],\n [10, -14, 0, -6, 16, -16, -2, 6, -3],\n [-17,... | 66 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 23, 16, -6, -6, -4, 12, -9, -1],\n [23, 25, 0, -12, -18, -2, 12, -8, 4],\n [16, 0, 8, -16, 12, -2, 0, 2, -7],\n [-6, -12, -16, -7, -1, -8, 12, 0, 1],\n [-6, -18, 12, -1, -10, 10, -10, 0, 0],\n [-4, -2, -2, -8, 10, 11... | 63 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 1, 2, 0, 8, -14, 4, 3, 0],\n [1, -24, -10, -4, -8, -8, -20, -15, -4],\n [2, -10, -13, 0, -10, 12, 4, 4, 0],\n [0, -4, 0, 15, 12, -16, -7, 10, 8],\n [8, -8, -10, 12, 12, -10, -8, 10, -17],\n [-14, -8, 12, -16, -10, 7, 12... | 235 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-24, -12, -16, 9, 12, 9, 20, 16, -7],\n [-12, -5, 10, -14, 7, -2, -6, 2, 0],\n [-16, 10, 23, 14, -18, 2, 4, -18, 10],\n [9, -14, 14, 2, 10, 16, -16, -6, 14],\n [12, 7, -18, 10, 15, -11, 3, 18, -20],\n [9, -2, 2, 16, -11, -17, 25... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, -3, 10, 14, 10, 18, 15, -10, -14],\n [-3, 2, 8, 6, 18, -22, -8, -10, 22],\n [10, 8, -11, -19, 22, -7, 13, -10, -9],\n [14, 6, -19, -15, -11, 8, 0, 6, 4],\n [10, 18, 22, -11, 24, 4, 1, 1, 4],\n [1... | 274 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 11, 2, 19, 6, 15, 1, -3, -16],\n [0, 15, -20, -2, -8, -16, -11, 19, 17],\n [0, 0, 24, 9, 1, -1, -23, -5, 13],\n [0, 0, 0, -17, 24, -25, -22, -22, 23],\n [0, 0, 0, 0, 19, 6, 15, -19, 18],\n [0, 0, 0, 0, 0, 6, 15,... | 112 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-11, -2, -18, 12, -12, 0, -8, -8, 0],\n [-2, 20, -18, 12, 11, -15, 0, 4, 0],\n [-18, -18, 9, -2, 5, -6, 4, -2, -18],\n [12, 12, -2, 3, 4, 1, -6, 1, -6],\n [-12, 11, 5, 4, -23, -6, 10, 12, 6],\n [0, -15, -6, 1, -6, 17, 6, 14,... | 254 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, -12, -7, 10, 6, -6, 10, 0, 2],\n [-12, -9, 8, 3, -2, -1, 0, -10, -8],\n [-7, 8, -9, -8, 1, 8, -22, 19, 11],\n [10, 3, -8, -23, -4, -10, 0, -1, -3],\n [6, -2, 1, -4, -13, -21, 8, -3, -18],\n [-6, -1, 8, -10, -21, 1, 0, -8... | 225 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 12, -8, -7, -2, -2, 0, 4, 0],\n [12, -24, -20, -1, -6, 23, 14, -1, -15],\n [-8, -20, 21, -22, 12, 6, -2, 4, 15],\n [-7, -1, -22, -23, 18, -6, 10, -1, 6],\n [-2, -6, 12, 18, 20, -10, 2, -22, 4],\n [-2, 23, 6, -6, -10, 5, 6, -7... | 51 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, 15, 7, 3, 22, -9, -13, -20, -24],\n [0, 6, 10, -17, -3, -19, 5, -5, -25],\n [0, 0, 14, -15, 11, -8, 18, -2, -7],\n [0, 0, 0, -24, -9, 19, -15, 11, -13],\n [0, 0, 0, 0, 17, -18, -16, -1, -15],\n [0, 0, 0, 0, 0, 1... | 107 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-3, -8, -2, 16, 3, 12, 12, -13, 6],\n [0, -9, -24, -8, 13, 1, -12, -11, -18],\n [0, 0, 17, 9, -12, 1, -18, 9, -8],\n [0, 0, 0, -18, 11, 18, -24, -9, -13],\n [0, 0, 0, 0, 1, -6, 12, -14, 16],\n [0, 0,... | 111 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 7, 7, -22, 4, 18, -11, 3, 2],\n [0, 10, 4, 16, 17, 12, 16, -14, -23],\n [0, 0, -16, -4, -3, -15, -10, 23, 20],\n [0, 0, 0, 16, -9, 5, 16, -16, 20],\n [0, 0, 0, 0, 13, -24, -22, -2, -8],\n [0, 0, 0... | 117 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, 10, 16, 16, 18, 19, -8, 3, -14],\n [10, -23, 4, 22, 6, -8, 6, 14, 6],\n [16, 4, 1, 8, -20, -18, -10, 5, 4],\n [16, 22, 8, -25, 0, -10, -8, -2, -2],\n [18, 6, -20, 0, -8, -7, 7, -6, 10],\n [19, -8, -18, -10, -7, 15, 18... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, 21, 3, 17, -2, 14, 6, 13, -14],\n [21, -7, -6, -14, -3, -6, 14, -2, -11],\n [3, -6, -16, 10, -2, 16, -16, 18, 21],\n [17, -14, 10, -3, -4, 5, 18, -1, -6],\n [-2, -3, -2, -4, -18, -9, 10, 0, -15],\n [14... | 65 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-21, 4, 22, -14, 2, -8, -10, 6, -16],\n [4, 11, 20, 2, 13, 5, 4, 2, -2],\n [22, 20, 9, 11, -15, -2, 20, -23, 2],\n [-14, 2, 11, 18, -10, 4, 16, 12, -4],\n [2, 13, -15, -10, 17, -4, -24, -19, -22],\n [-8, 5, -2, 4, -... | 279 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, 3, -22, 3, 2, 2, 4, 10, -10],\n [3, 2, -8, -11, -15, -6, -20, 2, 6],\n [-22, -8, -11, -3, -16, -6, 4, 3, -8],\n [3, -11, -3, -24, 4, 16, -10, 11, 3],\n [2, -15, -16, 4, 16, -11, 9, 2, 17],\n [2, -6, -6, 16, -11, -1, -14,... | 272 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, -9, -20, -14, -11, -9, -25, -12, -24],\n [0, -24, 0, 20, 24, 14, 7, 22, 13],\n [0, 0, -4, 1, -7, -16, -20, 0, 16],\n [0, 0, 0, -20, 23, 24, -16, 12, -13],\n [0, 0, 0, 0, 1, -18, -21, 10, 12],\n [0, 0, 0, 0, 0, -1... | 112 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[16, -2, -1, 7, 15, -14, 19, 6, -3],\n [-2, -10, -18, 14, -16, 8, 2, -6, -5],\n [-1, -18, -5, 4, 4, 7, 16, 0, -2],\n [7, 14, 4, -8, 0, -2, 12, -14, 11],\n [15, -16, 4, 0, 7, -10, 19, 6, -9],\n [-14, 8, 7, -2, -10, -11, 0,... | 66 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[13, -10, 7, 1, -25, 18, -10, -21, 20],\n [0, 15, 8, 18, -1, 16, 8, -11, -22],\n [0, 0, -1, 15, -13, 16, 20, -1, -23],\n [0, 0, 0, -12, -4, 22, -17, -2, -3],\n [0, 0, 0, 0, -12, -6, 13, 10, 1],\n [0, 0, 0, 0, 0, -7, ... | 99 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 16, 6, 17, 9, 23, -15, -9, 25],\n [0, -24, -2, 20, -11, 2, -23, 3, 19],\n [0, 0, -4, 5, -19, 22, 22, 0, 5],\n [0, 0, 0, 9, 7, -23, -7, -17, 20],\n [0, 0, 0, 0, -4, 22, -18, -2, 0],\n [0, 0, 0, 0, 0, 24... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -15, 14, 12, -15, 22, 4, -22, -24],\n [0, 13, -9, -3, 19, -16, -13, 16, 13],\n [0, 0, -10, -23, 10, -22, 10, -10, 15],\n [0, 0, 0, 10, -3, -14, 16, 5, -14],\n [0, 0, 0, 0, -7, -4, -2, 7, 10],\n [0, 0, 0, 0, 0, ... | 100 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-13, 10, 22, -17, 5, -22, -6, -18, 1],\n [0, -17, 17, -2, 11, 15, 14, 4, 0],\n [0, 0, -6, 2, 19, -2, 2, 2, -21],\n [0, 0, 0, 16, -10, -18, -14, 6, -1],\n [0, 0, 0, 0, 1, -4, 19, 12, 9],\n [0, 0, 0, 0, 0, ... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, 7, -3, -4, 7, 12, -8, 2, 8],\n [7, 6, -20, -11, 3, -10, -16, -4, 6],\n [-3, -20, 11, 10, 18, -6, -18, -22, -12],\n [-4, -11, 10, -16, -6, 2, 16, -16, 9],\n [7, 3, 18, -6, 22, -12, -16, 12, -23],\... | 275 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, -4, -5, -11, 21, 9, 2, 7, 4],\n [-4, -18, -19, -12, -18, -1, 7, -22, 18],\n [-5, -19, -20, 8, -18, -2, 7, -8, 12],\n [-11, -12, 8, 6, -10, -11, 2, 8, 2],\n [21, -18, -18, -10, -14, -18, 19, 0, 4],\n [9, -1, -2, -11, -18, 21, ... | 77 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, 22, 8, -2, 21, -15, 19, 10, -25],\n [0, -14, -5, -17, 13, -23, -10, -22, 0],\n [0, 0, -6, -7, 1, -24, -16, -1, -7],\n [0, 0, 0, 23, -2, -10, -9, -10, -8],\n [0, 0, 0, 0, 23, 5, -24, -24, -11],\n [0, 0, 0, 0, 0,... | 115 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, -16, -4, 2, -8, 22, -2, 9, 8],\n [-16, 20, 2, 12, 6, 4, 18, -8, 7],\n [-4, 2, -1, -4, 6, -13, -3, -11, 0],\n [2, 12, -4, -17, -2, -14, 8, 16, -9],\n [-8, 6, 6, -2, 7, -2, 10, 8, -15],\n [22, 4, -13, -14, -2, 6, -7, 1, 14],\n ... | 58 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[23, -19, 14, 16, -2, 9, -13, 23, -13],\n [0, -7, 3, -4, 15, -5, -10, 4, -21],\n [0, 0, -20, -5, 16, 24, -15, -2, 2],\n [0, 0, 0, 14, 25, 21, -7, 24, -9],\n [0, 0, 0, 0, 5, 16, 23, 21, -18],\n [0, 0, 0, 0, 0, 19, 7, ... | 130 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, -17, 0, 14, -4, -11, -12, 8, -2],\n [-17, 3, -1, 2, -15, 6, 4, 1, 14],\n [0, -1, -22, 8, -16, 8, 6, 10, -3],\n [14, 2, 8, 6, -7, -11, 0, 8, -8],\n [-4, -15, -16, -7, -19, -18, 18, -4, -10],\n [-1... | 251 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-25, 6, -2, 22, 16, -17, 24, -25, 16],\n [0, -16, 18, 17, 15, 4, -21, -22, 19],\n [0, 0, -25, 23, -11, -2, -11, 24, -20],\n [0, 0, 0, 13, 15, 8, 13, 6, 3],\n [0, 0, 0, 0, -2, -11, -14, -6, -22],\n [0, 0, 0, 0, 0, -3, -19... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[21, -8, 6, 11, -8, -2, 0, -4, -6],\n [-8, 18, -1, 6, 0, -2, -4, 6, 4],\n [6, -1, 22, -6, -4, 0, 9, 0, -10],\n [11, 6, -6, 2, 0, -22, 2, -4, 16],\n [-8, 0, -4, 0, 8, 20, -2, 4, -4],\n [-2, -2, 0, -22, 20, -6, 14, 16,... | 219 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 18, 8, 4, -12, -20, 1, -14, -20],\n [18, -19, -10, -10, 21, 0, -10, 18, 3],\n [8, -10, -21, -3, 2, 12, 16, -15, -8],\n [4, -10, -3, -4, 3, 20, 5, -18, 14],\n [-12, 21, 2, 3, 3, -6, -8, -3, 6],\n [-20,... | 69 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, -10, 9, -12, 23, 25, -19, 0, 17],\n [0, 5, -2, -7, 11, -25, -1, -16, -8],\n [0, 0, 3, -13, -22, -14, 22, -7, 0],\n [0, 0, 0, 18, -1, -16, 11, 2, 2],\n [0, 0, 0, 0, -18, 10, 13, -2, -3],\n [0, 0, 0, 0, 0, -24, 25, 3, 8],\n [0... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -4, 2, -14, 7, -10, 0, -14, -3],\n [0, 0, 15, -13, -3, 5, 10, 1, 10],\n [0, 0, -3, 12, -23, 4, 6, -11, 12],\n [0, 0, 0, 8, -25, -15, -21, 0, -20],\n [0, 0, 0, 0, -7, -21, -3, 18, 18],\n [0, 0, 0... | 111 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, -12, -14, -6, 5, 2, -7, 12, -8],\n [-12, -25, -4, 1, 13, -8, -10, 12, -12],\n [-14, -4, 16, -13, 6, -4, -5, 14, 4],\n [-6, 1, -13, -2, -6, 0, 7, 18, -2],\n [5, 13, 6, -6, -23, 4, 0, 8, 4],\n [2, -8, -4, 0, 4, -5, 14, -6,... | 211 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[14, 8, 6, 1, -6, 6, 3, -4, -11],\n [8, -14, -1, -6, 4, 8, 3, 4, 12],\n [6, -1, -25, -4, -11, -22, 4, -6, -13],\n [1, -6, -4, 0, 6, 4, -7, -16, -21],\n [-6, 4, -11, 6, 18, 6, 3, -5, -2],\n [6, 8, -22, 4, 6, 4, 0, -1, 4],\n [3... | 213 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-16, -20, -8, -20, -13, -2, -18, -14, -1],\n [-20, -22, 14, -4, 4, -10, -14, 10, 13],\n [-8, 14, 9, 1, -18, -2, -8, -16, 10],\n [-20, -4, 1, -17, -4, -12, 12, -24, 14],\n [-13, 4, -18, -4, 16, 4, 0, 12, -4],\n [-2, -10, -2, -12,... | 67 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[15, 22, -6, 6, -8, -2, 3, -14, 5],\n [22, 19, -16, 0, -2, 2, 2, -22, 7],\n [-6, -16, 14, 2, -10, 18, -2, -2, 14],\n [6, 0, 2, 3, 14, 4, -8, 15, 0],\n [-8, -2, -10, 14, -3, 2, -6, -9, -4],\n [-2, 2, 18, 4, 2, 19, -25, -4, -6... | 241 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, 18, -9, -23, 5, -5, 7, -25, -20],\n [0, -22, -4, -13, 18, 4, 14, 0, 13],\n [0, 0, -12, 0, -8, 25, -2, 25, -1],\n [0, 0, 0, -10, -23, -5, 6, -24, 21],\n [0, 0, 0, 0, -15, 9, 10, 12, -14],\n [0, 0, ... | 107 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-19, -14, 19, 23, 15, -18, 2, -10, -23],\n [0, 6, -5, 19, -8, 22, 20, -15, 24],\n [0, 0, 25, -24, 15, -4, -17, -12, -11],\n [0, 0, 0, -1, 11, -20, 11, 7, -1],\n [0, 0, 0, 0, 5, 0, -15, 4, -15],\n [0, 0, 0, 0, 0, 2, ... | 103 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 17, -3, -6, -7, 3, -18, 3, -8],\n [0, -14, -16, 21, 11, -9, 6, -22, 5],\n [0, 0, -8, -18, 6, -6, 23, 14, -13],\n [0, 0, 0, 13, 24, -5, -19, 0, -3],\n [0, 0, 0, 0, 13, 20, -11, -10, 0],\n [0, 0, 0, 0, 0, -2, 10, -8, -3... | 18 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[22, -12, 8, 0, -8, -6, -7, 2, -2],\n [-12, -20, -10, -12, 12, -4, -1, 21, -5],\n [8, -10, -15, -5, -8, 8, -17, 16, -6],\n [0, -12, -5, 22, -2, 2, 22, 11, -14],\n [-8, 12, -8, -2, -11, 0, 6, 0, 11],\n [-6, -4, 8, 2, 0, -15, 16, -... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[4, -6, 16, -4, 11, -21, -8, 6, 14],\n [-6, 3, -11, 6, 22, 4, 3, 4, 2],\n [16, -11, 0, 2, 10, 4, 12, 2, 8],\n [-4, 6, 2, -15, 10, -2, 11, -12, -1],\n [11, 22, 10, 10, -11, 12, -7, 6, 0],\n [-21, 4, 4, -2, ... | 49 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-9, 5, -14, 15, -6, 8, -1, -4, -2],\n [5, -12, -6, 21, -4, 4, 14, -2, -1],\n [-14, -6, -15, -4, 3, -15, -3, 0, -12],\n [15, 21, -4, -6, -12, 5, 20, -4, -3],\n [-6, -4, 3, -12, 25, -4, 5, 12, 2],\n [8, 4, -15, 5, -4, -23, -8, -2,... | 55 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 0, 8, 16, 12, 4, 6, 18, -4],\n [0, -15, 6, 12, -10, -6, -10, -2, 4],\n [8, 6, -13, -18, 16, 12, -2, -5, -13],\n [16, 12, -18, 16, 4, 13, -3, -2, 18],\n [12, -10, 16, 4, 23, 9, 6, 2, 3],\n [4, -6, 12, 13, 9, -15, -17,... | 55 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, 17, -21, 4, -1, 4, -1, -17, 1],\n [0, 14, 17, 12, -11, 12, 0, 4, -15],\n [0, 0, 18, -17, 16, 3, -11, -9, -10],\n [0, 0, 0, 17, -15, 12, -1, 4, -24],\n [0, 0, 0, 0, -21, 24, -2, 1, 4],\n [0, 0, 0, 0, 0, 11, 4, 23, -11],\n... | 119 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-15, -18, 9, 15, -10, -10, 16, -20, -6],\n [0, -18, -6, 6, 7, -20, 2, -18, -12],\n [0, 0, -4, 7, 17, -5, -20, 14, -19],\n [0, 0, 0, -18, -2, 1, 25, 2, -21],\n [0, 0, 0, 0, 21, 19, -13, 11, -24],\n [0, 0, ... | 22 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-17, 20, 6, 3, -22, 8, 0, -5, 10],\n [20, -25, 18, -9, 10, -9, 0, -2, -20],\n [6, 18, 17, 10, 8, 6, 0, -20, -6],\n [3, -9, 10, 16, 16, 5, -4, -12, 6],\n [-22, 10, 8, 16, 23, 16, 14, -12, -1],\n [8, -9, 6, 5, 16, 24, 2, 0, 14... | 263 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, -13, -5, 23, 13, 12, -17, -6, -6],\n [0, -12, -6, 9, 19, -5, 15, 15, -4],\n [0, 0, 18, 1, -22, -22, 2, 1, -9],\n [0, 0, 0, 14, -19, -18, 15, 7, 6],\n [0, 0, 0, 0, -10, -8, 12, -1, 8],\n [0, 0, 0, 0, 0, 20, -5, -13, 22],\... | 110 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -8, 0, 5, 10, -5, -8, 0, -11],\n [-8, 15, -6, 6, 0, 18, 6, -6, 0],\n [0, -6, 23, 17, 2, -6, -4, 6, 5],\n [5, 6, 17, -23, 0, 20, -2, -16, 9],\n [10, 0, 2, 0, -6, 2, -11, 0, 1],\n [-5, 18, -6, 20, 2, 11, 22, 11, -2],\n [-8, 6, ... | 62 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-18, -8, 5, -12, 9, 13, 3, 4, 12],\n [-8, -16, -4, -12, 2, 8, -4, -2, -17],\n [5, -4, -9, -4, -4, 2, 0, 20, 10],\n [-12, -12, -4, -2, 2, 6, -14, -10, -1],\n [9, 2, -4, 2, 21, 6, 4, -10, -18],\n [13, 8, 2, 6, 6, -10, 0, -7, 2],\n ... | 46 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-19, -1, 11, -10, 16, -2, -2, 4, -16],\n [-1, -20, 12, -6, -1, 4, -4, -19, 22],\n [11, 12, -19, -2, 4, 0, -16, -8, -3],\n [-10, -6, -2, -20, -11, -10, -2, 2, 2],\n [16, -1, 4, -11, 9, -16, -9, 6, -6],\n [-2, 4, 0, -10, -16,... | 232 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-15, 4, -8, 20, -10, -20, -24, 17, 17],\n [0, -22, 23, -16, -17, 19, 17, 16, -2],\n [0, 0, -22, 9, 16, -13, 11, 6, 19],\n [0, 0, 0, -23, 23, 25, -13, 6, 22],\n [0, 0, 0, 0, 4, -20, -19, 21, 4],\n [0, 0, 0, 0, 0, 6, -14, -22, 6],... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, -20, -10, -1, -1, 0, -14, 18, -6],\n [-20, 18, -9, -15, 8, -16, 6, 8, -6],\n [-10, -9, -22, 12, -16, -12, -10, 10, -8],\n [-1, -15, 12, 16, 0, -20, 4, 8, -2],\n [-1, 8, -16, 0, 23, 20, 0, 2, 0],\n [0, ... | 55 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, -17, -21, -21, 15, 15, 8, -19, 0],\n [0, 8, 0, 6, -14, -20, -6, -7, -10],\n [0, 0, -8, -21, 24, -20, -12, 23, -8],\n [0, 0, 0, -8, -22, 6, 21, -20, 0],\n [0, 0, 0, 0, -21, -12, -24, 25, 14],\n [0, 0, 0, 0, 0, 10, 24, ... | 23 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 17, -4, 2, -10, 18, -10, -10, 11],\n [17, -16, 5, 0, 1, -2, 4, -3, 12],\n [-4, 5, -1, 3, -6, -17, -7, -6, 0],\n [2, 0, 3, -25, 4, -4, 8, 3, -18],\n [-10, 1, -6, 4, 1, -10, 10, 10, -4],\n [18, -2, -17, -4, -10, -21, 2... | 51 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-23, -23, -13, 19, 5, 1, -20, 1, 9],\n [0, -17, -20, -20, 14, 0, 17, -7, -10],\n [0, 0, -15, -10, 3, 12, 23, 22, -6],\n [0, 0, 0, 7, 24, 14, 0, -16, 8],\n [0, 0, 0, 0, 20, -19, 25, 12, -10],\n [0, 0, 0, 0, 0, 6, 19, -14,... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, -6, 22, 22, 22, 12, -11, 9, -17],\n [0, -15, -4, -20, 11, 24, -5, -14, -19],\n [0, 0, 15, -2, 0, -1, -6, 14, 15],\n [0, 0, 0, 16, 9, 7, -9, -4, -25],\n [0, 0, 0, 0, 15, -12, 10, 7, 12],\n [0, 0,... | 111 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[21, 16, 0, -11, -8, 19, 8, 9, -22],\n [16, 19, 12, -6, -10, 3, -16, -10, -12],\n [0, 12, 11, -3, 12, 4, 20, -2, 2],\n [-11, -6, -3, 19, -8, -19, 4, 8, 10],\n [-8, -10, 12, -8, 25, 3, -16, 24, 0],\n [19, 3, 4, -19, 3, 6, ... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, -12, -21, 14, 21, -4, 20, 14, -13],\n [-12, -8, -4, 12, 16, 1, 4, -19, -5],\n [-21, -4, -2, -1, -16, -21, 4, 14, -10],\n [14, 12, -1, 5, 22, -18, 0, 17, 0],\n [21, 16, -16, 22, 17, -6, -15, -15,... | 305 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-23, 1, 4, 8, 0, 11, 14, 25, -4],\n [0, 15, -24, 21, -18, 16, -19, -7, 7],\n [0, 0, 2, -12, -11, -5, -12, 14, -8],\n [0, 0, 0, -25, -17, -17, 17, 25, 12],\n [0, 0, 0, 0, 12, 15, 4, 21, 0],\n [0, 0, 0, 0, 0, -17, 1, 9, 20],\n [0,... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 16, 6, -2, -8, 2, 6, -10, 8],\n [16, 13, 14, 10, -11, 7, -5, 2, -20],\n [6, 14, -25, 3, -6, 10, 6, 18, -23],\n [-2, 10, 3, 11, 18, 10, -2, 0, -6],\n [-8, -11, -6, 18, 21, 1, 4, 13, 0],\n [2, 7, ... | 251 | MATH |
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