messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[22, 2, 2, 18, -8, -18, 19, -2, -9],\n [2, -2, 12, -6, 10, -12, -3, -1, -4],\n [2, 12, 16, -20, 6, 18, 12, -7, 3],\n [18, -6, -20, -8, 15, -4, 19, -4, -12],\n [-8, 10, 6, 15, 10, 1, 4, -17, 4],\n [-18, -12... | 52 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-23, 13, -2, -5, -20, 7, -18, 7, 22],\n [0, -24, 12, 14, 13, 13, -2, -5, 25],\n [0, 0, -15, -15, -23, -3, -25, -3, -4],\n [0, 0, 0, -9, 15, 24, -6, -17, -15],\n [0, 0, 0, 0, 18, 24, -18, 3, -18],\n [0, 0, 0, 0, 0, -18, -12,... | 143 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, -15, -16, -14, -12, 4, 15, -13, 4],\n [0, -15, -25, 1, 21, 13, 17, 23, 11],\n [0, 0, 17, 0, -1, -9, -20, -11, -23],\n [0, 0, 0, 18, 25, -8, 22, 14, 6],\n [0, 0, 0, 0, -14, 21, 16, -9, 13],\n [0, ... | 120 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, -5, -2, 2, -20, 16, 5, -2, -19],\n [-5, -13, 1, 8, 7, 16, -1, -5, 2],\n [-2, 1, -18, 0, 0, 20, 0, 16, -2],\n [2, 8, 0, -6, 1, 18, -6, 8, -6],\n [-20, 7, 0, 1, 20, 15, -16, -3, 2],\n [16, 16, 20, 18, 15, -11, 6, ... | 233 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 17, -4, -20, 10, -4, 1, -2, -15],\n [17, -10, -20, 5, -2, 4, 10, -6, 19],\n [-4, -20, 1, 8, 21, -3, 10, -12, -5],\n [-20, 5, 8, 22, 1, 4, 2, 12, -2],\n [10, -2, 21, 1, -25, 7, 2, -14, -5],\n [-4, 4, -3, 4, 7, -25, -3, 14, 2],\... | 52 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-20, 2, -6, -2, 11, 3, -12, -4, 0],\n [2, 18, 8, 10, 2, 0, 8, 2, -3],\n [-6, 8, 23, 12, 12, 2, 16, 0, -6],\n [-2, 10, 12, 16, 4, 8, -6, 5, 6],\n [11, 2, 12, 4, 4, 11, -1, -6, -12],\n [3, 0, 2, 8, 11,... | 236 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-2, 16, -4, -16, -22, -18, 13, -11, -18],\n [0, 16, 13, 25, 9, 15, 22, -12, 6],\n [0, 0, 7, 22, 9, 1, -25, -20, -24],\n [0, 0, 0, 3, -10, 3, 5, -4, -16],\n [0, 0, 0, 0, 14, -18, -3, -19, 6],\n [0, 0, 0, 0, 0, 10, 1, -20, 16],\n ... | 20 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[17, -16, -9, 0, 6, -1, 10, -4, 1],\n [-16, -20, 0, 6, -10, -1, 8, -11, 6],\n [-9, 0, 12, 0, -7, -3, 8, -3, -12],\n [0, 6, 0, 5, 0, -10, -19, -8, 0],\n [6, -10, -7, 0, 6, 1, 20, -11, 4],\n [-1, -1, -3, -10, 1, -12, -12, -20, ... | 224 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, -4, 0, -4, 4, 2, -17, -16, -18],\n [-4, -3, 7, 4, -5, 4, -4, -15, 2],\n [0, 7, 10, 4, 8, -4, 1, -8, 10],\n [-4, 4, 4, -22, 2, -2, 14, 14, 14],\n [4, -5, 8, 2, 7, 1, -6, -10, 12],\n [2, 4, -4, -2, 1, -8, 5, 10, 8],\n ... | 52 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-21, 5, 3, -11, -1, -13, 18, -2, -11],\n [0, 0, -7, -2, -7, 16, -9, 22, -21],\n [0, 0, -16, -5, -1, -20, 4, 3, -15],\n [0, 0, 0, 1, -7, -4, 2, -22, 11],\n [0, 0, 0, 0, 10, -3, 24, 2, -15],\n [0, 0, 0, 0, 0, 4, 18, 15, 13... | 21 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-24, -3, -5, -16, 12, -22, -5, 11, 17],\n [0, 22, 20, -12, -6, 21, -18, 1, 11],\n [0, 0, 22, 9, 18, 13, 23, -11, 21],\n [0, 0, 0, 11, 4, -23, 4, 3, -25],\n [0, 0, 0, 0, 4, 17, 0, -14, 14],\n [0, 0, 0, 0, 0, -9, 17, ... | 120 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[24, 14, -5, -6, -9, 16, -22, 1, 15],\n [14, 8, -6, -17, 6, -11, -2, -16, -2],\n [-5, -6, -12, 0, 10, -12, -10, 8, 20],\n [-6, -17, 0, -3, -4, 8, -16, -4, -4],\n [-9, 6, 10, -4, 22, -2, -24, 4, -19],\n [16, -11, -12, 8, -... | 61 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-7, 2, -20, 13, -7, -9, -20, -11, -4],\n [0, 8, -21, -3, -21, 18, -16, -22, -14],\n [0, 0, 4, 24, -2, -21, -13, 10, -17],\n [0, 0, 0, -2, 17, -22, 15, 0, 18],\n [0, 0, 0, 0, -17, -25, -10, 20, -13],\n [0, 0, 0, 0, 0, 2, ... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, 6, -12, 18, 14, 2, 20, 0, 10],\n [6, -9, 22, -8, -16, 0, -9, -2, 4],\n [-12, 22, 4, 6, -10, -8, 20, -8, -19],\n [18, -8, 6, -10, 4, -5, -17, 4, 3],\n [14, -16, -10, 4, 6, 5, 6, 8, 10],\n [2, 0, -8... | 231 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[18, 8, -8, 11, -15, -2, 0, 2, 6],\n [8, 19, 10, 16, -9, -2, 15, 10, -3],\n [-8, 10, -11, 12, 0, 6, 13, 11, 6],\n [11, 16, 12, -8, 16, 6, 4, -18, 10],\n [-15, -9, 0, 16, 18, 4, 2, -10, 0],\n [-2, -2, 6, 6, 4, 13, 2, 4, -16],... | 254 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[24, -9, -19, -20, -20, 4, 12, -15, -2],\n [-9, 18, 5, -4, 14, 21, -6, 6, 2],\n [-19, 5, 7, -4, 0, -2, 12, 10, -13],\n [-20, -4, -4, 7, -3, -6, 20, 1, 0],\n [-20, 14, 0, -3, 0, -8, 6, -2, 7],\n [4, 21, -2,... | 61 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, -13, 8, -1, -8, -2, 8, 16, 12],\n [-13, 4, 4, -7, 3, -1, 0, -14, 11],\n [8, 4, 23, -14, 22, 16, -10, 4, -1],\n [-1, -7, -14, -25, -8, 0, 2, 10, 10],\n [-8, 3, 22, -8, -10, 5, 17, 6, 5],\n [-2, -1, 16, 0, 5, 21, 7, -8, 0]... | 249 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, -1, -8, 2, -6, -14, 14, 6, 4],\n [-1, -13, -4, 7, 6, -2, -12, 0, 10],\n [-8, -4, 2, -2, -5, -6, -10, 4, -3],\n [2, 7, -2, -10, 8, 8, 14, -18, 6],\n [-6, 6, -5, 8, -12, 0, 21, 12, -20],\n [-14, -2, -6, 8, 0, -25, 22,... | 59 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[11, -19, 16, -13, -6, -11, 12, 8, 10],\n [0, -1, 3, 21, 2, -12, -22, 12, -19],\n [0, 0, 3, -9, 10, -7, 0, 19, -17],\n [0, 0, 0, -8, 0, -1, -9, 13, 23],\n [0, 0, 0, 0, 0, -14, 18, 23, -7],\n [0, 0, 0, 0, 0, 12, 4, -7, 6],\n ... | 100 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, -10, -4, -6, -7, 14, -22, -1, 10],\n [-10, -2, -4, -6, 8, -10, -2, 21, -8],\n [-4, -4, 3, -7, 3, -4, -1, -6, -18],\n [-6, -6, -7, 21, -4, 11, -22, 18, -1],\n [-7, 8, 3, -4, -8, 16, 15, 1, 22],\n [14, -10, -4, 11, 16, 25,... | 271 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, 13, 4, 2, 11, -12, -18, -2, -13],\n [13, 10, -8, 0, -8, 6, -4, -4, -12],\n [4, -8, -5, 4, 0, -1, 8, 10, 2],\n [2, 0, 4, -22, -10, -8, 9, -16, -2],\n [11, -8, 0, -10, 11, 12, -6, -7, -4],\n [-12, 6, -1, -8, 12, 13, 20, -1... | 230 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-14, 4, -3, 4, -10, -4, -8, -14, -22],\n [4, -21, 2, 3, -4, -6, -7, -16, 0],\n [-3, 2, 5, -6, -4, -4, 5, -4, 2],\n [4, 3, -6, -15, -12, -3, 18, -22, -2],\n [-10, -4, -4, -12, -6, -14, 2, 12, -2],\n [-4, -6, -4, -3, -14, -20, -22,... | 50 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, 1, -24, 2, -15, 20, -5, 16, 6],\n [0, -19, -4, -12, -13, -5, -4, 8, -16],\n [0, 0, -2, -23, 5, 17, 25, 15, -13],\n [0, 0, 0, 8, 15, -8, 10, 0, 7],\n [0, 0, 0, 0, -23, -4, 23, 9, -22],\n [0, 0, 0, 0, 0, -23, -5, 14, -25... | 115 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[14, 10, 0, 4, 9, 0, 4, 8, 8],\n [10, 2, -10, 4, -20, 6, 4, 10, -8],\n [0, -10, -11, 0, -2, 20, 10, 2, -10],\n [4, 4, 0, -1, -10, -14, 5, 2, 3],\n [9, -20, -2, -10, -15, -3, 12, -6, 0],\n [0, 6, 20, -... | 209 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[23, -3, -10, 7, -7, 18, 12, 0, 5],\n [-3, -12, 9, 19, -12, -10, 15, 20, -19],\n [-10, 9, -12, -12, 21, 8, -10, 6, -1],\n [7, 19, -12, 3, 0, -8, 0, -12, -2],\n [-7, -12, 21, 0, 4, 0, 8, 3, -16],\n [18, -10, 8, -8, 0, 11, 2, 1... | 247 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[15, 22, -25, 23, 16, -6, -21, 14, 19],\n [0, -21, -22, -18, -1, -19, 11, 16, 6],\n [0, 0, -20, 16, 22, 16, 10, -24, 5],\n [0, 0, 0, 5, 3, 18, 7, -16, 12],\n [0, 0, 0, 0, 6, 7, -24, 20, -24],\n [0, 0, 0, 0, 0, 15, 16... | 117 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[20, -11, -2, 22, -18, 2, 16, 20, -9],\n [0, 5, -22, 22, -12, -1, 20, 22, 14],\n [0, 0, 5, 9, 12, -6, -10, -4, 10],\n [0, 0, 0, 8, -19, 21, 23, -12, 17],\n [0, 0, 0, 0, -9, 6, -24, 13, -22],\n [0, 0, 0, 0,... | 25 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, 0, -14, 6, -5, -4, 14, 0, -10],\n [0, -19, 7, -18, 18, 6, -12, 17, -4],\n [-14, 7, -18, -8, -2, -8, 10, 0, -18],\n [6, -18, -8, 9, 2, -2, -7, -20, 12],\n [-5, 18, -2, 2, -16, 0, 9, -9, -20],\n [-4, 6, -8, -2, 0, 14, ... | 55 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, -7, -23, -17, 13, -24, -17, -20, 12],\n [0, 22, 8, 3, 22, -23, -10, 18, 9],\n [0, 0, -3, 4, 22, -21, -18, 17, 17],\n [0, 0, 0, 2, 10, -16, -12, 12, 11],\n [0, 0, 0, 0, -7, 23, -12, -15, 20],\n [0, 0, 0, 0, 0, -2, 25, -16,... | 104 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[15, 8, 16, -18, -8, 5, 4, 19, -14],\n [8, -3, 18, -5, 10, -9, 9, 4, 11],\n [16, 18, -23, 0, -6, 18, -13, 18, 4],\n [-18, -5, 0, 9, -6, -4, 0, 8, 8],\n [-8, 10, -6, -6, 4, -6, -2, -10, 12],\n [5, -9, 18, -4, -6, -9, -4, -6, 2],\n ... | 54 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[1, 7, 4, 4, 19, 12, 18, 0, 10],\n [7, -20, -9, 8, 0, -17, 14, 18, -19],\n [4, -9, -10, -1, -18, -5, 4, 4, -4],\n [4, 8, -1, -24, 18, 0, -3, 0, 22],\n [19, 0, -18, 18, 13, 16, -4, 18, 2],\n [12, -17, -5, 0, 16, -25, 8, 10... | 64 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -8, 5, 23, 9, 15, 2, 0, -20],\n [0, 2, 18, 21, -17, 3, 8, -14, -10],\n [0, 0, 7, -19, -23, -6, -21, -23, 21],\n [0, 0, 0, -3, 7, -24, 10, -5, -12],\n [0, 0, 0, 0, 21, 4, 10, -6, -10],\n [0, 0, 0,... | 66 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, 24, -8, -1, 4, 14, 18, 8, 6],\n [24, 3, 14, 3, 24, 15, -9, -2, -2],\n [-8, 14, 2, -12, -11, -6, -2, -1, -9],\n [-1, 3, -12, 15, -19, -2, -8, -8, -10],\n [4, 24, -11, -19, -6, 1, 3, -8, -12],\n [14, 15, -6, -2, 1... | 264 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-17, 2, 13, 10, -1, 15, 2, 21, -5],\n [0, -1, 4, 13, -15, -7, -15, -1, -25],\n [0, 0, 19, -13, 8, -9, 25, 21, -7],\n [0, 0, 0, 25, -15, 12, 5, -24, -2],\n [0, 0, 0, 0, 4, 13, 9, 22, -9],\n [0, 0, 0, 0, 0, -25, -12, -10, -17],\n ... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, 13, -2, -6, -17, -1, 12, -2, 2],\n [13, -4, -4, 4, 20, -20, 6, -10, 6],\n [-2, -4, 1, -16, -10, 6, -9, 12, -6],\n [-6, 4, -16, 10, -10, 4, -6, 14, 6],\n [-17, 20, -10, -10, 21, -13, 20, 18, 12],\n [-1, -20, 6, 4... | 251 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, 12, -2, -4, 6, 18, -7, -12, 4],\n [12, 22, -4, -10, -14, 4, 8, 24, -16],\n [-2, -4, -6, 14, 2, 0, -10, 4, -6],\n [-4, -10, 14, -9, 6, 9, 8, -4, 16],\n [6, -14, 2, 6, -2, -17, 13, -4, 1],\n [18, 4, 0, 9, -17, -15, 10, -15... | 237 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-11, 1, -18, 8, -11, -4, -1, 0, -12],\n [1, 6, 10, -6, 8, 14, 22, 14, 20],\n [-18, 10, -20, 2, 2, 7, -12, -12, 9],\n [8, -6, 2, -18, -2, -13, 8, -6, 2],\n [-11, 8, 2, -2, -2, 2, -12, -20, -9],\n [-4,... | 235 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, -2, 20, 4, -6, -3, 2, 5, 19],\n [-2, 18, -20, -12, -16, 7, 13, 15, -7],\n [20, -20, -23, -4, 0, -22, -18, 13, -2],\n [4, -12, -4, 18, -4, 14, 2, 2, -8],\n [-6, -16, 0, -4, -25, -10, 2, -18, -15],\n [-3, 7, -22, 14, -10, 25,... | 59 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, -7, 15, -3, -6, -20, 17, -2, 21],\n [0, -20, -2, 16, -4, -8, -10, 10, -13],\n [0, 0, -7, 24, -6, 1, -9, -10, -25],\n [0, 0, 0, 4, -6, -2, 20, -24, -11],\n [0, 0, 0, 0, -25, 19, 21, -10, 17],\n [0, 0, 0, 0, 0, 0, 2, -11, -... | 113 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, -20, 10, 8, 23, -18, 11, -16, -10],\n [0, -7, -19, -24, 19, -3, 5, -22, -10],\n [0, 0, -5, 2, 20, -14, -13, 14, -9],\n [0, 0, 0, -13, 8, 23, -20, -14, 3],\n [0, 0, 0, 0, -10, -7, 21, 0, 6],\n [0, 0, 0, 0, 0, 11, -23, -20... | 71 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[25, -6, -6, -7, 25, -8, -13, -9, 7],\n [0, -21, 2, -1, -6, -5, -13, -20, 3],\n [0, 0, 3, 12, -25, 4, 24, 6, -3],\n [0, 0, 0, -5, 0, -11, -9, 9, -1],\n [0, 0, 0, 0, -20, 2, 3, 22, -5],\n [0, 0, 0, 0, 0, -8, -16, -4, 18],\... | 25 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-22, -11, 18, 14, 22, -14, -1, 1, -20],\n [0, -11, 13, -21, -3, -11, -1, 4, 18],\n [0, 0, -13, 24, 14, 13, -3, -10, 9],\n [0, 0, 0, 19, -13, 25, 24, 3, 13],\n [0, 0, 0, 0, -4, 10, 15, 22, 10],\n [0, 0, 0, 0, 0, 4, -14, 20, ... | 103 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-21, 14, -10, 6, -20, -24, -23, -14, -2],\n [14, 17, 6, 9, 6, 2, 6, 16, 2],\n [-10, 6, 7, 11, -8, -6, -2, -4, -8],\n [6, 9, 11, -4, 9, 6, 0, -4, 17],\n [-20, 6, -8, 9, 18, -8, 5, -11, 10],\n [-24, 2, -6, 6, -8, -19,... | 237 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 11, 18, 3, -4, -24, 24, -17, 3],\n [0, -16, 2, 20, 20, 13, -14, -4, -20],\n [0, 0, -3, 8, 16, 12, -10, -16, 21],\n [0, 0, 0, -5, -1, 8, 5, 1, -1],\n [0, 0, 0, 0, 21, 0, 10, 11, 7],\n [0, 0, 0, 0, 0, 25, 11, 17, 1... | 115 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-25, -2, 0, 18, -6, -14, -5, -8, -2],\n [-2, -9, 6, 8, 10, -17, 6, -10, 1],\n [0, 6, 5, -10, 2, 10, -14, -16, -15],\n [18, 8, -10, -20, -12, 3, 12, 12, 12],\n [-6, 10, 2, -12, 15, -4, 7, -17, 4],\n [-14, -17, 10, 3, -4, ... | 62 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 0, -2, -22, 7, 8, 0, -2, -2],\n [0, -13, 2, 0, 20, -10, -6, 3, -10],\n [-2, 2, 4, -22, -9, 16, 16, 10, 12],\n [-22, 0, -22, -16, 2, 10, -6, -14, -6],\n [7, 20, -9, 2, 9, -2, -11, 0, 5],\n [8, -10, 16, 10, -2, -20, 8, -2, -6],... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, 17, 17, 11, 20, -23, -3, 8, -8],\n [0, 7, -9, -20, -13, -5, 5, -5, 7],\n [0, 0, -18, -13, 8, 14, -4, -25, -13],\n [0, 0, 0, -6, -13, 11, -16, -23, 8],\n [0, 0, 0, 0, 8, 6, -5, 15, -2],\n [0, 0, ... | 107 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[1, 5, 8, -14, 11, -1, -24, 4, 18],\n [0, -3, -17, -6, -25, 13, -3, -8, 16],\n [0, 0, -17, -15, -25, -15, 7, 4, -21],\n [0, 0, 0, -13, 1, -18, 2, 19, -24],\n [0, 0, 0, 0, 14, -11, 5, -19, 13],\n [0, 0, 0, 0, 0, -12, ... | 102 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, 13, -3, 22, 23, 7, 15, 4, -12],\n [0, 10, -18, 21, -4, -22, 25, 9, -18],\n [0, 0, -1, -1, 14, 14, -9, -10, 22],\n [0, 0, 0, -9, 9, 7, 14, 13, -8],\n [0, 0, 0, 0, -19, -16, -10, 2, -3],\n [0, 0, 0, 0, ... | 21 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, -5, 10, -13, 20, -17, 9, 20, 10],\n [0, 21, 18, 20, 25, -16, -21, 5, -2],\n [0, 0, 23, -23, -10, 15, 23, -6, 18],\n [0, 0, 0, -3, 12, -24, 15, -21, -8],\n [0, 0, 0, 0, 16, 24, -10, -3, 4],\n [0, 0, 0, 0, 0, 2, 0, -4, -1... | 111 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[19, 22, -24, 23, -17, 0, -3, 25, 2],\n [0, -22, 4, 21, -8, 4, 1, 18, 5],\n [0, 0, 13, 4, 11, -14, -9, 8, 2],\n [0, 0, 0, -12, -13, 23, 23, 24, -23],\n [0, 0, 0, 0, 0, -20, -8, 15, 24],\n [0, 0, 0, 0, 0, -2, 4, -3, 19],\n [0... | 98 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[24, -23, 15, -16, -19, 25, -2, 0, 8],\n [0, 13, -21, 10, 17, 0, -16, 7, 10],\n [0, 0, 24, -1, 19, -13, -25, 10, 10],\n [0, 0, 0, -8, 24, 21, 24, -11, -9],\n [0, 0, 0, 0, 8, -9, 7, 24, 23],\n [0, 0, 0, 0, ... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-20, 19, -12, 2, 7, -1, 14, -8, 20],\n [0, -14, 1, -2, 7, -11, 17, 6, 24],\n [0, 0, 21, 19, 9, -13, -17, -16, -25],\n [0, 0, 0, -1, -4, -16, 0, -7, 14],\n [0, 0, 0, 0, 14, -21, 3, 12, -21],\n [0, 0, 0, 0, 0, 3, 25, 10, 6],\n [0,... | 24 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 9, -18, -12, -4, -5, 2, 0, -7],\n [9, -7, 4, 20, -16, -5, -18, 20, 4],\n [-18, 4, -8, 2, -6, 0, -20, -3, -7],\n [-12, 20, 2, 24, 1, 18, -5, -7, 5],\n [-4, -16, -6, 1, 17, -14, -5, 4, 0],\n [-5, -5, 0, 18, -14, -6... | 269 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, -20, 4, -15, -8, 13, 1, 2, -8],\n [-20, 18, 4, 23, -14, 6, 4, -14, -3],\n [4, 4, -20, 0, 2, 20, -2, -6, -7],\n [-15, 23, 0, 14, -12, 20, -10, 4, 1],\n [-8, -14, 2, -12, 24, 5, 0, 5, 13],\n [13, 6, 20, 20, 5, -23, -5, -13, 1]... | 61 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, -3, -10, 5, -14, 7, 12, 19, 6],\n [0, 24, 23, 25, -3, 6, -11, 14, 15],\n [0, 0, 17, 24, 23, -4, 12, 8, -25],\n [0, 0, 0, -2, 20, -2, 22, -12, 0],\n [0, 0, 0, 0, 10, -2, 0, 3, 22],\n [0, 0, 0, 0, 0, -23, -5, -15, -18],\n [0, 0,... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, 24, -21, -20, 16, 25, -16, -20, -16],\n [0, -5, 18, -22, -13, -16, -10, -7, -20],\n [0, 0, 20, -16, 14, -23, 23, -7, 9],\n [0, 0, 0, -7, 24, 18, -11, 12, -5],\n [0, 0, 0, 0, -6, 16, 24, -24, 19],\... | 105 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-17, -24, -16, -9, 5, -25, -8, -20, 12],\n [0, 16, 21, -22, 14, -22, 9, -22, -25],\n [0, 0, 5, -7, -5, 4, -19, -21, -24],\n [0, 0, 0, 13, 11, -16, -17, -3, -12],\n [0, 0, 0, 0, -18, 23, 12, 8, 5],\n [0, 0, 0, 0, 0, -8, 24, 15, 8... | 18 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, -19, 20, 3, 25, -24, 0, 15, 16],\n [0, 23, -19, -8, -20, 15, 14, 1, 15],\n [0, 0, 5, 8, -4, -2, 10, 2, -6],\n [0, 0, 0, 7, -16, -17, -1, -13, 21],\n [0, 0, 0, 0, 5, 8, 0, -19, 15],\n [0, 0, 0, 0, 0, -4, -21, -14, -5],\n [... | 69 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, 14, -17, 5, -2, 19, 23, -4, -17],\n [0, -3, -6, 16, -5, 1, -21, -9, 8],\n [0, 0, -16, 18, -24, 21, -1, -23, 8],\n [0, 0, 0, -15, 3, -10, 13, 3, -13],\n [0, 0, 0, 0, -18, -19, -21, -20, 25],\n [0, 0, 0, 0, 0, -5... | 140 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-21, -2, -3, 20, -6, -2, -9, 9, -16],\n [-2, -4, -8, 0, 7, -2, -16, -6, -9],\n [-3, -8, -23, -12, -16, -6, 1, 0, 4],\n [20, 0, -12, 18, 12, 5, -24, 16, -15],\n [-6, 7, -16, 12, 2, -14, 1, 7, -11],\n [-2, -2, -6, 5, ... | 264 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, 21, -18, -11, -4, 6, -21, 18, 18],\n [0, 15, -11, 21, 18, 11, 7, -4, 25],\n [0, 0, -20, -9, 20, 18, -21, 13, 22],\n [0, 0, 0, 21, 10, 5, -6, -3, -19],\n [0, 0, 0, 0, -12, -1, -19, -11, 18],\n [0, 0, 0, 0, 0, 0, 2... | 110 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -24, 17, -21, 2, -13, 10, -17, 13],\n [0, 1, -13, 16, 13, 24, 2, -8, 8],\n [0, 0, 19, -3, 8, 10, -17, -18, 24],\n [0, 0, 0, 10, -8, -24, -15, 10, 5],\n [0, 0, 0, 0, 6, 23, 4, -18, 7],\n [0, 0, 0, 0, 0, 16, -13, -4, -21]... | 101 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-19, 0, -13, 16, -7, 4, -2, 6, 7],\n [0, -22, -6, -2, 9, 10, -3, 1, 4],\n [-13, -6, 8, -10, 3, 1, 16, 4, -19],\n [16, -2, -10, 16, -10, -15, -2, 3, 8],\n [-7, 9, 3, -10, -7, 10, 14, -12, -7],\n [4, 10, 1, -15, 10, -... | 250 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-15, -5, 4, 2, -12, -14, 2, 4, 6],\n [-5, -20, 10, -24, -10, 4, 14, 2, -8],\n [4, 10, 17, 3, 0, 12, 4, 18, -1],\n [2, -24, 3, -3, -8, 20, 10, -8, -20],\n [-12, -10, 0, -8, 10, 12, -16, -3, -2],\n [-14, 4, 12, 20, 12... | 256 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, 13, 15, 24, -3, -14, -19, 6, -7],\n [0, -10, -18, 4, 25, -20, -24, 8, 3],\n [0, 0, 17, -6, -23, 22, 9, -18, 25],\n [0, 0, 0, 17, 6, 3, 19, -5, -23],\n [0, 0, 0, 0, 20, -6, -19, 15, -25],\n [0, 0, 0, 0, 0, -16, -4, -1, 3],\n [0... | 25 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-3, -12, -11, 12, 1, 10, 0, 6, -6],\n [-12, 11, 10, 8, -18, -13, -14, -12, 8],\n [-11, 10, 2, 14, 4, -2, 11, -3, -15],\n [12, 8, 14, -18, 8, -14, -19, 3, -11],\n [1, -18, 4, 8, -22, 12, -2, -4, 6],\n [10, -13, -2, -... | 231 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, -13, -1, 24, 11, 10, -2, -20, -11],\n [0, -22, -12, -22, 2, 3, -8, -6, 22],\n [0, 0, -18, 17, 20, 23, -13, 14, 20],\n [0, 0, 0, 20, 21, 7, -14, 11, -1],\n [0, 0, 0, 0, -10, 13, 9, -3, -18],\n [0, 0, 0, 0, 0, -12... | 138 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, 10, -10, -15, 2, -6, 8, -2, -14],\n [10, 18, 18, 0, 0, 1, 7, -7, -12],\n [-10, 18, -24, 16, 18, -3, 11, -10, 3],\n [-15, 0, 16, 7, 0, -8, 11, -14, 8],\n [2, 0, 18, 0, -6, 4, -2, -2, 4],\n [-6, 1, -3, -8, 4, -24, -8, -18... | 236 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, 8, 21, -6, -10, -16, -13, 22, 6],\n [8, -16, -16, 7, 18, -2, -1, -12, 16],\n [21, -16, -15, -9, -4, 7, 0, -9, -14],\n [-6, 7, -9, 9, -2, 6, 3, 10, 0],\n [-10, 18, -4, -2, -18, 6, 10, 10, -4],\n [-16, -2, 7, 6, 6, -1... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 22, 12, 0, 17, 23, -8, 1, -4],\n [22, -6, -6, 2, -8, -15, -17, 22, 6],\n [12, -6, 9, -16, 6, 10, 6, 17, -10],\n [0, 2, -16, 6, 5, -9, -4, -11, 8],\n [17, -8, 6, 5, -22, 8, 4, -20, -13],\n [23, -1... | 300 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, -6, 14, -24, -4, 12, -14, 11, 3],\n [-6, 9, 2, -12, -10, -18, -5, 18, 4],\n [14, 2, 2, -18, -14, 8, -10, 0, -2],\n [-24, -12, -18, -14, 2, -8, 0, 18, 6],\n [-4, -10, -14, 2, -7, -16, -2, -4, -14],\n [12, -18, 8,... | 252 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, 5, -13, 4, 6, -21, -14, 13, 15],\n [0, -22, 16, 22, 17, 3, 15, -21, -15],\n [0, 0, 23, 2, -4, -15, -5, -20, 0],\n [0, 0, 0, 9, 16, 10, -4, -24, -13],\n [0, 0, 0, 0, -17, 18, -19, -9, -16],\n [0, 0, 0, 0, 0, 1, 4, 4, 17... | 103 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, 3, 8, 19, 4, 1, -2, -22, 22],\n [3, 21, -22, -16, -8, 17, 12, -5, 8],\n [8, -22, -16, 4, 10, -3, -2, -20, -16],\n [19, -16, 4, 25, 5, 14, 24, 7, -6],\n [4, -8, 10, 5, 10, 0, 18, -11, -4],\n [1, 17, -3, 14, 0, 5... | 281 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, 0, 7, -11, 12, -10, 14, 4, 12],\n [0, -5, -10, -14, -9, -2, -14, 14, -10],\n [7, -10, 13, 8, 12, -13, 2, -11, 1],\n [-11, -14, 8, -13, -18, -6, -12, -4, 12],\n [12, -9, 12, -18, -7, -2, 4, 4, -8],\n [-10, -2, -13, -6, -2, -8... | 52 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[18, -8, -6, -5, 2, -2, -13, -8, 2],\n [-8, -24, -10, 2, -2, -8, -8, 6, 6],\n [-6, -10, -11, -14, 12, 18, 16, -12, -8],\n [-5, 2, -14, -24, 24, 6, -8, -14, -8],\n [2, -2, 12, 24, 5, -2, -12, 12, -12],\n [-2, -8, 18, 6, -2, -6, -1... | 64 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, -6, 21, -6, -14, -9, -8, 14, -2],\n [0, 11, 15, 4, -6, -3, 11, -16, 7],\n [0, 0, -10, 24, 2, -14, -6, 21, -8],\n [0, 0, 0, -19, 17, 21, -5, 17, 6],\n [0, 0, 0, 0, 6, 0, 10, -2, -25],\n [0, 0, 0, 0, 0... | 24 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 4, 24, -13, 6, 18, 2, -8, -14],\n [4, 12, -16, -24, 0, -6, 2, -20, 8],\n [24, -16, -23, -8, -6, 0, -4, -1, 6],\n [-13, -24, -8, 18, -12, -6, 7, -10, 1],\n [6, 0, -6, -12, 24, -20, -4, -4, -10],\n [18, -6, 0, -6,... | 288 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, 16, 6, -14, 4, -15, 11, -6, -15],\n [0, 21, 12, 19, -10, 9, 24, -25, -1],\n [0, 0, 6, -20, 15, 10, 13, -3, 3],\n [0, 0, 0, 0, -3, -23, 22, -20, -19],\n [0, 0, 0, 0, 22, 24, 16, 7, 14],\n [0, 0, 0,... | 111 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, -10, 8, -13, -8, 3, 25, 17, -12],\n [0, 9, -17, 11, 20, 13, -14, -5, -8],\n [0, 0, -2, 15, 17, 24, 8, -6, -13],\n [0, 0, 0, -21, -19, 18, -14, 15, -22],\n [0, 0, 0, 0, -13, 24, 16, 19, -1],\n [0, 0, 0... | 25 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[12, 12, 23, -14, -19, 11, -10, 12, 14],\n [0, 14, 3, 13, -9, 25, 0, -6, 20],\n [0, 0, 13, 11, -7, -5, 6, 2, 13],\n [0, 0, 0, -11, 2, -5, -10, -3, 0],\n [0, 0, 0, 0, 9, 5, 1, 6, 7],\n [0, 0, 0, 0, 0, 11, 24, -21, -8],\n [0, 0, 0, ... | 14 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, -25, -15, 3, 3, -2, -6, 4, 12],\n [0, 19, -16, -20, -22, -22, -19, 22, 7],\n [0, 0, 25, 21, 15, -5, -4, 7, 7],\n [0, 0, 0, 1, 15, -25, 25, -10, 9],\n [0, 0, 0, 0, 13, 21, -3, -11, 0],\n [0, 0, 0, 0, 0, 6, -3, -21, -1],\... | 105 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-14, 23, -23, -6, 24, -14, -2, -10, -16],\n [0, 15, -12, -12, -4, -22, 21, 8, -8],\n [0, 0, 14, 5, 16, -6, 10, 16, -16],\n [0, 0, 0, -16, -19, -4, -3, -14, 13],\n [0, 0, 0, 0, 5, 22, 25, 2, -7],\n [0, 0, 0, 0, 0, -19, 21... | 20 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[5, 4, -16, 19, -8, -22, 24, 0, -20],\n [4, 1, 4, 4, 10, 9, -6, 8, 11],\n [-16, 4, -19, -10, -12, 6, 24, 10, 4],\n [19, 4, -10, 4, 14, 13, -16, -10, 0],\n [-8, 10, -12, 14, 23, -11, 8, 12, 0],\n [-22,... | 266 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 12, 2, -17, -3, -4, 8, -11, 2],\n [12, 3, -17, -5, -6, 12, 13, 14, -19],\n [2, -17, 5, -8, 14, 3, -18, 0, -8],\n [-17, -5, -8, 3, -14, 1, 6, -10, -3],\n [-3, -6, 14, -14, 18, 6, 16, 12, -4],\n [-4, 12,... | 50 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, 10, 8, 21, 6, -12, 8, -1, 16],\n [10, 25, -3, -1, -4, 6, 4, -6, -13],\n [8, -3, 16, 10, 2, 2, 4, 4, 16],\n [21, -1, 10, -18, 2, -18, -2, -6, 0],\n [6, -4, 2, 2, 13, -4, 14, 11, -18],\n [-12, 6, 2, -18, -4, 7, -6, 4, 4],... | 238 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, -20, 13, 14, -4, 3, 2, -4, 20],\n [-20, -10, -12, -3, -5, 12, -12, -2, 9],\n [13, -12, 25, 12, 14, -10, -9, -4, 2],\n [14, -3, 12, 4, 0, 4, -18, 4, 6],\n [-4, -5, 14, 0, -4, -9, 6, -5, -4],\n [3, 12, -10, 4, -9, -3, -8, ... | 231 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-25, 2, 10, 20, 19, 10, -6, -6, 4],\n [2, 12, 3, -12, -3, -20, 6, 7, 1],\n [10, 3, 17, -6, -18, -2, 6, 12, 8],\n [20, -12, -6, 17, 12, 0, 18, 11, 13],\n [19, -3, -18, 12, 15, 4, 4, 6, -2],\n [10, -20... | 242 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[18, 6, -10, -10, -10, 15, 0, 4, 6],\n [6, 8, -22, 8, 0, 2, -17, -12, -2],\n [-10, -22, -7, 9, 15, -12, 14, 14, 6],\n [-10, 8, 9, 14, -3, -24, -6, -4, 13],\n [-10, 0, 15, -3, 23, -2, -8, -18, -18],\n ... | 278 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-18, -21, -18, -13, -4, 12, 16, 12, -2],\n [-21, -4, -12, 3, 10, -10, -2, 2, 8],\n [-18, -12, -1, 6, -2, 20, -2, -15, -6],\n [-13, 3, 6, -20, 7, 3, 4, -4, -2],\n [-4, 10, -2, 7, -17, 0, 5, 0, 8],\n [12, -10, 20, 3, 0, 25, 6,... | 265 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, 4, 18, -9, 3, -9, 7, 12, -5],\n [0, 25, -12, -16, 16, -3, 13, 13, -12],\n [0, 0, 15, 2, 21, -17, -3, -19, -2],\n [0, 0, 0, 12, -19, -3, -1, 20, 25],\n [0, 0, 0, 0, 10, 20, -4, 9, 23],\n [0, 0, 0, 0, 0, -23, -13, 24, 15... | 142 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[23, 12, 19, -5, 3, 8, -14, 13, 6],\n [0, -9, 6, -18, 12, 3, 5, -7, -17],\n [0, 0, 24, 25, 13, 14, 5, -7, 7],\n [0, 0, 0, -15, -24, 9, -13, 13, 8],\n [0, 0, 0, 0, -14, 7, -8, -21, -7],\n [0, 0, 0, 0, 0, -11, 20, 22, ... | 129 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-19, 22, -5, -10, 7, -5, 10, 5, 2],\n [22, -13, -3, 1, -6, 2, 7, 1, 18],\n [-5, -3, -25, 0, 11, 4, -17, 0, 14],\n [-10, 1, 0, 15, 8, -6, -9, -2, -3],\n [7, -6, 11, 8, 9, -13, 16, 11, 2],\n [-5, 2, 4, -6, -13, 0, 5, 9, 23... | 51 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -2, 14, -16, -8, 12, 0, 4, -18],\n [-2, -8, 10, -10, -2, -16, -10, 4, 4],\n [14, 10, -4, 6, -6, 0, 12, 7, -2],\n [-16, -10, 6, -14, -13, 17, -11, -3, 6],\n [-8, -2, -6, -13, 21, -8, -3, 1, 1],\n [12, -16, 0, 17,... | 224 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-14, -2, 25, 18, -4, 0, -4, -19, -11],\n [0, 4, -22, -20, 22, 21, -24, 5, -2],\n [0, 0, 5, -1, -18, -14, -24, -11, 14],\n [0, 0, 0, -5, -4, 7, 3, -11, -5],\n [0, 0, 0, 0, -1, -13, -2, 5, -11],\n [0, 0, 0,... | 20 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, -20, -10, 18, 2, 10, 7, 4, 10],\n [0, -13, 13, -11, 12, 4, -12, 24, -22],\n [0, 0, 19, 24, 10, -22, 17, -12, -1],\n [0, 0, 0, -18, 18, -19, 22, -1, -9],\n [0, 0, 0, 0, -22, -9, 21, -9, 19],\n [0, 0, 0, 0, 0, -4,... | 108 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, -23, 12, -8, 1, -11, 20, -5, -4],\n [0, -15, 17, -14, 22, 13, 1, 9, -24],\n [0, 0, -18, -6, -18, -22, 5, 6, -13],\n [0, 0, 0, 3, 1, -4, -8, -21, -14],\n [0, 0, 0, 0, 0, 13, -11, 22, 7],\n [0, 0, 0, 0, 0, -9, -25, 10, 17],\n ... | 23 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-1, -13, -1, -2, 15, -10, 17, 15, 16],\n [0, -5, 5, -11, 19, 23, 10, 17, -25],\n [0, 0, -23, -11, 7, 6, -3, 0, 22],\n [0, 0, 0, 3, -20, 21, 15, 9, 25],\n [0, 0, 0, 0, 9, 20, -24, 16, -17],\n [0, 0, 0, 0, 0, -25, 14, -4, 22],... | 86 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -6, 25, -19, 17, -3, -25, 13, -23],\n [0, -23, -20, 5, 1, 3, -11, 10, -21],\n [0, 0, -1, 6, -5, 22, -9, -17, 0],\n [0, 0, 0, -3, -15, -16, -3, -21, 0],\n [0, 0, 0, 0, 8, -23, 24, 6, 0],\n [0, 0,... | 91 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-18, 12, -16, 1, -3, 4, -10, 12, -17],\n [12, 12, 10, -4, 0, -1, 16, 1, -21],\n [-16, 10, -2, 10, 12, 0, 1, 0, 8],\n [1, -4, 10, -4, 0, 8, -4, -16, -10],\n [-3, 0, 12, 0, 20, -9, 13, -14, 15],\n [4, -1, 0, 8, -9, 14, -14, 9, 6],... | 51 | MATH |
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