messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, 15, 5, -18, -3, 24, -1, 21, -25],\n [0, -8, -7, 25, 16, -20, -9, 20, 19],\n [0, 0, -17, 11, 1, 10, -20, -20, 19],\n [0, 0, 0, 1, 11, -24, -17, -15, -6],\n [0, 0, 0, 0, 12, 4, 10, 12, 9],\n [0, 0, 0, 0, 0, 6, 3, -3, 10],\... | 99 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -2, -12, 2, -10, 6, 21, -14, -10],\n [0, -21, -14, 3, -21, 16, -9, 21, -18],\n [0, 0, 4, -16, -6, 19, -10, 15, -10],\n [0, 0, 0, -4, 2, 20, 19, 10, -22],\n [0, 0, 0, 0, 14, 20, 14, 20, 13],\n [0,... | 117 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, 17, -8, 10, -2, -25, -25, 20, 10],\n [0, -8, -10, -9, -2, 8, -22, 9, -11],\n [0, 0, 5, -17, -16, -1, 25, -21, -12],\n [0, 0, 0, 14, -24, -8, 3, -6, -18],\n [0, 0, 0, 0, 11, 23, -22, 7, -4],\n [0, 0, 0, 0, 0, -24, -13, 20, 2... | 24 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, -12, 2, 7, 12, -10, -14, -6, 4],\n [-12, -16, -14, -16, 16, 5, 6, -9, 10],\n [2, -14, 24, 14, 7, 2, 10, 2, 2],\n [7, -16, 14, -13, 8, 7, 7, 9, -12],\n [12, 16, 7, 8, -15, -6, 16, 12, -1],\n [-10, 5, 2, 7, -6, -18, 6, 10... | 255 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, -4, 2, 17, -21, 4, -4, -20, 2],\n [-4, -5, -8, 8, -14, 0, -6, -18, 18],\n [2, -8, 21, 6, -6, 6, -12, 0, 0],\n [17, 8, 6, -6, -8, -2, 10, -8, -6],\n [-21, -14, -6, -8, 15, 6, 0, -6, -2],\n [4, 0, 6, -2, 6, 9, 22, -12, 16],... | 254 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-12, 6, -14, -11, -13, -11, -19, -20, 10],\n [6, 9, -5, 4, 12, 4, -10, 14, 4],\n [-14, -5, -4, 1, 18, -8, -4, -4, -21],\n [-11, 4, 1, 11, 2, -5, -10, 6, 0],\n [-13, 12, 18, 2, 0, 2, -2, -8, 15],\n [-... | 234 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, 8, 11, 0, 5, 10, 6, 14, -2],\n [8, -20, 13, -16, 14, 16, 19, -10, 2],\n [11, 13, 2, -6, -11, 2, -4, -13, 10],\n [0, -16, -6, -1, -4, -2, -18, 13, 20],\n [5, 14, -11, -4, -15, 14, 6, -22, -5],\n [10, 16, 2, -2, ... | 262 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[19, -1, -23, 6, 13, -25, -15, -24, -21],\n [0, 20, -13, 22, -3, 21, 5, 9, 12],\n [0, 0, 19, -13, -19, -21, 3, -18, -18],\n [0, 0, 0, -3, 10, 16, 6, 19, -22],\n [0, 0, 0, 0, -21, -23, -4, 2, -4],\n [0, 0, 0, 0, 0, -1... | 154 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, 8, -20, -20, 22, -6, 13, 10, 8],\n [8, 15, -2, -24, 6, -2, 2, 0, 8],\n [-20, -2, 10, -3, -8, -4, 8, -2, 16],\n [-20, -24, -3, 5, -4, 10, 18, 0, -16],\n [22, 6, -8, -4, 0, 0, 4, 16, 16],\n [-6, -2,... | 267 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, -8, 4, -22, -11, -6, 13, -9, -4],\n [-8, -25, 1, 10, 16, 8, 12, 1, -4],\n [4, 1, -9, -22, -18, 13, 22, 1, 3],\n [-22, 10, -22, -16, -5, -4, 16, -16, 10],\n [-11, 16, -18, -5, 1, 14, -2, -4, 2],\n [-6, ... | 60 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, -3, -2, 12, -7, 16, -8, -4, 21],\n [-3, 16, 14, -8, -8, 20, 6, 3, 21],\n [-2, 14, 18, -8, 15, -6, 2, -3, -5],\n [12, -8, -8, -7, -5, 1, -10, 16, -6],\n [-7, -8, 15, -5, -5, 15, -12, -4, -10],\n [16, 20, -6, 1, 15, -... | 56 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, -8, -7, -9, -2, -8, -1, 6, -14],\n [-8, -23, 12, 16, 5, 16, 0, 11, 10],\n [-7, 12, -10, -7, -12, 13, 4, 3, 3],\n [-9, 16, -7, -6, 7, 10, 4, -9, -22],\n [-2, 5, -12, 7, 10, -20, -4, -17, 13],\n [-8, 16, 13, 10, -20, -1... | 59 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[15, 18, 0, 7, 1, 24, -14, -24, -25],\n [0, 7, -4, -14, 13, 10, -5, -6, 10],\n [0, 0, 5, -25, 12, -12, 0, 20, 16],\n [0, 0, 0, -7, -17, 9, -22, 19, 16],\n [0, 0, 0, 0, 2, 14, 25, 3, 16],\n [0, 0, 0, 0, 0, 15, 21, -17, 3],\n [0, 0,... | 16 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-3, -10, 0, -20, 6, 6, -14, -2, -18],\n [-10, 14, -12, 16, -10, -15, -10, -5, -6],\n [0, -12, -9, -4, 2, -15, 8, 16, 6],\n [-20, 16, -4, 23, -12, -5, 10, 0, 0],\n [6, -10, 2, -12, 17, 12, -2, -14, -5... | 249 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[13, 4, -12, -9, 0, 14, -19, 9, -11],\n [4, -3, 9, 2, 5, 0, -16, -4, -4],\n [-12, 9, 22, 2, 2, 1, -10, -5, -14],\n [-9, 2, 2, -5, 18, 2, -18, 0, -13],\n [0, 5, 2, 18, -13, -17, 1, -7, 5],\n [14, 0, 1, 2, -17, 16, -13... | 220 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, 8, 2, 12, -5, -6, -2, 4, 18],\n [8, 0, -3, -3, -2, -20, 2, 4, 5],\n [2, -3, -22, 0, -5, 6, -10, 0, -19],\n [12, -3, 0, 24, -12, -13, -9, -12, 12],\n [-5, -2, -5, -12, 17, -9, 2, -4, -22],\n [-6, -20, 6, -13, -9, -11, -12, 3, ... | 59 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[10, -7, -24, 8, -9, -2, -17, -25, 16],\n [0, -11, -5, -11, -3, -24, 20, 10, 24],\n [0, 0, -24, -8, -9, 15, -18, 8, 8],\n [0, 0, 0, 2, -10, -12, -24, 14, -22],\n [0, 0, 0, 0, 25, 8, 5, 22, -15],\n [0, 0, 0, 0, 0, -13, 1, -18... | 131 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[25, -2, -24, -8, -8, -9, -2, -4, 2],\n [-2, 22, 4, -4, -4, 6, 4, 6, 0],\n [-24, 4, 10, -10, 7, 6, 20, 16, -3],\n [-8, -4, -10, 6, 8, 2, 16, -14, 4],\n [-8, -4, 7, 8, -2, 0, -6, 4, 2],\n [-9, 6, 6, 2, 0, -15, -5, -10... | 231 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[16, -8, 1, -2, -16, -10, 0, -16, 6],\n [-8, -15, -2, 2, -18, 12, 4, 6, 20],\n [1, -2, -22, -8, 18, -14, -7, -8, 6],\n [-2, 2, -8, 2, 8, 0, 0, -11, -5],\n [-16, -18, 18, 8, -7, 11, -6, -10, 0],\n [-10, 12, -14, 0, 11, 15, 4,... | 236 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-15, -20, 10, 21, -3, 6, 10, -17, -6],\n [-20, -16, -16, -2, -5, -1, 18, 10, -1],\n [10, -16, -17, 4, -4, -21, 7, -2, -14],\n [21, -2, 4, 3, -3, 16, -8, 8, -8],\n [-3, -5, -4, -3, -18, -4, 12, -3, 9],\n [6, -1, -21, 16, ... | 58 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[14, -10, -6, 12, 14, -4, 10, 2, 2],\n [-10, -2, 10, 12, -8, 0, 0, -14, 6],\n [-6, 10, -6, 0, 7, -12, 6, -2, -21],\n [12, 12, 0, -7, -6, 14, -14, 6, -6],\n [14, -8, 7, -6, 10, 8, 2, 0, 8],\n [-4, 0, -12, 14, 8, 5, 15, -7,... | 49 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 3, -5, -25, 25, 8, 18, 6, 19],\n [0, 11, 9, -2, 23, -25, 20, -20, 23],\n [0, 0, -25, 15, 5, 10, -17, 15, 19],\n [0, 0, 0, 23, -5, -23, 0, -20, -6],\n [0, 0, 0, 0, -3, -11, 20, 5, -22],\n [0, 0, 0, 0, 0, 22, 13, 1... | 122 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, -7, -17, -8, -11, 9, -11, 3, 8],\n [-7, -25, -2, -4, -11, 12, 6, 5, 10],\n [-17, -2, -5, 21, -7, 4, 5, -6, -4],\n [-8, -4, 21, 6, -14, 12, -8, 1, -15],\n [-11, -11, -7, -14, -2, -6, 0, 8, -8],\n [9, 12, 4, 12, -6, -21, 0, 0, ... | 49 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, 12, 12, 22, -6, 3, 7, 0, 8],\n [12, 16, -2, -12, -8, -15, -14, 2, 1],\n [12, -2, -18, -6, -2, 0, 10, 22, -4],\n [22, -12, -6, 16, 3, 2, 2, -9, -2],\n [-6, -8, -2, 3, 7, 0, -6, 8, 12],\n [3, -15,... | 233 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[15, 2, -3, 0, -4, -10, 4, -4, -2],\n [2, -9, 2, -2, 11, -14, -9, -10, 4],\n [-3, 2, 9, -10, 5, 15, -4, -3, -4],\n [0, -2, -10, 7, 6, -12, 14, -4, -24],\n [-4, 11, 5, 6, 25, -11, -22, 17, -5],\n [-10, -14,... | 48 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, 13, -1, 11, 23, -13, -11, 2, -23],\n [0, -22, 21, 24, -23, 13, -18, 17, -1],\n [0, 0, -21, 7, 20, -1, -1, 9, -11],\n [0, 0, 0, -2, 9, 3, 12, -21, -2],\n [0, 0, 0, 0, -17, 0, -1, 9, 24],\n [0, 0, 0, 0, 0, -11, 23, 5, 11],\n [0... | 22 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[1, 8, -8, 7, -4, 20, -2, 5, 16],\n [8, 4, 13, -14, -17, 6, 11, 8, 20],\n [-8, 13, 2, -10, 4, 15, 13, 0, -4],\n [7, -14, -10, -2, 6, 18, -9, -6, 0],\n [-4, -17, 4, 6, 7, -4, -2, 18, 4],\n [20, 6, 15, 18, -4, -6, -2, ... | 269 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, -1, 6, 0, 12, -4, 16, -21, -2],\n [-1, 18, 3, -6, -10, 16, -8, -23, 4],\n [6, 3, -13, 0, -7, 6, -4, -4, 4],\n [0, -6, 0, -22, 6, -3, -18, -6, -19],\n [12, -10, -7, 6, -25, -16, -8, 0, 1],\n [-4, 16, 6, -3, -16, ... | 261 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, -5, -3, 17, -16, -9, -25, 11, 22],\n [0, -14, 14, 24, -25, -6, 18, 5, -22],\n [0, 0, -4, -25, -25, -23, -14, -5, -13],\n [0, 0, 0, 7, -20, -1, -3, -2, 11],\n [0, 0, 0, 0, 23, -15, 10, -1, -6],\n ... | 90 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, 4, 6, 11, -1, 6, 3, 8, -8],\n [4, 11, 2, -5, -10, -15, 8, -16, -12],\n [6, 2, -24, -4, -10, -2, -9, 12, 8],\n [11, -5, -4, -11, 0, 3, 10, -14, 0],\n [-1, -10, -10, 0, -3, -8, -8, 0, 0],\n [6, -15, -2, 3, -8, 12, 0, 2, 10],\n... | 46 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -2, 18, 24, 15, 3, 13, -20, -12],\n [0, -12, 11, -2, -13, -25, -14, 25, 16],\n [0, 0, -6, -20, -14, -5, -23, 1, 20],\n [0, 0, 0, 20, -11, 13, -22, -9, 12],\n [0, 0, 0, 0, 1, 18, 17, 1, 23],\n [0, 0, 0... | 23 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, 5, 16, 6, 0, -8, 4, -2, 8],\n [5, 1, 6, 2, 2, -2, -19, -2, 0],\n [16, 6, -6, -6, 5, -10, 18, 4, 3],\n [6, 2, -6, 23, -12, -12, 20, 16, -2],\n [0, 2, 5, -12, 23, -16, 7, -2, -16],\n [-8, -2, -10, -12, -16, -7, 9, 0, 1],\... | 234 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, -18, 18, 0, -10, 3, 4, 8, 20],\n [-18, 0, 24, 14, -9, -6, 8, -3, 1],\n [18, 24, -4, 1, -6, -9, 10, -7, 5],\n [0, 14, 1, -7, 18, 17, -11, -7, -10],\n [-10, -9, -6, 18, -14, -8, 11, -2, 9],\n [3, -6, -9, 17, -8, 1, 8, 12,... | 250 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 5, 8, 4, -10, -3, -1, 16, -4],\n [5, -23, 16, -12, 9, 22, 10, -4, 10],\n [8, 16, 16, -6, -4, -2, 16, -8, 10],\n [4, -12, -6, 21, 18, 18, 6, -18, -7],\n [-10, 9, -4, 18, 7, 10, 6, -10, 4],\n [-3, 22, -... | 59 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-21, -2, -17, -14, 8, -18, 10, 0, 12],\n [-2, -8, 10, -5, -10, -7, 9, 9, 0],\n [-17, 10, 4, -16, -16, -1, 0, 9, -8],\n [-14, -5, -16, -11, 22, 6, -2, -19, 7],\n [8, -10, -16, 22, -1, -4, 14, -10, -4]... | 274 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[11, -12, 17, -10, 2, -1, -1, -4, 14],\n [-12, 6, 0, -6, -2, 0, -2, -12, -11],\n [17, 0, 12, 18, -7, 3, 20, -20, -10],\n [-10, -6, 18, -17, -18, 12, -4, 8, -5],\n [2, -2, -7, -18, -3, -2, -2, -10, -6],\n [-1, 0, 3, 1... | 236 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, 6, 9, 9, 2, -22, 2, -1, 4],\n [6, 13, -3, -12, -1, -8, 8, -12, 4],\n [9, -3, 6, -14, -4, -14, -6, -2, 6],\n [9, -12, -14, 7, -19, 8, 20, 0, -6],\n [2, -1, -4, -19, 7, -1, 2, -14, -7],\n [-22, -8, -14, 8, -1, 13, 4, -2, -6],\n ... | 50 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 2, -19, 19, -4, 4, 11, -10, 10],\n [0, 3, 25, -3, -20, 10, 7, 23, 15],\n [0, 0, 17, 0, 11, -13, -9, 6, 6],\n [0, 0, 0, 21, -4, 1, 18, 12, -6],\n [0, 0, 0, 0, 21, -18, 25, -12, 13],\n [0, 0, 0, 0, 0, 1... | 21 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, -6, -6, -12, 10, -14, 6, -1, -10],\n [-6, -13, 2, 2, 10, -16, -10, -9, 2],\n [-6, 2, 3, 16, 1, 8, -3, 20, 3],\n [-12, 2, 16, 20, -8, -8, -18, -10, -14],\n [10, 10, 1, -8, 12, 12, 4, 16, 16],\n [-14, -16, 8, -8, 12, -13... | 263 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[23, 8, 0, -18, -3, 0, 12, 18, 6],\n [8, 19, -14, 0, 6, -6, -16, 0, 16],\n [0, -14, -25, 18, -13, 0, 0, 4, 6],\n [-18, 0, 18, -1, 4, -1, 19, 12, -12],\n [-3, 6, -13, 4, -9, 10, -4, 7, -1],\n [0, -6, 0, -1, 10, 8, -4,... | 247 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 5, -8, -10, -12, -1, -3, -13, -4],\n [5, -4, 2, 0, 9, 5, -10, -16, -8],\n [-8, 2, 10, -5, -19, -8, -14, 8, 6],\n [-10, 0, -5, -21, 10, 4, 4, -7, 16],\n [-12, 9, -19, 10, 21, 9, -12, 5, 17],\n [-1, 5, ... | 50 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[17, 14, -12, -8, 1, 20, -2, -8, 4],\n [14, 8, -6, -17, -12, 2, 14, -6, 0],\n [-12, -6, -8, 8, -6, 2, 2, 16, 2],\n [-8, -17, 8, 18, 8, -11, 6, 4, 4],\n [1, -12, -6, 8, -20, -2, 12, 8, -12],\n [20, 2, 2, -11, -2, -17, 10, -14... | 232 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, -6, -23, 9, -2, 4, 8, -12, 0],\n [-6, 15, -5, 2, 18, 7, -8, -15, -3],\n [-23, -5, 5, -4, 12, 7, 20, -14, 14],\n [9, 2, -4, 0, 10, 10, 5, -9, 0],\n [-2, 18, 12, 10, -8, -2, 8, 6, -20],\n [4, 7, 7, 10, -2, -12, 22, -4, -8... | 240 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-11, 2, -15, 13, -24, 25, -17, 24, 19],\n [0, 7, -7, -13, -12, 6, 23, -4, -6],\n [0, 0, -6, -12, 1, 0, 6, 4, 1],\n [0, 0, 0, -3, 18, 21, -2, -22, 15],\n [0, 0, 0, 0, -10, -19, 13, -4, 15],\n [0, 0, 0... | 65 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, 0, -6, -3, 13, -8, 2, -4, 6],\n [0, 11, 16, -18, 16, 2, -4, -18, -8],\n [-6, 16, 17, 3, 3, 0, -14, 8, 12],\n [-3, -18, 3, 9, 3, -3, 14, 6, 3],\n [13, 16, 3, 3, 9, 12, 10, -13, -4],\n [-8, 2, 0, -3, 12, -18, 14, 4, -22],\n [2... | 52 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[20, 6, 14, 0, -3, 9, -12, 20, -22],\n [6, 6, 8, 2, 2, 0, 4, -19, 4],\n [14, 8, -2, -4, -4, 8, -6, -1, -5],\n [0, 2, -4, -15, -19, -8, 3, 9, -9],\n [-3, 2, -4, -19, 17, -4, 18, 10, 4],\n [9, 0, 8, -8,... | 248 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-23, -4, 12, -13, -3, -10, 16, -4, 0],\n [-4, -7, 2, 16, -4, -10, -16, -4, 4],\n [12, 2, 14, 13, -10, 0, 1, 5, 13],\n [-13, 16, 13, 20, 0, 1, 13, 2, -8],\n [-3, -4, -10, 0, -10, 8, -10, -2, -4],\n [-10, -10, 0, 1, 8, 7, 14, ... | 218 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, -15, 10, 18, 3, 16, 6, -12, -8],\n [0, 11, 8, 19, -3, 6, 20, -23, 17],\n [0, 0, -22, -13, 6, 3, 14, 14, 19],\n [0, 0, 0, -9, 12, -24, -9, 18, 0],\n [0, 0, 0, 0, -17, 2, -4, 3, 9],\n [0, 0, 0, 0, 0, 13, -16, 14, ... | 113 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-11, -10, 11, -15, 3, 25, -20, 4, -16],\n [-10, -22, 2, -10, 10, 2, -10, -2, -16],\n [11, 2, -25, -13, 4, 7, 12, 2, 8],\n [-15, -10, -13, -18, -14, 18, 4, -8, 4],\n [3, 10, 4, -14, 24, 2, 8, 21, -13]... | 278 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, -6, -9, -16, -12, 2, -16, -6, 4],\n [-6, -12, 10, -8, -4, 5, -18, -14, 14],\n [-9, 10, 22, -12, 10, -10, -14, 2, 16],\n [-16, -8, -12, 14, 22, 7, -1, 11, 14],\n [-12, -4, 10, 22, -8, -6, -18, -15, -5],\n [2, 5, -10, 7, -6, -... | 62 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, -1, -8, 8, 12, -23, -6, -7, -13],\n [0, -12, 4, -4, 17, 22, 17, 3, 24],\n [0, 0, -12, 8, -13, -16, -18, -19, -13],\n [0, 0, 0, -11, -24, 11, -7, 7, 13],\n [0, 0, 0, 0, 2, -9, -20, 18, -6],\n [0,... | 110 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 0, 12, -8, 5, -3, -6, 0, -14],\n [0, -11, 20, 8, 5, -12, 8, 6, -12],\n [12, 20, 22, 0, 20, 18, 2, -10, -7],\n [-8, 8, 0, 0, 6, -7, -6, -24, -19],\n [5, 5, 20, 6, 12, -12, 22, -9, -8],\n [-3, -12, 18, -7, -12, 20, 11, -20, 14... | 65 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[9, 16, 0, -13, 2, -16, -13, 4, -1],\n [16, 19, 24, 0, 20, -6, 12, -18, -18],\n [0, 24, 7, 12, -1, 16, 5, 12, 3],\n [-13, 0, 12, 10, 8, 12, -9, -15, -11],\n [2, 20, -1, 8, -13, 14, -12, 12, 4],\n [-16... | 287 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, -4, -15, 6, -5, 8, 16, -5, -23],\n [-4, -1, 4, 4, -2, 12, 0, 12, 6],\n [-15, 4, -8, 0, 7, 18, -16, 2, -20],\n [6, 4, 0, 5, 1, -2, -6, 10, 4],\n [-5, -2, 7, 1, 19, 3, 1, 5, 0],\n [8, 12, 18, -2, 3, 1, 1, -1, -20]... | 230 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, -20, 19, -4, -8, 2, 22, -6, -7],\n [-20, -2, 7, -6, 18, -14, 4, -14, -9],\n [19, 7, 21, 10, 3, -9, 14, -4, -2],\n [-4, -6, 10, -3, -4, 5, 6, 2, 2],\n [-8, 18, 3, -4, 19, 2, -10, -7, 10],\n [2, -14, -9, 5, 2, -23, 16, 10... | 239 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[24, 0, 16, 6, 20, 9, -2, -4, -6],\n [0, -13, 9, 18, -12, -6, -8, 8, 4],\n [16, 9, -6, 7, 0, 2, -6, -7, 2],\n [6, 18, 7, 18, 17, -10, 14, -8, 12],\n [20, -12, 0, 17, 20, -20, 2, -4, 0],\n [9, -6, 2, -10, -20, 21, 3, -1, 4],\n [-2... | 59 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[14, 8, 12, 15, 17, 2, -11, 8, -8],\n [8, -23, -8, 24, -10, 8, 16, 5, 6],\n [12, -8, -16, 1, 1, 16, 2, 2, -14],\n [15, 24, 1, -2, -14, -12, 8, -2, -12],\n [17, -10, 1, -14, -6, 11, -7, 16, 4],\n [2, 8, 16, -12, 11, -11, 6, -... | 260 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[17, -11, -4, 1, -16, 12, 3, 8, 2],\n [-11, 13, 4, 0, -13, 8, -15, 2, -2],\n [-4, 4, 1, -4, 4, -4, 4, -6, -1],\n [1, 0, -4, 9, 8, -6, -2, 3, 7],\n [-16, -13, 4, 8, 6, -2, 1, 0, -4],\n [12, 8, -4, -6, -2, 13, -14, -5, -8],\n [3, -... | 41 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-12, -10, 17, 8, 6, 8, 0, 4, 9],\n [-10, -22, -19, 0, 4, -7, -16, 18, 2],\n [17, -19, 23, -2, -8, 10, 10, 18, 17],\n [8, 0, -2, -22, 2, -20, -8, -9, 5],\n [6, 4, -8, 2, 13, 12, 10, 18, 2],\n [8, -7, 10, -20, 12, 2, -14, 8, 2],\n... | 54 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, 2, 2, 19, 12, -20, 16, 3, 8],\n [0, -20, 22, 12, -13, 10, -11, -20, 7],\n [0, 0, 17, -13, 7, 25, 2, 10, -21],\n [0, 0, 0, -7, 9, 17, 8, 20, -20],\n [0, 0, 0, 0, -7, 7, 0, 15, 23],\n [0, 0, 0, 0, 0, -... | 21 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, -6, 12, 7, -24, 6, 4, 0, 0],\n [-6, 3, -4, 22, 0, -22, 3, -10, -11],\n [12, -4, -13, 12, 18, -20, 10, 1, -14],\n [7, 22, 12, 9, -20, -20, 2, 5, 11],\n [-24, 0, 18, -20, 21, -6, 8, 2, -10],\n [6, -22, -20, -20, -6, 9, -8, ... | 267 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-13, -3, -1, 24, -10, 22, -5, -16, 15],\n [0, -7, 9, 2, 15, -24, 25, 4, 14],\n [0, 0, -21, 12, 16, -11, 10, -23, -2],\n [0, 0, 0, 21, 15, 23, -14, -18, -12],\n [0, 0, 0, 0, -3, -21, -25, 19, 20],\n [0, 0, 0, 0, 0, -... | 112 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[16, 11, -14, -1, 4, -11, 10, -18, 2],\n [0, 23, 12, -10, -21, 20, 8, 23, 12],\n [0, 0, -1, -1, -25, 5, -21, 14, -22],\n [0, 0, 0, -10, -8, 17, -9, 9, -8],\n [0, 0, 0, 0, -17, 5, -21, 10, -10],\n [0, 0, 0, 0, 0, 0, 23, 5, 24... | 102 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-17, 2, 8, -2, -2, 7, -13, 6, 1],\n [2, -3, 2, 11, 8, -10, -4, -1, 10],\n [8, 2, 17, 17, 2, 14, -2, 0, 12],\n [-2, 11, 17, -14, 12, 20, -10, 10, 11],\n [-2, 8, 2, 12, -25, -16, 0, 1, 17],\n [7, -10, 14, 20, -16, 20, 0, -16, -6],\... | 54 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, -4, -2, 4, -20, -8, 7, 6, 0],\n [-4, -11, 18, 5, 2, 12, 2, -4, -24],\n [-2, 18, 9, 0, -10, -1, 19, 3, -13],\n [4, 5, 0, 18, 14, 13, -6, 10, -12],\n [-20, 2, -10, 14, -23, 12, 10, 8, -18],\n [-8, 12, -1, 13, 12, -... | 267 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[23, 6, 15, -5, -1, -9, -1, 7, 5],\n [0, -3, 21, 18, -1, 23, 18, 22, 4],\n [0, 0, 21, 3, -10, 12, 1, 0, -15],\n [0, 0, 0, 0, 8, 7, -11, -24, 2],\n [0, 0, 0, 0, 20, -22, -18, 18, 20],\n [0, 0, 0, 0, 0, 18, 16, 25, -13],\n ... | 23 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[19, -20, -20, 24, 11, 23, -23, 11, 5],\n [0, 19, -11, -9, -11, -21, -4, 20, -15],\n [0, 0, 13, -23, 16, -15, 4, 12, -21],\n [0, 0, 0, 25, 25, -5, 11, -1, -5],\n [0, 0, 0, 0, 21, 9, -3, -19, 20],\n [0, 0, 0, 0, 0, -22, 23... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, 8, -1, -10, -12, 12, -6, 3, -12],\n [8, 16, -4, 12, 18, -14, -13, -10, 8],\n [-1, -4, 12, 12, 24, 6, -6, -14, 14],\n [-10, 12, 12, 12, -14, 14, 4, 4, -8],\n [-12, 18, 24, -14, -16, 4, 8, 4, -9],... | 270 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, 8, 9, 13, 10, -2, -2, -8, -4],\n [8, -13, 17, -8, 6, 14, 4, -3, -8],\n [9, 17, 3, -14, 13, 17, 10, -6, -13],\n [13, -8, -14, -23, 3, 11, -10, 14, 9],\n [10, 6, 13, 3, 18, 16, -11, 16, 2],\n [-2, 14, 17, 11, 16,... | 257 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 3, -6, -10, 4, 4, 12, 6, -14],\n [3, -25, -4, -12, 2, -17, -14, 7, 6],\n [-6, -4, 18, 3, -13, 1, 16, 3, 8],\n [-10, -12, 3, 16, 16, -11, -4, 17, -3],\n [4, 2, -13, 16, 14, 17, 0, 5, -10],\n [4, -17, 1, -11, 17, 9, 2, -7, 1],... | 54 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[19, -2, 2, -2, 6, -9, -8, 2, 13],\n [-2, 18, -2, -20, 10, 14, -3, 8, 18],\n [2, -2, 14, 6, -10, 21, -6, -6, -4],\n [-2, -20, 6, -8, -12, -7, 4, -8, 12],\n [6, 10, -10, -12, -4, -4, -6, 6, 6],\n [-9, 14, 21, -7, -4, 19, 1, 4, -16]... | 58 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 19, -4, -25, -1, 15, 2, 11, -15],\n [0, -1, -5, 10, -6, -10, 2, 3, 24],\n [0, 0, -24, 23, -16, -13, -11, -17, 1],\n [0, 0, 0, 24, -2, -23, 0, 10, -5],\n [0, 0, 0, 0, 20, 22, -12, 7, -24],\n [0, 0, 0, 0, 0, -14, 11, 3... | 24 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-15, 22, 4, -22, 8, -3, 6, -23, 2],\n [0, 24, -14, -2, 7, -23, -22, 4, -20],\n [0, 0, -18, -8, -10, -20, -2, 25, 2],\n [0, 0, 0, -5, -18, 10, -17, 14, -5],\n [0, 0, 0, 0, 0, 14, -23, 18, -17],\n [0, 0, 0, 0, 0, 0, -24, -24,... | 87 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-18, -4, -15, -20, 2, -1, -9, 18, 2],\n [-4, 13, 4, -6, -8, 15, 4, 6, 2],\n [-15, 4, 11, 16, 10, -6, -6, -16, 5],\n [-20, -6, 16, -19, -20, 6, 10, -16, -10],\n [2, -8, 10, -20, 25, -13, -11, -16, 10]... | 279 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[25, 4, 6, 10, -10, -16, 2, -7, 17],\n [4, 21, -7, 5, 1, -3, 2, -10, 10],\n [6, -7, -7, 0, -12, 19, -5, -2, 12],\n [10, 5, 0, 12, 16, 8, -8, 12, 7],\n [-10, 1, -12, 16, -23, -2, -14, -12, -2],\n [-16, -3, 19, 8, -2, 3, -10, 8, 0]... | 50 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 1, 20, 16, 0, 18, -2, 0, -24],\n [1, -6, -15, -19, 14, 14, -2, 12, 8],\n [20, -15, 17, 12, 6, -7, 12, -14, 20],\n [16, -19, 12, 22, -3, -9, 0, -6, -14],\n [0, 14, 6, -3, 5, -3, -8, -2, -16],\n [18, 14, -7, -9, -3, -18, -9, 6,... | 66 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 7, 12, 8, 12, -11, 16, -12, 16],\n [7, -11, 4, 9, 16, -4, 21, 6, -6],\n [12, 4, 6, -14, -16, 2, -4, 13, -1],\n [8, 9, -14, -22, 4, -6, 3, -12, -10],\n [12, 16, -16, 4, -20, 25, 4, 6, -2],\n [-11, -4, 2, -6, 25, -6, 1... | 60 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[13, 7, -8, -10, 16, -16, -3, -14, -12],\n [7, 13, 2, 2, -10, -2, 1, -2, -6],\n [-8, 2, -4, 6, -6, 3, -5, 6, -7],\n [-10, 2, 6, -1, -12, 1, -10, 2, 9],\n [16, -10, -6, -12, 19, 2, -6, -6, 12],\n [-16, -2, 3, 1, 2, -21, -3, -6... | 191 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 13, 12, -12, -10, 10, 13, 5, -12],\n [13, 24, -12, 10, -20, 4, -2, 12, 9],\n [12, -12, -10, -12, 0, -6, 10, -11, 18],\n [-12, 10, -12, 21, 2, -13, 22, -20, 0],\n [-10, -20, 0, 2, 1, 12, -22, 8, 0]... | 277 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-17, 18, -23, -13, -20, 12, -5, -7, -1],\n [0, -22, -4, -21, -25, 24, -9, -17, -17],\n [0, 0, -6, -9, -13, 3, 10, -3, 1],\n [0, 0, 0, -23, -19, -11, 4, -17, 15],\n [0, 0, 0, 0, -9, -20, 13, -1, 16],\... | 117 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-15, 0, -2, 2, -9, 4, -10, 8, -16],\n [0, -23, -16, -6, 12, 3, -5, 8, 16],\n [-2, -16, -3, 10, -10, 6, -4, -8, 2],\n [2, -6, 10, -25, 13, 2, 5, 19, 1],\n [-9, 12, -10, 13, 8, -3, 16, 18, 4],\n [4, 3, 6, 2, -3, -25, -12, 12, -12],... | 54 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -2, 18, 10, -14, -12, -18, -2, -18],\n [-2, -11, -4, -10, -15, -2, -6, -10, 18],\n [18, -4, -2, -2, -8, -19, -7, -6, 11],\n [10, -10, -2, -11, 10, -4, 4, 4, -3],\n [-14, -15, -8, 10, -17, -4, -9, 4, 14],\n [-12, -2, -19... | 224 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, 2, -2, -6, 0, -1, -6, 12, -8],\n [2, -18, -12, 0, 4, 0, -9, 22, -8],\n [-2, -12, -9, 9, 12, -8, -2, 4, 10],\n [-6, 0, 9, 0, -12, 1, -8, -6, -18],\n [0, 4, 12, -12, 23, -10, 10, -20, -15],\n [-1, 0, -8, 1, -10, -2, -2, -7, 12... | 54 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-14, 2, -2, 18, 8, 2, 13, 8, 2],\n [2, -10, 8, -7, 2, -9, 18, -8, -4],\n [-2, 8, -3, -6, -6, 4, -8, 7, -10],\n [18, -7, -6, -11, 2, 4, -3, 2, -2],\n [8, 2, -6, 2, -4, 8, 3, -6, 8],\n [2, -9, 4, 4, 8, -10, 10, 14, 14],\n [13,... | 193 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[1, 2, -1, 8, 20, 4, -5, 8, -10],\n [2, -19, -8, 4, 23, -1, 17, 4, -2],\n [-1, -8, -23, 5, 6, 12, -8, -10, -10],\n [8, 4, 5, -21, -6, -2, -15, -13, -2],\n [20, 23, 6, -6, 4, 5, 8, 2, 5],\n [4, -1, 12, -2, 5, 19, -1, -2, -... | 50 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-20, 0, -12, -18, -2, -4, 14, 13, 23],\n [0, 17, 0, -16, -13, 16, -12, -17, -19],\n [0, 0, 24, -10, -18, 22, 25, -11, -1],\n [0, 0, 0, -11, -1, -19, 0, -18, -8],\n [0, 0, 0, 0, -25, -13, 6, -14, 5],\n [0, 0, 0, 0, 0... | 153 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-25, -4, 0, 2, -12, -12, 6, 16, -15],\n [-4, 11, 13, -4, -16, 14, 16, 16, 7],\n [0, 13, 13, -10, -6, 19, -16, -10, 0],\n [2, -4, -10, 24, -9, 16, 2, -2, -2],\n [-12, -16, -6, -9, -14, -5, -18, 18, 10],\n [-12, 14, 19, 16, -5, -21... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[20, -4, 23, -3, -14, -5, -7, -21, -2],\n [0, -18, -24, 23, 8, -3, -23, -2, -8],\n [0, 0, 23, 5, -12, -25, -12, 15, -21],\n [0, 0, 0, 10, -25, -23, -6, 17, 22],\n [0, 0, 0, 0, 18, 4, -21, -16, -2],\n ... | 164 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[22, 0, -20, 12, -6, -15, 0, 4, -16],\n [0, -22, -12, 6, -18, -22, 0, -14, 6],\n [-20, -12, 12, 13, -1, 2, -6, -15, -12],\n [12, 6, 13, -18, 6, 6, 6, -18, -13],\n [-6, -18, -1, 6, -17, -14, -6, 13, 0],\n [-15, -22, 2, 6, -14... | 267 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, 4, -2, 19, 6, 4, -6, -6, -19],\n [4, 0, -2, 12, -15, -6, -14, 2, -10],\n [-2, -2, 7, -2, -14, 4, 12, 13, -3],\n [19, 12, -2, 10, -12, -8, 18, 4, 8],\n [6, -15, -14, -12, 14, -4, -2, 4, -18],\n [4, -6, 4, -8, -4, 16, -12,... | 252 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, 1, -7, 14, -8, -4, 8, 6, 10],\n [1, 22, -6, 10, 0, -8, 3, 3, -12],\n [-7, -6, -12, 4, 16, 13, -11, 18, -1],\n [14, 10, 4, -1, 6, 3, 12, 10, 0],\n [-8, 0, 16, 6, 5, -7, 12, 14, -2],\n [-4, -8, 13, 3, -7, -22, 14, 15, 10],\n [8... | 53 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[17, 8, 11, 5, 0, 8, 0, 4, 20],\n [8, -9, -18, -4, 4, -8, -2, -18, -12],\n [11, -18, 18, 11, 4, -8, 0, 22, 2],\n [5, -4, 11, -12, 8, -6, -4, 18, -16],\n [0, 4, 4, 8, 0, 1, -5, -2, -16],\n [8, -8, -8, -6, 1, 11, -15, 13, -... | 54 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, 8, -16, 2, 10, -14, -7, -9, 13],\n [8, -23, 13, -6, -8, 22, 2, 8, 7],\n [-16, 13, 5, 0, 19, 14, 0, -8, -4],\n [2, -6, 0, -4, -18, 13, -8, -1, -20],\n [10, -8, 19, -18, 13, -4, 0, 2, -6],\n [-14, 22, 14, 13, -4, 14, 1,... | 53 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[10, 9, 21, 21, 24, -19, 11, -18, -1],\n [0, -16, 4, 7, -15, 9, 1, -23, 21],\n [0, 0, -18, -13, 16, -23, -6, 20, 19],\n [0, 0, 0, -2, -17, 4, -1, -10, -18],\n [0, 0, 0, 0, -2, 23, 3, -11, -8],\n [0, 0, 0, 0, 0, -21, 0, -24, 7],\n ... | 21 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -6, -4, 6, 4, -9, 1, 2, -2],\n [-6, -21, 14, 5, 9, -1, 6, -6, 10],\n [-4, 14, -3, -8, 1, 1, 18, 5, -8],\n [6, 5, -8, -13, 2, 1, -2, -7, -1],\n [4, 9, 1, 2, 19, -4, 4, -16, 0],\n [-9, -1, 1, 1, -4, -25, 6, -20, 10],\n [1, 6, 1... | 48 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[6, -14, -6, 21, 19, -14, -18, -4, 1],\n [0, 15, -9, 6, 7, 5, -20, 13, -17],\n [0, 0, 10, -10, -14, 15, -23, 1, 1],\n [0, 0, 0, -21, 0, -5, -25, -25, 9],\n [0, 0, 0, 0, -22, -7, 11, -21, 2],\n [0, 0, 0, 0, 0, -3, 20, -8, 3],\n [0,... | 24 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[17, 2, 12, -14, -4, 4, 0, -10, -12],\n [2, -19, 15, -8, -15, -5, 6, -2, -10],\n [12, 15, -13, 13, 14, 8, 11, -18, -12],\n [-14, -8, 13, -20, -11, 6, -16, 8, 18],\n [-4, -15, 14, -11, 20, -2, 10, 18, 8],\n [4, -5, 8,... | 262 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-20, -13, -25, -4, -2, 15, 4, -4, 18],\n [0, 0, -22, -7, -10, -14, 7, -5, 10],\n [0, 0, 16, 19, -18, -6, -16, 6, 2],\n [0, 0, 0, 7, 21, 23, -13, 18, 9],\n [0, 0, 0, 0, 11, 15, -20, 22, 16],\n [0, 0, 0, 0, 0, -3, 21, -15, 3],\n [0... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[25, 11, -15, -19, 9, -15, 23, 17, 21],\n [0, 14, 22, -5, 21, -23, 4, -2, 12],\n [0, 0, 7, -4, 5, 20, -14, 19, -12],\n [0, 0, 0, -2, 12, 21, 22, -17, -18],\n [0, 0, 0, 0, 23, -10, -2, 17, -19],\n [0, 0, 0, 0, 0, -23, -25, 5, ... | 143 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 2, -5, -18, 6, 5, 14, 6, -4],\n [2, 3, 6, 0, -10, 2, -20, -6, -2],\n [-5, 6, 6, 2, 8, 2, 14, -3, -10],\n [-18, 0, 2, -19, 8, -7, -2, -20, 6],\n [6, -10, 8, 8, -6, 6, 4, -10, -14],\n [5, 2, 2, -7, 6, -7, -22, 7, 4],\n ... | 46 | MATH |
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