messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, -22, -13, 4, 10, 6, 13, 3, -20],\n [-22, 17, -14, -2, 10, 1, 1, -6, 20],\n [-13, -14, -24, -10, 16, 0, 9, -2, 11],\n [4, -2, -10, -2, 18, -4, -12, -1, -3],\n [10, 10, 16, 18, -1, 19, -15, -4, -22],\n [6, 1, 0, -4... | 255 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 19, 3, 11, 4, 0, -7, -18, -8],\n [19, 5, -6, -11, -12, -10, -14, 10, 22],\n [3, -6, 6, 14, -10, 18, -11, 8, 2],\n [11, -11, 14, -2, -7, 7, 8, -1, 0],\n [4, -12, -10, -7, -1, -4, 4, 1, 4],\n [0, -10, 18, 7, -4, 23, 8, ... | 52 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 9, 4, 16, 7, 9, 10, 10, 13],\n [9, -4, -12, 20, 0, -2, -4, -2, -4],\n [4, -12, -2, 15, -18, 4, -1, 0, -6],\n [16, 20, 15, -13, -2, -6, -8, 0, -14],\n [7, 0, -18, -2, -18, -9, 20, -10, 0],\n [9, -2, 4, -6, -9, 11, -6, 20, -18]... | 51 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[20, 13, -3, 9, -10, -11, -20, 10, -8],\n [13, -22, -18, -4, -18, -7, -6, -8, -8],\n [-3, -18, -8, 8, 2, 2, -4, 13, -2],\n [9, -4, 8, -23, -2, 10, -16, -5, -5],\n [-10, -18, 2, -2, 13, 14, 7, -9, 0],\n [-11, -7, 2, 1... | 225 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[22, 23, 14, -11, 4, -5, -18, -19, 15],\n [0, 16, 11, 22, 6, 7, -20, 16, -16],\n [0, 0, 19, 0, -7, 9, 19, -22, -1],\n [0, 0, 0, -2, -9, -1, 7, 1, -24],\n [0, 0, 0, 0, -21, 21, -6, -2, 5],\n [0, 0, 0, 0, 0, -12, 10, 25, -2... | 22 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-17, -22, 8, 13, -8, 8, 8, 16, -23],\n [0, 8, 0, 9, 15, 17, 5, 17, 1],\n [0, 0, -14, 21, -3, -9, -10, -9, -11],\n [0, 0, 0, -9, -25, 4, 6, 4, 16],\n [0, 0, 0, 0, 9, -25, -7, 7, -7],\n [0, 0, 0, 0, 0, -12, -2, 9, -7],\n [0, ... | 98 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, -17, -18, 2, 6, -12, -6, -14, 3],\n [-17, -25, 7, -9, 16, -7, 2, -2, -16],\n [-18, 7, 23, 2, 10, -7, -3, -16, 2],\n [2, -9, 2, 2, -6, -3, 6, -2, 11],\n [6, 16, 10, -6, 1, -12, -2, 0, -14],\n [-12, -7, -7, -3, -12, 10, 2, -4,... | 57 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-23, 14, -1, 8, -8, 2, 0, 16, 8],\n [14, 16, -6, -16, 14, 8, -10, -4, 14],\n [-1, -6, -12, 6, -4, 8, 12, 15, 18],\n [8, -16, 6, -21, 2, 1, 2, 1, -8],\n [-8, 14, -4, 2, -19, 12, -21, 11, 12],\n [2, 8, 8, 1, 12, -16, 0, 10, 2],\n [... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[15, -7, -19, 21, 9, 0, 18, -3, 8],\n [0, -19, -15, 25, -18, -13, 6, 15, 8],\n [0, 0, 17, -2, 21, -5, -8, -12, -7],\n [0, 0, 0, 8, 23, 0, -4, -6, 3],\n [0, 0, 0, 0, 1, 9, 3, -20, 11],\n [0, 0, 0, 0, 0... | 97 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[25, -11, 9, -9, 22, -13, -4, 14, -5],\n [0, 20, -22, -19, -16, -11, 0, -10, 14],\n [0, 0, 12, -10, 8, 3, -8, -15, -14],\n [0, 0, 0, 12, 7, -17, -11, 2, -18],\n [0, 0, 0, 0, 16, 24, 24, -7, -22],\n [0, 0, 0, 0, 0, 19... | 142 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, -23, 15, 5, -23, 12, -2, 0, 15],\n [0, 2, -17, 11, 1, 22, -23, 15, 23],\n [0, 0, 9, -19, -19, -5, 6, 12, -6],\n [0, 0, 0, -11, -20, 22, 6, -21, 18],\n [0, 0, 0, 0, -7, -16, -19, 19, -25],\n [0, 0, 0, 0, 0, -20, 4, 20, 21],\n ... | 20 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-13, 18, -4, -4, -12, -16, 17, 6, -16],\n [18, -13, 4, 4, -12, 6, 0, -22, 0],\n [-4, 4, -15, -3, 12, -7, 0, 12, -9],\n [-4, 4, -3, 7, -8, 3, -10, 10, 4],\n [-12, -12, 12, -8, -20, 12, 9, -3, -16],\n [-16, 6, -7, 3, 12, -24,... | 260 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[9, 0, 9, -16, 19, -4, -11, -2, -1],\n [0, 8, 4, -4, 6, 16, 16, -18, -2],\n [9, 4, 7, 18, 2, -2, 5, -4, -10],\n [-16, -4, 18, 23, -4, 2, 8, -2, 10],\n [19, 6, 2, -4, 14, -7, 4, 24, 16],\n [-4, 16, -2, 2, -7, 1, 6, -4, -11],\n... | 273 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, 1, -1, -4, 8, -8, 15, -10, 3],\n [0, 4, -6, 21, -4, 16, 8, -22, 24],\n [0, 0, 24, -12, -18, 11, -21, -18, -15],\n [0, 0, 0, -13, 23, -7, -23, 8, 12],\n [0, 0, 0, 0, 25, 13, -12, -19, -6],\n [0, 0, 0, 0, 0, 5, -11, 18, ... | 125 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[6, 14, -2, 8, -1, 3, 18, 14, -1],\n [14, 10, -14, -10, 5, 4, -16, 4, 1],\n [-2, -14, -24, 12, 2, 22, 8, 4, -16],\n [8, -10, 12, 19, 0, 21, -8, 4, -24],\n [-1, 5, 2, 0, 3, 6, -4, 0, 14],\n [3, 4, 22, 21, 6, -23, 3, 12, 8],\n [18, ... | 57 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 16, 21, 1, 2, 5, 21, -19, -18],\n [0, -15, 22, 0, -1, -19, -6, 15, 25],\n [0, 0, -8, -18, 3, 14, -4, 6, 14],\n [0, 0, 0, -19, -23, -11, 17, 8, -4],\n [0, 0, 0, 0, 10, 20, 13, 21, 12],\n [0, 0, 0,... | 94 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-19, -9, 16, -14, 4, 22, 8, -4, -5],\n [0, -14, -9, -10, -21, -7, 2, -9, -4],\n [0, 0, -11, -7, 21, 24, 0, 18, 18],\n [0, 0, 0, -16, -4, 21, -15, 0, -25],\n [0, 0, 0, 0, 19, -9, -11, -5, -25],\n [0, 0, 0,... | 19 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, -22, 6, 3, 4, -23, -21, -7, -18],\n [0, 5, 1, -13, 16, -20, -25, 4, -15],\n [0, 0, -10, -11, -21, -11, -25, -11, 10],\n [0, 0, 0, -4, 1, 8, 4, -14, -24],\n [0, 0, 0, 0, 25, -9, 9, 16, 19],\n [0, 0, 0, 0, 0, -9, -18, 24, -19]... | 25 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, 12, 0, 14, 6, -19, 10, -18, 6],\n [12, 24, 4, -7, 3, 4, 6, -13, -4],\n [0, 4, 2, -2, 10, -5, 0, 14, -15],\n [14, -7, -2, -22, -3, 24, 0, -11, 2],\n [6, 3, 10, -3, -22, -10, -8, -2, -18],\n [-19, 4, -5, 24, -10, -20, 16, ... | 271 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, -4, -20, 20, -12, 6, -4, 9, 4],\n [-4, -6, -5, -10, 2, -21, 4, 22, 17],\n [-20, -5, -4, -14, 2, -6, -20, 8, 10],\n [20, -10, -14, -20, 4, -8, 7, 5, 2],\n [-12, 2, 2, 4, 20, -14, -20, -8, 20],\n [6, -21, -6, -8, -14, -2, 9, -... | 60 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 0, 16, -10, 1, 5, 0, -23, -12],\n [0, -21, -19, 4, -6, -6, -13, 5, 4],\n [16, -19, -3, 1, 3, -11, -4, 5, -12],\n [-10, 4, 1, 18, 14, -18, -10, -6, 10],\n [1, -6, 3, 14, -9, -20, -1, 2, -4],\n [5,... | 270 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[21, 0, -2, 15, -4, 10, -2, 4, -6],\n [0, 14, 4, 0, -4, -3, -12, -16, 12],\n [-2, 4, 8, 1, -17, 0, -13, 6, 18],\n [15, 0, 1, 18, 6, 16, 3, -20, 0],\n [-4, -4, -17, 6, -3, -2, 21, -7, -5],\n [10, -3, 0, 16, -2, -11, 6, -20, -6],\n ... | 62 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-22, 8, -6, 18, 22, 4, 12, 2, -9],\n [8, 23, 20, 1, -7, 0, 7, 4, 8],\n [-6, 20, -3, -8, 4, 6, 2, 12, -2],\n [18, 1, -8, -22, 1, -9, 24, 4, -18],\n [22, -7, 4, 1, -6, 7, 4, 4, -14],\n [4, 0, 6, -9, 7, -12, 1, 4, 0],\n [12, 7, 2, 2... | 51 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, -16, -21, 23, 13, 8, 12, -16, -17],\n [0, -21, 9, -15, 16, -10, 1, -6, 25],\n [0, 0, -15, -11, 13, 14, 22, -8, -2],\n [0, 0, 0, -15, 7, -10, 10, -3, -20],\n [0, 0, 0, 0, -20, -16, -4, -3, -21],\n ... | 137 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[15, 0, 4, -7, 9, -9, 6, -1, -12],\n [0, -7, 12, -12, 1, 14, -17, 2, -22],\n [4, 12, 2, 4, -12, 0, 8, -7, -10],\n [-7, -12, 4, -23, -14, -12, 17, 2, 16],\n [9, 1, -12, -14, -15, -5, 15, 4, -12],\n [-9... | 273 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 15, -5, 6, -14, 11, 14, 21, -19],\n [0, 19, 5, -25, -15, 19, 8, -7, -15],\n [0, 0, -18, 19, -18, 8, 14, 1, 3],\n [0, 0, 0, 11, -25, -17, -16, 4, 17],\n [0, 0, 0, 0, -2, 10, 7, 7, -8],\n [0, 0, 0, 0, 0... | 24 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[13, 4, 3, -4, -5, 17, -8, -14, 20],\n [4, 20, 0, -2, -2, -2, 10, -2, -8],\n [3, 0, -21, -3, -14, -4, 2, -5, 16],\n [-4, -2, -3, -23, -2, -3, 8, 14, 4],\n [-5, -2, -14, -2, 7, -16, -16, 5, 8],\n [17, -2, -4, -3, -16,... | 242 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 25, -15, 12, 25, -12, 2, 1, -4],\n [0, -2, -7, -2, 0, -1, 19, 18, 3],\n [0, 0, -15, -2, -2, -14, -19, 14, -9],\n [0, 0, 0, -11, 6, -3, -19, 12, 5],\n [0, 0, 0, 0, 1, -22, -5, -17, 23],\n [0, 0, 0, 0, 0... | 20 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-24, -12, -2, -4, 2, 17, -18, -11, 6],\n [-12, 13, 16, -2, -16, 6, 12, 18, -13],\n [-2, 16, -12, -4, 8, 16, 12, -1, -8],\n [-4, -2, -4, 24, -6, -7, 2, 17, -11],\n [2, -16, 8, -6, 24, 23, 1, -9, -8],\... | 259 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-3, -6, 20, 1, 10, -2, 16, 13, 14],\n [-6, -3, -8, 13, -2, 5, -10, 12, 16],\n [20, -8, -6, -16, 6, -1, -6, -14, -8],\n [1, 13, -16, -12, -3, 16, 17, 16, 10],\n [10, -2, 6, -3, 10, 0, -20, -6, 0],\n [-2, 5, -1, 16, 0, 16, 12... | 259 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-25, 4, -6, 8, 10, 4, -6, -12, 16],\n [4, 11, -8, 0, 5, -10, -1, 2, 11],\n [-6, -8, -17, 8, 10, -9, 4, -7, 2],\n [8, 0, 8, 24, -10, 11, 16, 6, 0],\n [10, 5, 10, -10, -3, 12, -6, 0, -13],\n [4, -10, -9, 11, 12, -9, -... | 224 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[21, 5, -9, -11, 0, 1, -8, -20, 5],\n [5, -13, -12, 10, 16, 0, 8, 1, 10],\n [-9, -12, 6, -18, 20, 4, -6, -12, -9],\n [-11, 10, -18, 9, -15, 6, 10, -11, -4],\n [0, 16, 20, -15, -3, -22, 10, -14, 2],\n [1, 0, 4, 6, -22, -4, -11... | 268 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-25, 16, 9, -4, 0, 9, 2, -16, 16],\n [16, -16, -18, -10, -7, -3, -4, 1, 21],\n [9, -18, -6, 0, 12, 24, 2, 8, 7],\n [-4, -10, 0, 25, 20, 5, -1, -16, -2],\n [0, -7, 12, 20, -8, 6, -1, 8, -6],\n [9, -3, 24, 5, 6, 23, 2, 2, 5],\n [2... | 52 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-15, 2, -19, 24, 12, -2, 5, -22, 11],\n [0, -20, 20, 7, 6, 20, 12, 9, -9],\n [0, 0, -7, -2, 13, -15, -19, 19, -2],\n [0, 0, 0, -15, -18, 18, -11, 16, -24],\n [0, 0, 0, 0, -9, -16, -4, -20, 1],\n [0, ... | 103 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -14, -9, -2, 10, 2, 2, 5, -4],\n [-14, -5, 13, -11, -11, -1, -22, 6, 13],\n [-9, 13, -7, -6, -4, 2, 20, -10, -6],\n [-2, -11, -6, 9, 8, -5, -15, 8, 14],\n [10, -11, -4, 8, -18, -3, -16, 10, 21],\n [2, -1, 2, -5, -3, 14,... | 229 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 14, -6, 8, -18, 6, 4, 3, -21],\n [0, -14, 13, 1, -13, 21, -16, 10, 5],\n [0, 0, 19, 10, 0, 18, -6, 8, 11],\n [0, 0, 0, 5, -24, -1, 12, -23, 20],\n [0, 0, 0, 0, -10, -17, 22, -17, 23],\n [0, 0, 0, 0, 0... | 19 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-25, -18, 14, 10, -20, -2, -4, 5, -16],\n [-18, -21, 17, -4, 8, 2, 10, 23, -6],\n [14, 17, -19, 18, -2, -4, -12, -4, -22],\n [10, -4, 18, 11, 6, -2, 2, -6, -5],\n [-20, 8, -2, 6, -3, -8, -8, 10, 18],\n [-2, 2, -4, -2, -8, 8,... | 264 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[20, -9, -17, 5, 9, -23, -13, 11, 12],\n [0, -20, 3, 23, -17, 10, -3, -11, 24],\n [0, 0, -19, 21, -1, 11, -3, -15, 20],\n [0, 0, 0, 13, -25, 18, -13, -10, 20],\n [0, 0, 0, 0, 20, -14, 2, -4, -6],\n [0, 0, 0, 0, 0, -11, 4, 3, ... | 144 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, -8, 18, 15, 4, 3, 4, 12, 10],\n [-8, -24, 9, 6, -24, 12, -25, -2, 8],\n [18, 9, 7, 10, 3, 6, -6, 6, -2],\n [15, 6, 10, -15, -5, 7, -2, 0, 5],\n [4, -24, 3, -5, 2, 4, -14, 16, -4],\n [3, 12, 6, 7, 4, 11, -10, -10, 1],\n [4, -... | 60 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -18, 16, 3, 24, -20, 9, -4, -9],\n [-18, 4, 8, -7, -4, 2, -3, 4, 2],\n [16, 8, -25, -20, 0, 14, -2, 2, -16],\n [3, -7, -20, -15, -4, 11, 2, -2, 14],\n [24, -4, 0, -4, -24, -6, 2, 14, 4],\n [-20, 2, 14, 11, -6, 9, 6, ... | 61 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-24, 14, -3, -8, -10, -2, 10, -4, 2],\n [14, -18, 3, -5, -10, 1, 13, -3, -15],\n [-3, 3, 18, 0, 18, 22, 8, 2, 16],\n [-8, -5, 0, 7, 13, -10, -2, 11, 14],\n [-10, -10, 18, 13, -1, -7, 16, 17, -14],\n [-2, ... | 51 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-19, 7, -9, -18, 16, -9, 22, 16, 21],\n [0, -8, 10, 13, 18, -3, -14, -3, 7],\n [0, 0, -3, -19, 21, -24, -25, -22, -18],\n [0, 0, 0, 11, 5, -20, 18, -2, 22],\n [0, 0, 0, 0, 20, 23, -12, 1, 11],\n [0, ... | 113 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, -5, 8, 10, 2, 4, -14, 10, 0],\n [-5, -23, -4, -8, -5, -12, -6, 22, -18],\n [8, -4, 11, 14, 2, 9, -1, 9, 0],\n [10, -8, 14, -20, 12, 3, 4, 11, 14],\n [2, -5, 2, 12, 6, -17, -16, 17, -3],\n [4, -12, 9, 3... | 51 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -11, -12, -8, -14, -16, 6, 0, 4],\n [-11, 2, 8, 17, 21, -8, 4, 11, -10],\n [-12, 8, -25, -10, 0, 15, -8, 4, -2],\n [-8, 17, -10, 3, 4, -24, -11, 0, 0],\n [-14, 21, 0, 4, 24, -2, 5, -14, 4],\n [-16, -8, 15, -24, -2, -13, -24, 2... | 54 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[19, -4, 18, 8, -17, 7, 12, 8, 9],\n [0, 0, -19, 19, 22, 19, 1, -14, -9],\n [0, 0, -4, 0, 13, -13, 16, 16, 19],\n [0, 0, 0, -9, 1, -6, -19, -22, 23],\n [0, 0, 0, 0, -8, -6, 14, 14, 22],\n [0, 0, 0, 0, 0, -17, -10, -5, -17],\n [0,... | 19 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, -10, -24, -25, -23, -2, 18, 12, -24],\n [0, 3, 11, 18, -22, -12, -9, 18, 19],\n [0, 0, 21, 3, 15, 0, 16, 12, -9],\n [0, 0, 0, 6, 8, -10, 22, 5, 1],\n [0, 0, 0, 0, -15, 9, -24, 20, -25],\n [0, 0, 0, 0, 0, -21, -13, -7, -7],\n ... | 24 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[22, 4, 15, -19, -22, -8, -2, -22, -9],\n [4, 1, -2, -20, -10, -11, -18, 16, 22],\n [15, -2, -2, -4, 0, -8, -18, 0, 20],\n [-19, -20, -4, -8, 2, -20, 8, 2, -12],\n [-22, -10, 0, 2, -24, -2, -1, 3, 8],\n [-8, -11, -8, -20, -2, 18,... | 62 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[20, 10, -19, -4, -20, -4, 3, -8, 22],\n [10, 12, 10, 4, 0, 8, 3, -10, 8],\n [-19, 10, -18, -2, 0, 6, 13, 18, -13],\n [-4, 4, -2, -24, 16, -8, -5, -16, -6],\n [-20, 0, 0, 16, -23, 16, 6, 10, 12],\n [-4, 8, 6, -8, 16, -4, ... | 65 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-18, 0, -4, -6, -3, -16, -2, 13, -14],\n [0, -22, 0, 1, -20, 16, -19, -6, 15],\n [-4, 0, 10, 3, 0, -7, 4, 0, 3],\n [-6, 1, 3, -22, 6, 3, -4, -11, 12],\n [-3, -20, 0, 6, -2, -14, -7, 6, 13],\n [-16, 16, -7, 3, -14, 2... | 253 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[21, 13, 1, -5, -8, 12, -5, 0, -1],\n [13, -12, 2, -16, 3, -10, -20, 15, -8],\n [1, 2, 1, -10, -2, 6, 2, -6, -6],\n [-5, -16, -10, -1, 9, -10, -8, -6, 4],\n [-8, 3, -2, 9, 25, -22, 16, -4, 8],\n [12, -10, 6, -10, -22, -17, -... | 253 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[2, -4, -14, 23, -13, 15, 7, 21, -7],\n [0, -9, 21, 8, -22, 13, -18, 7, -25],\n [0, 0, 14, -25, 9, -4, 3, -9, 4],\n [0, 0, 0, -17, 19, 6, -21, -12, 25],\n [0, 0, 0, 0, 1, -1, 10, -22, 6],\n [0, 0, 0, 0, 0, 20, -1, 21, -16],\n [0, ... | 20 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[16, 3, 8, 14, -8, -18, 10, -2, -2],\n [3, 20, 19, 10, 14, 4, -16, 16, -4],\n [8, 19, -2, -7, 6, 10, -14, -3, 2],\n [14, 10, -7, -4, 11, -13, -2, 6, -19],\n [-8, 14, 6, 11, -11, 6, 5, 24, -6],\n [-18,... | 269 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[16, -13, -1, -24, -12, -9, 15, 14, 14],\n [0, -1, 1, 22, 25, -2, 23, 7, 1],\n [0, 0, 22, 12, -11, 18, 14, -25, -15],\n [0, 0, 0, 6, -1, 13, 7, 3, 8],\n [0, 0, 0, 0, 24, -7, -5, -23, 0],\n [0, 0, 0, 0, 0, -17, -2, 13, -14],\n [0, ... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-16, -6, -2, 8, 11, -13, -3, -16, -4],\n [0, -12, -1, -8, -6, 2, -18, -21, -5],\n [0, 0, -10, -6, 25, -1, -19, -1, 10],\n [0, 0, 0, -10, -22, -16, 25, 22, 5],\n [0, 0, 0, 0, -15, -6, -3, -13, 9],\n [... | 107 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, 4, -12, 0, -16, -12, 6, 2, -8],\n [4, 24, -2, -5, 18, 18, 0, 16, -8],\n [-12, -2, -21, -1, 12, -7, -2, -19, -1],\n [0, -5, -1, 12, 2, -6, -10, 0, -19],\n [-16, 18, 12, 2, 12, -1, -5, -12, -11],\n [-12, 18, -7, -6... | 271 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-5, 9, 14, 2, 0, 6, 22, 24, 18],\n [0, -5, -22, 16, 15, 10, -2, 7, -21],\n [0, 0, 19, 6, -4, -15, 12, -4, -22],\n [0, 0, 0, 11, -7, -8, 2, 5, -9],\n [0, 0, 0, 0, -9, -5, 15, 17, -4],\n [0, 0, 0, 0, 0, -21, -8, -22, 18],\n [0... | 101 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[19, 4, -4, 6, 6, -20, 4, -4, 2],\n [4, -25, -10, 0, -7, 5, -6, 4, 17],\n [-4, -10, 5, -4, -4, -4, -3, 8, -1],\n [6, 0, -4, -10, 2, 0, 18, 18, 2],\n [6, -7, -4, 2, 8, -2, -13, -6, -10],\n [-20, 5, -4, 0, -2, -1, -17, 4, 4],\n... | 234 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 10, -12, 2, 2, -12, 6, 14, -3],\n [10, 19, -10, 10, -4, 18, 2, -3, -3],\n [-12, -10, -16, 11, 8, 4, -12, -8, -1],\n [2, 10, 11, -9, 1, 6, -14, -15, 7],\n [2, -4, 8, 1, -7, 4, 8, 7, 10],\n [-12, 18, 4, 6, 4, -23, 0, 2, 1... | 228 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, 6, -6, 4, -10, 8, 7, -4, 0],\n [6, -17, -2, -8, 18, -8, 6, -6, 16],\n [-6, -2, -17, 13, 11, 4, 0, 12, 6],\n [4, -8, 13, 2, -6, 5, 20, -12, 0],\n [-10, 18, 11, -6, -1, 12, 4, -2, -22],\n [8, -8, 4, 5, 12, -5, 0, 4, 7],\n ... | 218 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[23, 6, -10, -10, 0, -2, 11, 16, -6],\n [6, 24, -4, -3, -6, -6, -3, 8, 16],\n [-10, -4, -1, -2, -8, -6, -18, 10, -10],\n [-10, -3, -2, -20, 4, -6, 4, -8, 2],\n [0, -6, -8, 4, 17, -22, -15, 11, 4],\n [-2, -6, -6, -6, -22, 15, 9, 4,... | 52 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 3, -3, -8, -24, -6, 11, -8, -7],\n [3, 9, 9, -8, 17, 0, -2, -14, -7],\n [-3, 9, 14, 13, -8, -6, -8, -10, -15],\n [-8, -8, 13, -19, -12, 4, 6, -17, 6],\n [-24, 17, -8, -12, 16, -20, -10, 0, 1],\n [-6, 0, -6, 4, -20, -6, -6, 0... | 47 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[25, -18, 8, -3, 0, 13, -4, -6, 10],\n [-18, -10, -11, -12, -4, -2, -16, -10, -12],\n [8, -11, -13, -1, 3, -2, -1, -4, -12],\n [-3, -12, -1, -2, -15, -23, 0, 8, -8],\n [0, -4, 3, -15, 23, -12, 0, 10, 2],\n [13, -2, -2, -23, ... | 244 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, 2, -8, 4, 8, -6, 12, -7, 8],\n [2, -14, 9, -2, 8, 13, 0, 0, -8],\n [-8, 9, -2, 8, 18, -18, -24, -2, -6],\n [4, -2, 8, 9, -16, -6, -10, -3, 0],\n [8, 8, 18, -16, -17, 1, -4, -5, -8],\n [-6, 13, -18, -6, 1, 10, -1, 7, 22],\n [1... | 57 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -1, -10, -12, 12, 10, 14, 0, 16],\n [-1, 8, -2, -6, -6, 6, -18, -14, -11],\n [-10, -2, 0, -8, -2, -14, 0, 6, -2],\n [-12, -6, -8, 20, 5, -14, 22, 14, 10],\n [12, -6, -2, 5, 14, 4, -2, 4, 19],\n [10, 6, -14, -14, 4, 6, -2, -2,... | 58 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-21, 16, 13, -12, 10, -3, -7, 15, -4],\n [16, -21, 4, 6, -4, 12, -10, 0, 0],\n [13, 4, 11, -2, 2, 0, -9, -10, -2],\n [-12, 6, -2, 14, 16, 6, 4, -4, -2],\n [10, -4, 2, 16, -4, -3, -20, 0, 11],\n [-3, 12, 0, 6, -3, 2, -16, -12... | 235 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[18, 4, 14, -2, -4, 4, 20, -22, 24],\n [0, 12, 0, -7, -24, -22, -21, 21, 9],\n [0, 0, 19, -14, -5, -17, -15, -18, 0],\n [0, 0, 0, 8, 2, -1, 25, 18, 9],\n [0, 0, 0, 0, 13, 3, -12, -5, 10],\n [0, 0, 0, 0, 0,... | 25 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, -14, 3, -18, -13, 10, 19, 6, 6],\n [-14, 2, 7, -8, -6, -12, 12, 10, -12],\n [3, 7, 10, -10, -18, -8, -6, 18, -10],\n [-18, -8, -10, -10, 2, 7, -10, 13, 2],\n [-13, -6, -18, 2, -17, -6, -7, 18, 16],\n [10, -12, -8, 7, -6, 21,... | 57 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-18, -6, 4, 10, -8, 0, -16, -4, -4],\n [-6, 16, 0, -2, -8, 8, -18, 18, -8],\n [4, 0, 6, -10, -8, 4, 0, -11, -2],\n [10, -2, -10, -8, -4, 0, -4, -2, -8],\n [-8, -8, -8, -4, 20, -9, -8, 16, 5],\n [0, 8, 4, 0, -9, 8, -... | 225 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[14, -13, 0, 13, -4, 8, -6, 13, -17],\n [-13, -10, 2, -20, -20, -16, -10, 15, 13],\n [0, 2, 9, 6, -2, 3, -8, 3, -18],\n [13, -20, 6, 16, 10, -4, 0, 2, -7],\n [-4, -20, -2, 10, 15, -14, 6, -7, 0],\n [8, -16, 3, -4, -14, 7, -14, -2... | 59 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 6, 15, 6, 16, 4, -9, 14, 12],\n [0, 0, 17, -23, 12, -9, 13, -20, -5],\n [0, 0, 25, 14, -13, -17, -21, 17, -19],\n [0, 0, 0, 12, 5, -22, -13, 18, -11],\n [0, 0, 0, 0, 17, 0, -7, 23, -25],\n [0, 0, 0, 0, 0, -2, 17, 15, 23],\n [... | 25 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[17, 4, -5, 4, 19, 4, -16, -14, -1],\n [4, -15, 16, 22, 16, 0, 6, 4, -2],\n [-5, 16, 1, 10, -13, 4, 4, 0, -4],\n [4, 22, 10, -22, -3, -24, -7, -11, 2],\n [19, 16, -13, -3, -15, -12, 19, 3, 6],\n [4, 0, 4, -24, -12, -13, -2, 4, 4],... | 61 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[21, 8, -5, 8, -2, 4, 8, -12, 11],\n [8, -14, -2, 15, 17, 10, -18, 0, 16],\n [-5, -2, 12, -8, 1, 9, 8, -4, 3],\n [8, 15, -8, -22, 0, -8, -2, 2, -2],\n [-2, 17, 1, 0, -4, 20, -10, -13, -8],\n [4, 10, 9, -8, 20, 25, 12... | 244 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, 10, -11, -2, -6, 10, -20, -8, 4],\n [10, -24, 12, 1, -9, 2, 5, -16, 10],\n [-11, 12, -5, -12, -7, -8, -12, -4, -13],\n [-2, 1, -12, -7, -12, -15, 4, -10, -22],\n [-6, -9, -7, -12, 20, -15, -4, -12, 16],\n [10, 2,... | 249 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -14, -7, -6, -6, 3, 12, -11, -14],\n [-14, -6, -12, -4, -4, -4, -4, -15, 4],\n [-7, -12, 19, 7, -8, 6, 2, -6, 6],\n [-6, -4, 7, -9, 2, 6, -1, -4, 10],\n [-6, -4, -8, 2, -18, 0, -5, -4, 11],\n [3, -4, 6, 6, 0, 10... | 189 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, -15, 15, -9, 15, -1, 3, -3, -17],\n [0, 15, -3, -24, 19, -25, 12, -20, 22],\n [0, 0, -19, -24, 4, 3, -14, 8, 4],\n [0, 0, 0, 24, -23, 16, -14, -22, -19],\n [0, 0, 0, 0, 1, -11, -18, -8, 3],\n [0, 0, 0, 0, 0, -16, 14, -6,... | 110 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[23, -6, 2, 16, 6, -8, -10, 16, 6],\n [-6, -7, -4, -2, 16, -18, -1, -6, 12],\n [2, -4, 23, 10, 18, 4, 15, -4, 20],\n [16, -2, 10, -5, -2, 14, -1, 3, -14],\n [6, 16, 18, -2, 2, 10, 14, -13, -10],\n [-8, -18, 4, 14, 10... | 260 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -9, -5, -4, -4, -2, 10, 0, -12],\n [-9, 15, 4, 2, -17, -2, -12, -20, 1],\n [-5, 4, -21, 6, -2, -14, 0, 2, -4],\n [-4, 2, 6, -10, -2, -4, 8, 25, 9],\n [-4, -17, -2, -2, 11, -5, 11, 2, 0],\n [-2, -2, -14, -4, -5,... | 214 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 18, -10, -16, -13, 4, 11, 11, 6],\n [18, 14, -13, -6, 5, -2, -2, -4, 13],\n [-10, -13, 3, -3, -24, -6, 9, 3, -6],\n [-16, -6, -3, 3, 12, 4, 2, -6, 10],\n [-13, 5, -24, 12, -10, -4, 5, 9, 4],\n [4, -2, -6, 4, -4, 16, 23, 19, ... | 55 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[17, -17, 25, -15, -20, 21, 23, -14, 8],\n [0, 6, 10, -1, 9, 8, -7, 11, -9],\n [0, 0, 18, -22, 23, 4, 25, 8, -21],\n [0, 0, 0, -9, -14, -2, -14, -11, -10],\n [0, 0, 0, 0, 18, 5, 17, -11, -5],\n [0, 0, 0, 0... | 18 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-16, -6, -10, 12, 4, -1, 0, 18, 18],\n [-6, -21, -4, -8, -2, -6, 4, 6, 4],\n [-10, -4, -24, 2, 0, -13, 12, -14, 12],\n [12, -8, 2, -16, -4, 12, 7, -12, 2],\n [4, -2, 0, -4, -5, -2, -10, 6, 12],\n [-1, -6, -13, 12, -... | 253 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-7, -8, 2, -10, 6, -6, -1, -2, 5],\n [-8, 1, 8, 0, 2, 8, -8, -11, 14],\n [2, 8, -12, 6, 18, 5, 8, 10, 6],\n [-10, 0, 6, 22, -2, -6, 0, 13, 22],\n [6, 2, 18, -2, 21, -4, -1, 14, 10],\n [-6, 8, 5, -6, -4, 9, 10, 1, 14],\n ... | 59 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-25, 17, 16, 0, -4, 9, 0, -2, 4],\n [17, 0, -14, -5, 6, -5, 0, -2, -8],\n [16, -14, -15, 6, 9, 10, 8, -10, 5],\n [0, -5, 6, -3, -2, -4, -1, -8, -3],\n [-4, 6, 9, -2, 0, -1, 16, 3, 2],\n [9, -5, 10, -4, -1, -20, 4, -7, -6],\... | 198 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[22, 10, 18, -3, 11, 11, -7, -1, -6],\n [10, -18, -13, -18, -2, 2, 2, -4, 14],\n [18, -13, 14, 16, -4, -1, -2, 19, 12],\n [-3, -18, 16, -25, -5, -10, -6, -8, 8],\n [11, -2, -4, -5, 20, 9, -11, -18, -2],\n [11, 2, -1,... | 250 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 8, -14, 6, -4, -12, 1, 8, 2],\n [8, 8, -6, 0, 0, -9, 8, -14, 10],\n [-14, -6, -18, 18, 8, 10, 1, 14, 8],\n [6, 0, 18, 0, -10, 6, -20, 4, -4],\n [-4, 0, 8, -10, -17, -2, 20, 2, 4],\n [-12, -9, 10, 6, -2, -17, -20, 12, 8],... | 257 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-24, -6, 10, -8, 12, -6, -5, -5, -7],\n [-6, 17, -1, 0, -6, 4, -6, 2, 3],\n [10, -1, -12, -2, -3, 4, 0, 17, 2],\n [-8, 0, -2, 23, -3, 12, 2, -8, 6],\n [12, -6, -3, -3, 6, -4, -7, -6, 5],\n [-6, 4, 4, 12, -4, -4, -11, 21, 1]... | 221 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-23, 9, -5, -14, 3, 0, 1, -4, 2],\n [9, -1, 20, -7, -4, 10, 12, 12, -12],\n [-5, 20, 7, 4, -10, -8, -14, -6, -12],\n [-14, -7, 4, 4, 10, -12, -18, -14, 2],\n [3, -4, -10, 10, 6, 5, 16, -16, -13],\n [0, 10, -8, -12, 5, -11, ... | 235 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[13, 25, -14, -16, 11, -24, -23, -12, 21],\n [0, 19, 23, -22, 25, 0, 21, -11, -17],\n [0, 0, 13, 15, 4, 11, -9, -23, -17],\n [0, 0, 0, -2, -18, -12, -10, -8, 23],\n [0, 0, 0, 0, 2, -19, 8, 1, 8],\n [0, 0, ... | 24 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 12, -20, -8, -10, -4, -16, -10, 4],\n [12, 9, -16, 8, -6, 12, -3, 7, 4],\n [-20, -16, 25, -2, 8, -6, -19, 9, 14],\n [-8, 8, -2, 17, 5, 10, -11, -7, -19],\n [-10, -6, 8, 5, -2, -10, -6, 6, -11],\n [-4,... | 59 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 10, -15, 3, -2, -24, -11, 4, -8],\n [10, -12, -12, 3, -14, -14, -4, 6, 10],\n [-15, -12, 19, 20, 12, -22, 2, 2, 12],\n [3, 3, 20, 7, -6, 2, 3, 12, -6],\n [-2, -14, 12, -6, -20, 0, -8, 6, 8],\n [-24, -14, -22, 2, 0, 21, 0, 0,... | 56 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[18, 6, 1, -12, -2, -20, 16, -8, -11],\n [6, 20, -4, 2, -6, -21, -18, -2, 16],\n [1, -4, -16, -12, -2, 0, 2, -16, -2],\n [-12, 2, -12, -7, 4, 4, 15, 15, -4],\n [-2, -6, -2, 4, 25, -6, -20, 20, -8],\n [-20,... | 58 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-11, -2, -18, 4, -10, -6, -4, -14, -5],\n [-2, -13, -2, 2, -18, 10, 6, -4, -17],\n [-18, -2, 0, 4, -8, 9, 14, 3, 12],\n [4, 2, 4, 14, -2, 18, -7, 10, 8],\n [-10, -18, -8, -2, -12, -19, 12, -2, -7],\n [-6, 10, 9, 18,... | 233 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[18, 24, 2, -20, -4, 6, 18, 10, -10],\n [24, 14, -13, -9, -7, -4, 2, -4, -13],\n [2, -13, 9, -8, 18, 1, -8, 2, 10],\n [-20, -9, -8, -9, 18, 8, 19, 10, 4],\n [-4, -7, 18, 18, 11, 2, -8, -6, -16],\n [6, -4, 1, 8, 2, -20, 6, 4, ... | 264 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 3, -14, 4, 5, 10, -8, 12, 0],\n [3, -9, -3, 14, 3, 4, 13, 4, 4],\n [-14, -3, 8, 17, -4, -3, -9, 2, 14],\n [4, 14, 17, -14, -20, -24, -20, -14, -13],\n [5, 3, -4, -20, 22, 18, -2, 9, 2],\n [10, 4, -3, -24, 18, 25, -6, 0, -8],\... | 66 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[14, 10, 4, -5, 0, 9, -4, -20, 14],\n [10, 17, 8, -13, 18, 15, 4, -4, 0],\n [4, 8, 4, 5, -22, -8, 8, 8, -7],\n [-5, -13, 5, -10, 9, 10, -22, 6, 10],\n [0, 18, -22, 9, -7, -6, 10, 5, -8],\n [9, 15, -8, 10, -6, -1, 2, 6, 1]... | 68 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[13, 17, -24, 22, -3, 15, -16, 16, 4],\n [0, -1, -9, 20, -7, -8, -8, 20, 9],\n [0, 0, 19, -4, 18, -17, 6, 0, 3],\n [0, 0, 0, 3, 9, -14, -18, -1, 1],\n [0, 0, 0, 0, -13, -15, 12, -20, -21],\n [0, 0, 0,... | 98 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[15, 23, -21, 18, -8, -1, 22, 15, 14],\n [0, 23, 20, -5, -2, 2, 20, -22, -18],\n [0, 0, -23, 23, -6, 9, 13, 17, 21],\n [0, 0, 0, 23, 11, -25, -4, -19, 23],\n [0, 0, 0, 0, 0, 8, 23, 6, -4],\n [0, 0, 0, 0, 0, -12, 14, 13, 11],... | 133 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-11, 4, -8, 16, 2, 16, -4, -8, -10],\n [4, 12, -6, -8, -10, -18, -11, -12, 2],\n [-8, -6, -3, 0, 20, 15, -14, 0, 15],\n [16, -8, 0, 24, 0, 4, -2, -5, -11],\n [2, -10, 20, 0, 13, -8, -19, -12, -6],\n [16, -18, 15, 4, -8, 22, -9, ... | 55 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, -11, -4, -2, -8, 0, -12, -1, 6],\n [-11, -20, 8, 5, 12, -12, 4, -10, -1],\n [-4, 8, 10, 7, 14, 15, -8, -6, 6],\n [-2, 5, 7, -5, -3, 7, 0, 14, -2],\n [-8, 12, 14, -3, 12, 5, 8, 2, 12],\n [0, -12, 15, 7, 5, -11, 4, -4... | 43 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, 14, 2, 4, -6, -2, 12, -24, -6],\n [14, -8, -2, 12, -2, -6, -13, -10, 2],\n [2, -2, 8, -2, -18, 2, -18, -14, -2],\n [4, 12, -2, -3, -13, 6, -9, 0, 0],\n [-6, -2, -18, -13, 25, 16, -16, -2, -2],\n [-2, -6, 2, 6, 16, -24, 14... | 254 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, -6, 3, 12, 14, 10, 11, 16, 14],\n [-6, -23, -16, 8, 2, 5, 0, 2, 0],\n [3, -16, 1, -16, 10, 15, 0, 3, 8],\n [12, 8, -16, 10, -12, -4, -8, -16, -20],\n [14, 2, 10, -12, 9, -22, 0, 8, -18],\n [10, 5, 15, -4, -22, 12, 11, -4... | 248 | MATH |
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