messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (10, 8) of the matrix A^7 where A is:\n[[-7, 7, -14, 11, -2, 8, 9, 6, -2, -4],\n [-11, -8, 13, -3, 12, -2, 7, -3, 1, -9],\n [-1, 4, 1, 12, 11, -11, -10, -6, 9, -12],\n [7, -5, 2, 4, -5, -3, 8, -8, 3, 4],\n [0, -8, -3, 7, 14, -8, -5, 10, 9, 7],\n [13, 5, 14, -5, 10, 8,... | 145933939 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -5, -9, -6, -8, 10, -13, -4, -1, -10],\n [-6, -8, 10, -1, 12, 1, 7, 1, -8, -5],\n [6, -9, 2, -14, -13, 12, -1, -11, 12, -6],\n [8, -9, 2, 6, -4, 13, 14, -11, 6, 12],\n [-6, 13, 1, -12, -11,... | 17671191486 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[7, -6, 10, 9, 2, -9, -11, -11, 4, -3],\n [10, -13, 2, 0, -5, -12, 14, 5, -11, 7],\n [-14, -14, 3, -11, 8, 7, 0, 12, 10, 8],\n [13, 6, 7, -5, 10, 2, 12, 10, 7, -3],\n [5, -3, 1, -10, 14, 1, 2, 8, 14, 0],\n [-2, -7, 12... | 7104843894 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-8, -14, -11, -4, 5, -8, 3, -11, 2, 14],\n [14, -4, -4, 5, -4, 0, -1, 2, -13, 3],\n [1, -3, -5, 13, 1, -12, -7, 12, 7, 7],\n [10, 9, -13, 7, -14, 14, -1, 10, -11, -11],\n [-6, -12, -10, -14, 7, 4, -14, -5, 7, -3],\n... | 446669523118 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-10, 5, -2, 14, -2, -5, 0, 0, 3, 3],\n [-13, 8, -4, -2, -4, -11, 0, 7, 8, 10],\n [-4, 3, 1, -5, -3, -2, -6, 12, 6, -2],\n [-9, -9, -4, 4, 12, -4, -5, 8, 0, -2],\n [8, -7, -10, -13, 1, -2, 4, -6, 0, -9],\n [-7, 9, -1, -10, 2, 7, -8, -6, 1, 3],\n [13, -2, 3, -5,... | 3498009106 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-6, 7, -12, 2, 13, -3, -11, 5, 1, 14],\n [9, -5, 11, 14, -8, -5, -8, 8, 13, 3],\n [-6, 7, 3, 2, -4, -14, 2, -11, -11, -1],\n [13, -6, -2, 13, 13, 1, -14, -12, 4, -7],\n [3, -9, 12, 5, 14, 11, -9, 14, -10, -3],\n [-6,... | 20537449173 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -6, 12, -2, 4, -4, 10, -3, 4, 0],\n [-6, 2, -6, -10, -1, 2, 10, 7, 6, 2],\n [12, -6, 10, -4, 2, 4, 8, 0, 6, 8],\n [-2, -10, -4, 10, 2, -5, -6, 0, 0, 4],\n [4, -1, 2, 2, 8, -4, 4, 3, 2, 2],... | 11374888946 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 4, 11, -2, 4, 13, -2, 4, 0, -1],\n [4, 3, 1, 2, 8, 4, 4, -8, 0, 2],\n [11, 1, 14, -6, -2, -2, 0, 0, 10, -5],\n [-2, 2, -6, -10, -6, 4, 7, -3, -1, 5],\n [4, 8, -2, -6, 1, 4, 2, -5, -4, 0],\n... | 6688499900 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, -2, -4, 0, 6, 2, 2, -14, 3, -10],\n [-2, -9, -3, 6, 3, -4, 0, -6, -6, -13],\n [-4, -3, 8, -4, -2, 13, 0, 9, 8, 2],\n [0, 6, -4, -12, 0, -1, 0, 0, 6, 2],\n [6, 3, -2, 0, -1, -4, -3, -4, 3, -4],\n [2, -4, 13, -1, -4, 10, -6, 2, 4, 9],\n [2, 0, 0, 0, -3, -6, 0... | 32476250899922 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, -8, 6, 2, 2, 0, -9, 7, -10, -5],\n [-8, -8, -5, -10, -4, 4, 1, -6, -9, 10],\n [6, -5, 12, 0, 9, 4, -6, -14, 2, -7],\n [2, -10, 0, 3, 3, 4, -10, -12, 2, -4],\n [2, -4, 9, 3, -3, 11, 10, 2, -4, -4],\n [0, 4, 4, 4, 11, -7, 2, -2, 10, 12],\n [-9, 1, -6, -10, 1... | -26527264208 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, 1, -5, 12, 10, -3, -4, 10, 14, -1],\n [7, 5, -2, -13, 12, 5, -8, -14, 10, -12],\n [14, 14, 5, -3, -10, -3, 14, -12, 5, -10],\n [13, -14, 1, -6, -5, 14, -5, -2, 1, 5],\n [14, 10, -11, -1, 2, 13, -10, -2, 10, -12],\n [-10, 1, 4, 13, 4, 2, 3, 3, 10, 8],\n [-7... | -3961572504 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -2, 5, 0, 1, 1, -11, 2, -2, 8],\n [-2, -9, -12, 6, 2, -3, -6, -2, -1, 0],\n [5, -12, 9, -7, 2, 4, -4, -9, -10, -4],\n [0, 6, -7, 11, 14, -2, 1, 4, 0, -6],\n [1, 2, 2, 14, -9, -4, 3, 6, 2, ... | 9903896161 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 9) of the result:\nA =\n[[-2, -13, 4, 4, 14, 4, 3, 10, -9, -13],\n [4, 11, -9, 5, 8, 7, 0, -9, 13, -12],\n [-4, -7, 10, 7, 3, 2, 4, 4, 9, 6],\n [2, 12, -11, -8, -10, 11, 14, 1, -9, -1],\n [11, 5, -13, 10, 3, 3, -2, 13, 3, 2],\n [-2,... | -2406933618 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^7 where A is:\n[[2, -6, -10, 6, -6, 8, 0, 4, 0, 8],\n [-6, -4, -4, 7, -6, -2, 2, -2, -2, -2],\n [-10, -4, -13, 6, -8, -7, 9, -8, 10, -4],\n [6, 7, 6, -9, 5, -2, 10, -13, -4, 6],\n [-6, -6, -8, 5, -4, 6, -2, -4, -8, -6],\n [8, -2, -7, -2, 6, 14, ... | 7974483751 | MATH |
[
{
"content": "Find the value at position (2, 9) of the 6th power of the matrix:\n[[-7, -7, -13, -1, -5, 3, 3, 3, 1, 5],\n [-10, 5, -10, 5, 8, -5, 2, -2, 2, 3],\n [-2, 2, 13, 0, 11, -3, 13, -5, -2, -4],\n [-12, 7, -5, -4, -9, -14, -9, -10, -8, 7],\n [-3, -3, -8, -13, 13, -14, 8, 10, 3, -3],\n [-8, 4, 7, -12, 14,... | -9413227 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, -8, -8, -14, 0, 4, -5, 0, -2],\n [-3, 11, -4, 4, -4, -6, 2, -8, -2, 8],\n [-8, -4, -4, 7, -8, -5, -2, -1, -8, 4],\n [-8, 4, 7, -12, 0, 8, 0, 10, -2, -2],\n [-14, -4, -8, 0, 13, -1, 0, 7, 12, -4],\n ... | 5912559517 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[5, -9, -3, 10, 8, 3, 12, -13, 4, 9],\n [-5, 10, 14, -12, 10, 13, -3, 11, 1, -3],\n [-7, -10, -4, -5, -12, 12, 8, -6, -3, -9],\n [4, 1, 6, 8, 9, 14, -1, 13, -11, 3],\n [-5, 3, -3, 4, -7, -14, -1, 8, -9, -1],\n [-13, -6, 14, -3, -10, -13... | 24228169550 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-7, -5, -14, 6, 10, 6, 14, -1, -1, -5],\n [13, 4, 10, 14, 1, -6, 5, 1, 5, 12],\n [-7, -8, -4, 6, -9, 0, 4, -1, 0, -9],\n [14, 9, -5, -1, 1, -2, -4, 10, -12, -7],\n [13, -12, -13, 6, -1, 5, 14, 6, 7, 0],\n [-12, -14, 0, 5, 7, -13, 3, -1... | 266357694201 | MATH |
[
{
"content": "What is the value at position (10, 8) of the matrix A^7 where A is:\n[[1, 0, -5, 6, -1, 1, 14, -4, -10, -8],\n [0, 6, 1, -1, -8, 2, -2, 1, -6, 10],\n [-5, 1, -3, 0, 12, 2, 3, -6, -5, 4],\n [6, -1, 0, 2, 4, -14, 10, -4, -1, 7],\n [-1, -8, 12, 4, 2, 3, -1, 6, 6, 8],\n [1, 2, 2, -14, 3, 10, -1, -8, -... | 2073751361 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -5, -4, 6, 6, 0, -6, 8, -4],\n [-2, 8, 0, 6, -6, 6, 0, -10, 2, -13],\n [-5, 0, 4, -13, -8, -1, -6, 5, 2, 4],\n [-4, 6, -13, 0, -4, 4, -12, 6, -4, 6],\n [6, -6, -8, -4, 7, 4, 2, -6, 1, 2... | 14882736072 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 5) of the result:\nA =\n[[2, -4, 0, -1, -11, 0, 12, -1, 4, 0],\n [-4, -2, 2, 2, 3, -6, 13, -12, -6, 3],\n [0, 2, -3, -4, 2, 2, 6, -12, -6, 10],\n [-1, 2, -4, -10, 2, 7, -4, 7, -4, 1],\n [-11, 3, 2, 2, -1, -5, 8, 0, -8, 7],\n [0, -6,... | -15469178105 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[10, 0, -3, -3, 10, -4, 6, 2, -5, 12],\n [0, 12, -7, -6, -5, 2, 13, -6, 0, 0],\n [-3, -7, -10, 8, -4, -2, -4, -2, -2, 0],\n [-3, -6, 8, -7, 9, -2, 0, 0, 10, -1],\n [10, -5, -4, 9, 7, 11, -8, 0, 4, -3],\n [-4, 2, -2, -2, 11, 10, -6, -8,... | 4994273967603 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, -2, -2, 2, -1, -2, -4, -10, 9, 3],\n [-2, -12, 2, 0, -6, -5, 13, 4, 6, 4],\n [-2, 2, 7, -8, 9, -2, -4, 0, 10, 6],\n [2, 0, -8, 2, -2, 10, -2, 0, -6, 11],\n [-1, -6, 9, -2, -3, 2, 0, 8, -8, -10],\n [-2, -5, -2... | -6084674608 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 10, -8, -5, 12, -6, 5, -4, 7, 1],\n [10, -3, -8, -9, -2, -2, -2, -2, 1, -4],\n [-8, -8, -9, 2, -12, 1, -2, 0, 3, 6],\n [-5, -9, 2, 6, 2, -8, -7, 2, -10, -4],\n [12, -2, -12, 2, -1, -14, -2, -5, -2, 10],\n [-6... | -26969967272 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, -3, 2, 1, 8, 5, -3, 2, 7, 4],\n [-3, -3, 6, 8, 6, 4, 0, -3, -10, -5],\n [2, 6, -7, -2, -2, 0, 4, 10, 4, 2],\n [1, 8, -2, 5, 5, 6, -1, -5, 2, 0],\n [8, 6, -2, 5, -1, 11, -6, -1, -4, 2],\n [5, 4, 0, 6, 11, -2, -4, 0, -3, 9],\n [-3, 0, 4, -1, -6, -4, -10, -6,... | -293158209 | MATH |
[
{
"content": "Find the value at position (8, 9) of the 7th power of the matrix:\n[[8, -6, 13, 9, 12, 13, 9, 0, -8, 3],\n [-14, 0, -13, 7, 14, -13, -5, 5, 0, -5],\n [4, 7, 13, 13, -2, 9, -4, 7, -13, 6],\n [12, -2, 7, 10, 7, 11, 6, -14, 11, -10],\n [6, 7, -8, -2, -2, 5, 8, 6, -9, 5],\n [-3, -7, -6, 3, 13, -4, 5, ... | -630864403 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, -9, -11, -8, 4, -8, -1, 2, 8, 2],\n [-2, 12, -14, -13, 3, -11, -2, -14, -11, -13],\n [-11, 1, -11, 10, -6, 2, 6, 8, 5, 13],\n [6, -13, -12, 8, 11, 14, 0, -8, -11, -3],\n [-14, 2, -11, -11, 7, 8, 10, -6, 11, 13],\n [13, 6, -5, 12, ... | 25413517966 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 8th power of the matrix:\n[[-10, 8, 8, 10, 14, -7, -2, 0, -13, -3],\n [9, -7, 6, 14, 4, 10, 13, 8, -14, -7],\n [-5, -2, -10, 7, -6, -5, -1, 9, -4, -1],\n [-12, 14, 6, 1, 5, 2, -10, 11, -8, 2],\n [5, 7, -4, -3, 10, 12, 9, -13, 12, 4],\n [11, 14, -10, -4, 8, ... | -30696508680 | MATH |
[
{
"content": "Find the value at position (9, 10) of the 7th power of the matrix:\n[[14, -2, -2, 8, 3, -1, -8, 6, -6, 14],\n [-2, -12, 12, -3, 1, -2, 4, -10, -2, 0],\n [-2, 12, -12, 8, -4, 10, 1, 4, -6, -4],\n [8, -3, 8, -11, -10, -8, 1, 6, -5, 4],\n [3, 1, -4, -10, 4, -2, -10, -1, -4, 0],\n [-1, -2, 10, -8, -2,... | -14694186083 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 4, -10, -2, 8, -4, -10, 1, 6, 6],\n [4, 14, 2, -8, 9, 0, -3, -10, 7, 7],\n [-10, 2, -9, 8, -2, -10, -10, 4, 8, 4],\n [-2, -8, 8, 8, -10, 7, 0, 2, 4, -10],\n [8, 9, -2, -10, 3, -6, -4, -10, -5, 0],\n [-4, 0, -10, 7, -6, -8, -6, 6, 2, -4],\n [-10, -3, -10, 0,... | 2541245078644 | MATH |
[
{
"content": "What is the value at position (10, 1) of the matrix A^7 where A is:\n[[14, 2, 0, -7, 1, -6, 2, -2, -9, -3],\n [2, -2, -6, 0, -6, -8, -7, 4, 2, 8],\n [0, -6, -11, -8, -2, 10, 4, 1, -6, -7],\n [-7, 0, -8, -1, 6, 2, -8, -4, -8, 8],\n [1, -6, -2, 6, 0, 2, 8, 10, 0, 8],\n [-6, -8, 10, 2, 2, -10, 12, 0,... | -4443267184 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -2, 10, -9, 7, -8, 13, 6, -9, -4],\n [2, 4, 13, 10, -3, 6, 6, 9, 12, 12],\n [-2, 3, 14, -8, 10, 8, 13, -10, 14, 1],\n [7, -11, 13, 8, -14, -11, -12, 14, -11, -14],\n [-3, -2, -13, 13, 12, 14, -6, -8, -2, 7],\n [-13, -14, 3, -8, 3, 4, -7, 8, -3, -4],\n [12, ... | -41346898376 | MATH |
[
{
"content": "What is the value at position (10, 3) of the matrix A^7 where A is:\n[[-9, -11, -1, -2, -2, 2, -4, 4, 0, 4],\n [-11, 4, 1, 0, -10, -2, -4, -9, 1, -12],\n [-1, 1, -1, 5, -4, -8, -2, -10, -1, -7],\n [-2, 0, 5, 7, 2, -1, -6, -4, -4, 0],\n [-2, -10, -4, 2, -5, -10, -2, 8, -2, 6],\n [2, -2, -8, -1, -10... | -8659619990 | MATH |
[
{
"content": "What is the value at position (3, 6) of the matrix A^8 where A is:\n[[9, 12, 0, -9, -3, -13, -11, 5, 10, 10],\n [6, -3, -12, 2, -9, 9, 2, 12, 2, -4],\n [8, -8, -13, 4, -13, 7, 14, -2, 9, 9],\n [1, 2, -4, -6, 12, 9, -6, 14, -1, -2],\n [10, -4, -3, 7, -12, -14, 12, -7, 11, 4],\n [-2, -8, -2, 11, -9,... | 559464669573 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-8, 4, -4, 6, -10, 4, -1, -7, 8, 10],\n [4, 7, -2, -8, 2, -7, -2, 11, 10, -5],\n [-4, -2, 6, 9, 2, 3, 7, 8, 6, 0],\n [6, -8, 9, 5, -4, 0, 0, 2, 1, 10],\n [-10, 2, 2, -4, 12, 2, -2, 6, -4, 2],\n [4, -7, 3, 0, 2, 5, -14, -6, 12, 8],\n [-1, -2, 7, 0, -2, -14, -10... | 113902936 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[1, 10, 10, -12, 10, 8, 3, 4, -2, -10],\n [10, -13, -2, 4, -5, -1, 3, -6, -12, 4],\n [10, -2, 6, 3, 0, -4, -11, -11, 0, -12],\n [-12, 4, 3, -9, 0, 10, -9, 0, -8, 9],\n [10, -5, 0, 0, 11, 7, 0, -2, 0, 8],\n [8, -1, -4, 10, 7, 12, 4, 6, -4, -10],\n [3, 3, -11, -9... | -65678830 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, 2, -1, 0, 2, -2, -11, 2, 4, -6],\n [2, -10, -4, -1, 0, 10, 0, 0, -10, 5],\n [-1, -4, 14, -6, 8, -8, -3, 2, 7, 0],\n [0, -1, -6, -1, 5, 12, -8, -12, 2, 4],\n [2, 0, 8, 5, -11, 6, 8, -2, 2, 8],\n [-2, 10, -8, 12, ... | 17486785717 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-13, 13, 2, 6, -8, -9, -9, 7, -7, -10],\n [0, 11, -8, -12, 10, -5, -12, -1, 7, -12],\n [-14, -14, 4, -11, -13, 10, -4, 9, -3, -2],\n [1, 1, 4, 8, 5, 6, 5, -6, 1, 12],\n [-8, -2, -11, -2, -7, -13, -8, -4, 2, 9],\n [14, -1, 13, -2, 0, 7, 13, 6, 10, -6],\n [-12, ... | 8338209382 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -12, -3, 14, 8, 6, 11, 8, -13, -1],\n [-1, -11, 2, 0, 1, -10, 9, 2, 8, -8],\n [8, 0, 2, -3, -4, 4, -4, -13, 0, -10],\n [3, 14, 6, 6, 1, -11, 12, 8, -5, 7],\n [-13, 0, -11, 14, 1, 12, -8, 10, 10, -3],\n [-12, 2, -6, -7, 8, -9, 0, -5,... | 874730340 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[6, 4, 13, -11, -2, -2, 0, 4, 1, -8],\n [-12, 11, 5, -13, 3, 10, -4, -14, 1, 2],\n [1, -5, 2, -12, 3, 4, -1, 6, 10, -13],\n [-3, -4, 2, 12, -9, 4, -2, -8, 7, -4],\n [-8, -2, -2, 6, -14, 4, 4, 8, 0, -1],\n [14, -12... | -9967024722 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[9, -2, -6, -4, 7, -4, -2, -2, -4, -2],\n [-2, -8, 8, 2, 0, -2, 0, 0, 6, 2],\n [-6, 8, -9, 8, 1, 8, -8, -6, 10, -9],\n [-4, 2, 8, 3, -2, 4, -1, 2, 5, 10],\n [7, 0, 1, -2, -6, -2, -8, -7, 3, 8],\n [-4, -2, 8, 4, -2, 4, -13, -4, -4, -9],\n [-2, 0, -8, -1, -8, -13... | 258499082067 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-14, -8, 7, 1, -10, 1, -11, -4, -1, 14],\n [-2, 12, 9, 12, -7, 6, 5, 0, 3, -8],\n [6, 4, 10, -6, -4, 12, -5, -1, 1, 12],\n [-7, -14, -3, -12, -13, 1, -11, -13, -3, 12],\n [9, 2, 5, 6, -5, 5, -7, 3, 10, 3],\n [3, 14, -13, -3, -5, -7, 4,... | 50085887 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[14, -6, -10, 2, 8, -3, -6, -6, 3, -8],\n [-6, 13, 0, -1, -7, 0, -2, 4, -5, 2],\n [-10, 0, -2, -2, -1, -6, -6, -4, -8, -2],\n [2, -1, -2, 8, 6, 6, 4, 6, 6, 4],\n [8, -7, -1, 6, 6, -3, 2, -2, -2, -8],\n [-3, 0, -6, 6,... | 15591218096 | MATH |
[
{
"content": "Find the value at position (5, 8) of the 7th power of the matrix:\n[[3, -4, -8, 8, 8, -1, 14, 3, -8, -5],\n [-7, 9, -1, 3, -10, -1, 7, 10, 7, 11],\n [7, -5, 11, 0, -9, -6, -5, 8, 2, -14],\n [-1, -11, 13, -13, -12, 13, -8, 8, -1, -3],\n [4, 14, 3, 0, 14, 14, -14, 10, 11, -12],\n [10, 0, -11, 0, -5,... | -4651835170 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-2, 1, 1, -3, 3, -4, 2, -8, 0, -9],\n [-9, 3, 4, 5, 4, -13, -12, -1, 7, 10],\n [-11, 7, 2, 13, -9, 13, 4, -6, -11, -8],\n [-11, -4, 7, 8, -13, -5, -9, -7, 0, -2],\n [14, 13, 7, -13, 5, -14, 0, -8, 9, 11],\n [3, -5, 0... | 307002956617 | MATH |
[
{
"content": "What is the value at position (8, 8) of the matrix A^8 where A is:\n[[-2, 0, -8, -2, 6, 0, 2, 6, -9, 6],\n [0, 0, -10, -8, -4, 6, -4, 2, 1, 10],\n [-8, -10, 5, -2, -6, -6, 6, 8, -2, -12],\n [-2, -8, -2, 12, -6, -9, 12, -2, -8, -6],\n [6, -4, -6, -6, 12, -6, 7, 8, -2, -8],\n [0, 6, -6, -9, -6, 9, 4... | 328137043300 | MATH |
[
{
"content": "Find the value at position (7, 3) of the 8th power of the matrix:\n[[-5, 8, 2, 3, 5, -2, -1, 2, -4, -6],\n [8, -1, 4, -7, 4, -6, -12, 4, 6, -7],\n [2, 4, 3, -3, -2, 1, 8, -8, 3, 1],\n [3, -7, -3, -8, 2, 2, -4, 6, -4, 5],\n [5, 4, -2, 2, 13, -10, -6, 3, -5, 8],\n [-2, -6, 1, 2, -10, 1, -6, 2, 0, 11... | -18408319610 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, -3, -11, -7, -3, 4, 0, 13, 1, -3],\n [5, 3, 7, -3, 1, 10, 13, 5, -4, 7],\n [5, -1, -13, -2, -1, -9, -3, -8, -11, 13],\n [12, -8, -2, -4, -7, 12, 4, -13, 6, 3],\n [11, 6, -5, 14, -9, 9, 7, -11, 4, -1],\n [-1, 3, 14, 2, 3, 3, -10, -6, -14, -11],\n [11, -8, -4... | 10227135024 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-4, -4, -3, -2, -2, 4, 4, 1, 2, -8],\n [-4, 13, 4, 0, 4, 2, -2, -6, 0, -10],\n [-3, 4, -4, 3, -8, 4, -10, -8, 6, 5],\n [-2, 0, 3, 9, -7, 0, 4, -6, -6, -11],\n [-2, 4, -8, -7, -3, 0, 10, 2, -4, -1],\n [4, 2, 4, 0,... | 243287374742 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[13, 2, 0, 6, -11, -12, -6, 4, 3, 9],\n [2, -7, 8, -7, 0, 0, -11, 2, 2, -8],\n [0, 8, 7, -4, -4, -3, -2, -5, 9, 3],\n [6, -7, -4, 1, -2, 6, -5, -6, -8, 2],\n [-11, 0, -4, -2, -3, 7, -8, 6, 2, 6],\n [-12, 0, -3, 6, 7, 8, -6, 6, 4, 0],\n... | 287962613 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-12, 0, 0, 10, 2, -2, 4, 2, -10, 3],\n [0, 2, 8, -10, 12, 2, 6, -8, -4, -9],\n [0, 8, 13, -2, -4, 6, 9, 10, -4, 0],\n [10, -10, -2, 6, 2, 6, -10, 0, 2, -9],\n [2, 12, -4, 2, -7, 10, -1, 4, -6, 6],\n [-2, 2, 6, 6, 10, 0, 10, -8, 4, -7],\n [4, 6, 9, -10, -1, 10,... | 2851698383821 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, -1, 11, 12, 9, -10, -5, -9, 13, -5],\n [-4, 11, 9, -9, -5, -1, 5, -12, -8, 14],\n [-13, -8, 2, -2, 11, 6, -6, -2, 0, -2],\n [2, -7, -6, -6, -7, 1, 5, -8, 2, -8],\n [-9, -10, 2, -7, 11, -14, 1, 2, -12, -2],\n [-7... | 10344101087 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, 13, -12, 13, 12, -11, 2, 4, -4, -7],\n [-3, 3, 3, -6, -10, 6, 2, -2, -9, 9],\n [7, -1, 0, 8, -1, -11, 3, -14, -3, 7],\n [-6, -5, 6, 13, 3, 2, 4, -11, 1, -8],\n [-6, -7, 10, -8, -5, -7, 9, 2, -3, -1],\n [-3, 10, -13, -3, 12, -1, -8, 14, 11, 11],\n [-2, 6, -... | 641594901 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3, 2, 2, -2, -4, 2, 0, -8],\n [-2, -12, 10, 4, -1, -12, -3, 6, -3, 13],\n [3, 10, -8, -2, -8, -1, 8, 9, 9, -2],\n [2, 4, -2, -7, 6, -1, -4, 2, 5, -8],\n [2, -1, -8, 6, -7, -1, 4, 10, 5,... | 23608186721 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[2, 8, 12, -8, -6, 6, -13, 0, -4, 0],\n [8, -12, -6, 0, 0, -6, 2, 14, 5, -2],\n [12, -6, 3, 0, 12, 8, -14, -9, 6, 6],\n [-8, 0, 0, 11, 6, 4, 2, 14, 1, 0],\n [-6, 0, 12, 6, -3, -4, 0, 11, 7, -1],\n [6, -6, 8, 4, -4, -5, -2, -12, -7, 2],... | 3458772415 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 8th power of the matrix:\n[[-12, 12, -6, -8, 4, -10, 4, -5, 5, -3],\n [-7, -12, 4, 12, -4, -7, 11, -2, 11, 8],\n [8, -5, 3, -3, -8, 11, -4, -5, -12, -8],\n [14, -11, 14, -7, -7, -9, -2, -3, -12, -9],\n [7, 4, -4, -11, 0, -13, 0, 2, -13, -8],\n [11, 1, -10, ... | -88925520923 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, -1, 6, -3, -13, -7, 4, -1, -10, 9],\n [12, -6, -2, -6, -1, -10, -13, -8, 1, -4],\n [-4, 8, -3, -2, -7, 9, 1, 6, -14, -2],\n [-4, 14, -11, -11, 0, 12, -12, 9, 4, 14],\n [6, -13, -9, 7, 9, -7, 2, -10, -13, 11],\n [-... | 341182931013 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 2) of the result:\nA =\n[[4, -1, 2, 1, -2, -4, -2, -8, 0, -4],\n [-1, -1, 4, -2, -4, -2, 9, -4, 1, 4],\n [2, 4, 8, 12, -5, -3, -9, 8, -7, 0],\n [1, -2, 12, 14, 2, 1, -4, 3, 2, 5],\n [-2, -4, -5, 2, 7, 0, -4, 2, -10, 6],\n [-4, -2, -... | -30175054 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[3, -6, 8, -4, 6, 2, 0, 10, -8, -6],\n [-6, 3, 12, 4, 7, 2, 8, 0, 6, -10],\n [8, 12, -4, 6, -3, -6, -2, 6, 0, -5],\n [-4, 4, 6, 8, -4, 8, -6, 4, 10, -6],\n [6, 7, -3, -4, -12, 2, -6, 10, 0, -9],\n [2, 2, -6, 8, 2, -8, -7, 0, 0, -2],\n [0, 8, -2, -6, -6, -7, 8, ... | 10681000966 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[2, -3, 5, -3, -12, 6, 6, 11, -13, 6],\n [10, 6, 0, -4, -5, 3, 8, 7, 8, 9],\n [11, 6, -13, -8, -8, 9, -8, 11, 8, -1],\n [14, 10, 9, -13, -13, 8, 11, 0, -4, 14],\n [-5, -12, 2, -6, 0, -1, 4, 2, 7, 5],\n [2, 1, 5, -7, 12, -8, -3, -14, 11... | -3666518684 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[11, 9, 4, 8, -12, 7, 3, -9, -9, 9],\n [-10, -14, -7, 13, 10, -14, 6, 13, -9, 5],\n [-1, -4, -13, 6, -11, -2, -8, -9, -12, -6],\n [-1, 5, -4, -10, -1, 4, -7, 12, -8, 12],\n [12, -8, 9, 8, -12, -12, 3, -2, -14, -10],\n [13, -11, 1, 0, 14, 12, 3, 2, -1, -1],\n [4... | 247079434 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-4, -2, 0, 2, -4, -2, 5, 6, 2, -11],\n [-2, 2, -2, 0, 10, -10, -4, 9, -8, -4],\n [0, -2, -6, -5, -12, 8, -4, 4, 10, -4],\n [2, 0, -5, 3, 3, 1, -2, 6, -4, 2],\n [-4, 10, -12, 3, -10, 2, 0, 3, 6, -11],\n [-2, -10, 8, 1, 2, 13, -2, 7, -8, -1],\n [5, -4, -4, -2, 0... | 2849177573 | MATH |
[
{
"content": "Find the value at position (10, 4) of the 8th power of the matrix:\n[[4, 14, -7, 8, 5, -11, 10, 1, 0, -10],\n [14, 12, -10, 0, 8, 2, -12, 3, -4, 11],\n [-9, 12, -3, 7, 11, 2, -1, -9, -5, 1],\n [3, 12, 5, -9, 4, -12, -3, 1, -12, 1],\n [-11, 10, 5, -2, -11, -11, -8, 6, -3, -13],\n [1, -8, 4, -4, -14... | 21251295926 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[14, 1, -10, -8, 1, 9, 4, -4, 12, -4],\n [1, -13, 14, 0, -5, 0, -12, 10, 0, 2],\n [-10, 14, 9, 2, 2, 8, -2, -2, 8, 1],\n [-8, 0, 2, 7, 8, -2, 0, 4, -1, 4],\n [1, -5, 2, 8, -13, -4, 1, -1, 5, 12],\n [9, 0, 8, -2, -4, -9, -2, -2, -6, -7]... | 2412057855 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-13, 14, -6, -6, 4, -6, -13, 13, 4, 1],\n [7, -1, 5, 9, -14, -2, 7, -13, 7, -1],\n [-14, 0, 3, -6, 7, -7, -8, -6, -6, -4],\n [-11, -8, 6, -8, -11, -3, 11, 12, 12, 2],\n [5, 14, 11, -12, -6, -10, 5, 1, -7, 6],\n [1, 4... | 5237216457580 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[14, 8, -5, 0, 8, -11, -3, -5, -13, -11],\n [5, 13, 13, -9, -1, 8, -12, 0, 11, -14],\n [4, 10, -14, -2, -7, 3, 7, -12, 8, 3],\n [5, 11, -6, -9, 5, -13, 11, 10, -11, 10],\n [3, -8, 12, -4, -10, -... | 4778115759563 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-14, 7, 3, -3, -12, 5, -1, 1, 3, -5],\n [8, 0, -5, -14, 4, -13, -2, 10, 1, -7],\n [-12, 6, 4, -1, -4, 14, -3, -4, 13, -4],\n [7, 6, 12, 3, -5, 1, -7, -9, 4, -2],\n [0, -2, -14, 6, 13, 12, -13, ... | 134897655320 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 4, 0, -5, 8, 2, -4, 4, 8, 4],\n [4, -9, 5, -10, 2, 1, -8, 8, -2, 2],\n [0, 5, 4, 2, 1, 0, 10, 6, -3, -8],\n [-5, -10, 2, -3, 10, 4, 4, 8, -8, 8],\n [8, 2, 1, 10, -7, 0, -5, -8, 8, -8],\n [2,... | 742170076783 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[5, -7, 10, -3, 2, 2, -8, 12, -4, 5],\n [-7, -10, -12, -2, 8, -4, 0, -8, 2, 0],\n [10, -12, 12, 12, 2, 6, 2, 0, -6, 0],\n [-3, -2, 12, -2, 2, 0, -3, 5, -2, 8],\n [2, 8, 2, 2, -12, -7, 4, 4, 10, 2],\n [2, -4, 6, 0, -7,... | 26788438499 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (6, 3) of the result:\nA =\n[[3, 14, 0, 8, 13, 13, -12, 4, 0, 1],\n [7, 7, 2, -14, -4, -9, 8, -6, 5, 1],\n [11, -9, -3, 4, -2, -2, 12, -11, -6, -1],\n [-1, 2, -10, 12, 8, 4, -13, -2, -4, -13],\n [-14, 6, 14, -12, 12, -3, -8, -14, -6, 3]... | -68439499057 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-11, 1, -12, 0, -1, -8, -6, 7, 0, -1],\n [1, 3, 2, 6, -2, -5, -4, -2, -3, -2],\n [-12, 2, -3, 2, -9, 3, -1, -8, 10, -1],\n [0, 6, 2, -3, -2, 3, -6, 7, -4, 0],\n [-1, -2, -9, -2, 5, 0, -4, 10, -2, 0],\n [-8, -5, 3, 3,... | 1529177811184 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-3, -2, 11, 0, 9, -4, -2, -8, 4, 7],\n [-2, -3, 10, -6, -4, -6, 8, -2, -4, -2],\n [11, 10, 5, 8, -12, -8, 6, 0, 8, -11],\n [0, -6, 8, -7, -4, 0, 0, 1, -4, -12],\n [9, -4, -12, -4, -11, -8, 1, 4, 2, 4],\n [-4, -6, -8,... | 14046048644437 | MATH |
[
{
"content": "What is the value at position (8, 1) of the matrix A^6 where A is:\n[[-5, -4, -5, -7, -10, 8, -13, 13, 13, 0],\n [1, -11, 7, 13, 13, 1, -3, 13, -1, -3],\n [13, 6, 1, 1, 7, -3, -13, 8, 9, 14],\n [-1, -4, -6, 7, -8, 14, -3, 14, 2, -6],\n [-9, -3, 5, -5, -6, -3, -14, -13, 4, -14],\n [1, 1, 3, 3, 8, 1... | 342368395 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-14, 0, -3, 9, 3, -10, -4, 9, 6, 4],\n [7, -14, 2, -7, 8, 1, 11, 11, -4, 12],\n [4, 9, -4, 0, -7, -1, -14, -5, -8, 3],\n [-3, -13, 3, 14, 6, -8, 5, 12, -3, 5],\n [10, -1, -5, -6, 8, 0, 11, 5, 9, -5],\n [4, 4, -3,... | -213163608 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-13, 8, 4, 2, 1, 0, 0, -1, 8, 6],\n [8, 10, -2, 3, 5, 6, 0, -4, 10, 4],\n [4, -2, 1, 8, -1, -2, -3, 0, -7, 4],\n [2, 3, 8, 7, -11, 1, -6, -6, 0, 8],\n [1, 5, -1, -11, 2, 13, -6, -8, 6, 0],\n [0, 6, -2, 1, 13, 12, -6, 0, 5, 2],\n [0, 0, -3, -6, -6, -6, -11, 6, ... | -17038840484 | MATH |
[
{
"content": "What is the value at position (4, 5) of the matrix A^6 where A is:\n[[-5, 2, -5, 14, 0, 0, 4, 0, -8, -5],\n [2, 14, 14, 6, 8, -14, 3, 0, -3, 2],\n [-5, 14, 0, 7, -6, -8, 0, 2, 0, -5],\n [14, 6, 7, -9, 0, 2, -11, -2, -10, 2],\n [0, 8, -6, 0, 6, -8, 2, 5, -3, 3],\n [0, -14, -8, 2, -8, -8, 0, -1, 10,... | 63223313 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[10, -12, 8, -8, -14, -4, -13, -10, 9, 7],\n [-1, 14, -2, 1, 8, 0, -12, -9, -6, -12],\n [-2, 14, -2, 7, -8, -10, 11, 14, -7, -7],\n [7, -8, 4, 14, -8, 8, -11, -5, -2, -11],\n [4, -5, -8, -10, -12, 7, 13, 7, 7, -13],\... | 3681216522063 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, 7, -14, 0, 5, -11, 10, -6, 7, 9],\n [13, 11, 5, -5, 9, 0, -12, -13, 7, -10],\n [9, -14, -4, -3, 11, -12, 8, 14, 1, 11],\n [-1, -3, 5, 11, 1, 6, -7, 2, 2, 13],\n [-8, 0, 14, 13, -6, -11, -7, -5, 0, 8],\n [3, -1, -10, -6, -2, 14, 10, 4, -4, -3],\n [-12, -13... | 328222792216 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, -10, -10, -2, -2, 2, -7, -4, -6, -4],\n [-10, 7, -6, -8, -4, 4, 2, 0, 4, 10],\n [-10, -6, -5, 9, -2, -8, -4, 4, 8, 8],\n [-2, -8, 9, 7, 4, 4, 8, -1, -4, 3],\n [-2, -4, -2, 4, -7, 9, 4, -10, -9, 2],\n [2, 4, -8, 4,... | 199683612106 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, 6, -12, 6, 10, -4, 8, 8, -6, -2],\n [6, 2, 2, -8, 1, 2, 3, -6, -2, 4],\n [-12, 2, 12, 0, 2, -12, -4, 7, 3, -2],\n [6, -8, 0, 1, 4, 3, -8, 7, 3, 8],\n [10, 1, 2, 4, 4, 0, 0, -6, 13, -4],\n [-4, 2, -12, 3, 0, -3,... | 16620768210557 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[14, -3, -10, 2, -2, -6, -1, -6, -8, 4],\n [-3, 7, 10, 0, 11, 3, -4, -4, 7, -4],\n [-10, 10, 7, -4, -1, -6, -4, 1, 0, -9],\n [2, 0, -4, -12, 12, -2, -2, -2, 1, -12],\n [-2, 11, -1, 12, -13, -2, -12, 7, -9, -6],\n [-6, 3, -6, -2, -2, 5, -8, 0, -3, 5],\n [-1, -4,... | -404413925 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[13, -7, 4, 14, -5, 7, -10, -10, -10, -6],\n [14, 8, 13, -6, 0, -6, 14, -1, -9, 7],\n [5, -7, -13, -10, 2, -5, -1, 3, -14, 7],\n [-13, 13, -11, -2, 1, -10, 8, -5, 2, 13],\n [-4, -10, 0, -11, -8, -5, 8, 9, -11, 5],\n ... | 17294387971049 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[0, 6, 11, -11, -10, -8, -12, -11, 10, 0],\n [13, -13, 9, 10, -10, -8, 7, 2, -7, -6],\n [-5, -4, -14, 0, -7, 4, -3, -9, -5, 9],\n [-10, 9, -8, -8, 8, 10, 7, 7, 12, -6],\n [0, -9, 1, -8, 0, 8, -13, 14, 13, -7],\n [-3,... | 35444433857 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, 0, -8, -1, -9, -5, -11, 14, -6, -4],\n [0, -3, 0, 4, 8, 8, -1, 5, 8, -2],\n [-8, 0, 13, 4, -4, 6, 3, 0, 5, -8],\n [-1, 4, 4, -13, -8, 8, -3, 3, -7, -10],\n [-9, 8, -4, -8, 13, 2, -2, 2, 10, 0],\n [-5, 8, 6, 8, 2, 0, 2, -2, 8, 9],\n [-11, -1, 3, -3, -2, 2, ... | -168448918 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 8, -5, -10, 9, 1, -8, 4, -4, 4],\n [8, 3, -2, -4, 2, -7, -13, 9, 10, -6],\n [-5, -2, 12, 9, 4, 10, -2, 2, 0, -1],\n [-10, -4, 9, -3, -2, 2, -4, 2, -4, -12],\n [9, 2, 4, -2, 7, -4, -2, 6, 10, -1],\n [1, -7, 10, 2, -4, 14, -10, 2, 0... | 95148806472 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[9, 3, -5, 2, 8, 9, 5, -1, -10, -7],\n [3, -6, -4, -9, -4, -7, 5, 12, 3, 2],\n [-5, -4, -9, 7, 0, 3, -4, 8, -2, 2],\n [2, -9, 7, 10, 1, 8, -7, 4, 6, -4],\n [8, -4, 0, 1, 3, -1, 7, -1, 7, -9],\n [9, -7, 3, 8, -1, 0, -6, 11, -4, 1],\n [5, 5, -4, -7, 7, -6, -2, 4,... | 3114282547 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 8th power of the matrix:\n[[11, -2, 3, -2, 0, 8, 8, 8, 6, -2],\n [-2, -11, 0, 4, 1, -2, -8, -2, -2, -4],\n [3, 0, -12, 12, -8, -6, 2, 1, -1, 12],\n [-2, 4, 12, -4, 0, 10, 11, -11, -6, 2],\n [0, 1, -8, 0, -4, 4, 4, -6, 0, 5],\n [8, -2, -6, 10, 4, -2, 9, 10, ... | -71498224232 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[7, 2, 12, -2, -2, 11, 0, 1, 0, 6],\n [2, 9, 6, 0, -5, 3, -4, 14, 3, 0],\n [12, 6, -1, -11, -11, -2, -6, -7, -8, 2],\n [-2, 0, -11, 6, -10, -2, -3, 1, 8, -6],\n [-2, -5, -11, -10, -1, 2, 8, -4, -2, 0],\n [11, 3, -... | 2698467705 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-14, -7, 13, 8, 1, -10, 14, 11, 11, -8],\n [11, -12, 9, 6, -13, -13, 5, 8, -5, 5],\n [-6, 3, -9, 5, -9, 11, 10, -5, 13, 10],\n [-6, -6, -12, -3, -4, -1, 10, 4, -5, 4],\n [-10, 7, -6, -14, 0, 9, -11, 11, -8, -9],\n [... | 5556182282492 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-1, -10, -7, 8, 12, 0, -14, -1, -2, -6],\n [-10, -9, -3, 7, -5, -11, -8, 2, 10, 0],\n [-7, -3, 14, 8, 6, -6, 9, 4, 6, 2],\n [8, 7, 8, -1, -8, 4, 4, -6, 6, -2],\n [12, -5, 6, -8, 1, 8, -2, 8, -10, -7],\n [0, -11, -6, 4, 8, 1, -10, 2, 0,... | 11894895365810 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, 4, 9, 4, 8, 0, -6, 6, -6, 12],\n [4, -6, 3, 5, 9, -2, -8, 8, -2, 0],\n [9, 3, 11, 1, 2, 0, 8, -6, -2, -1],\n [4, 5, 1, 0, 7, -9, 8, -10, -12, 10],\n [8, 9, 2, 7, 1, -7, 6, 0, -4, -2],\n [0, -2, 0, -9, -7, -7, 9, -4, 2, 0],\n [-6, -8, 8, 8, 6, 9, 14, -5, 6... | 445123597853 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[7, -10, 9, -7, 3, -4, 7, 13, 12, -5],\n [11, 0, -9, 4, 2, 8, -5, -10, 13, 1],\n [-3, 11, 6, 12, 9, 13, -10, 6, -14, -13],\n [-10, 8, 4, 13, 0, -14, -4, 13, 3, -12],\n [13, -6, 9, -11, 9, -2, -6, -12, 1, 7],\n [-7, 11, -8, 10, 8, 2, 10... | 1413724988268 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 4) of the result:\nA =\n[[6, -5, 2, 12, 6, 0, -10, 6, -7, 2],\n [-5, 10, -12, -9, 1, 4, -2, -10, 4, 9],\n [2, -12, 0, 0, -8, 4, 8, 4, 5, -4],\n [12, -9, 0, 2, -3, -4, 0, 2, -12, -4],\n [6, 1, -8, -3, -11, 12, -2, 3, -6, -9],\n [0, 4... | 976527010 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[14, 0, -5, 11, -5, 9, -12, 14, -9, -10],\n [9, 4, -1, 2, -3, -6, 11, 10, -12, 3],\n [-11, -1, 9, -9, 11, 0, 2, 9, -10, 14],\n [-9, 6, 11, -10, 4, -1, -11, -10, -4, 12],\n [-13, 7, -13, 5, -3, 1, 2, -11, -1, -8],\n [0, 1, -7, -13, 4, -14, 8, -11, 12, 11],\n [9,... | -365069300439 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[9, -6, -6, 2, -1, -2, 7, 12, 4, -6],\n [-6, -6, 2, 0, 5, -2, 4, -1, 4, -6],\n [-6, 2, -11, 2, -7, -4, -4, -6, 7, 2],\n [2, 0, 2, 14, -9, 12, -12, 2, 6, -7],\n [-1, 5, -7, -9, 6, -6, 2, -2, 2, 12],\n [-2, -2, -4, 12, -6, -7, 0, -11, -2... | 1828993250411 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, -2, -2, 4, -2, 4, -2, -4, -6, 0],\n [-2, 5, -6, -4, -9, -12, -4, 0, -8, -4],\n [-2, -6, 7, -4, 3, -2, 4, 2, -4, -10],\n [4, -4, -4, 0, 0, 0, 6, -4, 5, 8],\n [-2, -9, 3, 0, -14, -10, 4, -8, -4, -10],\n [4, -12, -2... | 45517868181951 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[4, 8, -4, 6, -5, -9, -10, -1, -12, 9],\n [8, -10, 12, 2, 11, -8, -4, -6, 8, 2],\n [-4, 12, -11, 0, 4, 5, -3, 4, 6, 1],\n [6, 2, 0, -5, 6, -3, -2, 9, -4, 2],\n [-5, 11, 4, 6, 1, -6, -12, 6, 14, 5],\n [-9, -8, 5, -3, -... | 14102396889665 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, -7, 1, -7, 2, -1, -3, -12, 12, 5],\n [-13, -2, 6, -4, 9, -3, 3, -6, 14, -8],\n [-9, 9, -1, 3, -1, -10, 5, 9, -2, -14],\n [-3, 4, -5, 9, -10, 5, -9, -3, 6, -12],\n [14, 12, -1, 6, -11, 2, 2, -1, 0, -8],\n [-11, 2, -9, -4, -3, 0, 12, -3, -4, 12],\n [2, -7, ... | 1212197412 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 3, -3, 10, 1, 12, -11, 2, 2, 6],\n [8, -10, -2, -12, 12, 8, 2, -4, -14, 13],\n [3, 2, -6, 5, -8, -10, 1, -8, -2, -2],\n [0, 8, 2, 2, 12, 4, -5, -13, -1, 8],\n [-12, -8, 10, 13, -4, 2, 0, 4, ... | 3920366835320 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 8, 1, -10, -5, 2, -8, 1, 6],\n [-2, 13, 0, 6, 0, 12, -4, 7, 11, -2],\n [8, 0, -2, 4, 0, 5, 1, 6, 0, -6],\n [1, 6, 4, -12, -10, 2, -8, 2, -6, -9],\n [-10, 0, 0, -10, 12, -4, 12, -7, 0, 6]... | 11187127290277 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.