messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
value |
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[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[1, -4, -8, -12, 3, -4, 8, 12, 6, 8],\n [-4, 10, 1, 2, 0, 6, -10, -1, 0, 1],\n [-8, 1, 5, 4, -14, -6, -4, -8, 6, -4],\n [-12, 2, 4, 2, 8, -6, 12, 10, -4, 0],\n [3, 0, -14, 8, 4, 8, 0, 2, 2, 1],\n [-4, 6, -6, -6, 8, -4, 0, -14, 12, 12],\... | 40874346079 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, -4, -9, -6, -6, 7, 11, -6, -12, -2],\n [-4, 0, 3, 0, -3, 0, 8, 2, 0, -1],\n [-9, 3, -3, 6, 2, 0, -9, -6, 2, -14],\n [-6, 0, 6, -8, 4, 0, -6, -2, 2, -8],\n [-6, -3, 2, 4, -5, 8, 5, -2, 3, 3],\n [7, 0, 0, 0, 8,... | 3497566580745 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[14, 5, 0, -11, -12, 9, 6, 8, 11, 7],\n [-1, -6, 4, -9, -12, 3, 1, -12, -13, -13],\n [11, 12, 8, -5, 0, -12, -7, 14, 3, 12],\n [-4, -8, 4, 10, -8, 10, -13, -9, -10, -1],\n [3, -11, -11, 9, -2, 8, 14, 6, 10, -14],\n [5, -10, 9, -12, 13, 6, 4, -2, -8, -5],\n [-12... | 194544727 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, 7, 10, -14, 12, 11, 6, -6, 9, -8],\n [1, 1, -2, -5, 3, -6, -3, 14, 9, -2],\n [-4, 0, -5, -5, -6, 10, 10, -12, 8, 1],\n [-3, 2, 10, 0, 10, -12, -10, 13, -2, 9],\n [-9, 11, 11, -6, 14, 4, 13, -8, -2, 7],\n [-10, 1, -11, -10, 14, 5, 4, 8, -9, -11],\n [10, -14,... | 346239823 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-14, 2, 10, 5, -14, 1, -2, 3, -5, 8],\n [3, 2, 11, -6, -1, 6, -2, 5, 5, -1],\n [-4, -2, 2, -12, 14, -14, 6, -10, 10, -2],\n [9, -10, -10, 8, -3, -13, 14, 8, 1, 2],\n [-10, -3, 0, 13, -9, -2, -4, 11, 2, -6],\n [10... | 140225990432 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, -4, 0, -1, 4, -12, 8, 2, 8, 7],\n [-4, 1, 0, -6, 5, 1, -7, -12, 0, 9],\n [0, 0, 12, 8, -8, 7, -2, 0, 4, 8],\n [-1, -6, 8, -7, 10, -4, -1, -8, 4, 6],\n [4, 5, -8, 10, -2, -10, -6, 4, -10, 5],\n [-12, 1, 7, -4, -10, -9, -3, 12, 5, 8],\n [8, -7, -2, -1, -6, -... | -1308766252 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, 2, 2, 4, -6, 6, 2, -6, 7, 2],\n [2, -5, -6, -4, -3, -2, 0, -3, 2, -3],\n [2, -6, -14, 2, 2, 1, 10, 8, -2, 3],\n [4, -4, 2, -4, 7, -4, 2, 0, 6, -12],\n [-6, -3, 2, 7, 14, -6, -6, 8, -9, -2],\n [6, -2, 1, -4, -6, 6, 6, 0, 6, 0],\n [2... | 508520374547 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-10, 8, -2, -12, -2, -8, 0, -2, 8, -9],\n [8, -8, -4, 10, 6, 2, -12, -8, 2, 0],\n [-2, -4, 14, -1, 8, -8, 8, -4, 12, 0],\n [-12, 10, -1, -7, -3, 0, 10, -8, -4, -2],\n [-2, 6, 8, -3, -5, -6, 2, 4, 2, 8],\n [-8, 2, -8, 0, -6, 3, -4, 2, 0, 0],\n [0, -12, 8, 10, 2... | 1660750003483 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 8th power of the matrix:\n[[8, 3, 5, 10, 7, -1, -4, 2, 4, 8],\n [3, 0, 0, -6, 2, -4, -2, 2, 8, 12],\n [5, 0, -6, 6, -6, -4, 1, -4, 0, -5],\n [10, -6, 6, -6, 13, -2, -6, -8, 7, 1],\n [7, 2, -6, 13, 10, 9, 5, 10, 13, 6],\n [-1, -4, -4, -2, 9, 8, -8, -4, -4, 0... | -29830327076 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 7th power of the matrix:\n[[-7, 11, 9, 12, 0, 13, -4, -8, -13, 4],\n [-6, 3, -2, 8, -14, 4, -2, -1, 2, 7],\n [5, -14, -10, 5, -1, 12, 11, 12, 11, 3],\n [-2, 8, -3, 0, 9, -11, -6, -12, 14, 7],\n [-4, 0, 1, -8, -8, 7, -6, 2, -2, -6],\n [14, -6, 5, 14, 13, -3,... | -811842977 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -11, 2, 12, -2, -8, 6, -8, 6, 3],\n [-11, 0, -9, 7, -8, -1, 4, 0, 3, 12],\n [2, -9, -1, 4, -5, -11, -3, 5, 2, 0],\n [12, 7, 4, -9, 6, -8, 5, -8, 4, 0],\n [-2, -8, -5, 6, 12, -2, 11, 0, 7, -3],\n [-8, -1, -11, -8, -2, 13, -12, -1,... | 9231472178 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^7 where A is:\n[[-3, 10, -14, -8, 9, -4, -5, -12, -7, -14],\n [-7, 8, 5, -4, -8, 11, 12, 1, -8, -2],\n [-5, 14, 13, 2, -12, -8, -4, -2, -10, 10],\n [8, 4, 0, -14, -10, -2, -5, 14, -10, 8],\n [-14, -5, 3, 12, 7, -7, 5, -12, 4, 4],\n [-13, 2, 1, 6... | 4648251217 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^8 where A is:\n[[10, -8, 3, 9, -7, -4, 14, -1, 3, -2],\n [-9, -2, 11, -14, -4, -8, -5, -13, 1, -10],\n [1, 8, 11, 1, 12, 0, -6, -14, -6, -4],\n [-10, -9, -7, 0, 12, 1, 3, -3, 8, 13],\n [-11, 10, 7, 1, 8, -4, 7, 12, 9, 7],\n [-8, 9, 0, 2, 0, -5, ... | 155278528485 | MATH |
[
{
"content": "Find the value at position (3, 10) of the 8th power of the matrix:\n[[2, -9, -13, 2, -3, 11, 8, -9, -10, -10],\n [10, -6, 13, 13, 7, 14, -12, 8, 5, -10],\n [-8, -3, -8, -5, -7, 2, -10, 0, 13, -6],\n [8, -4, 13, -2, 3, 2, 9, -6, -5, -10],\n [-4, 7, 0, -13, 12, 6, 13, 5, 9, 9],\n [-1, -10, 12, 9, -9... | 17518668599 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (10, 6) of the result:\nA =\n[[5, 3, 1, 10, 13, -2, -6, 4, -8, 14],\n [2, -7, -7, 14, -12, 1, -3, 0, 6, -11],\n [8, 12, -8, -4, 9, -10, -2, -4, -10, -7],\n [6, 14, 14, 2, -4, 4, 3, 13, -5, -10],\n [14, 9, 10, 10, -14, 2, 2, -14, 10, -14... | 8001462872 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, -14, 4, -5, 6, 14, -2, 8, 9, 8],\n [8, -4, 0, -13, -9, 6, -4, 0, -6, -3],\n [11, 12, -11, 13, 8, 12, 9, -1, 7, -12],\n [12, 6, 2, -2, -7, -3, -3, -3, 12, -13],\n [14, -5, 8, -6, -14, 14, -11, 8, -1, 1],\n [10, 3, -13, -9, -12, 5,... | -669933007 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 0, -2, -3, 6, -13, 6, 3, 13, -11],\n [-5, -4, 6, -9, -9, -6, 5, -2, -10, -9],\n [-11, -9, 3, 13, -2, 8, -12, -5, -11, 10],\n [0, -3, 0, 14, 6, 10, 11, 14, 11, -5],\n [-3, 11, 7, -7, 6, 6, -1... | 4137890169269 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, -1, 2, 4, 2, 0, -5, -6, -11, -10],\n [-1, -2, -1, -2, -9, 2, 5, 6, -1, 0],\n [2, -1, 13, -8, 3, 12, -6, 5, 4, 0],\n [4, -2, -8, 8, -12, -1, -2, -4, -6, -8],\n [2, -9, 3, -12, 3, 6, -6, 0, -4, 9],\n [0, 2, 12, -1, 6, -2, 6, -2, 4, -6],\n [-5, 5, -6, -2, -6,... | 279273239214 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, 0, 4, 10, 10, 1, -4, 0, -9, -1],\n [12, -9, 4, -10, -4, -11, 11, 11, 13, -6],\n [-6, 2, -7, 0, -6, -10, -11, 11, 5, 3],\n [-6, 6, 12, -12, 7, -6, -6, 13, 14, 6],\n [9, -11, 6, -8, -8, 14, 8, -7, 12, 6],\n [-14,... | 10244010715221 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-5, 2, -2, 1, 8, 10, 1, 10, -1, -10],\n [2, -14, 10, -7, 4, -10, -8, 0, 0, 12],\n [-2, 10, -10, 2, -6, -2, 0, -4, 0, 0],\n [1, -7, 2, -3, -1, -6, -3, 8, -1, 12],\n [8, 4, -6, -1, -11, -8, 2, 0, 2, 3],\n [10, -10, -2, -6, -8, 12, 6, 8, 4, 3],\n [1, -8, 0, -3, 2... | 98677364 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-7, 4, -10, 6, 2, 9, 13, 6, -5, -4],\n [4, -3, 8, -4, 4, 2, 1, -6, 1, -10],\n [-10, 8, 8, 4, 4, -2, 1, 6, 4, 0],\n [6, -4, 4, 8, 4, 3, 10, 6, -8, 0],\n [2, 4, 4, 4, 0, 12, -2, 9, 5, 11],\n [9, 2, -2, 3, 12, 1, 8, -9,... | 186226330448 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[11, -1, 1, -2, 0, 0, 0, -9, 6, 1],\n [-1, -9, 4, -10, 8, 2, -3, 6, -11, 6],\n [1, 4, -5, 4, -6, -4, 0, -4, -12, -12],\n [-2, -10, 4, -5, -2, 6, 3, 2, -6, -10],\n [0, 8, -6, -2, -12, 4, 0, 4, 8, 8],\n [0, 2, -4, 6, 4, 2, -4, 9, 12, 0],... | 6749539372593 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-14, -2, 0, -2, -2, -9, 4, 4, 2, -4],\n [-2, -2, 0, -7, 0, 1, 8, -2, -8, 4],\n [0, 0, 10, -13, 2, -2, 4, 5, 0, -4],\n [-2, -7, -13, -10, 5, 4, 8, 4, 8, -8],\n [-2, 0, 2, 5, -7, 10, 9, -2, 6, -12],\n [-9, 1, -2, 4, 10, 5, -8, -1, -2, -2],\n [4, 8, 4, 8, 9, -8, ... | 15322229160084 | MATH |
[
{
"content": "What is the value at position (9, 2) of the matrix A^7 where A is:\n[[1, 8, -1, -12, 4, -3, 4, 3, -1, 5],\n [8, -6, -12, 11, 8, -3, 5, 2, -10, -7],\n [4, 11, -11, 0, 4, 0, 11, -1, 1, 9],\n [-5, 9, -1, 5, -4, -13, 13, 4, -12, -11],\n [-4, -2, 3, 3, 4, -3, -14, 9, -9, -12],\n [2, -12, -14, -12, -11,... | -7142162557 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 4, 9, 11, -2, 7, 11, 6, 3, 12],\n [14, 4, 9, 0, 13, -3, 10, -4, 12, 8],\n [-14, 1, 13, 13, -2, 14, -9, 8, 13, -9],\n [-5, 12, 14, -13, 14, 10, -12, -9, 1, -9],\n [9, -2, -11, 0, -9, -14, -6, -3, 10, 8],\n [-4, -2, -14, 4, 13, 6, -... | 87894309494 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[14, -2, 6, -10, 4, 8, 12, -8, 0, -7],\n [-2, -5, -2, -3, -2, -12, -10, -8, 4, -4],\n [6, -2, -13, -13, 2, -6, -3, -6, -5, 12],\n [-10, -3, -13, -11, 2, -4, -14, -8, 4, -2],\n [4, -2, 2, 2, -14, -4, 7, 1, 3, 2],\n... | 22445044043 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[14, -6, -14, 9, -12, -4, -8, 3, -2, 8],\n [8, 10, 3, 1, 9, 1, 6, -5, -6, -7],\n [4, -12, 12, 13, 11, 9, -6, -13, 4, -7],\n [3, -7, -10, -9, -5, 0, 13, -11, -12, 9],\n [-6, 1, 14, 1, 0, 9, -6, 2, 6, -3],\n [8, -7, -1, 12, 3, -3, 12, -1, 5, 8],\n [-10, -14, -2, ... | 83744463989 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[0, 3, 2, 4, -5, -10, -3, 10, 0, 8],\n [-11, -7, 13, 5, 7, 13, 2, -9, 1, 11],\n [-10, -1, -13, 2, 14, -9, -4, -13, 10, 10],\n [-14, -10, -7, -11, 4, -10, -10, 9, 1, 7],\n [3, -4, 2, 14, -12, 3, -11, 4, -6, -10],\n [-... | 9407783559 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, 9, -6, 4, -3, 1, 11, 8, 10, -14],\n [-5, 10, 8, -5, -11, 14, -4, 13, 7, -4],\n [-4, 7, -9, 0, -13, 6, 8, 7, -12, 12],\n [13, -10, 14, 9, -4, 6, -3, 11, -12, -6],\n [12, -12, -13, -9, 9, -9, 2, -7, -14, 10],\n [-7, 7, 0, 3, -2, 10, -7, 14, 5, 3],\n [-2, -1,... | 13328805677 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 4, 10, -2, 8, -4, 3, 4, 2, 9],\n [4, -1, -6, -8, -2, -2, -8, 2, -10, -6],\n [10, -6, 7, 0, -8, -1, -8, 2, -5, 0],\n [-2, -8, 0, -13, -6, -7, -10, 6, 0, 11],\n [8, -2, -8, -6, -4, -4, 8, -2... | 270444404507 | MATH |
[
{
"content": "Find the value at position (8, 4) of the 7th power of the matrix:\n[[1, -2, -4, 0, 14, 1, -9, 12, 11, -4],\n [0, -10, -12, 11, -13, -14, 0, -13, 13, 14],\n [5, -9, -3, 6, 1, -1, -11, -7, -3, 8],\n [-1, 5, 11, -2, 14, -10, -3, -5, 6, 4],\n [-2, -6, -4, -10, 13, -2, -5, 3, 14, 0],\n [5, -3, -11, -10... | -253308437 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-9, -10, 6, -2, 5, -3, 6, -4, -2, 11],\n [-10, 10, -2, 10, 8, -8, -8, 12, 4, -4],\n [6, -2, 9, 0, 2, 3, 2, -1, 4, 10],\n [-2, 10, 0, 14, -1, -4, -2, -2, -9, 6],\n [5, 8, 2, -1, -12, -7, 1, -6, 11, 6],\n [-3, -8, 3, -4, -7, -8, -10, -4... | 2309509961 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 5) of the result:\nA =\n[[7, 1, 8, 12, 12, 10, 8, -4, 8, 0],\n [1, -3, 3, -10, 4, 6, -4, 0, 11, 0],\n [8, 3, 4, -7, -6, -6, 3, 7, -9, 0],\n [12, -10, -7, -6, -10, 2, 2, 5, 2, 0],\n [12, 4, -6, -10, -5, -2, -4, -5, -6, -9],\n [10, 6,... | -168948578803 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 0, 11, -4, -4, -2, -3, -9, 14, 8],\n [5, 4, 4, 12, -12, 1, -6, 12, 12, -1],\n [13, -12, -12, 9, 5, -8, 4, 9, -12, 6],\n [-14, -3, 6, -9, -8, -13, 3, 10, 0, 0],\n [-5, 2, 3, 3, 14, 0, 11, 8, -9, -6],\n [-4, 0, 8, -12, 4, -14, 9, 2,... | -5653654703 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[10, -4, -2, 0, -4, 4, 2, -4, -10, 0],\n [-4, 12, 0, -4, 12, -6, -6, 0, 9, 6],\n [-2, 0, -2, -2, 2, -4, -8, 4, -8, 10],\n [0, -4, -2, 9, 4, -4, -7, 2, -8, -2],\n [-4, 12, 2, 4, 11, -2, 4, 9, -8,... | 319907293975 | MATH |
[
{
"content": "What is the value at position (9, 4) of the matrix A^6 where A is:\n[[13, 10, -2, 7, -1, -2, -4, 6, 4, -6],\n [10, 0, -4, 10, 0, 12, -8, 0, -2, 4],\n [-2, -4, 6, -3, 0, 0, -6, 0, -14, 4],\n [7, 10, -3, 13, 0, -12, 0, 8, 2, 4],\n [-1, 0, 0, 0, 11, 4, 5, 6, 0, 9],\n [-2, 12, 0, -12, 4, -5, -7, 0, -3... | 115041564 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, 12, -1, 10, -4, 0, 4, 3, 2, -8],\n [12, -2, 0, -10, 1, 9, -11, -9, 8, -6],\n [-1, 0, 0, 0, 0, 4, 4, -12, -12, -2],\n [10, -10, 0, -11, 2, 4, 2, -1, -13, -6],\n [-4, 1, 0, 2, 3, -3, -2, -9, 6, -4],\n [0, 9, 4, 4, -3, -11, 4, -6, 2, 2],\n [4, -11, 4, 2, -2, ... | 30337895110 | MATH |
[
{
"content": "Find the value at position (10, 2) of the 8th power of the matrix:\n[[4, 5, -10, 6, 5, 6, -14, 9, 6, 10],\n [5, -14, 5, -2, -5, 4, 12, -5, -2, -10],\n [-10, 5, -2, -6, -8, -6, -7, -3, 5, -2],\n [6, -2, -6, 1, -11, -4, 4, 6, 1, -9],\n [5, -5, -8, -11, -5, -2, -11, 0, -6, 4],\n [6, 4, -6, -4, -2, 5,... | 106093402381 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, -3, 7, 4, -9, -1, -12, -5, -6, 8],\n [14, 5, 4, 7, 0, -6, 4, -7, 7, -11],\n [-10, 4, -1, 3, 10, 14, 4, -9, -10, 11],\n [-4, 9, -10, 12, -7, 12, -10, -4, 11, -2],\n [-9, -10, 3, 11, -5, 1, 7, -1, 8, 0],\n [-12, -... | 321282146073 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-10, -12, 2, -4, -1, 0, 5, 9, 3, 4],\n [-12, 2, 8, -6, -1, -4, -1, -4, 8, 12],\n [2, 8, 3, 0, 4, 3, -6, 8, -12, 4],\n [-4, -6, 0, 1, -5, 2, 10, 11, -5, -3],\n [-1, -1, 4, -5, -4, -9, -8, -4, 1, 3],\n [0, -4, 3, 2, -9, 0, -3, 0, -4, 6],\n [5, -1, -6, 10, -8, -3... | 537570457 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-12, -9, 11, 3, 7, 13, -10, 1, -2, -12],\n [0, 8, 12, 5, 12, -9, 10, 13, 7, -11],\n [0, 11, 3, -6, 5, -11, 1, 3, -10, -2],\n [-9, 11, 7, 4, -3, 0, -6, -8, 14, -1],\n [4, 5, 1, 8, 12, 9, 7, -11, -3, 3],\n [11, -7, 2, 10, 9, -12, 11, -11... | -2330927505 | MATH |
[
{
"content": "Find the value at position (8, 3) of the 7th power of the matrix:\n[[-4, 0, 2, 1, 14, 6, 6, -5, 8, 1],\n [0, -5, 10, 0, -8, -4, 0, 0, 4, 14],\n [2, 10, 3, 2, 0, 6, -7, 2, -4, -5],\n [1, 0, 2, 13, -2, -2, -4, 1, 8, -4],\n [14, -8, 0, -2, 12, -2, 3, -4, -8, -12],\n [6, -4, 6, -2, -2, 11, 4, 3, -1, 6... | -535343409 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-7, 12, 6, 4, -11, 9, 9, -8, -1, 0],\n [12, -7, 4, 6, 0, -8, -3, -3, 2, 12],\n [6, 4, -1, 2, -2, 3, 8, 8, -4, 5],\n [4, 6, 2, 12, 1, -4, 2, 0, 2, 2],\n [-11, 0, -2, 1, 14, 4, -10, -4, 8, 6],\n [9, -8, 3, -4, 4, -12, ... | 8076308521584 | MATH |
[
{
"content": "What is the value at position (5, 10) of the matrix A^8 where A is:\n[[-9, 3, 4, 3, -3, 8, -8, 2, 3, 5],\n [3, -7, -6, -11, 5, -4, 5, 3, 1, -6],\n [4, -6, 1, 0, 2, 6, -10, -2, -8, -10],\n [3, -11, 0, 0, -2, -12, -3, 6, -2, -9],\n [-3, 5, 2, -2, -12, 3, 1, 5, 2, -2],\n [8, -4, 6, -12, 3, 4, -2, -3,... | -165452030101 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (5, 8) of the result:\nA =\n[[-1, 0, 12, 3, -2, -2, 4, -3, 0, 8],\n [0, 11, -7, 3, 2, 4, 14, -10, 4, -3],\n [12, -7, -14, -4, -10, -10, 4, 6, 8, 0],\n [3, 3, -4, -10, 8, 2, 0, 2, 2, 2],\n [-2, 2, -10, 8, -13, -9, 0, 2, 6, 0],\n [-2, 4, ... | -234176030376 | MATH |
[
{
"content": "What is the value at position (2, 7) of the matrix A^7 where A is:\n[[-6, -2, 0, -8, 5, 13, -6, -3, -2, 10],\n [-2, 8, -1, 4, -9, 10, 2, 8, 8, -5],\n [0, -1, -7, -2, -4, -6, 3, 0, -2, 10],\n [-8, 4, -2, -14, -1, 0, 2, 4, -4, 6],\n [5, -9, -4, -1, 6, 0, 6, -13, 4, 4],\n [13, 10, -6, 0, 0, -11, 6, -... | 2163326335 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, 0, -4, 9, -4, -3, 4, 2, 14, -9],\n [6, -7, 0, 7, 5, 11, -5, 13, 0, -3],\n [-4, 3, 9, -10, -3, 9, -10, 7, 14, -5],\n [-1, 1, -10, -4, 4, 11, -7, 4, 5, 7],\n [3, 8, 6, -3, 11, -2, 6, 6, 14, 14],\n [3, 12, 14, 0, 0,... | 12532683323883 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[7, -1, 10, -11, -12, -6, 3, -3, -6, 12],\n [11, 12, 12, 3, -2, 12, -1, -5, -12, 14],\n [-8, 3, 1, 2, 10, -9, 10, -3, 4, -12],\n [11, 13, -12, 3, 14, -4, -9, 4, -10, -2],\n [12, -10, 11, -12, 4, 2, 7, -12, 0, 2],\n [-2, -1, 14, 11, 1, 10, -4, 2, -10, 6],\n [0, ... | -663169901995 | MATH |
[
{
"content": "Find the value at position (10, 7) of the 8th power of the matrix:\n[[-2, -2, -10, 13, -3, -9, 11, 7, -1, -7],\n [9, 7, -7, -8, 2, 6, -4, 11, -5, -2],\n [-5, 6, 11, -1, -6, -8, -8, 11, 3, 1],\n [-7, 1, 4, 0, 10, 0, -9, -6, 0, 10],\n [-8, 11, 13, -7, 3, 6, 1, 0, -12, -14],\n [-2, 7, 14, -3, -6, -13... | -13195442598 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (2, 4) of the result:\nA =\n[[9, 12, 5, 0, 6, -5, -10, -12, -9, 6],\n [0, 3, -1, -5, -11, -4, 5, -8, 0, 8],\n [-6, 0, 11, -3, 3, -9, 3, 10, 3, 7],\n [9, -9, 13, 0, 4, -10, -11, 2, 6, -5],\n [-3, -10, -8, -3, 8, -13, 5, 2, -2, -10],\n [-... | -47988053 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-12, 8, 10, 10, 3, 2, 8, 14, 6, -10],\n [8, 2, 2, -8, 5, -7, -8, -4, -6, -11],\n [10, 2, -4, 8, -4, 1, 0, -2, -4, -8],\n [10, -8, 8, 4, 0, 0, 7, -9, -9, 12],\n [3, 5, -4, 0, -5, 6, 0, 0, -3, -6],\n [2, -7, 1, 0, 6, 1... | 585419199616 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, -7, -4, 8, 5, -2, 4, -6, 4, 4],\n [-7, -14, -8, -4, 4, 0, -8, -4, 4, 11],\n [-4, -8, -10, -6, 0, 4, 0, 3, -2, -5],\n [8, -4, -6, 11, -2, 5, 2, -10, 2, 5],\n [5, 4, 0, -2, -6, -6, -6, -4, 9, -3],\n [-2, 0, 4, 5, -6, -3, -8, 0, -1, 4],\n [4, -8, 0, 2, -6, -8,... | 1993991463248 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 8th power of the matrix:\n[[9, -10, 3, 3, -4, 12, 2, 3, 3, -4],\n [-10, 12, 7, -8, -10, 10, 3, 2, 0, -10],\n [3, 7, 11, 2, 0, -6, 2, -6, -4, 6],\n [3, -8, 2, 10, 8, -1, 5, -2, -4, -4],\n [-4, -10, 0, 8, 9, -2, 0, 0, 12, 4],\n [12, 10, -6, -1, -2, 8, -2, -1,... | -79453753396 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[12, -4, 2, 8, 2, 2, 9, -2, 0, -2],\n [-4, 13, 0, -4, -4, 11, -2, -2, -5, 1],\n [2, 0, 11, 8, 3, 4, 7, -6, 2, 2],\n [8, -4, 8, -2, -4, 6, 9, 4, -6, -1],\n [2, -4, 3, -4, -2, -4, 2, 1, 2, -6],\n [2, 11, 4, 6, -4, 8, 2, 0, 6, -4],\n [9, -2, 7, 9, 2, 2, -9, -2, 6,... | 3206094447573 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, -8, 1, 6, 10, 4, 2, -6, 5, 2],\n [-8, -13, -2, -10, 2, -3, 6, 8, -10, -6],\n [1, -2, 10, 0, 8, 5, 10, -10, 0, -6],\n [6, -10, 0, -13, 14, -7, -6, 4, 11, -4],\n [10, 2, 8, 14, 13, 6, 2, -1, 10, 0],\n [4, -3, 5, -7... | 20810886414 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, 7, 2, 4, 0, -9, 6, 10, 4, 6],\n [7, 9, -6, 6, -3, -4, 1, 9, -2, 0],\n [2, -6, -1, 3, -8, 9, -7, -9, 8, 3],\n [4, 6, 3, 8, 4, 4, -3, -1, 4, -2],\n [0, -3, -8, 4, -10, -10, 4, 4, -2, -2],\n [-9, -4, 9, 4, -10, 0, 0, 6, 4, -1],\n [6, 1, -7, -3, 4, 0, -12, 3, ... | 36642387721 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-10, 10, 10, -8, -6, -11, 4, 12, 5, 0],\n [-8, 9, 3, -10, 6, 14, 10, 14, 14, -2],\n [-12, 13, -9, 11, -3, 6, 3, 3, -11, 13],\n [5, 8, -1, 13, -1, -14, -4, 7, 12, 14],\n [-6, 3, 13, -10, -5, 0, 12, -5, 1, -11],\n [-1... | 15991521608 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, -10, 12, 10, -10, 13, 4, 12, -2, 7],\n [-8, 11, -1, 12, 11, 12, -7, -12, 12, -11],\n [-5, -11, 3, 8, -3, 5, 5, 0, -2, -3],\n [-7, 7, 7, 12, -6, 5, -6, 2, 12, 10],\n [-14, 8, -9, -8, -6, -5, -11, 1, -3, -6],\n [-12... | 1071801440009 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 4, -3, 2, 2, 6, -4, -2, -4, 4],\n [4, 14, -1, -4, 4, 1, -10, -6, 9, 3],\n [-3, -1, -5, 3, 3, -8, -2, 4, -8, 1],\n [2, -4, 3, -9, 6, 0, -6, 2, 0, 2],\n [2, 4, 3, 6, 14, -2, 0, 8, 6, -8],\n [6, 1, -8, 0, -2, -6, -9... | 253589109595 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, 6, 4, 2, 2, 10, -7, 5, -10, 2],\n [6, 9, 2, 0, 7, -6, -1, 10, -4, 8],\n [4, 2, -3, -4, 8, -3, -12, 4, -6, -6],\n [2, 0, -4, -5, 8, 0, -2, 6, 4, -12],\n [2, 7, 8, 8, -2, -6, -8, 8, 5, 14],\n [10, -6, -3, 0, -6, 9, 8, -6, 0, -3],\n [-7, -1, -12, -2, -8, 8, 1... | 112692966100 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-14, 1, 4, -2, 2, -4, 8, 4, 8, -6],\n [1, -4, -1, -8, 4, 1, 4, 0, 2, -9],\n [4, -1, 0, -7, 8, -8, -12, -6, -8, 5],\n [-2, -8, -7, -1, 5, 3, -2, 7, -2, 0],\n [2, 4, 8, 5, 13, 4, 10, 2, -4, 4],\n [-4, 1, -8, 3, 4, 1, 0, 3, -9, -7],\n [8... | -110710100094 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, -13, 5, 11, 12, 3, -5, 9, 11, 6],\n [14, -8, 12, 5, 11, 7, 14, 13, -1, -5],\n [5, 1, -9, 2, -9, 7, 3, 13, -5, -5],\n [-6, 7, 13, 0, -4, 14, -8, 3, -13, -13],\n [11, -2, -4, 10, 4, 14, 5, -14, 2, 5],\n [3, -7, -2, -11, 4, -12, -9, 13, 14, -9],\n [7, -9, 9, -... | -701771880 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[14, 4, -8, 4, 2, -10, 0, 8, 4, 0],\n [4, -3, -9, 2, -1, 0, -6, 0, 12, 8],\n [-8, -9, 9, 10, -1, -6, 5, 6, 4, 4],\n [4, 2, 10, 3, -4, 7, -2, 7, -6, 6],\n [2, -1, -1, -4, 2, -6, 6, -10, 1, 2],\n [-10, 0, -6, 7, -6, 1, ... | 12121572123124 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[2, 13, 7, -2, 1, 5, 5, 2, -10, -6],\n [7, 9, 12, -11, -6, 1, -8, -1, -1, -8],\n [9, 1, 3, 13, -9, -8, 4, -7, -14, 2],\n [11, 4, 7, -8, 3, -9, 13, 6, -9, -14],\n [-5, 8, -7, -8, -6, -14, 11, 10, -4, 12],\n [14, -12, ... | 7780443690713 | MATH |
[
{
"content": "Find the value at position (10, 4) of the 6th power of the matrix:\n[[12, -8, 7, 8, 4, -11, -6, 4, -13, 13],\n [14, 12, -8, 7, 4, -9, 0, -8, -9, -14],\n [13, -1, -14, 10, -9, 13, 3, 12, 2, 12],\n [13, -13, -7, 6, 8, 8, -13, 1, -11, -13],\n [8, -10, 2, -13, 7, -1, 5, -8, 0, 3],\n [-2, -3, -13, -3, ... | -49230954 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 4) of the result:\nA =\n[[8, -3, -13, -4, 6, -1, -13, 0, 6, 8],\n [6, 3, 12, -1, 6, 13, -3, -5, -1, 7],\n [0, -10, -13, 7, -9, -3, -13, 14, 14, -11],\n [-8, 1, -14, -14, -1, -4, -3, -4, -9, 8],\n [-3, 6, -3, -5, -7, 12, 5, 4, -8, -1... | -172606961512 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, 7, 6, 5, -14, -6, 12, -5, 5, -13],\n [5, 14, -4, -10, 3, -8, -12, 1, 0, -7],\n [5, 13, 12, -10, -12, 14, 12, -10, -6, 12],\n [1, 14, -1, 3, -8, 0, 11, -7, -12, -4],\n [5, 14, 12, 11, 3, 0, -5, 14, 10, -12],\n [0, 10, 14, 8, -9, -4, 13, -4, 4, 12],\n [8, 12... | 130665074540 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[4, -5, 1, -10, 12, 1, -14, -10, -2, -2],\n [-12, 2, 4, -10, -10, 0, -5, -3, 9, -4],\n [-14, 8, 6, -12, -11, 4, 9, 5, -12, 3],\n [-12, -8, 7, 11, 13, 14, 6, 9, 12, -14],\n [4, 3, -13, 13, 12, -3, 2, 6, 6, -12],\n ... | 3527757166851 | MATH |
[
{
"content": "Find the value at position (8, 8) of the 7th power of the matrix:\n[[10, 4, -9, -5, 6, -11, 10, 12, 13, 10],\n [-14, -8, 11, 10, 6, 1, 2, 9, -10, 7],\n [8, -5, -8, -2, 13, -8, 0, 2, 8, 12],\n [-12, -10, -5, -10, 9, -8, -8, 7, 8, -1],\n [8, 0, -10, -10, -11, 5, 6, 11, -6, 12],\n [-3, 1, 7, -7, -6, ... | 2555734286 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 8, -4, -2, 8, 6, -3, 4, -6],\n [3, -5, 4, 0, -6, 12, 12, -4, -10, -10],\n [8, 4, 14, 2, -1, -6, 5, -2, 6, -7],\n [-4, 0, 2, -2, 2, -6, -10, 10, -4, 5],\n [-2, -6, -1, 2, 11, 10, 2, 4, 2, ... | 744627305827 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 9) of the result:\nA =\n[[5, -3, -11, 6, -9, -4, 8, 7, -8, 10],\n [-11, 11, 0, -14, -6, 8, 5, 11, -7, -3],\n [-8, 13, 3, -14, -6, -8, -1, 11, -14, -2],\n [5, 0, -10, -10, -1, -1, -1, -10, -4, 4],\n [-10, -11, 0, 6, -8, -10, 0, -1, 9... | 18263526011 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 4, 4, -9, 1, -8, -8, 13, 8, 13],\n [4, 1, 2, 7, 4, 1, 14, 1, 4, 0],\n [-12, 0, 10, 13, 1, 5, -10, 4, -5, -2],\n [0, -3, 2, 0, 13, -11, 0, 2, 12, -4],\n [8, 8, 0, 5, 6, 11, -8, -2, 7, -2],\n [5, 5, -13, -5, 3, ... | 23094851337 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-9, -8, -1, -1, 10, 10, -5, -8, 6, 12],\n [-8, 0, -8, -2, -7, 8, 9, 6, 6, 4],\n [-1, -8, 10, 4, 10, -6, 6, -10, -10, 2],\n [-1, -2, 4, -13, 4, 4, -1, 10, 4, -7],\n [10, -7, 10, 4, 1, 6, 0, -6, -2, -10],\n [10, 8, -6, 4, 6, -3, -8, -8,... | 5418901843 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[13, -9, -7, 10, 0, 5, -14, -10, 1, 6],\n [10, -9, 6, -5, -5, -10, -7, 12, -14, -10],\n [-14, -8, 0, 8, 14, 11, 9, -1, 8, 12],\n [-6, -7, -7, -12, 11, 5, -11, 2, -9, -13],\n [-6, -1, -14, 2, -4,... | 10912723262 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -7, 8, 2, -7, -4, 0, 6, -4, 7],\n [-7, 4, 3, -6, 0, -2, -5, -11, -2, 0],\n [8, 3, 13, 6, 10, -2, 10, 8, -11, -4],\n [2, -6, 6, 7, -3, -11, 4, 2, -6, 10],\n [-7, 0, 10, -3, 2, -2, -2, -4, -3, 2],\n [-4, -2, -2, -11, -2, -12, 0, -2, 2, -5],\n [0, -5, 10, 4, -... | 2524814384262 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[8, 14, -8, -7, -11, -12, -12, -5, 9, 13],\n [0, -2, 4, -7, 3, -10, 6, -8, -10, 10],\n [4, 10, 2, 4, -11, 7, 11, 9, -8, 9],\n [7, -9, -1, 7, 4, 11, 5, -4, 7, 14],\n [-8, -12, 5, 7, 2, -4, 0, -8, 14, 0],\n [12, 2, -4,... | 8369328124914 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-8, 13, 11, 7, 3, -13, 4, 9, 9, -5],\n [0, -5, 11, 13, -5, 12, -3, -7, 8, -1],\n [-13, 2, -9, 12, -7, -14, -12, 0, 2, 11],\n [10, -8, -1, 9, 10, -12, 11, 12, 3, 7],\n [-10, 5, 7, 0, -9, 13, -12, 3, 10, 9],\n [5, 7, -... | 7929349990 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[3, 4, 4, -6, 4, -1, 0, 0, 8, 3],\n [4, 4, -12, 14, 13, -4, 9, 0, 4, 2],\n [4, -12, -13, -12, -8, 0, 5, -2, 2, 2],\n [-6, 14, -12, 9, 8, 1, 8, 0, 9, 14],\n [4, 13, -8, 8, -7, -7, 0, 3, -10, 7],\n [-1, -4, 0, 1, -7, 0,... | 51931266619939 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[12, 6, -11, -4, 4, 14, -8, -2, -2, 6],\n [8, 3, 10, 10, 14, -6, -2, -2, -10, 11],\n [-3, 10, -14, 3, 11, 6, 6, 7, 9, 13],\n [2, -5, 13, -6, 5, -7, 13, 0, -2, 13],\n [6, 2, -6, 9, 6, -4, -11, 9, 10, -8],\n [5, 8, 7, ... | 10120617241894 | MATH |
[
{
"content": "What is the value at position (7, 7) of the matrix A^6 where A is:\n[[1, -10, 12, -3, -12, 14, 1, 4, 2, 13],\n [-4, 6, 4, 12, 3, 12, -6, -2, 11, -9],\n [-12, 8, -3, -6, -6, 0, -14, 3, 0, -7],\n [-4, 2, 12, 13, 12, -1, 4, 12, 8, 9],\n [-10, -13, 0, 4, 10, 1, -2, 12, 14, 11],\n [-8, 14, 2, 4, 10, -8... | 150056133 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 7th power of the matrix:\n[[4, 0, 6, 12, -7, -6, -2, -3, -6, 5],\n [9, -4, -10, 4, 6, 3, -4, 12, -4, -9],\n [-14, 7, 14, 6, 14, -6, 14, -8, -9, 12],\n [13, 8, -5, -10, -14, 0, 10, -10, 5, -9],\n [-10, 2, 3, -11, 9, 6, 8, -13, -7, -10],\n [-11, 10, 7, -1, -1... | -2110314910 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[2, -3, -4, 6, 4, -2, -2, -2, 9, 2],\n [-3, -9, -2, -2, -2, 2, 9, 0, -8, -6],\n [-4, -2, -6, -10, 5, 0, -10, -2, -10, 6],\n [6, -2, -10, -13, 4, 12, 0, -10, 8, 0],\n [4, -2, 5, 4, -13, 0, -12, 3, -2, -2],\n [-2, 2... | 6886753434 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-10, 2, -5, -3, -6, 0, 0, -4, 0, 10],\n [2, 4, 8, -7, 2, 1, 1, 6, 4, -8],\n [-5, 8, -7, 1, 0, 6, -10, -2, 4, -3],\n [-3, -7, 1, -14, 7, -2, 9, -4, -3, -1],\n [-6, 2, 0, 7, -6, 1, -7, -10, 2, 5],\n [0, 1, 6, -2, 1, -8, 8, 0, -1, 0],\n [0, 1, -10, 9, -7, 8, 13, ... | -4596852223 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[13, 12, 7, 0, -1, -11, -4, -2, 1, -2],\n [12, 6, 6, -1, -1, 7, -6, 8, 2, -6],\n [7, 6, -9, -7, 10, 1, -3, 1, -2, 3],\n [0, -1, -7, -6, -8, -2, 1, 4, -6, -6],\n [-1, -1, 10, -8, 7, 0, 6, -8, 8, ... | 136288164145 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, -6, -10, -2, 10, 7, -2, -6, 6, -4],\n [-6, -7, -3, -10, -8, -10, 3, -2, 2, -10],\n [-10, -3, 10, -2, -4, -6, -4, 10, 1, 7],\n [-2, -10, -2, -8, 0, 0, -8, -6, -4, 7],\n [10, -8, -4, 0, -14, -6, 0, 6, 5, -4],\n [7,... | 6581641835218 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[0, -12, 5, 4, 0, 4, -7, 8, -2, 8],\n [-5, -13, -4, 10, 14, 7, 4, -6, -6, -9],\n [14, -5, 7, 9, -7, 0, -9, -8, 5, 2],\n [-11, -7, 13, -2, 9, -1, 3, 8, 14, 2],\n [3, -1, 9, -4, -5, -2, 14, 5, 1, -1],\n [-12, 3, 12, -9, 5, -12, 4, 11, -12, -3],\n [-7, 10, 10, -10... | -635573940051 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-4, -10, -3, 6, -2, -2, 9, -6, -2, -10],\n [-10, 5, -4, 8, 11, -1, -8, -9, -1, 2],\n [-3, -4, -12, 7, -13, 2, 0, 0, -7, -12],\n [6, 8, 7, -3, 1, 0, 4, -2, 0, -4],\n [-2, 11, -13, 1, 5, -6, 0, 0, 2, 11],\n [-2, -1, 2... | 23499167634 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, -8, 0, -12, -10, 7, -7, -11, 3, 4],\n [-7, 8, -9, -10, 12, -10, 2, -9, -2, -6],\n [9, -3, -5, -14, -4, 14, -9, -12, -9, -6],\n [7, -7, 0, 7, -9, 8, -4, 14, -5, -4],\n [-11, 14, -2, -7, 5, 0, -8, -14, 13, 10],\n... | 15585476989507 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, -10, -10, -11, 8, 14, 10, -2, -11, 3],\n [1, 3, -13, 8, -11, 5, 2, 5, -9, 3],\n [5, 12, -8, -2, -6, -13, -7, -1, 7, 9],\n [3, 12, -14, 8, 14, -6, -6, -13, 1, -11],\n [-2, 2, -4, 8, -13, -11, -3, -13, -14, 8],\n [-9, 1, -13, -1, 5, -3, 12, 4, 13, -12],\n [4... | -7163448 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 12, -13, 4, 13, -12, -7, 6, 10, 4],\n [1, 7, -11, -7, 13, -14, -11, -8, 10, 14],\n [-14, 9, 3, -11, 5, -1, -7, 12, 3, -8],\n [-12, 10, 6, -1, -3, 0, -7, -10, 2, 10],\n [-5, -4, 13, 8, 1, 1, -11, 8, -10, -5],\n [-1, -6, 3, 5, -9, -4, 6, 2, -6, 10],\n [-12, ... | 481029863 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 4) of the result:\nA =\n[[9, -6, 2, 9, -2, -6, 10, 1, -2, -8],\n [-6, -11, 2, 2, 4, -8, 8, -2, -5, -10],\n [2, 2, 6, 2, 10, 10, 0, 4, 0, -2],\n [9, 2, 2, -10, -4, 10, 0, 12, 4, -2],\n [-2, 4, 10, -4, 8, 6, -1, 7, -2, 0],\n [-6, -8, ... | 566877343617 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (6, 2) of the result:\nA =\n[[14, 2, -8, 10, -1, 5, -4, 0, 8, 6],\n [2, 13, 4, 0, -2, 4, 8, 9, -2, 0],\n [-8, 4, 4, -2, 2, -4, 8, -2, 0, -9],\n [10, 0, -2, 14, 6, -2, -9, 2, -2, -1],\n [-1, -2, 2, 6, 12, -3, 12, 12, -2, -8],\n [5, 4, -4... | 210007774808 | MATH |
[
{
"content": "Find the value at position (4, 10) of the 8th power of the matrix:\n[[-1, 13, 1, -8, -14, 14, -13, -6, 10, 8],\n [3, 6, 5, 3, 3, -5, -7, 6, -7, -13],\n [3, -4, -4, 4, -4, -5, -7, 0, -7, 4],\n [-14, 8, 5, -12, 6, -3, 1, 7, 1, 2],\n [13, 13, 1, -6, 7, 4, -14, 14, 10, 3],\n [11, -9, -9, -3, -12, -4, ... | -57411704346 | MATH |
[
{
"content": "Find the value at position (8, 2) of the 7th power of the matrix:\n[[2, 10, 4, 2, 10, 12, 12, -1, -2, 11],\n [-1, 11, 1, 6, 13, 0, 10, 4, 7, -4],\n [-3, -4, 13, 8, -10, 13, -7, 11, -9, 1],\n [-3, -9, -2, -8, -7, -3, 14, -13, 8, -6],\n [-2, 2, -2, 1, 13, -14, -8, -2, -1, 6],\n [2, 1, 0, 14, 2, -13,... | -153827705 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[6, -4, 5, -8, -6, 3, 4, -2, -9, -5],\n [-4, 14, 6, 1, 7, -10, -7, 0, 6, 2],\n [5, 6, 11, -4, -6, -3, -10, -6, -4, -7],\n [-8, 1, -4, 3, -4, -4, -4, -11, -3, 0],\n [-6, 7, -6, -4, -13, -10, -2, -3, 1, 7],\n [3, -10, -3, -4, -10, 9, 5, 4, 0, 7],\n [4, -7, -10, -... | 139925910 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-5, 1, 10, -12, 4, -2, -1, -8, -13, 11],\n [-1, 8, 8, 2, -2, 11, 12, -13, -10, -11],\n [-12, 11, -1, -4, -7, 8, -6, 1, -12, -5],\n [-14, -6, 1, -6, 13, -3, -14, 1, -7, -1],\n [-1, -5, -14, -9, -6, 4, 7, 1, 4, -4],\n [6, -4, -1, -8, 12, 11, -3, 5, 5, 8],\n [-10... | 753194787261 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-13, 5, -4, -13, -11, 12, -2, -9, -8, 7],\n [5, 11, -12, -11, 13, 6, 5, -12, -14, 4],\n [12, 6, -2, -1, 7, 13, 1, 14, -11, 2],\n [-5, 14, -8, -2, 10, -2, 7, -1, -9, 1],\n [-6, 5, 1, 6, 6, -3, 1, -10, 9, -4],\n [-14,... | 3503201618661 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -11, 12, 0, 8, 0, 10, 2, -12, -5],\n [10, 6, 7, -7, -6, 9, -12, 11, -14, -4],\n [-2, -3, 14, 6, -8, -13, -14, 5, -12, -11],\n [2, 3, 2, 4, -11, 14, 2, 7, -13, -5],\n [-3, -2, -4, 6, -7, 13,... | 588536853232 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-11, -12, -4, 12, -13, 3, 12, -11, 2, -9],\n [-5, -4, -10, 11, 10, 3, 10, 10, -5, -6],\n [1, -5, -5, -11, 6, 9, -1, -7, -14, 1],\n [11, 2, -5, -9, -8, 3, -13, 6, -6, -10],\n [-7, 9, -10, 9, 0, -7, -10, -10, 5, 2]... | 1849246196096 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 9) of the result:\nA =\n[[-2, 10, -4, -8, 1, 0, 4, 0, -6, -3],\n [10, 4, 2, 10, 0, 4, 10, 2, -10, -4],\n [-4, 2, 14, -4, 9, -2, -8, 8, 4, 0],\n [-8, 10, -4, 8, 8, -6, -6, -7, 5, 10],\n [1, 0, 9, 8, -12, 1, 2, -4, 8, 3],\n [0, 4, -2,... | -6847392116 | MATH |
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