messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1 value |
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[
{
"content": "Find the value at position (5, 4) of the 5th power of the matrix:\n[[-6, 7, 2, -2, -5, 8, -6, 6],\n [10, -2, -2, 11, 8, -9, -5, 11],\n [-10, 9, 8, -11, 11, -1, -7, -11],\n [8, -12, -1, 9, -1, 12, 4, -3],\n [3, 2, 2, 6, -1, 10, 7, 12],\n [-10, -8, 6, -6, 8, -4, -6, 5],\n [-9, 12, 1, 5, -4, 8, -11, ... | 494988 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 5, -5, -9, -11, -7, 9, -3],\n [-9, 9, 5, -1, -11, -3, -9, 1],\n [3, 2, -5, 1, 10, 12, -5, 8],\n [3, 0, 5, 2, 8, 11, 12, 0],\n [-4, 2, 0, -12, 12, -6, -4, 11],\n [-12, -1, -5, 11, -2, 6, 4, -5],\n [-10, -10, -... | -3157026532 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[11, -9, -4, -4, -2, 3, -6, -2],\n [-9, -8, -2, 2, -6, -6, 1, 5],\n [-4, -2, -4, 4, -4, 4, 6, 1],\n [-4, 2, 4, -9, -4, 9, -6, -5],\n [-2, -6, -4, -4, -6, 0, -2, -8],\n [3, -6, 4, 9, 0, -1, -6, 0],\n [-6, 1, 6, -6,... | -11547973 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, -12, 6, -3, -1, 11, 2, 9],\n [11, -4, 7, 4, 4, 7, -1, -6],\n [-11, -10, 4, -8, 4, 11, 4, 4],\n [-11, -11, 9, 10, -8, -12, -12, 6],\n [-11, 8, -1, -7, 10, -9, 10, -2],\n [11, 4, -7, 11, -8, 7, -11, -7],\n [9, -2, 3, 3, -12, -4, -7, 3],\n [-10, 7, -9, 6, -10... | -98322 | MATH |
[
{
"content": "Find the value at position (5, 1) of the 6th power of the matrix:\n[[7, -4, -12, -5, -6, 5, -5, -12],\n [-2, 12, 12, 5, 10, -3, -10, -6],\n [3, 3, 12, 7, 4, -11, -12, 3],\n [-1, -8, -8, 10, -4, -4, -10, 6],\n [3, 3, -10, 7, 11, 9, 11, -12],\n [11, 7, -2, 4, -5, -9, -7, -5],\n [7, -10, 3, 12, -10, ... | 9029435 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, -9, 6, 2, 4, 0, 0, 4],\n [-9, -10, 6, -12, -3, -6, -3, 3],\n [6, 6, 1, 0, -8, -2, 6, 9],\n [2, -12, 0, -12, 3, -10, 0, -4],\n [4, -3, -8, 3, 4, 5, 6, 2],\n [0, -6, -2, -10, 5, 4, -6, 4],\n [0, -3, 6, 0, 6, -6, -1... | 6040706417 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, 9, 10, -11, -3, -11, 4, -5],\n [-12, -4, -2, 9, 3, -6, -3, 10],\n [-10, 5, 12, 11, 0, -6, 12, -9],\n [0, 7, -12, -5, 1, 3, 1, -1],\n [6, 10, 2, -11, -11, 10, 9, 6],\n [12, 9, 9, 4, 7, -3, -7, 2],\n [9, -2, -8,... | 23791749 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[10, 0, 3, 8, 4, 8, -2, 8],\n [0, 11, 7, 2, 1, 4, 6, -4],\n [3, 7, -12, -6, -4, -10, 6, 6],\n [8, 2, -6, 8, -6, 2, 1, -8],\n [4, 1, -4, -6, 3, 5, -7, 0],\n [8, 4, -10, 2, 5, 1, -1, -10],\n [-2, 6, 6, 1, -7, -1, -12, ... | 62247507 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, -4, 0, -10, 0, -6, 2, 4],\n [-4, 10, -12, -4, -2, 0, -2, -2],\n [0, -12, -12, 0, 2, -1, 5, -7],\n [-10, -4, 0, -3, 2, -2, -4, 5],\n [0, -2, 2, 2, -10, 2, 8, -8],\n [-6, 0, -1, -2, 2, -9, 8, 4],\n [2, -2, 5, -4, 8, 8, 12, -10],\n [4, -2, -7, 5, -8, 4, -10, 3... | 952266 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, 5, 4, -6, 11, 10, -8, -1],\n [4, 10, 0, 10, 12, -10, -4, 4],\n [4, 7, 3, 12, 9, 0, 6, 4],\n [-9, -1, -4, 6, -1, -4, -6, 1],\n [7, 6, 2, 3, 8, -8, -10, -1],\n [12, 7, 8, -9, 8, 10, 3, 12],\n [-6, 0, 8, -3, -6, 1,... | 75068726918 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-1, 4, -7, -6, 1, 0, -5, -3],\n [-4, 5, -11, -8, -8, -7, 6, -5],\n [3, 0, -12, 9, 7, 4, -6, 12],\n [0, -9, -9, -7, 6, -1, 9, -6],\n [-3, 6, -6, -10, 0, 0, 5, 7],\n [-5, -4, -6, -12, -10, 0, 12, 4],\n [12, 11, -12... | -1580049179 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-9, -10, 6, 7, 12, 5, 2, -4],\n [4, 1, 2, -12, 8, 9, 9, -10],\n [3, 10, 12, -2, -1, -3, 3, -5],\n [-7, -1, 11, 8, -5, -9, -5, 5],\n [-8, -4, -9, 9, 4, -4, -12, 8],\n [7, 0, 3, 0, 1, -10, -7, 5],\n [6, -8, 2, 12, -11, -3, 11, 5],\n [0, ... | -113592081 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[2, 4, -2, 8, 12, 9, 4, 0],\n [-12, -11, -4, -10, -12, 8, 3, 10],\n [-7, 4, -8, -8, -7, -10, 8, 10],\n [-8, 8, -8, -3, -3, 6, 4, 8],\n [1, -4, 1, -12, 6, 0, 0, -9],\n [-12, 4, -5, -11, -5, -6, -11, 9],\n [9, -10, 5, -1, -12, 9, -1, -8],\n [12, 4, 3, 2, 10, 2, -... | 715869825 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[1, -3, -4, -1, 2, -4, -4, 2],\n [-3, -11, -4, -4, -1, -4, 2, 12],\n [-4, -4, 11, 0, 0, -2, 8, -3],\n [-1, -4, 0, 11, -2, 2, 4, -2],\n [2, -1, 0, -2, 8, -4, -2, 2],\n [-4, -4, -2, 2, -4, 12, 0, 8],\n [-4, 2, 8, 4, -2... | 43245396 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 5, -3, 9, 8, -7, -12, -8],\n [-4, -1, 1, -11, 4, 1, 0, -4],\n [12, 2, 12, 9, 2, 11, -2, 3],\n [4, -9, -12, -5, 4, -10, 7, 2],\n [2, 11, 9, 1, 10, 1, 11, -11],\n [0, 1, 11, 6, -6, -10, 2, 10... | 13305833360 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, 9, -1, 12, 4, 0, 7, 12],\n [-9, -3, -10, -4, 0, 5, 2, -9],\n [2, 9, -11, 2, -5, -5, 4, -1],\n [6, -3, -4, -8, -7, 7, -11, 11],\n [0, -7, -8, 12, -12, 8, 9, 8],\n [-7, -7, 10, 3, -9, -2, 11, 10],\n [-4, 10, -10, 6, -5, -8, -9, 11],\n [-7, -11, 7, -2, -9, 2,... | -14668500 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 6) of the result:\nA =\n[[4, 3, 0, 4, 0, -6, -1, -6],\n [3, 6, 4, -4, -8, -9, 6, -2],\n [0, 4, -12, 0, 4, 0, -1, -10],\n [4, -4, 0, -2, 1, -2, -2, -6],\n [0, -8, 4, 1, -3, -10, 6, 1],\n [-6, -9, 0, -2, -10, 7, 0, -4],\n [-1, 6, -1, ... | 5590461 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, -4, -11, -1, -10, -10, -12, -5],\n [9, -5, -2, -4, -8, 1, -10, 8],\n [-8, -8, 6, 1, -9, 12, 0, -3],\n [12, 5, -5, -5, -6, -5, 1, 6],\n [-7, -12, 10, 2, -12, 12, 4, -12],\n [2, 10, -11, 1, 8, -5, -5, 6],\n [-6, 6, -7, -7, -10, -6, 6, -5],\n [-3, 7, 2, 2, -1... | 131267481 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-7, 0, -5, -8, 0, -10, -4, 4],\n [0, -3, -8, 0, -10, 1, -6, 0],\n [-5, -8, 0, 1, 2, 3, 4, -7],\n [-8, 0, 1, -1, -4, 0, 9, 4],\n [0, -10, 2, -4, 7, 0, -8, -7],\n [-10, 1, 3, 0, 0, 1, 0, -4],\n [-4, -6, 4, 9, -8, 0, -5, 4],\n [4, 0, -7,... | -11332292 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, -3, 4, -4, 9, 6, 1, -5],\n [-4, 9, -2, 10, -12, 1, -8, 8],\n [1, -9, 9, 10, 12, -12, 9, 10],\n [6, -5, 2, 8, 2, -4, 8, -4],\n [-3, 7, 12, 8, -4, -10, 7, 12],\n [-2, -7, -11, -6, 5, -11, 4, -2],\n [-1, 6, 9, 11, 12, -6, 7, -7],\n [8, 11, -12, 4, -2, 9, 5, 8... | 230360486958 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, 2, 8, -2, 0, -3, 8, 10],\n [2, -5, 5, -2, -10, -2, 8, 8],\n [8, 5, 4, 3, 4, -4, 0, 0],\n [-2, -2, 3, 2, -2, -2, 2, 6],\n [0, -10, 4, -2, -12, -2, -1, 3],\n [-3, -2, -4, -2, -2, -11, 0, 6],\n [8, 8, 0, 2, -1, 0, 10... | 219881495 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[6, -12, 2, -5, -11, -10, 11, 1],\n [11, 1, -2, 3, -9, 7, -8, 9],\n [8, 1, 10, 3, 5, -6, -3, -6],\n [-12, 10, 8, 6, 3, 6, -9, 5],\n [-11, -12, 2, -8, 7, -2, -3, -11],\n [-10, 10, 10, -1, 7, -8, -8, -7],\n [-4, -11, 8, -1, -10, 7, 9, -1],\n [11, 4, -3, 11, 1, 10... | 75248463 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, -1, -5, -6, -3, -8, 0, 9],\n [-1, -4, 10, 2, 4, -5, -2, 4],\n [-5, 10, -8, -4, 0, 2, 8, -6],\n [-6, 2, -4, -11, 0, -4, 6, 0],\n [-3, 4, 0, 0, 9, 10, 0, 0],\n [-8, -5, 2, -4, 10, 8, 2, -2],\n [0, -2, 8, 6, 0, 2, -2, -8],\n [9, 4, -6, 0, 0, -2, -8, -2]], dete... | 659353 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-9, 4, -6, -5, -10, 9, -11, 10],\n [2, 11, 9, 9, -8, 11, -12, -9],\n [2, 7, 6, -10, 7, -2, 4, 0],\n [-2, -11, -4, -11, 8, -4, -4, -5],\n [4, -12, 12, -2, -5, -3, 12, -6],\n [-10, -10, 5, -8, -1, -1, 6, -7],\n [-11, -1, 6, -8, -1, 4, 4,... | 3000675 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 8, 4, 10, -8, 9, 3, -7],\n [-5, 12, 5, 12, -1, 2, -4, 0],\n [2, -3, 3, -6, 4, 10, 8, 9],\n [-6, 1, 2, 8, -6, -4, 6, 3],\n [-5, 5, 10, 5, 7, -6, -10, 5],\n [-3, -6, 4, 1, 11, -10, -1, 0],\n ... | 19271945839 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 5) of the result:\nA =\n[[5, -11, -2, 6, -6, -5, -4, 1],\n [-11, -3, -5, 4, -6, 2, 0, -9],\n [-2, -5, 7, 3, 6, -4, 7, 0],\n [6, 4, 3, 12, -6, 12, -1, 0],\n [-6, -6, 6, -6, 0, 2, 12, 0],\n [-5, 2, -4, 12, 2, -12, 10, 6],\n [-4, 0, 7,... | 5786560 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 6) of the result:\nA =\n[[-2, 0, -11, 12, -6, 7, -9, -5],\n [7, 9, 8, 6, 0, 1, -3, -2],\n [-11, 12, -4, 4, -10, 11, -7, -8],\n [-8, 9, 2, 10, 4, -4, -10, 7],\n [4, -3, -10, 5, 5, 4, 11, -10],\n [-10, -7, 0, 11, 2, 12, -4, -9],\n [1,... | 468194046 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, -8, -1, -8, 8, 1, -4, 2],\n [-8, 3, 4, -9, -2, 8, 0, -7],\n [-1, 4, 5, -5, -2, 7, 1, 8],\n [-8, -9, -5, 0, -6, -8, 0, 1],\n [8, -2, -2, -6, 3, -6, 5, -6],\n [1, 8, 7, -8, -6, -7, -4, -4],\n [-4, 0, 1, 0, 5, -4, -3, -1],\n [2, -7, 8, 1, -6, -4, -1, -1]], de... | 223138285 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 3) of the result:\nA =\n[[-6, -11, 0, 1, 4, -4, 4, -5],\n [-11, 11, 0, -10, 3, -7, 6, -6],\n [-3, -4, -11, 2, -8, 9, -9, 7],\n [-9, 5, -9, 4, -1, 9, 4, -3],\n [9, -12, 9, 11, 5, 5, 1, 2],\n [-1, -9, -10, 7, -1, -6, -2, -12],\n [-7, ... | -113290581 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^7 where A is:\n[[10, -2, 0, -9, 4, 4, 3, 5],\n [-2, -10, 6, 0, 6, 2, 5, -2],\n [0, 6, -7, -2, 6, -3, 0, -4],\n [-9, 0, -2, -10, 4, 6, 0, -1],\n [4, 6, 6, 4, -5, 3, 10, 6],\n [4, 2, -3, 6, 3, 7, -2, -10],\n [3, 5, 0, 0, 10, -2, 2, 4],\n [5, -2, -... | -149926482 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 12, 9, 9, 8, 8, -11, 11],\n [-5, -2, 0, 4, -5, 8, 5, 5],\n [1, 2, -7, -2, 0, 12, -12, -7],\n [-4, -5, -2, 9, 6, 11, -4, 4],\n [-1, 12, 1, 2, 3, 9, 9, 7],\n [-12, -3, -5, 5, -12, -11, -12, -12],\n [-4, 0, -12, 0, 7, 9, -6, -11],\n [-7, -6, 1, 5, 2, -11, -3, ... | -246955530 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-1, 4, -5, -2, -10, -7, -4, -7],\n [-4, -6, -4, 5, -1, -5, -5, 5],\n [7, 2, -6, -2, 7, 3, -9, -7],\n [9, -10, -4, -3, 1, -2, 5, 9],\n [-1, 10, -1, 0, 12, 0, 6, 6],\n [10, 1, -9, 0, -5, 10, 8, 10],\n [6, -1, 5, -7, 5... | 32839690 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -6, -1, 4, 8, 11, 7, -8],\n [-9, -1, 7, 11, 5, 4, 6, -4],\n [-9, 8, -11, -9, -11, 2, -11, -9],\n [-7, -6, -3, 6, 6, 9, -1, -10],\n [0, 5, -5, 8, 2, -12, -10, -5],\n [-9, 3, 10, -3, -1, 1, 1, -11],\n [10, -8,... | -15666529 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 12, 12, -11, -10, -8, -8, -12],\n [-5, -1, 11, -9, 0, 10, 2, -2],\n [-3, -10, 9, 1, 3, -3, -3, -1],\n [-4, -12, -8, 7, -5, -2, -1, -12],\n [12, 9, 7, 12, -2, -8, 2, -8],\n [-1, -8, 4, 4, 11,... | 27678577308 | MATH |
[
{
"content": "What is the value at position (8, 3) of the matrix A^5 where A is:\n[[-8, -12, 4, 6, 1, -1, -3, 7],\n [8, 5, 11, -2, -11, 12, 5, 12],\n [-6, 11, 2, -2, 5, 10, -1, -7],\n [7, 10, 0, 7, 3, 5, -3, 10],\n [-5, 5, 8, -12, 10, -5, -7, -8],\n [2, 9, 2, -11, -12, 10, 10, -2],\n [-3, 5, 5, 4, -5, 2, -5, 4]... | -324925 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, -3, 8, -3, 1, 4, -2, 2],\n [-3, -4, -6, -6, 9, 6, 6, -7],\n [8, -6, -4, 2, -4, -4, -10, -2],\n [-3, -6, 2, -7, -6, -4, 2, -2],\n [1, 9, -4, -6, -12, 5, 6, -2],\n [4, 6, -4, -4, 5, -6, -4, 2],\n [-2, 6, -10, 2, 6, -4, -1, -9],\n [2, -7, -2, -2, -2, 2, -9, 1]... | -847453 | MATH |
[
{
"content": "Find the value at position (8, 2) of the 6th power of the matrix:\n[[-4, 1, 0, -3, 2, -10, -2, 2],\n [1, -1, -3, -6, 6, 0, 5, -5],\n [0, -3, -2, 2, 6, -4, 4, 5],\n [-3, -6, 2, 8, 11, 4, 6, -4],\n [2, 6, 6, 11, -9, 2, 4, 3],\n [-10, 0, -4, 4, 2, -11, -4, -4],\n [-2, 5, 4, 6, 4, -4, -5, -3],\n [2, -... | -619360 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -6, -1, -3, -6, 0, -6, 11],\n [4, -3, -3, 11, -9, 7, -9, 9],\n [-6, 9, -12, -1, 11, 0, -3, 2],\n [0, 10, 9, 9, 8, 9, -4, -4],\n [2, -3, 11, 12, -3, -5, 11, 3],\n [4, -8, -9, 5, 11, 6, -9, -... | 49135279 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 8, 4, 9, 3, -8, 2, -10],\n [-6, -2, -3, -4, 1, 0, 12, 12],\n [-11, -10, -6, 8, 5, -10, -3, 9],\n [-6, -4, 4, -2, -6, 11, 1, 6],\n [-9, -7, -3, -6, 0, 1, -9, -5],\n [-8, -12, -9, -10, -4, -5, -12, -7],\n [-4, ... | -4518828647 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 4) of the result:\nA =\n[[-10, 9, -7, -11, 10, -1, -11, -7],\n [4, -10, -11, 10, 7, -5, 9, -1],\n [-9, -8, 0, 2, 12, 10, 3, -3],\n [12, 10, 3, -1, 4, 3, -1, -5],\n [7, -10, 3, 0, 10, 6, -5, 9],\n [-8, 7, -5, 11, -1, -12, 12, 8],\n [... | -954803952 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, 5, 0, -11, -4, 8, -11, 12],\n [-4, -12, -2, -10, 7, 10, -9, 5],\n [10, -7, -10, 9, -2, 2, 9, -8],\n [7, -3, -1, 2, 4, -3, -7, 5],\n [0, -10, 11, -3, 1, -7, -10, 3],\n [-6, 7, 1, -4, 2, 8, -10, -11],\n [-11, -10, 5, 1, 7, 5, -3, 12]... | 446223653 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, 10, 6, 6, -2, -4, -2, -6],\n [10, 0, 5, -9, -8, 2, -2, -7],\n [6, 5, -9, -1, -2, 5, -2, 6],\n [6, -9, -1, -11, 11, 6, 4, -8],\n [-2, -8, -2, 11, -11, -3, 4, 2],\n [-4, 2, 5, 6, -3, -10, -2, 2],\n [-2, -2, -2, 4, 4... | 135693027464 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, -6, 5, -8, 7, -10, -6, 9],\n [1, -6, -8, 9, -8, 10, -11, 8],\n [9, -7, 2, 8, -3, 10, 11, -6],\n [-8, -12, 0, 8, 5, 0, 8, 8],\n [5, -8, 0, -9, 4, -10, 4, -2],\n [8, 7, 10, 8, -9, -11, 7, 3],\n [5, -5, -10, -4, 7, -7, -3, 8],\n [-3, 0, 4, -4, 4, 11, -4, -4]]... | -338812488 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -6, 4, -1, -8, 6, 0, 2],\n [-6, 10, 0, -6, 4, 2, -1, 0],\n [4, 0, 11, -2, 6, -6, 2, -10],\n [-1, -6, -2, 0, 3, 6, 8, 0],\n [-8, 4, 6, 3, -10, 1, 1, -2],\n [6, 2, -6, 6, 1, -2, 0, 3],\n [0, -1, 2, 8, 1, 0, -8... | -3199743 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, -6, -2, 2, 8, -2, 6, -2],\n [-6, 1, -6, -8, 4, 8, -2, 2],\n [-2, -6, -1, -4, 0, 8, 5, 4],\n [2, -8, -4, -3, -2, 2, -6, 6],\n [8, 4, 0, -2, 1, 9, 4, 2],\n [-2, 8, 8, 2, 9, 1, 2, 6],\n [6, -2, 5, -6, 4, 2, -4, -2],\n [-2, 2, 4, 6, 2, 6, -2, 1]], determine th... | 573378237 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, 10, 0, -5, 4, 2, -6, 3],\n [10, 0, 6, -12, 5, -5, 2, -3],\n [0, 6, 10, 11, 6, 0, -1, -3],\n [-5, -12, 11, -10, 0, -1, 4, -2],\n [4, 5, 6, 0, 2, -8, 4, 2],\n [2, -5, 0, -1, -8, -12, -6, -4],\n [-6, 2, -1, 4, 4... | -6419976854 | MATH |
[
{
"content": "Find the value at position (6, 2) of the 6th power of the matrix:\n[[9, -3, 9, -1, 4, 1, 1, 12],\n [-11, 8, 12, 7, -2, 3, 6, 10],\n [-7, 11, 6, -8, -9, 2, -9, 7],\n [-3, 11, 9, -10, -8, -7, 8, 9],\n [-5, -6, 8, -3, -7, 1, -9, 12],\n [0, 7, 4, 10, -6, -9, 1, -10],\n [11, -8, 3, 10, 7, -9, 11, 11],\... | 21049569 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[11, 0, -1, -7, 8, -9, 6, 3],\n [0, -9, 10, 4, 10, -12, 5, 7],\n [4, 2, -2, 12, 9, 0, -12, 4],\n [-7, -9, 7, 3, 2, 2, -7, 2],\n [1, -2, -6, -4, 3, -8, 12, 7],\n [-3, 5, -10, 0, -2, 4, 9, 0],\n [-7, 4, 0, 6, 8, 6, -3, -10],\n [1, 6, -8, -8, 7, 4, 8, -3]], determ... | -88687 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-8, -9, -7, -9, -6, -6, 5, -10],\n [-12, 11, 12, -9, -7, -4, 9, 1],\n [-1, 12, 7, 11, 12, -9, 8, 11],\n [-1, -3, 9, -6, -10, 10, 1, 11],\n [-3, 3, 3, 9, -3, 12, 0, -7],\n [-1, -4, 0, -9, 11, -2, 7, 5],\n [-2, 12, 8, ... | 6340973564 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (2, 1) of the result:\nA =\n[[-6, 8, -3, -1, 11, 1, 12, -8],\n [8, 5, -8, -10, 10, -8, 11, 4],\n [6, 6, 12, 8, -1, 12, -4, -12],\n [5, 8, -9, -3, 12, -6, 9, 10],\n [-12, 4, 11, -11, -2, -4, -6, 9],\n [4, 4, -11, -7, 1, -7, -11, -12],\n ... | -2290524 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[11, 2, -5, -7, -3, -10, 6, 4],\n [-6, 8, 7, -9, 1, 7, 9, 2],\n [11, -5, 8, 2, 9, 7, 1, -4],\n [-5, 4, -11, 12, 11, -10, -5, -1],\n [-12, -3, 7, -10, -7, -6, 7, 10],\n [12, 5, -2, 6, -8, 6, -2, 11],\n [-1, -3, -5, 11, -4, -9, -8, 8],\n [-5, 10, -4, 2, 2, 3, 1, ... | 7133648 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[5, -6, -2, -7, 4, -11, -8, -2],\n [-6, 0, 0, 3, 0, -7, 2, -4],\n [-2, 0, -5, 0, -4, -4, 0, -8],\n [-7, 3, 0, 6, -2, 4, -6, 4],\n [4, 0, -4, -2, 10, 0, 0, 0],\n [-11, -7, -4, 4, 0, 12, -10, 0],\n [-8, 2, 0, -6, 0, -10, -4, 2],\n [-2, -4, -8, 4, 0, 0, 2, -11]], ... | 434012449 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -1, -4, 8, 11, -11, 9],\n [-10, -1, 3, 8, 11, -12, 8, -10],\n [7, -11, -4, 6, 2, 5, -2, 12],\n [10, 3, 9, 4, -8, -1, -2, 2],\n [-10, -12, 7, 3, -11, -11, -10, -5],\n [11, 2, -6, -7, -4, ... | 73774192 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-9, 2, -2, 0, 2, -2, 6, -4],\n [2, 6, -6, -2, 6, -8, 8, -2],\n [-2, -6, -9, 10, 4, -2, 4, 2],\n [0, -2, 10, -5, 8, 0, 0, 3],\n [2, 6, 4, 8, 1, 0, -4, -8],\n [-2, -8, -2, 0, 0, 1, 4, 10],\n [6, 8, 4, 0, -4, 4, -7, 8]... | 1928380999 | MATH |
[
{
"content": "Find the value at position (8, 3) of the 7th power of the matrix:\n[[1, -6, 9, -2, -2, -5, -2, -1],\n [-6, -5, -4, 2, -6, 10, 2, 10],\n [9, -4, 4, 6, 4, -11, -2, -2],\n [-2, 2, 6, -8, 0, 1, -4, -1],\n [-2, -6, 4, 0, -4, -4, -4, 5],\n [-5, 10, -11, 1, -4, 10, 2, -6],\n [-2, 2, -2, -4, -4, 2, -4, 6]... | -874048568 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[6, -10, -1, -1, -4, 8, -3, -2],\n [-10, 9, -3, -6, 8, 0, 4, -3],\n [-1, -3, 10, -7, -8, 6, 10, 7],\n [-1, -6, -7, -5, 0, -2, -12, 4],\n [-4, 8, -8, 0, 1, -8, -2, -2],\n [8, 0, 6, -2, -8, 4, 4, 8],\n [-3, 4, 10, -... | 36719314 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -1, 6, 8, 0, -2, 8, -2],\n [-1, 0, -7, 0, 9, 2, -4, 4],\n [6, -7, -5, -1, 4, 2, 0, -2],\n [8, 0, -1, 3, -1, 2, -2, -6],\n [0, 9, 4, -1, 0, -4, 2, -1],\n [-2, 2, 2, 2, -4, -9, -2, -10],\n [8, -4, 0, -2, 2, -2, 4, -8],\n [-2, 4, -2, -6, -1, -10, -8, -3]], de... | -6426192 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 3) of the result:\nA =\n[[-11, 6, -2, 0, -3, 1, 5, 6],\n [9, -4, 12, -6, -10, 7, -7, 8],\n [-11, -7, -10, 3, -5, -11, 4, -4],\n [-1, -10, -2, -12, 10, 0, 2, -8],\n [8, 4, 12, 10, 11, 12, -7, 8],\n [9, -2, 5, -9, -10, 0, 10, -4],\n [... | 3477376 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 11, -6, -11, 11, -8, -6, -9],\n [-8, 11, -12, -12, 2, 7, 6, -3],\n [5, -10, -2, 2, -2, 4, 4, -7],\n [-8, -5, -11, 3, 7, 11, -1, -7],\n [-12, -9, 4, 0, 5, -8, 11, 11],\n [-10, -2, 0, -9, 1, 9, -2, -3],\n [6, 5, -7, 2, 8, -3, -8, -8],\n [-3, -8, -10, 10, -7... | -8177373462 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 7, 4, 0, 3, 9],\n [-9, -8, -8, -4, 4, 0, -11, 0],\n [9, 8, 10, 6, -10, -3, -11, 0],\n [6, 4, 8, 1, -1, 8, -1, -2],\n [-6, -9, 6, -12, 11, -10, 0, 2],\n [-11, -2, -9, 6, 4, -10, 5, -5],\n [9, 12, 11, 6, -... | 1693707161 | MATH |
[
{
"content": "Find the value at position (6, 5) of the 6th power of the matrix:\n[[-2, 9, 0, 2, -1, 9, 8, 9],\n [-2, -6, -8, 4, 11, 7, -4, 1],\n [-1, -7, 4, 6, 6, 3, -1, -1],\n [7, -7, 10, -9, -7, -2, -12, 11],\n [10, 2, -2, 12, 6, 5, 4, 6],\n [8, 1, 5, 6, 2, 2, -9, -6],\n [0, -10, 3, -4, -5, 7, 0, 4],\n [4, 4,... | 2393915 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 0, -5, 8, -4, 0, 2, 4],\n [0, -10, 2, 1, -6, 2, 6, -6],\n [-5, 2, 11, -8, 12, 2, -1, -8],\n [8, 1, -8, 4, -6, -5, -8, -10],\n [-4, -6, 12, -6, -12, -5, -4, 0],\n [0, 2, 2, -5, -5, -9, -4, -6],\n [2, 6, -1, -8, -4, -4, -9, -4],\n [4, -6, -8, -10, 0, -6, -4, ... | 161578974 | MATH |
[
{
"content": "What is the value at position (5, 8) of the matrix A^7 where A is:\n[[0, 6, -7, 3, -11, -5, 4, 10],\n [-11, -3, 3, -7, -11, -11, 0, 11],\n [2, -11, -6, -10, -5, 10, 1, 11],\n [10, 9, -6, 8, -6, -12, 4, -4],\n [8, 0, 8, 6, 8, 6, 12, 12],\n [9, 4, 10, 10, -3, -3, -9, -5],\n [9, 7, 7, 5, 1, 5, 1, 7],... | 215929314 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -1, 10, 1, -11, 5, 11, -11],\n [-2, -4, -1, 4, 2, 12, 4, 5],\n [9, -7, 4, 10, 11, 5, -5, -4],\n [-7, -8, -1, 12, -2, 12, -12, -2],\n [6, -4, -11, -1, -9, -9, 5, 2],\n [6, 0, 6, 4, -7, 3, 11,... | 62167774 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-12, 11, -1, -2, 4, -9, 2, 12],\n [-4, 8, 7, 6, 6, -1, -8, -3],\n [4, -8, 9, 3, -6, -4, -10, 2],\n [3, 5, 1, -10, -1, -4, -6, -4],\n [0, 5, -8, 0, -9, -11, 3, -4],\n [-4, -7, -2, 9, 11, 9, -12, -9],\n [0, 10, 0, 0, -11, -4, 11, -5],\n... | 336765447 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-5, 9, 9, -12, -9, 8, -2, -10],\n [0, 12, 4, 9, 9, -3, 8, -1],\n [2, 8, -3, 1, 0, -8, -7, 11],\n [-11, 9, 4, -9, 1, -3, -10, 12],\n [-10, 2, -7, 4, -1, 9, 7, 11],\n [-2, 12, -9, -7, -12, 7, 10, 3],\n [2, 4, -5, -1, 9, 8, -3, 2],\n [-4,... | 272477271 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[10, 1, 2, 10, 0, 7, 1, -2],\n [1, -9, -2, -8, 0, 4, 0, -2],\n [2, -2, -12, 2, 6, 8, -4, 4],\n [10, -8, 2, -10, -6, -6, 0, -2],\n [0, 0, 6, -6, -5, -1, 11, -6],\n [7, 4, 8, -6, -1, 9, -4, -2],\n [1, 0, -4, 0, 11, -4, 0, 4],\n [-2, -2, 4, -2, -6, -2, 4, -2]], de... | 386675826 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 5) of the result:\nA =\n[[-2, 0, 6, -2, 8, -6, 4, 0],\n [0, 2, 2, -5, 5, 2, 2, -9],\n [6, 2, -4, 0, 6, 4, -4, 4],\n [-2, -5, 0, 8, -1, -5, -4, 2],\n [8, 5, 6, -1, 1, 0, -6, 2],\n [-6, 2, 4, -5, 0, -12, -2, 1],\n [4, 2, -4, -4, -6, -... | 168255014 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[12, 5, 6, 10, 10, -7, 9, 5],\n [-7, -9, -1, 6, -11, 4, -2, -2],\n [8, 3, -11, -11, 10, -5, 0, -3],\n [-5, -9, 2, -12, -2, -6, 4, 7],\n [11, 5, 9, 9, -1, -4, -8, -3],\n [-9, -8, -3, -2, 8, 11, -3, -5],\n [-11, 10,... | -103320198 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[10, -11, 6, -12, 12, -6, 4, -10],\n [7, 7, 8, -10, -10, 4, -6, 1],\n [4, 5, 0, 7, 7, 8, 5, -9],\n [-12, 5, -12, 0, 7, 7, 10, -3],\n [-2, -4, -4, -8, -12, 4, 9, -11],\n [11, 0, -4, -9, -8, -2, 11, 6],\n [8, -10, -1, 6... | 1657887340 | MATH |
[
{
"content": "What is the value at position (5, 8) of the matrix A^5 where A is:\n[[-3, 5, 2, -2, 10, -4, 4, -7],\n [5, 6, -4, -8, 2, 4, 4, -2],\n [2, -4, -8, 0, 0, -1, 3, 2],\n [-2, -8, 0, 11, 2, 2, -8, -4],\n [10, 2, 0, 2, 11, 10, 2, -4],\n [-4, 4, -1, 2, 10, 9, -7, -4],\n [4, 4, 3, -8, 2, -7, 8, 0],\n [-7, -... | -2944174 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (7, 5) of the result:\nA =\n[[-9, 2, -4, -8, 0, 10, 5, -8],\n [12, 3, 6, 1, 12, 3, 2, 9],\n [-9, -6, 3, 11, 9, 8, 9, 8],\n [-5, 4, 3, 10, -3, -3, -11, -4],\n [4, -2, -3, 9, 12, 4, -9, 3],\n [7, 2, 12, 8, -8, -7, 4, -12],\n [12, 6, -9, 4... | 249722 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[4, -11, -4, -4, 0, -7, -7, 7],\n [7, 8, -10, 4, 4, -1, 3, 2],\n [0, 10, -12, 4, -10, 2, -9, -9],\n [5, 4, 6, -2, 7, -10, -5, 1],\n [-12, 1, -11, 10, -9, 11, 6, -7],\n [12, -12, 4, -5, 6, 8, -12, -8],\n [3, -7, -5, 0, 3, -10, 6, -1],\n... | 379978335 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, 11, 9, 6, 12, -8, -5, -6],\n [1, 11, 10, -10, 5, 3, 10, 6],\n [6, 5, 7, 3, -5, -12, 4, -1],\n [8, -2, -8, -1, 4, -7, -12, -8],\n [12, 1, -8, 9, 11, -12, 5, 3],\n [-4, 6, 9, -8, -11, 2, -6, -9],\n [-12, 0, 7, 9, -6, 2, 10, 1],\n [10, 6, 9, 11, 7, 11, 5, -3... | 76727935787 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, 12, -5, -3, 4, -11, -7, -8],\n [-4, -8, 5, 7, -4, 4, 4, -1],\n [-6, -10, -3, -11, 12, -10, 3, -11],\n [11, -3, -7, 9, -2, 10, -6, 2],\n [-7, 7, -4, 9, 7, -1, 6, 7],\n [-10, 2, -11, 8, -11, 9, -10, -7],\n [2, -3, -4, -12, 3, -7, -4,... | -43920938 | MATH |
[
{
"content": "Find the value at position (3, 7) of the 6th power of the matrix:\n[[9, 6, 3, 8, 11, 9, -9, -11],\n [12, 0, -12, 4, 0, -9, -6, 4],\n [-4, -9, 6, -12, -3, -9, -4, 0],\n [1, -3, -7, 3, -7, 4, -3, 5],\n [9, 5, -10, 7, 8, 12, 2, 2],\n [-9, -4, 6, 11, 4, -2, 12, -4],\n [-3, 5, 7, 0, -5, -6, 4, 8],\n [1... | -9665694 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -11, -5, -2, 5, -10, -12],\n [-2, 3, 5, 3, 10, -3, 5, -7],\n [6, -9, 0, 11, 1, -10, -3, -7],\n [-12, 10, 11, 1, -5, 6, 1, -3],\n [4, -4, -7, -2, 12, -6, 4, -12],\n [9, -8, -4, 5, 11, 8, ... | 2791364480 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^5 where A is:\n[[-2, 5, 7, -4, -4, 0, 6, -1],\n [5, -7, -2, 7, -6, 2, -5, 2],\n [7, -2, 4, 2, 10, 2, -1, -8],\n [-4, 7, 2, 6, -6, 0, -6, -3],\n [-4, -6, 10, -6, 10, 6, 1, 4],\n [0, 2, 2, 0, 6, 10, -2, -10],\n [6, -5, -1, -6, 1, -2, -12, -1],\n [... | 810235 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 7th power of the matrix:\n[[-4, 6, -4, 4, 10, 0, 0, 10],\n [6, -10, 6, 2, 2, 2, -7, 2],\n [-4, 6, 7, 5, -4, 8, 5, 1],\n [4, 2, 5, -11, -2, -8, 0, 0],\n [10, 2, -4, -2, -2, -7, 8, 2],\n [0, 2, 8, -8, -7, -4, 2, -7],\n [0, -7, 5, 0, 8, 2, 9, -5],\n [10, 2, 1,... | 652104940 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-10, -3, -5, 2, -3, -12, 5, -11],\n [6, 0, 9, -12, -11, 3, 2, 0],\n [3, 4, 8, -6, 11, 4, -6, 0],\n [-8, 4, -10, -6, 4, -6, 8, -12],\n [4, 4, -2, 12, -10, 2, 8, -2],\n [3, 12, 9, -4, 11, 11, -12, 12],\n [9, 3, -4, 6, -1, 6, 9, -4],\n [-... | 23973937 | MATH |
[
{
"content": "Find the value at position (4, 5) of the 6th power of the matrix:\n[[-10, 0, 2, -5, 9, -4, 4, 3],\n [0, -11, -7, 4, -8, -2, 2, 3],\n [2, -7, 2, 4, 10, 1, 6, 6],\n [-5, 4, 4, 9, 2, -2, -6, -3],\n [9, -8, 10, 2, -5, 7, -7, -2],\n [-4, -2, 1, -2, 7, -4, -8, 2],\n [4, 2, 6, -6, -7, -8, -8, 4],\n [3, 3... | -5405094 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, -4, -7, 4, 3, 10, -10, 8],\n [-9, -3, -8, 8, 9, -3, -1, -3],\n [0, -2, 9, 3, -5, -5, 12, -5],\n [0, -11, -1, -3, -1, -2, 2, 3],\n [4, -11, 5, -1, 6, 10, 5, 4],\n [-7, 12, 2, -10, -7, -10, -12, 0],\n [8, 1, 0, -9, -6, 9, -3, -6],\n [8, 2, 2, -9, 10, 10, -7,... | -44301274 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[7, -8, 7, -1, -12, -5, -12, -8],\n [9, -7, 8, -10, 2, -8, 11, 1],\n [5, 3, -7, 12, 11, 1, 11, -5],\n [-6, -5, 0, -7, 5, -11, -5, -2],\n [-12, 9, -7, 3, 7, -1, -2, -3],\n [-10, 0, -10, 2, 3, 0, 4, -10],\n [7, -2, 8, ... | 38170764 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[10, 0, -2, -4, -2, 2, 1, 2],\n [0, 6, 12, -10, -2, -2, -6, 3],\n [-2, 12, 7, 6, 8, 4, 10, -2],\n [-4, -10, 6, -8, -2, 6, 4, 4],\n [-2, -2, 8, -2, -3, 8, -8, 9],\n [2, -2, 4, 6, 8, 9, 8, 0],\n [1, -6, 10, 4, -8, 8... | 24138089 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-12, 2, -5, -1, 9, 9, 5, 2],\n [4, 1, 1, 5, 7, 5, 3, -12],\n [10, -2, 2, -1, -5, 9, 7, -7],\n [-10, 11, 0, 0, -11, -8, 4, -7],\n [-11, -9, 9, -2, -5, -1, -5, -2],\n [9, 7, -5, -5, 4, 7, 7, 10],\n [3, 1, -2, -6, 3, 0... | 478759461 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-8, -3, 4, 2, 10, 12, -5, 2],\n [8, 1, 7, -6, 8, 10, -1, 4],\n [4, -3, 6, 1, -2, -11, 5, -6],\n [-1, -11, 7, 5, -7, 11, -3, 7],\n [2, -8, 7, -10, -8, 12, -5, -5],\n [-5, -1, 11, 10, -5, -2, 1, -5],\n [11, -3, -6, 4, -9, 0, -9, -8],\n [9, -9, 5, -7, 11, 11, 10,... | 880838525 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-11, 6, 4, -2, -6, -4, 0, -8],\n [6, 11, -6, 4, 4, 7, 0, -4],\n [4, -6, 12, 5, 0, 2, 5, -3],\n [-2, 4, 5, 12, 0, 0, 2, 1],\n [-6, 4, 0, 0, 2, 4, 2, 2],\n [-4, 7, 2, 0, 4, 8, 6, -3],\n [0, 0, 5, 2, 2, 6, -6, 2],\n [-8, -4, -3, 1, 2, -3... | 12943165 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 0, 0, 4, 4, -8, -7, 6],\n [0, 12, 1, 9, -9, -6, -5, 12],\n [0, -7, -7, 11, 8, -10, -10, 0],\n [9, -11, 3, 9, -7, -5, 10, -5],\n [12, -7, 1, -10, -3, -10, -1, 4],\n [-8, 7, 12, -4, 8, 7, -6,... | 30395248722 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[4, 11, -5, 5, 0, 10, 1, -5],\n [-5, 2, 0, -6, -8, 4, 12, 3],\n [10, -11, 9, 5, 4, -6, 0, 5],\n [1, 5, 0, -2, 8, 8, 3, 10],\n [4, -5, 6, 7, 2, -4, 7, -3],\n [-1, 8, 10, 7, -12, 12, 7, -4],\n [9, 2, -12, -1, -10, -2, ... | 12799631990 | MATH |
[
{
"content": "Find the value at position (2, 7) of the 6th power of the matrix:\n[[-5, -4, 4, -3, 4, 0, -6, 3],\n [-4, -6, 4, 6, -4, 0, 7, 1],\n [4, 4, -7, 2, 6, 0, 0, 2],\n [-3, 6, 2, -4, 5, 0, -2, -3],\n [4, -4, 6, 5, -11, -6, 8, -8],\n [0, 0, 0, 0, -6, -11, -2, 10],\n [-6, 7, 0, -2, 8, -2, -2, -4],\n [3, 1, ... | -40007303 | MATH |
[
{
"content": "Find the value at position (7, 1) of the 5th power of the matrix:\n[[-10, -2, -6, 10, -8, -6, 6, 6],\n [-2, -12, -1, -2, 4, -4, 2, -9],\n [-6, -1, -4, 1, 5, 7, 0, 10],\n [10, -2, 1, 12, -8, -3, 0, 6],\n [-8, 4, 5, -8, -3, 4, 0, 10],\n [-6, -4, 7, -3, 4, -10, 2, 0],\n [6, 2, 0, 0, 0, 2, 7, -6],\n [... | 1298230 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[12, -1, -4, 6, 10, 2, 2, 2],\n [-1, 8, -6, 2, -8, 7, 4, 5],\n [-4, -6, 12, 6, 10, 10, 1, -9],\n [6, 2, 6, -1, -2, 7, -8, -4],\n [10, -8, 10, -2, 10, -8, 3, 0],\n [2, 7, 10, 7, -8, 10, -1, -1],\n [2, 4, 1, -8, 3, -1, -7, -5],\n [2, 5, ... | 903392588 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 2, 5, -4, 0, -2, -8, 6],\n [2, 2, -1, 10, 4, 8, 0, -2],\n [5, -1, -5, -6, 2, -10, -6, 12],\n [-4, 10, -6, 8, -2, 4, 6, -8],\n [0, 4, 2, -2, 2, 4, 0, 1],\n [-2, 8, -10, 4, 4, 1, 1, -8],\n [-8, 0, -6, 6, 0, 1, 9, 4],\n [6, -2, 12, -... | 5530432931 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[10, 8, -8, -4, -4, -2, -2, -9],\n [8, 5, -5, 4, 4, -4, -4, -5],\n [-8, -5, 10, -4, 8, -1, -2, 4],\n [-4, 4, -4, 6, 6, -8, -4, -1],\n [-4, 4, 8, 6, -6, 0, 4, 0],\n [-2, -4, -1, -8, 0, -8, -3, 2],\n [-2, -4, -2, -4, 4... | 70395309077 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-6, -3, -3, -6, -4, 2, -5, 0],\n [-3, -3, 2, -2, -2, 0, -8, -2],\n [-3, 2, 8, 2, -4, 4, 2, 10],\n [-6, -2, 2, 1, -3, -10, 3, -10],\n [-4, -2, -4, -3, -4, -6, 2, 7],\n [2, 0, 4, -10, -6, -2, -5, 6],\n [-5, -8, 2, 3, 2... | 44571049790 | MATH |
[
{
"content": "What is the value at position (7, 3) of the matrix A^6 where A is:\n[[-2, 0, -3, -10, -4, -1, 10, 1],\n [-12, 5, 4, -4, -4, 10, -3, 6],\n [2, -8, 2, 7, 10, 12, -11, 0],\n [11, 3, 2, 12, -3, 1, -3, 12],\n [1, 10, -4, 12, 1, -10, 7, 3],\n [-11, -3, -10, -2, -2, 8, 8, 9],\n [0, -6, 10, 4, -11, -1, 12... | 26974611 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[8, 3, -2, 6, -4, 0, 2, 5],\n [3, -3, -3, -1, -3, -2, 0, -10],\n [-2, -3, -6, 3, 0, -1, -2, 4],\n [6, -1, 3, 4, 10, -8, 4, 1],\n [-4, -3, 0, 10, 2, 0, 0, 8],\n [0, -2, -1, -8, 0, 7, -1, 1],\n [2, 0, -2, 4, 0, -1, 0, -5],\n [5, -10, 4, ... | 693702567 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-11, 8, 5, -1, -8, 9, -8, 4],\n [8, 10, -2, -4, 2, 0, -9, -1],\n [5, -2, 2, -1, 0, -4, 6, 6],\n [-1, -4, -1, 2, -3, 0, 2, -4],\n [-8, 2, 0, -3, 7, 5, -6, -10],\n [9, 0, -4, 0, 5, -3, 4, -7],\n [-8, -9, 6, 2, -6, 4, ... | 155423904 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[3, 0, 2, -8, 6, 1, 2, -8],\n [0, 10, -2, -6, -4, 6, 8, 4],\n [2, -2, -2, 0, 0, -2, -3, -4],\n [-8, -6, 0, -9, 0, 5, -2, -2],\n [6, -4, 0, 0, -10, 1, -8, -6],\n [1, 6, -2, 5, 1, -11, -2, 8],\n [2, 8, -3, -2, -8, -2, 0... | 1575967808 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 12, 10, -2, -2, -2, 7, -10],\n [12, -11, -6, 3, -6, -4, -6, 4],\n [10, -6, 3, 8, 0, -3, -10, 9],\n [-2, 3, 8, -11, 3, 6, -6, -5],\n [-2, -6, 0, 3, 11, 4, -6, 0],\n [-2, -4, -3, 6, 4, -11, 4, 0],\n [7, -6, -10,... | -11427783176 | MATH |
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