messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^5 where A =\n[[3, -4, 2, -8, 4, -2, -2, 1],\n [-4, -8, 0, 2, 2, 4, -6, 4],\n [2, 0, 3, 2, 1, -11, 8, 4],\n [-8, 2, 2, 5, 4, 1, -2, 0],\n [4, 2, 1, 4, -9, 4, 10, -2],\n [-2, 4, -11, 1, 4, 5, 2, 4],\n [-2, -6, 8, -2, 10, 2, -11, 0],\n [1, 4, 4, 0, -2, 4, 0, -12]], determine th... | -2871396 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 5, 0, -8, -10, -6, 3, -8],\n [5, 10, -4, -7, 8, 0, 1, -3],\n [0, -4, 7, -8, -3, 0, -5, 4],\n [-8, -7, -8, 7, 2, -6, -8, 2],\n [-10, 8, -3, 2, -4, 2, 2, 0],\n [-6, 0, 0, -6, 2, 3, 3, 0],\n [3, 1, -5, -8, 2, 3, 2, 2],\n [-8, -3, 4, 2, 0, 0, 2, 11]], determi... | -9081909881 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[4, -3, -6, -2, 6, 5, 0, -4],\n [-3, -2, 3, 1, 2, -1, 1, 3],\n [-6, 3, -5, 7, -6, 4, -4, 2],\n [-2, 1, 7, -12, -2, 4, -6, -3],\n [6, 2, -6, -2, 6, -2, -8, 2],\n [5, -1, 4, 4, -2, -9, 1, 8],\n [0, 1, -4, -6, -8, 1, -12... | 33174136377 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, -2, -4, 1, -3, 9, 9, -7],\n [-2, 8, 4, -2, -8, 0, -4, 1],\n [-4, 4, 2, -1, -2, -7, -4, 1],\n [1, -2, -1, -9, 4, 1, 3, -4],\n [-3, -8, -2, 4, -8, 2, 8, 7],\n [9, 0, -7, 1, 2, 9, 0, 0],\n [9, -4, -4, 3, 8, 0, -... | 1530039 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-12, 6, -6, -9, -1, 7, 10, 12],\n [5, -4, 6, 9, -9, -12, -4, 2],\n [9, -5, 2, 2, 5, -6, 9, 5],\n [3, -11, -9, 7, 3, -10, 11, 10],\n [-11, -10, 12, -8, -11, 6, 11, 7],\n [-11, -11, 9, 11, 10, 7, 5, 12],\n [7, 12, 8, 1... | 1503569265 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[2, -2, -7, 0, 6, -3, 11, 6],\n [-8, 12, 8, -6, -2, 1, 10, 8],\n [3, 5, 8, 10, 10, -9, -12, 9],\n [2, 1, 6, -8, -9, 0, 5, -1],\n [10, 8, 2, 10, -4, -9, -8, -4],\n [0, -3, 3, 0, -9, 8, 0, 8],\n [-5, 0, 2, 7, 7, 0, 10, -8],\n [9, 9, -7, ... | 10683779 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 5th power of the matrix:\n[[11, 7, 10, -5, -4, 8, 6, 7],\n [2, 9, -3, -2, -8, -4, -2, 6],\n [-11, -7, 10, 8, -12, -10, -10, 1],\n [7, 9, -8, 4, 2, -7, 1, 1],\n [12, 4, -5, -5, 6, -4, -2, 0],\n [0, 11, 6, 8, 6, -8, 3, -4],\n [7, 9, -10, 6, -8, -5, 1, 11],\n ... | -1633356 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^6 where A is:\n[[5, 12, -8, 5, 1, 6, 7, -1],\n [12, -12, 4, 4, 1, -6, -10, -8],\n [-8, 4, -4, 2, 2, 8, -2, -8],\n [5, 4, 2, 7, 1, -7, 4, -6],\n [1, 1, 2, 1, -5, 4, -10, 0],\n [6, -6, 8, -7, 4, 9, 2, 6],\n [7, -10, -2, 4, -10, 2, -4, 2],\n [-1, -... | 25039201 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-2, 0, 7, -9, -2, -1, -8, -3],\n [12, 11, -6, 8, -4, -4, -3, -3],\n [-11, -9, -5, 1, 4, 0, 8, 11],\n [5, 5, 0, -5, -1, 12, 10, 11],\n [8, -12, 7, 5, -10, -1, 6, 12],\n [0, -3, 2, 7, -11, 6, -10, 1],\n [-6, -5, -2, 9, 7, -7, -2, 4],\n [-3, 11, 4, 8, -11, -7, 12... | 95692672 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-9, -2, 0, -4, -9, 8, 3, -2],\n [-2, 8, -3, -6, -3, 7, -8, 2],\n [0, -3, 2, 5, -6, 6, 4, -2],\n [-4, -6, 5, 9, 0, -4, 8, -4],\n [-9, -3, -6, 0, 0, 2, -8, 4],\n [8, 7, 6, -4, 2, -5, -8, -3],\n [3, -8, 4, 8, -8, -8, 1... | 65940357590 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[6, 4, -1, 2, -1, 12, -4, -8],\n [-9, -1, 3, -4, 12, -10, 8, -10],\n [5, 4, -3, -11, 11, -2, 11, -10],\n [10, 10, -11, -4, 6, -11, 6, -11],\n [2, 11, 8, -10, -8, -2, 11, -6],\n [-7, 1, -12, 4, 4, 1, -3, -5],\n [-5, 1, -6, -7, -9, -12, 2, 12],\n [2, -12, 7, -10,... | -71470899 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, 0, 3, 2, 2, -4, -2, -6],\n [0, 6, 0, -9, 2, 8, 8, 5],\n [3, 0, -12, 2, -2, -2, 2, -6],\n [2, -9, 2, -7, 10, 4, 3, 6],\n [2, 2, -2, 10, 10, 0, 8, 9],\n [-4, 8, -2, 4, 0, 8, 6, -10],\n [-2, 8, 2, 3, 8, 6, -11, -6],\n [-6, 5, -6, 6, 9... | -3369784 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, -2, 10, -8, -4, -2, -5, -1],\n [-2, 12, -2, -2, 7, 4, 2, 1],\n [10, -2, 10, 8, -8, 10, -4, 4],\n [-8, -2, 8, 10, -4, 4, -4, -5],\n [-4, 7, -8, -4, 2, 6, 6, 0],\n [-2, 4, 10, 4, 6, 1, 6, 4],\n [-5, 2, -4, -4, 6, 6, 7, -4],\n [-1, 1, 4, -5, 0, 4, -4, -1]], de... | 3080860 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[7, -10, -10, 1, 5, 6, -3, 4],\n [2, 6, -4, -9, 2, 6, 3, -5],\n [4, 8, -12, -6, 8, 5, -1, 3],\n [-12, 2, -6, 4, -10, -2, -7, -7],\n [2, -6, -2, 4, 10, 5, 9, 11],\n [8, 6, -5, 11, 7, -5, 8, -2],\n [8, -10, 10, 1, -4, 12, -12, -12],\n [-1, -2, 8, -12, 7, -1, 4, 2... | -1995650 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 5, 3, -9, -5, -11, 1, 12],\n [2, -4, -11, 4, -3, -4, -11, 11],\n [6, 4, -2, 4, -3, 5, 10, -7],\n [3, 5, 7, 5, -12, -10, 2, 7],\n [-3, 8, -8, 2, 10, 1, 2, -3],\n [11, -4, -1, -6, -8, 12, 11... | 35309812 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-7, -4, 2, 4, 10, -4, 0, 1],\n [-4, 10, 3, 9, 2, 1, 1, 4],\n [2, 3, 11, -2, 6, 4, 2, 8],\n [4, 9, -2, 9, 6, 2, -6, -2],\n [10, 2, 6, 6, 12, -9, 4, 0],\n [-4, 1, 4, 2, -9, 0, 0, 2],\n [0, 1, 2, -6, 4, 0, -1, 6],\n [1, 4, 8, -2, 0, 2, 6,... | 33618727838 | MATH |
[
{
"content": "Find the value at position (8, 8) of the 5th power of the matrix:\n[[-4, 2, 3, 8, -5, 3, -8, 5],\n [7, 1, -11, 10, 10, -10, 1, -6],\n [2, 4, -12, -4, 9, 1, 3, 8],\n [0, -7, 9, -12, 8, 12, -9, -10],\n [4, -11, 6, 7, 10, 9, -5, 12],\n [2, -7, 10, 7, -11, 12, 12, 2],\n [7, -1, -10, -3, 1, 9, 1, -10],... | -7394706 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-9, 4, -4, -3, 3, 3, 0, 6],\n [4, -3, 7, 4, 6, -2, -7, 4],\n [-4, 7, -5, 2, 4, 6, 0, -8],\n [-3, 4, 2, -4, 2, 0, 2, -1],\n [3, 6, 4, 2, -3, 7, 3, -8],\n [3, -2, 6, 0, 7, -1, -4, -4],\n [0, -7, 0, 2, 3, -4, -7, -7],\n [6, 4, -8, -1, -8, -4, -7, 7]], determine t... | 872615795 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (1, 6) of the result:\nA =\n[[5, -8, -6, 4, 0, 4, 0, -8],\n [-8, -8, 0, -6, 1, 2, 8, -6],\n [-6, 0, 8, -2, -10, 4, 7, 6],\n [4, -6, -2, -6, 1, 2, -6, 2],\n [0, 1, -10, 1, -4, 8, 4, 0],\n [4, 2, 4, 2, 8, 4, 0, 9],\n [0, 8, 7, -6, 4, 0, -... | -26300040 | MATH |
[
{
"content": "What is the value at position (7, 5) of the matrix A^5 where A is:\n[[3, 1, -7, 5, -2, -10, 2, 0],\n [1, 1, 4, -6, -8, 0, 1, 0],\n [-7, 4, -5, 5, 0, -10, -2, -8],\n [5, -6, 5, 9, 7, 2, 2, -3],\n [-2, -8, 0, 7, -6, 6, -4, -3],\n [-10, 0, -10, 2, 6, -12, 0, -7],\n [2, 1, -2, 2, -4, 0, -5, 6],\n [0, ... | -462386 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, 4, -6, 7, 5, 2, 5, 11],\n [10, -1, 10, 8, -5, -11, -11, -8],\n [-12, 9, -9, -7, 10, 0, 6, -2],\n [0, -5, -6, 0, -12, -7, -6, 3],\n [2, 7, -11, 12, 10, 3, 4, 11],\n [2, -10, -9, -1, -8, 4, -7, -3],\n [9, 5, -3, -7, 11, -7, 7, 2],\n [... | -187485243 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (7, 3) of the result:\nA =\n[[4, 9, -4, -2, -1, -2, 2, 4],\n [9, -2, -5, 8, 8, 4, 9, 10],\n [-4, -5, 6, 3, -5, -8, 0, 2],\n [-2, 8, 3, 4, -6, 1, -10, 8],\n [-1, 8, -5, -6, 1, 0, 2, -4],\n [-2, 4, -8, 1, 0, -7, -11, 0],\n [2, 9, 0, -10, ... | 1689177 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-6, 6, 6, 6, -3, 4, -5, -4],\n [6, 12, -8, 0, 7, 2, -4, -1],\n [6, -8, 7, 2, 6, 2, -7, 0],\n [6, 0, 2, -5, -8, 2, -3, 0],\n [-3, 7, 6, -8, -9, 2, -8, -4],\n [4, 2, 2, 2, 2, 8, 0, 2],\n [-5, -4, -7, -3, -8, 0, 4, 2],... | 18841432437 | MATH |
[
{
"content": "What is the value at position (2, 7) of the matrix A^7 where A is:\n[[4, -11, -5, -8, -6, 9, 3, 3],\n [4, 9, -6, 7, -5, -5, 10, -2],\n [2, 5, -7, 9, -1, 2, 10, -7],\n [5, 11, 7, -4, -5, 1, 6, 6],\n [-5, -11, 12, -9, -7, -10, -10, 6],\n [-2, -3, -1, 1, 5, 11, -4, 2],\n [11, -10, 10, -2, -3, 5, -9, ... | 734216825 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[0, 1, -5, 3, 0, 11, 2, 6],\n [-12, 9, -11, 5, 6, -5, -10, 10],\n [1, -4, -5, 4, 10, 10, 11, 3],\n [-3, 8, -3, 12, 12, 11, -7, 9],\n [4, 3, 2, 9, 1, -9, -9, -11],\n [-2, -9, 8, 8, 3, 8, -9, -12],\n [11, 6, -11, -4, 10... | 1904168150 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-3, -10, -7, -10, -4, -10, 5, -5],\n [9, -5, 2, 0, -6, 6, -5, -3],\n [4, -12, 0, 0, 11, 3, -4, -3],\n [-7, -8, -11, -2, -4, -7, -5, -4],\n [-4, -5, -1, -5, -10, 0, 6, -11],\n [4, 3, -9, 5, 1, -11, 0, 8],\n [7, 4, 2, ... | 1265628624 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-9, 0, 11, 3, -7, -5, 3, 0],\n [10, -9, -11, -4, 5, 4, -5, 2],\n [-4, 4, 10, -11, -7, -8, 4, -11],\n [5, -3, -3, -7, -1, 4, 0, 7],\n [3, -3, 8, -11, -11, 10, -6, -7],\n [-12, -1, 0, -1, 6, -4, -3, 4],\n [5, -5, -... | -1731399 | MATH |
[
{
"content": "Find the value at position (1, 6) of the 5th power of the matrix:\n[[4, -8, 2, -1, 2, 0, -2, 3],\n [-8, -8, -2, -10, -2, -2, -4, -7],\n [2, -2, -8, -8, 4, 4, -2, -4],\n [-1, -10, -8, -9, 3, 2, 1, 6],\n [2, -2, 4, 3, 12, 2, 9, -6],\n [0, -2, 4, 2, 2, 8, 2, -2],\n [-2, -4, -2, 1, 9, 2, 0, 0],\n [3, ... | 205468 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[8, 0, 0, -3, 1, 3, 6, -2],\n [0, -2, -2, -4, -3, -3, -8, 8],\n [0, -2, 7, -5, -3, 4, 6, -2],\n [-3, -4, -5, 1, 6, -2, 2, -2],\n [1, -3, -3, 6, -9, 4, -11, 1],\n [3, -3, 4, -2, 4, 11, -11, -1],\n [6, -8, 6, 2, -11, -11, 1, -1],\n [-2, 8... | -3516751 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 6, 9, 6, -4, -6, 1],\n [-8, 5, -4, 8, -6, -4, -9, 12],\n [4, -1, -7, 5, -5, 8, 2, -10],\n [-11, 11, 10, -4, -5, -9, -11, 1],\n [-11, -11, 9, -6, -1, -7, 5, -9],\n [6, 0, 7, 8, 10, 12, -1... | 35620200245 | MATH |
[
{
"content": "What is the value at position (4, 8) of the matrix A^6 where A is:\n[[6, -4, -3, 0, -2, 0, 4, 4],\n [-4, -8, 4, 8, 0, 2, 2, 4],\n [-3, 4, 12, -4, -2, 6, -2, 8],\n [0, 8, -4, 7, -10, 0, 11, -9],\n [-2, 0, -2, -10, 11, 1, 6, 4],\n [0, 2, 6, 0, 1, -8, 0, 6],\n [4, 2, -2, 11, 6, 0, 9, 1],\n [4, 4, 8, ... | -199454503 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[7, -4, 0, 0, 3, -3, 4, 5],\n [-4, 3, 8, 2, -4, -7, -2, 0],\n [0, 8, 11, -4, 6, -2, 0, -4],\n [0, 2, -4, -12, 0, -1, -8, -1],\n [3, -4, 6, 0, -1, -8, -3, 5],\n [-3, -7, -2, -1, -8, -2, -8, 0],\n [4, -2, 0, -8, -3, -8, 12, -8],\n [5, 0, -4, -1, 5, 0, -8, -11]], ... | 58017 | MATH |
[
{
"content": "What is the value at position (8, 8) of the matrix A^6 where A is:\n[[-10, -4, 3, 11, 0, 6, 5, 8],\n [-1, -1, -12, 7, -5, 4, 8, 7],\n [9, -6, -4, 4, -3, -9, 9, -6],\n [-6, -5, 11, 11, -5, 3, -1, 2],\n [-5, 9, -4, -10, 9, 8, 3, 2],\n [11, -9, 7, 3, -3, -2, -8, -2],\n [0, 2, -7, 3, 2, -2, 7, -11],\n... | -15878150 | MATH |
[
{
"content": "Find the value at position (7, 3) of the 7th power of the matrix:\n[[3, -8, -2, 7, -2, 2, 1, 11],\n [-8, 11, -3, 3, -6, -2, -1, 6],\n [-2, -3, 1, -6, -1, -4, 2, -4],\n [7, 3, -6, -5, 6, 4, -3, -6],\n [-2, -6, -1, 6, 5, -6, 0, 2],\n [2, -2, -4, 4, -6, -2, 4, 0],\n [1, -1, 2, -3, 0, 4, 10, 0],\n [11... | -111340 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[2, 1, 1, -3, -11, -7, 4, -8],\n [-8, 2, 2, 7, -2, -8, -12, -2],\n [-2, -7, 10, -5, -11, 2, 10, 9],\n [-4, 2, -5, 3, 1, 2, 7, 0],\n [-4, -12, -7, -5, 7, 5, 5, 4],\n [8, 3, 0, 9, -9, -9, 8, 1],\n [-8, 3, 1, 1, 1, 12, 11, 12],\n [1, 6, -10, 4, 1, -3, 0, 9]], dete... | -166295263 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 4, 4, -4, 0, -8, -4, -10],\n [4, -8, 0, -3, 0, -8, -4, -1],\n [4, 0, 0, 2, 0, 4, -10, 0],\n [-4, -3, 2, -12, -4, 8, -2, -2],\n [0, 0, 0, -4, 2, 0, 2, 4],\n [-8, -8, 4, 8, 0, -3, -4, -10],\n [-4, -4, -10, -2, ... | -14120966823 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[0, -3, -1, 8, 8, 4, -4, -6],\n [-3, -7, -4, 8, 6, -3, 2, -2],\n [-1, -4, -12, 0, 6, 0, -6, -4],\n [8, 8, 0, -1, 6, -2, 6, -10],\n [8, 6, 6, 6, 5, 0, 8, -5],\n [4, -3, 0, -2, 0, 12, 3, 6],\n [-4, 2, -6, 6, 8, 3, -2, 0],\n [-6, -2, -4, ... | 10933277 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 0, -4, 0, 6, 2, 4, 0],\n [0, -4, -10, 2, 10, -2, 8, 0],\n [-4, -10, 9, 7, 2, -3, 11, 2],\n [0, 2, 7, -12, -6, 2, 2, 11],\n [6, 10, 2, -6, -1, -9, -2, 0],\n [2, -2, -3, 2, -9, -5, 0, -4],\n [4, 8, 11, 2, -2, 0, 10, 2],\n [0, 0, 2, 11, 0, -4, 2, -12]], determ... | 6593394031 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-5, -10, -11, -9, 6, -2, -8, 11],\n [-3, 11, 10, -5, 0, -8, -1, 0],\n [9, -5, 2, 0, -12, 9, -7, -2],\n [0, 8, 7, -12, -2, -2, -5, 9],\n [-10, 6, -1, -7, 10, -5, -8, -3],\n [9, 3, -1, 4, -7, -4, -3, 7],\n [1, 1, 4, 1... | 49124673 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-1, 5, -8, 11, -5, -10, -11, 12],\n [6, -5, -11, 6, -12, 9, 0, 10],\n [7, 4, -10, -4, -8, -7, -9, 4],\n [8, 8, 8, 3, 3, 9, -2, -11],\n [4, 2, 5, -3, -7, 8, 3, -8],\n [-1, -7, 1, 10, 3, 12, -6, -11],\n [-7, -4, -6, -11, 6, -5, -2, 12],\n [-9, 3, 12, 5, 0, -8, -... | 141899851 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 2, 0, 8, -2, -4, 0, -2],\n [2, -6, 1, 0, 5, -5, 1, -8],\n [0, 1, -12, 4, 2, 0, 1, 7],\n [8, 0, 4, 10, -7, -4, 2, 12],\n [-2, 5, 2, -7, -3, -10, 6, 7],\n [-4, -5, 0, -4, -10, 9, -4, -3],\n ... | 120484828 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[10, 0, 1, 2, 2, 1, -4, -3],\n [0, 0, -10, 8, 2, 4, 6, -8],\n [1, -10, -9, -9, 2, 4, -1, -6],\n [2, 8, -9, 5, 11, -8, -7, 4],\n [2, 2, 2, 11, -1, -8, 0, 7],\n [1, 4, 4, -8, -8, -4, 4, -2],\n [-4, 6, -1, -7, 0, 4, -11, -1],\n [-3, -8, -... | 5664603 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 7th power of the matrix:\n[[1, 4, -10, -12, -3, -10, -8, 12],\n [6, -3, 12, 3, -12, -7, -4, -8],\n [1, -3, -11, -8, -12, 12, -3, 12],\n [9, -4, -10, 2, -9, 0, -7, 7],\n [4, 10, -8, 2, -5, 12, -8, 11],\n [0, -12, -12, -6, 9, -8, 1, 2],\n [8, 12, 4, 11, 5, -6... | -793957720 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-4, 10, -12, 9, -5, 8, -1, -11],\n [2, 8, 11, 5, 4, 2, 7, 7],\n [-4, -10, 7, 6, 5, 7, -5, -12],\n [11, 11, 2, 6, -3, -1, -7, 0],\n [-9, 0, 4, -12, -8, 11, 4, 5],\n [-6, 3, -5, -1, 1, 6, -2, -1],\n [0, -5, -12, -4, -1... | 757667032 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (1, 2) of the result:\nA =\n[[10, 0, 7, -11, 4, -1, 5, 5],\n [0, -2, 7, -6, 1, 0, -6, 8],\n [7, 7, 0, 6, -4, 4, -9, -10],\n [-11, -6, 6, -10, -7, 3, 1, -10],\n [4, 1, -4, -7, 12, 6, 6, -8],\n [-1, 0, 4, 3, 6, 4, 2, -4],\n [5, -6, -9, 1,... | 31719621 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, -1, -3, -9, 4, 9, -2, 6],\n [-1, 11, 3, 4, 5, 4, -2, 6],\n [-3, 3, -9, 2, 0, -1, 6, 9],\n [-9, 4, 2, 4, 6, 7, 0, -2],\n [4, 5, 0, 6, -11, 8, -3, 4],\n [9, 4, -1, 7, 8, -8, 4, 2],\n [-2, -2, 6, 0, -3, 4, -1, 7],\n [6, 6, 9, -2, 4, 2, 7, 10]], determine the ... | 43597698 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[7, -9, -2, -5, -7, 12, -3, -6],\n [-6, -9, -10, 11, -6, -9, 0, 7],\n [4, -6, 4, -9, -2, -10, -2, -10],\n [-1, -12, -9, 1, -12, 1, 0, 0],\n [11, 2, 4, -1, 9, 10, 1, -1],\n [5, -9, 1, 6, 0, 12, 10, 5],\n [-2, -7, -4, -1, 6, 1, 2, -2],\n... | 238157458 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 4, 10, -10, 1, -6, 12, 6],\n [-10, -11, 4, -4, 9, -7, 11, 8],\n [-4, -8, -11, 9, 2, -4, 6, -3],\n [-9, -3, -5, 9, 0, -6, -6, -9],\n [2, -1, 3, -7, -4, -10, -5, -6],\n [-9, 0, 6, -6, -3, 12, -1, -10],\n [12, 11, -1, 6, 2, -5, -1, 7],\n [-7, -3, -11, 11, 0, 1... | -1153214 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[10, 0, -2, -6, -4, 4, 4, -1],\n [0, -6, -3, 8, 0, 6, 2, -4],\n [-2, -3, -12, -8, 4, 2, 6, -4],\n [-6, 8, -8, 4, 1, 2, -3, -1],\n [-4, 0, 4, 1, -11, -6, 6, 4],\n [4, 6, 2, 2, -6, -10, 8, 8],\n [4, 2, 6, -3, 6, 8, 3, 2],\n [-1, -4, -4, -1, 4, 8, 2, 9]], determin... | 1332067 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^7 where A is:\n[[12, 9, 5, 3, -11, 2, 0, 0],\n [3, -5, -2, -5, 9, -3, 10, -12],\n [-1, -4, -8, -4, 3, 5, -5, 10],\n [-2, 7, 6, -9, 7, -3, 11, 0],\n [7, 1, 8, -11, -9, -6, 6, 4],\n [3, 0, 11, 11, 9, 10, 5, 8],\n [-1, 10, 12, -12, 2, -10, -7, 1],\... | -660841634 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, 9, 6, -1, 7, 10, -7, -6],\n [9, -3, 4, 8, -2, -4, 6, -1],\n [6, 4, 5, -9, -1, 10, -5, -1],\n [-1, 8, -9, -10, -5, 6, -4, -2],\n [7, -2, -1, -5, 4, -4, -8, -5],\n [10, -4, 10, 6, -4, 8, 5, -2],\n [-7, 6, -5, -4, -8, 5, -11, 6],\n [-6, -1, -1, -2, -5, -2, 6, ... | 4806235 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 6) of the result:\nA =\n[[-5, -6, -8, 2, -3, 11, 3, -4],\n [-6, -2, -4, 4, -4, -10, 9, -5],\n [6, 7, 3, -6, -6, 7, 12, 0],\n [-10, -1, 11, -5, 0, 7, 3, -6],\n [-9, -1, 4, -12, 4, -11, -7, -1],\n [-2, 8, -2, 5, -5, 12, -6, 1],\n [3, ... | -97926201 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -4, 12, 1, 2, 0, -3, 1],\n [8, 10, -1, 6, -7, -1, 11, 0],\n [-5, 3, -11, 9, -6, -1, -6, 6],\n [1, -4, 5, -2, 3, 6, -2, 5],\n [-2, 12, -9, 5, 6, 0, -9, -3],\n [9, -8, -10, 3, -5, 11, -6, 6],... | 952028787 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 8, 4, -6, -8, -5, 6, -2],\n [8, -8, 8, 4, -2, -5, 5, -4],\n [4, 8, -10, 0, 0, 2, -4, 0],\n [-6, 4, 0, 2, 0, -5, 0, 5],\n [-8, -2, 0, 0, 10, 1, -6, -6],\n [-5, -5, 2, -5, 1, 1, -10, -1],\n [6... | 2159907039 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, 0, 6, -2, -2, -7, 5, 4],\n [0, -12, -5, -8, 2, 7, 1, -7],\n [6, -5, 4, 2, 1, -2, 6, 2],\n [-2, -8, 2, -12, 4, 0, 1, -4],\n [-2, 2, 1, 4, -8, 2, 4, -2],\n [-7, 7, -2, 0, 2, -10, -3, -1],\n [5, 1, 6, 1, 4, -3, 4, 0... | 55293748 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 3) of the result:\nA =\n[[-8, -4, 0, -8, 2, -6, 1, 3],\n [-7, -11, 3, 6, -8, -9, 1, -7],\n [-5, 11, -10, -9, -12, -11, 0, -4],\n [-1, -3, -3, 5, -1, 9, 3, 10],\n [-7, 11, 12, 11, 8, 11, -3, 2],\n [-4, 11, -11, 5, -1, -10, -6, -4],\n... | 85880896 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[0, 0, 6, -6, -6, 4, 2, 6],\n [0, 4, -2, 2, -6, 11, -3, 2],\n [6, -2, -2, -2, -8, -5, 4, -1],\n [-6, 2, -2, 7, 6, 9, -12, 3],\n [-6, -6, -8, 6, 12, -2, -2, 4],\n [4, 11, -5, 9, -2, 11, 5, -8],\n [2, -3, 4, -12, -2, 5,... | 96369360864 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[6, -4, -2, -2, -4, 2, -2, 10],\n [-4, -4, -4, 3, 10, 7, -4, 4],\n [-2, -4, 0, 2, 2, 4, 1, -3],\n [-2, 3, 2, 8, -2, 1, 3, -2],\n [-4, 10, 2, -2, -8, 2, -1, -4],\n [2, 7, 4, 1, 2, 10, 3, -3],\n [-2, -4, 1, 3, -1, 3, -1... | 13185815448 | MATH |
[
{
"content": "What is the value at position (8, 1) of the matrix A^5 where A is:\n[[10, -7, -3, -3, 3, -12, 3, -9],\n [-7, 6, -11, 5, -3, -9, -12, 2],\n [-3, 5, 3, 0, 2, -11, 7, -9],\n [-12, -6, 10, -2, -3, -12, -2, 11],\n [-3, 1, 1, -6, 10, -2, 9, -9],\n [11, -11, -6, 6, 1, 6, -6, -1],\n [-10, 2, -8, -5, 1, -9... | -267277 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-8, -12, -12, 12, 7, 4, -2, -1],\n [-10, -7, -2, 0, -2, -5, -3, -11],\n [11, 1, 3, 4, -2, -11, 11, 10],\n [-8, 3, 3, -11, 3, 12, -8, -5],\n [7, 1, 12, -3, 10, -11, -10, 5],\n [8, -11, 8, -4, -11, 12, -6, -6],\n [... | -4064100 | MATH |
[
{
"content": "What is the value at position (7, 8) of the matrix A^6 where A is:\n[[-9, -3, -2, 2, 1, 8, 9, 4],\n [-3, -5, -2, 0, 0, -1, -2, -6],\n [-2, -2, -7, 8, 6, -8, 11, 3],\n [2, 0, 8, 9, 4, 5, -10, -1],\n [1, 0, 6, 4, 3, -2, -4, -6],\n [8, -1, -8, 5, -2, -3, 0, -2],\n [9, -2, 11, -10, -4, 0, -9, 6],\n [4... | 2592931 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-10, -11, -12, -1, 9, 0, -3, 4],\n [-2, -8, 12, -4, 0, 7, 10, -2],\n [10, -9, 8, -2, -4, -6, 3, 10],\n [10, 12, -8, -7, 6, -12, 3, 5],\n [11, 0, -12, -3, -6, -8, 0, 9],\n [3, 11, 7, 9, 1, -2, 6, 10],\n [-11, -5, 0, -6, -1, -5, 3, 5],\... | 339792678 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[-9, 6, 6, 6, -2, 4, 1, -2],\n [6, 4, -2, -4, 8, 11, 2, -10],\n [6, -2, -2, -4, -6, 4, -9, 3],\n [6, -4, -4, 7, -2, 4, -2, -1],\n [-2, 8, -6, -2, -8, -1, -3, 2],\n [4, 11, 4, 4, -1, -4, -2, 6],\n [1, 2, -9, ... | -1324624 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[5, 0, -3, 7, 8, 2, -8, -3],\n [0, 10, 0, 8, 5, 12, 0, -7],\n [-3, 0, 7, 10, -4, -1, 6, -1],\n [7, 8, 10, 8, -5, -10, 4, -2],\n [8, 5, -4, -5, -10, 6, -6, -5],\n [2, 12, -1, -10, 6, 3, -1, -7],\n [-8, 0, 6, 4, -6, -1, 9, -3],\n [-3, -7, -1, -2, -5, -7, -3, -12]... | 3731601459 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-9, -6, 6, 9, 1, 4, 5, -9],\n [-6, 5, 8, -10, 2, -4, -2, 6],\n [6, 8, 12, -3, 4, 10, 8, 2],\n [9, -10, -3, -5, 6, 0, -3, 6],\n [1, 2, 4, 6, -2, 0, 2, 5],\n [4, -4, 10, 0, 0, 5, 8, -1],\n [5, -2, 8, -3, 2, 8, 10, -5],\n [-9, 6, 2, 6, 5, -1, -5, 4]], determine t... | 2229189944 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-8, 1, -6, 3, -4, -2, 12, -10],\n [1, 8, 4, -6, 0, -2, 5, 4],\n [-6, 4, 1, 0, -2, 0, 10, 0],\n [3, -6, 0, -8, 0, -4, 10, -7],\n [-4, 0, -2, 0, 7, -6, 1, 0],\n [-2, -2, 0, -4, -6, -8, 4, -8],\n [12, 5, 10, 10, 1, 4, -2, 1],\n [-10, 4, 0, -7, 0, -8, 1, -6]], det... | 6620228 | MATH |
[
{
"content": "What is the value at position (3, 5) of the matrix A^6 where A is:\n[[-5, -12, 12, -12, -10, -5, -2, -12],\n [1, -12, -7, 8, -7, -10, -3, -1],\n [-3, 9, -11, 11, 9, 0, 3, 0],\n [-9, -9, -2, 10, 1, -10, 6, 9],\n [12, -12, -8, 4, -12, 6, 6, -9],\n [6, -7, 2, -9, 11, -12, 11, 4],\n [-2, 4, 10, -12, -... | 70659314 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, -3, -9, -3, -2, -8, -4, -8],\n [-2, -10, -9, -3, -6, -12, -7, -5],\n [4, 11, -6, -12, -4, -2, 6, -11],\n [10, -2, -10, 4, -3, -10, 9, -10],\n [8, 12, -6, -11, -12, -6, 7, -2],\n [10, -7, 10, -9, 6, 8, 6, 1],\n [-... | 163463747 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-8, 6, 4, 11, 6, -10, -6, -5],\n [6, -12, -6, 0, -1, 0, 0, 4],\n [4, -6, 10, 0, 2, 0, 0, -4],\n [11, 0, 0, -4, 0, -1, 10, -6],\n [6, -1, 2, 0, 5, -7, 7, -4],\n [-10, 0, 0, -1, -7, 5, 6, 11],\n [-6, 0, 0, 10, 7, 6, -1, -9],\n [-5, 4, -4, -6, -4, 11, -9, 10]], d... | 23139864 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, -8, -1, 5, -10, -4, -6, -6],\n [-8, 9, -1, 0, -6, -3, 0, -11],\n [-1, -1, -8, -5, -6, 4, 2, 4],\n [5, 0, -5, -2, -8, 1, 6, 4],\n [-10, -6, -6, -8, -6, -12, -2, 7],\n [-4, -3, 4, 1, -12, -5, 2, -1],\n [-6, 0, 2, 6, -2, 2, 1, 5],\n [... | 1492872849 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-5, 2, 3, -4, 0, -7, 8, 2],\n [2, -4, 2, -4, 5, 6, 1, -2],\n [3, 2, -12, 2, -6, 11, 6, 8],\n [-4, -4, 2, 3, -2, -4, -2, -8],\n [0, 5, -6, -2, -9, -2, 4, 6],\n [-7, 6, 11, -4, -2, 11, 2, -5],\n [8, 1, 6, -2, 4, 2, -9, 8],\n [2, -2, 8, -8, 6, -5, 8, -11]], deter... | 4413274 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 7th power of the matrix:\n[[3, 2, 8, -8, 0, -4, 2, 0],\n [2, 2, 10, 6, 1, 7, 1, 0],\n [8, 10, -5, 2, -5, 8, -5, 0],\n [-8, 6, 2, -4, 4, 2, 0, -2],\n [0, 1, -5, 4, 7, -6, 8, 9],\n [-4, 7, 8, 2, -6, -3, 3, -6],\n [2, 1, -5, 0, 8, 3, 7, 4],\n [0, 0, 0, -2, 9, ... | 364186002 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[8, 4, 6, -6, 5, -2, -4, -2],\n [4, -4, -9, 4, -4, -10, 0, 6],\n [6, -9, -7, 0, -2, -4, 4, -2],\n [-6, 4, 0, 3, 6, 0, 4, 8],\n [5, -4, -2, 6, 10, 2, -10, 3],\n [-2, -10, -4, 0, 2, -4, -6, -2],\n [-4, 0, 4, 4, -10,... | -9491855 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, -10, 9, 2, -2, 9, -11, 12],\n [11, -7, 4, 5, -9, 10, -4, -3],\n [8, -11, -2, -2, -2, -12, 1, -12],\n [8, 10, 12, -4, 11, -12, 8, 9],\n [9, -9, -12, 6, -3, 2, 7, -9],\n [7, 1, -8, 2, 2, 12, 3, 3],\n [-9, 12, -4, -... | 54365142068 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, -10, -2, 1, -7, -4, -5, 2],\n [-10, 6, 8, -10, 6, 2, 4, 10],\n [-2, 8, -9, -4, 4, -6, 0, 8],\n [1, -10, -4, -7, 10, -6, -6, 4],\n [-7, 6, 4, 10, -12, 6, -7, -6],\n [-4, 2, -6, -6, 6, 12, 10, -2],\n [-5, 4, 0, -6, -7, 10, -9, -4],\n ... | 6976917191 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[6, 3, 0, -4, -5, 1, -10, 4],\n [3, -3, 4, 12, -7, -6, -8, -2],\n [0, 4, -3, 0, -4, 2, 8, 0],\n [-4, 12, 0, -5, -4, 2, -2, 0],\n [-5, -7, -4, -4, 6, 2, 0, -4],\n [1, -6, 2, 2, 2, 2, -4, 4],\n [-10, -8, 8, -2, 0, -4, -9, -6],\n [4, -2, 0, 0, -4, 4, -6, -7]], det... | 1382748957 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[4, -1, 9, -5, 3, -8, 8, -12],\n [4, 11, 8, -5, -3, 5, 2, 7],\n [0, -3, -4, 0, -10, 9, 10, -10],\n [-12, -11, -2, 1, -3, -6, 10, -12],\n [-6, 2, -2, -7, 9, -6, -6, -12],\n [-3, 8, 2, -5, 11, 6, -10, 10],\n [2, -9, -7, 12, -3, 5, 3, 5],... | 414587687 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (5, 4) of the result:\nA =\n[[-11, 0, 4, 7, -8, -6, -4, 0],\n [0, 4, 0, 1, 0, 8, -4, -6],\n [4, 0, -5, 2, 2, -4, 0, 9],\n [7, 1, 2, 7, 2, 6, 2, -3],\n [-8, 0, 2, 2, -4, -7, 7, -11],\n [-6, 8, -4, 6, -7, -5, 0, 2],\n [-4, -4, 0, 2, 7, 0,... | -18729026 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[10, 12, 2, 0, 3, 10, 5, -12],\n [4, 3, 10, -8, 7, 8, -3, -7],\n [-1, -3, 9, 4, -11, 6, 7, -7],\n [0, -4, -1, 5, -5, 12, 5, 12],\n [10, 12, 9, -11, -5, -3, -4, 11],\n [5, -5, 6, -10, -4, 0, -4, 12],\n [7, -1, 10, 0, -5, 2, 0, 8],\n [0, 4, 2, 12, 9, 6, -10, 1]],... | 576475535 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 0, -4, 4, 4, 3, 3, -5],\n [0, 9, 5, 1, 8, 8, 10, -2],\n [-4, 5, -2, 4, -3, 2, -6, 2],\n [4, 1, 4, -2, -7, -6, -4, 0],\n [4, 8, -3, -7, 4, -4, -2, 7],\n [3, 8, 2, -6, -4, -6, 4, 0],\n [3, 10, -6, -4, -2, 4, 3, -4],\n [-5, -2, 2, 0,... | 5695307096 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, 5, 6, 0, -1, -11, -6, -4],\n [5, -11, 2, 2, -6, 11, -5, -3],\n [6, 2, -12, -4, -6, 4, -6, 0],\n [0, 2, -4, -1, 6, -4, -4, -5],\n [-1, -6, -6, 6, 9, -3, -7, -2],\n [-11, 11, 4, -4, -3, 10, 6, -4],\n [-6, -5, -6, -4... | 61134687248 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-12, -10, -2, 0, 2, 6, 2, -8],\n [-10, 8, -11, 8, -10, 4, 2, 8],\n [-2, -11, -10, 2, 9, 6, 5, 0],\n [0, 8, 2, -2, -2, 4, 0, -6],\n [2, -10, 9, -2, 6, 4, 8, -5],\n [6, 4, 6, 4, 4, 5, 2, 2],\n [2, 2, 5, 0, 8, 2, -7, -5... | 131742274385 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, 6, 12, -9, -3, 5, -10, 8],\n [-10, -8, 3, 7, 0, -2, 0, 6],\n [-7, 11, 0, -9, 12, 9, -8, 6],\n [-8, 8, 1, -9, -1, -7, 6, -3],\n [-12, 10, 10, 3, -9, -4, 5, 4],\n [2, 6, -6, 12, 5, -7, 6, 8],\n [-1, 12, -10, -12, -8, -12, -5, -6],\n [2, -2, 5, 1, -4, -8, 10,... | 6031099 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -12, 11, 0, -12, -10, 9, -5],\n [11, 5, 12, 3, 7, 7, 3, -11],\n [4, -3, -6, -3, 6, 7, -4, 9],\n [4, -4, -4, -8, 11, -6, -2, -5],\n [12, 1, -11, -3, 8, 11, 3, 3],\n [6, -2, -7, -7, -6, 3, 0,... | 11853585499 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 8, 8, 0, 10, 0, -4, 2],\n [8, -11, 0, -2, -1, 4, 0, -10],\n [8, 0, -7, 1, 8, 2, 0, -4],\n [0, -2, 1, 2, 6, 4, -1, 0],\n [10, -1, 8, 6, -11, 10, 4, -1],\n [0, 4, 2, 4, 10, 12, -4, -4],\n [-4,... | 54615110485 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 2, 5, -2, 2, 5, 7, -10],\n [2, 1, -4, -9, -4, 2, -2, 4],\n [5, -4, 7, -6, -4, 8, -1, 10],\n [-2, -9, -6, 12, 4, -6, 4, 6],\n [2, -4, -4, 4, -9, 4, 2, 2],\n [5, 2, 8, -6, 4, 4, 1, -2],\n [7, -2, -1, 4, 2, 1, 1, 2],\n [-10, 4, 10, 6,... | 212397231 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 0, -4, -7, 4, -6, 9, -4],\n [0, 5, 0, -4, -4, -2, 2, 6],\n [-4, 0, -6, 12, -2, -10, 2, 7],\n [-7, -4, 12, 7, 10, 0, 2, -12],\n [4, -4, -2, 10, 4, -2, 0, 9],\n [-6, -2, -10, 0, -2, -1, 2, 8],\n [9, 2, 2, 2, 0,... | -1103548910 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-12, -3, 6, 3, 1, 12, -11, 11],\n [-7, 9, 10, -8, -1, -9, 9, 11],\n [-9, -8, -6, -7, 0, -9, 0, -9],\n [-3, 7, -12, 8, -5, -6, -8, -10],\n [2, 4, 10, 0, 2, 6, 7, 1],\n [8, 0, -1, 11, 10, -4, -10, -2],\n [-3, -12, 4, 0, 1, -12, -11, -11],\n [-6, -4, 11, -9, -11,... | 5717624 | MATH |
[
{
"content": "Find the value at position (6, 8) of the 6th power of the matrix:\n[[11, 0, -1, 6, -4, -3, 6, -3],\n [-1, 1, -5, 3, 4, 7, -9, -7],\n [-1, 5, -6, -8, -3, -7, 1, -7],\n [1, -1, 9, -1, -5, -3, 3, 7],\n [-5, -4, 0, 7, 4, 6, 4, -6],\n [-12, 7, 1, 4, 0, -11, 1, -12],\n [-8, -6, 6, 1, 11, 1, 2, -8],\n [-... | 17107181 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, -9, -5, 5, 7, 4, 3, 5],\n [-6, -12, -12, 5, -9, 10, 7, 8],\n [7, -9, 12, -7, -10, -7, 0, 10],\n [-6, 11, -9, -12, -7, 11, -8, 0],\n [6, -9, 11, -7, 0, -8, 0, 12],\n [-3, -10, 10, 12, 0, -1, -9, -3],\n [-10, 4, -4, -12, 5, -4, 8, 7],\n [12, -4, -11, 6, 3, -1... | 97485666 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, -8, 0, 2, 1, -9, -4, 6],\n [-8, -7, 4, -6, -5, 6, -4, 4],\n [0, 4, 8, -10, 10, 0, 8, 1],\n [2, -6, -10, 5, 6, -6, 0, -1],\n [1, -5, 10, 6, -8, 1, 1, -4],\n [-9, 6, 0, -6, 1, 7, -1, -7],\n [-4, -4, 8, 0, 1, -1, -7, -2],\n [6, 4, 1, -1, -4, -7, -2, -8]], dete... | 37784279060 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[10, 4, 4, 0, 9, -6, 9, 8],\n [-7, 1, 3, -10, -4, 2, 8, 5],\n [-3, -3, 10, -10, -12, -10, 12, -8],\n [-6, -10, -9, 4, -10, 10, -9, -11],\n [1, -8, 8, -11, 2, -2, 9, -3],\n [7, -12, 6, 1, 12, 10,... | 68856638 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 6th power of the matrix:\n[[5, 10, 0, -7, -5, 0, -4, -2],\n [10, 9, -4, 4, 8, -8, -1, 5],\n [0, -4, 4, -8, -2, -2, -9, 4],\n [-7, 4, -8, -11, 0, -2, -10, -6],\n [-5, 8, -2, 0, 2, 0, 2, 1],\n [0, -8, -2, -2, 0, 12, 6, 1],\n [-4, -1, -9, -10, 2, 6, 12, -3],\n... | -28590762 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 6th power of the matrix:\n[[-4, 12, -11, -10, -11, -7, 10, -1],\n [9, 6, 2, 6, -1, 5, 3, -11],\n [-2, -1, -8, 11, -7, 12, -2, 8],\n [-3, -9, -4, -1, -3, 1, -8, -12],\n [-8, 3, -8, -8, 5, -7, 8, 5],\n [-3, 2, 11, 9, -2, 6, 12, 0],\n [7, -10, 3, -6, -1, 2, -5... | -59099470 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[6, -9, 4, 0, 0, -6, 2, 4],\n [-9, 12, 5, 1, -2, 2, -4, 11],\n [4, 5, 12, 6, 2, -8, 6, 4],\n [0, 1, 6, -4, 8, -8, 4, -1],\n [0, -2, 2, 8, 4, 11, -5, -5],\n [-6, 2, -8, -8, 11, -12, 2, -7],\n [2, -4, 6, 4, -5, 2, -5, -1],\n [4, 11, 4, -... | 20509229 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^6 where A is:\n[[9, 5, -8, 5, -1, -9, 2, -2],\n [6, -8, -7, 0, 10, -3, 11, 12],\n [1, -9, 7, 10, -1, 2, -3, -2],\n [-4, -2, -11, 0, 9, -5, 8, 8],\n [-5, -12, -7, 0, -4, -7, 2, 10],\n [3, -9, 4, -4, -1, 9, 6, 7],\n [-1, 9, -7, -1, -4, 7, -8, 8],\... | 4153929 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^7 where A is:\n[[-4, 1, -8, -4, -9, -11, 6, -12],\n [8, -12, -1, -2, -12, 1, -2, -6],\n [-11, 2, -5, 9, 7, 12, 2, -5],\n [-3, 6, -10, 7, 1, -4, -4, 8],\n [12, -7, -5, -2, -5, -1, -3, 10],\n [-9, 3, 7, -7, -4, 10, -8, 8],\n [11, -7, 4, 4, 12, 11,... | 182580036 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 7th power of the matrix:\n[[-6, -9, 4, -7, -6, 7, -7, -4],\n [7, -9, -8, 6, -3, 5, 2, 12],\n [-12, -8, -8, -5, 9, 9, 9, 7],\n [2, 4, 6, 0, 9, 8, -3, 4],\n [-8, 5, 4, -9, 9, -6, 12, -8],\n [-5, -5, -2, -4, 6, 6, -4, 10],\n [7, 4, 3, -6, 9, -10, 8, 6],\n [-5,... | -67576487 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-7, -3, -10, 4, -8, 0, -4, 2],\n [-3, 0, -6, -4, -1, -6, 9, 10],\n [-10, -6, -11, -4, -4, 2, 0, -10],\n [4, -4, -4, -4, -2, 0, -6, 7],\n [-8, -1, -4, -2, -9, -4, -11, 4],\n [0, -6, 2, 0, -4, 6, 8, 0],\n [-4, 9, 0... | -39287097814 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, 8, 11, 8, 6, 12, 5, 6],\n [-9, -12, -9, -9, -4, -5, -11, 10],\n [-7, 10, -2, -9, 1, 8, 9, -4],\n [-11, 12, -12, -9, -1, -8, -4, 9],\n [-9, 3, -11, 3, 3, 8, 11, 11],\n [9, -2, -12, 2, 11, -9, 5, 4],\n [-6, 5, 0, 7, 7, -3, -12, -11],\n [4, 9, -10, 4, -1, 11, ... | -419356 | MATH |
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