messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
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[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 10, 12, -1, 11, -4, -5, 7],\n [3, -3, -6, 2, 12, -4, -9, 10],\n [-7, -1, 2, 6, 9, 11, -11, 6],\n [11, 7, 7, -11, 2, -1, -12, 10],\n [1, -9, 9, 11, -2, -6, 0, 1],\n [-6, 9, -2, 7, 7, 12, -2, ... | 69421118 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-11, 1, -6, 4, 2, 4, -4, 0],\n [-11, 2, 7, -2, 6, 1, -9, -2],\n [3, 10, -11, -11, -4, 9, 10, 8],\n [8, -9, -5, 10, 5, 2, -11, 9],\n [-2, 4, -6, -5, -3, 11, -10, 0],\n [10, 4, 0, 6, 9, -4, 8, 3],\n [-8, -4, -4, -7... | -5155002 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 5, 4, -10, -10, -6, -3, 12],\n [4, 2, -5, 4, -10, -9, -5, 0],\n [-12, 5, -2, 8, -7, 3, 8, 6],\n [10, 4, 5, -2, 1, -1, 12, 7],\n [11, 12, -6, 4, -8, 9, 1, 11],\n [0, 11, -1, 1, 12, -4, -9, 9],\n [6, -12, 0, -7, -12, 12, 9, 4],\n [-10, 4, -11, 9, -6, -12, 8, ... | 26727128 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[2, -10, 0, -2, -2, 0, 1, 4],\n [-10, -11, -6, 3, -2, -4, 8, 4],\n [0, -6, 7, -3, 2, -2, -6, 4],\n [-2, 3, -3, -1, 3, -5, -2, 0],\n [-2, -2, 2, 3, 7, 4, 2, 1],\n [0, -4, -2, -5, 4, 8, -2, -2],\n [1, 8, -6, -... | -168501290 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-12, 11, 8, 3, -3, -4, 5, -12],\n [-3, -6, -3, -1, -2, -4, -8, -9],\n [7, 0, -5, 3, -12, 4, 2, 11],\n [2, 5, -7, -11, -8, 6, -6, -4],\n [-11, -6, 11, 1, 11, 10, 2, -1],\n [7, -9, 0, -4, -1, -3, -4, 8],\n [10, -6, 12, -1, 3, 2, -6, -5],\n [-6, -2, -9, 5, 6, -6,... | -618813 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -6, 7, 3, 10, -8, -6, -7],\n [-11, -6, 8, -4, 0, 4, 4, 2],\n [5, 11, 2, -2, 12, -1, 10, 4],\n [-1, -6, 11, -6, 8, 10, -3, 3],\n [-2, 3, -11, 12, -11, 5, -8, 1],\n [-5, -7, -4, -7, 8, 4, -5, ... | 49045712 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[11, 9, 3, -9, 9, -7, 12, 3],\n [7, -7, 2, -12, -6, 10, -2, -12],\n [-5, 1, -8, 0, 2, -4, -5, 6],\n [4, 6, 5, 5, -9, -11, 11, -8],\n [4, 9, -6, 3, -12, -1, 6, -4],\n [3, -6, 2, -1, -9, -7, -7, 2],\n [-10, -11, -8, -5, 6, 8, 3, 6],\n [10... | 39464449 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, 4, 4, -8, 12, 0, 0, 1],\n [4, -1, 4, -4, -6, -3, 10, 4],\n [4, 4, -3, 8, -8, 0, -8, -2],\n [-8, -4, 8, 10, 11, -5, 4, 6],\n [12, -6, -8, 11, 9, -5, -10, 8],\n [0, -3, 0, -5, -5, 4, 5, -3],\n [0, 10, -8, 4, -10, 5, 4, -1],\n [1, 4, -2, 6, 8, -3, -1, -12]], ... | 156195889286 | MATH |
[
{
"content": "What is the value at position (7, 3) of the matrix A^6 where A is:\n[[12, 11, -3, 5, -3, -12, 0, -9],\n [12, -1, 11, 3, 6, -1, -7, 3],\n [-1, 12, 11, -3, -8, 12, 12, 6],\n [-1, -5, -9, -6, 11, 10, -8, -2],\n [4, 11, 8, -10, -11, 6, 12, -11],\n [1, -12, 3, 2, 5, -11, -2, 8],\n [4, 0, -1, 11, -11, 9... | -646969 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[11, 12, -10, 12, -5, -8, 9, -1],\n [-12, 8, 3, -1, 10, 4, -4, 0],\n [10, -9, -9, 2, -3, 10, -7, -10],\n [12, 2, -7, -2, -11, -11, -12, -2],\n [-8, -7, -10, 7, -8, 7, -4, 6],\n [-8, 10, -1, -1, 3, -6, 1, 9],\n [-4, 2... | 48648387 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-10, 5, 4, -4, 8, -2, 2, 6],\n [5, 1, -5, 2, -5, 0, -2, -5],\n [4, -5, 6, 0, 5, 4, 2, 0],\n [-4, 2, 0, -8, 2, -5, -6, 6],\n [8, -5, 5, 2, -3, 0, 0, 2],\n [-2, 0, 4, -5, 0, 11, -4, 4],\n [2, -2, 2, -6, 0, -4, 10, -3],\n [6, -5, 0, 6, 2,... | 3106524 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, -5, 10, 6, 9, 4, -1, -3],\n [-5, -10, 1, -6, -5, 1, 10, -8],\n [10, 1, 5, 3, 4, 6, -4, -2],\n [6, -6, 3, -1, 10, 0, -8, -4],\n [9, -5, 4, 10, -2, 2, 10, -2],\n [4, 1, 6, 0, 2, 5, -8, 5],\n [-1, 10, -4, -8, 10, -8, 4, -3],\n [-3, -8, -2, -4, -2, 5, -3, 8]], ... | 4319923334 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-10, 7, 5, -5, -11, -7, -6, -6],\n [0, -12, -5, 12, 10, 0, 11, 7],\n [11, 6, 4, 0, 3, 11, 2, -2],\n [-1, 9, 12, -10, 11, 12, -4, 1],\n [-6, -2, -3, -10, 6, -11, 4, -11],\n [8, 3, 4, -3, -9, -2, 4, 11],\n [-1, 8, -3, 3, -9, -10, -4, -7],\n [-1, -12, 1, 11, -3, ... | 80607794 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[10, 6, -9, -10, -7, -4, -3, -4],\n [4, -3, -7, 3, 4, -2, 7, -6],\n [-9, 12, -3, 8, 1, 12, 4, 1],\n [7, 10, 0, -11, -4, -10, -9, -1],\n [2, 7, -5, 5, -8, -11, 9, -4],\n [12, 1, -12, 7, -9, 4, -3, -11],\n [-7, 6, -4, 6, 6, -4, -10, -7],\... | -50887166 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[5, -12, 9, 9, 7, 0, -5, 8],\n [10, -4, -12, -4, 7, 10, -2, 7],\n [-9, 3, 1, 7, 9, 8, 5, 12],\n [9, 9, -4, -12, 10, -10, 7, -12],\n [-10, 1, 1, 10, 9, 0, -12, 2],\n [12, 7, -6, 3, 7, 10, 8, -12],\n [2, 7, 2, 6, -7, -7, -12, 3],\n [5, 0, -1, 5, -3, 1, 7, 12]], d... | -17871337 | MATH |
[
{
"content": "What is the value at position (6, 7) of the matrix A^7 where A is:\n[[-2, -4, 5, -4, 6, 10, -6, 0],\n [-4, -12, 2, 4, 8, -10, 0, -6],\n [5, 2, -5, 6, 12, -2, 0, -4],\n [-4, 4, 6, 10, 9, 9, 2, 6],\n [6, 8, 12, 9, 5, -4, 1, -4],\n [10, -10, -2, 9, -4, 6, 6, 0],\n [-6, 0, 0, 2, 1, 6, -9, -3],\n [0, -... | 561367967 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[1, 2, -2, -3, -3, 11, -7, 3],\n [8, -9, -4, -3, -8, -3, 3, -2],\n [-7, -6, -1, 0, 4, -4, -5, 3],\n [8, -10, -8, 8, 12, 10, 0, 5],\n [8, 3, 12, 1, -2, 5, -5, -1],\n [6, 7, -11, -4, 9, -4, 1, 2],\n [-2, 0, 11, 12, -8, ... | 26460615 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, -2, -2, -10, -5, -5, 12, 11],\n [8, 8, -10, 9, -3, 6, 1, 5],\n [10, -10, 7, 1, -2, -3, 11, 1],\n [-12, 3, 12, -7, 5, 3, 6, 3],\n [-8, -1, -7, 12, -11, 3, 8, 10],\n [-2, -1, -2, 10, 7, 6, -5, 5],\n [-8, -1, -3, 2, -8, 4, 10, -9],\n [-1, 5, -5, 7, 4, -5, 0, ... | 163825729 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-10, -10, -6, 8, 4, -2, 2, 0],\n [-10, -6, -4, -3, 0, 2, 2, 9],\n [-6, -4, 8, -1, -7, 4, -6, -2],\n [8, -3, -1, -1, 0, 2, -2, -6],\n [4, 0, -7, 0, 3, 0, 10, -3],\n [-2, 2, 4, 2, 0, -11, 0, 3],\n [2, 2, -6, -2, 10, 0, -12, 2],\n [0, 9, ... | -1971046644 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 5) of the result:\nA =\n[[-9, 5, -8, -2, 0, -10, 6, 7],\n [-2, -2, 8, -11, 9, 2, 9, -5],\n [-11, -5, 11, 7, 10, 2, 3, 0],\n [10, 4, 1, 1, -12, 11, -12, -10],\n [9, 11, 2, -8, -8, -9, 1, 7],\n [-6, 9, 11, 2, -2, 1, -7, -3],\n [-6, -3... | -1497488 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, -6, -12, -4, -9, 1, -4, -10],\n [2, -8, -12, -2, 6, -8, 9, 11],\n [4, 6, 4, -8, 11, 7, -4, 9],\n [-7, 8, 0, 8, -2, 10, 11, 10],\n [-12, 4, -7, -10, 3, 0, -1, 12],\n [-2, 10, -11, 6, -5, 0, 1, 2],\n [4, 2, 8, -3, ... | 11316839558 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-11, -11, -1, -8, -9, -6, 3, -10],\n [8, -11, 4, -4, 7, -5, -1, -6],\n [1, 3, -12, -3, -2, -6, 5, 6],\n [1, 4, 10, 6, 9, 0, 10, -10],\n [-11, 12, -4, -6, 1, -8, 7, 2],\n [7, -12, 7, -6, -8, 12, -9, -2],\n [6, -7, 7, 5, -8, 7, 2, 8],\n... | 3296840 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[11, 7, 4, -1, -2, -3, 0, 3],\n [7, -12, -2, 10, 0, -1, -1, 5],\n [4, -2, -2, 6, -8, 3, -4, -8],\n [-1, 10, 6, 12, 7, 3, 0, -5],\n [-2, 0, -8, 7, -2, 2, 0, 6],\n [-3, -1, 3, 3, 2, -8, -4, 2],\n [0, -1, -4, 0, 0, -4, 11, 6],\n [3, 5, -8... | 1192100170 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 0, -8, 2, -6, 5, 7, 10],\n [-11, -5, -3, -3, -2, 8, 8, -5],\n [3, 3, 4, -7, 5, 4, -1, 2],\n [-6, 1, -9, 4, -2, -7, -3, 2],\n [-7, 3, -1, 6, 3, 1, -7, -4],\n [9, -12, 9, -5, -6, 1, -5, -2],\n [11, -4, 6, -6, -7, 5, -8, 6],\n [-2, -8, 12, 11, 12, -4, 11, -5]]... | -881624058 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, -2, 4, -8, 0, 5, 7],\n [4, -4, -2, -2, 4, 4, 2, -6],\n [-2, -2, -2, 2, 12, 6, -6, -6],\n [4, -2, 2, -8, 8, 8, 9, -7],\n [-8, 4, 12, 8, 2, 7, -2, -2],\n [0, 4, 6, 8, 7, 4, 2, 4],\n [5, 2,... | 92848616 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-12, -3, -2, 7, -11, 10, -11, 10],\n [11, -2, -5, -10, -4, 3, 3, -3],\n [-7, 7, 11, 7, 7, -2, -5, 7],\n [-12, -7, -5, 1, -10, -11, 9, -12],\n [-2, 8, -7, -5, -6, -7, 5, -1],\n [-5, 11, 8, 6, 11, -8, 6, -4],\n [12, -1, 2, 10, 0, 11, 0, ... | 358308 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 1, -7, 3, -9, -6, 3, -9],\n [-6, 8, -11, 10, -5, -3, -11, -7],\n [-9, 8, -12, -7, -1, 1, 2, 11],\n [5, 4, -4, 2, 5, 11, 8, 5],\n [-8, 3, -4, 9, -10, -1, 11, 1],\n [-12, -4, -4, 7, 0, -5, -2... | 45347106896 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, 1, 4, -2, 0, -10, -2, 10],\n [1, 8, 10, -2, -2, -6, 1, 0],\n [4, 10, -2, 4, 6, -5, 3, -2],\n [-2, -2, 4, 6, 4, -2, 0, -8],\n [0, -2, 6, 4, 10, -6, -2, 5],\n [-10, -6, -5, -2, -6, 8, 2, -5],\n [-2, 1, 3, 0, -2, 2, 7, 0],\n [10, 0, -... | 15714295984 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-2, 1, 3, -4, 0, -6, 3, 10],\n [1, 4, -9, 2, 4, -8, -7, -7],\n [3, -9, -10, -3, 7, 4, 0, 8],\n [-4, 2, -3, -9, -4, 6, 6, -4],\n [0, 4, 7, -4, 9, 6, -2, -10],\n [-6, -8, 4, 6, 6, -9, -10, -4],\n [3, -7, 0, 6, -2, -10, -5, 8],\n [10, -7... | -5426703710 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[9, -11, -12, 12, 0, 10, -5, 9],\n [-4, 11, 7, 8, -11, 4, -7, -10],\n [7, 4, -7, -5, 1, -3, 7, -3],\n [2, -5, -2, 3, -10, 2, 0, -2],\n [1, -6, 6, 2, -7, 7, 9, -6],\n [11, 1, 9, -9, -4, -6, 12, 2],\n [-10, -8, 4, 11, -12, -12, 3, 10],\n ... | -625839 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 2, -12, -11, 6, 9, 4, 2],\n [11, 5, 8, -5, 8, 1, -5, 9],\n [10, -5, 6, 0, -8, -3, -6, -4],\n [1, -7, -3, -12, -2, -5, -7, 4],\n [-9, -7, 2, -3, 4, -3, -8, 6],\n [-6, 11, 6, -3, 6, -2, -10, ... | 25384764121 | MATH |
[
{
"content": "What is the value at position (7, 2) of the matrix A^7 where A is:\n[[0, -10, 1, -6, 0, -2, 6, -3],\n [-10, 1, 0, 0, 2, 8, -3, -10],\n [1, 0, -6, 3, 6, -6, 6, -2],\n [-6, 0, 3, 4, -6, 1, 4, 1],\n [0, 2, 6, -6, -12, -8, -6, 4],\n [-2, 8, -6, 1, -8, 4, -1, -3],\n [6, -3, 6, 4, -6, -1, 6, 4],\n [-3, ... | 4957286 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-8, 1, -5, 8, -10, 8, 8, 4],\n [1, 10, -8, -4, -4, 7, -6, 0],\n [-5, -8, -7, -6, -2, 0, -4, 0],\n [8, -4, -6, -4, 3, -2, -2, 0],\n [-10, -4, -2, 3, -12, 1, -4, -7],\n [8, 7, 0, -2, 1, 9, 4, 2],\n [8, -6, -4, -2, -4, 4, -2, -2],\n [4, 0... | 786303879 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[11, -8, -2, -8, -6, 0, 8, 6],\n [-8, 0, 6, -1, 2, -3, -4, 3],\n [-2, 6, 3, 0, 10, 7, 0, 6],\n [-8, -1, 0, 2, -9, -4, -8, -10],\n [-6, 2, 10, -9, 3, -2, 11, 4],\n [0, -3, 7, -4, -2, 1, 3, -6],\n [8, -4, 0, -8, 11, 3,... | 152873413693 | MATH |
[
{
"content": "Find the value at position (6, 4) of the 7th power of the matrix:\n[[-12, -5, 8, -3, 2, -11, 6, -1],\n [-3, -1, 8, 7, 12, -4, -5, -11],\n [8, 11, 11, -6, -9, 6, -5, 11],\n [0, 8, -10, -8, 7, -5, -11, 11],\n [-3, 9, 3, -9, 1, -10, -3, 0],\n [-8, 9, 4, 4, -2, 6, 5, 4],\n [-2, 2, -5, -1, 4, 11, -8, -... | 593798934 | MATH |
[
{
"content": "Find the value at position (5, 3) of the 6th power of the matrix:\n[[11, 4, 0, -6, 4, 2, -2, -8],\n [4, 12, -6, 1, -1, -1, 6, 4],\n [0, -6, 8, -1, 2, 8, -6, -3],\n [-6, 1, -1, -6, -3, 0, 0, 2],\n [4, -1, 2, -3, 3, 2, 8, -8],\n [2, -1, 8, 0, 2, 1, 6, -3],\n [-2, 6, -6, 0, 8, 6, 12, 0],\n [-8, 4, -3... | 7436618 | MATH |
[
{
"content": "Find the value at position (7, 1) of the 7th power of the matrix:\n[[-8, 1, -11, 9, 6, -5, 0, 6],\n [-8, 2, -9, -9, 5, 11, 6, 7],\n [9, -4, 2, -1, -9, -10, -8, 12],\n [4, -8, -9, 8, -6, -6, -6, 4],\n [12, 2, -6, 2, 7, -9, -11, 9],\n [0, -1, -3, 6, 2, 4, 8, -7],\n [-8, 8, 0, 1, 11, 1, 2, 3],\n [-3,... | 64792114 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, 0, 9, 6, -4, 0, 8, 2],\n [0, -12, -8, -3, 8, 0, 2, 2],\n [9, -8, 8, -6, 7, -1, -4, -8],\n [6, -3, -6, 10, -9, -2, 6, 1],\n [-4, 8, 7, -9, -2, 8, 0, 4],\n [0, 0, -1, -2, 8, -6, 1, 3],\n [8, 2, -4, 6, 0, 1, 5, ... | -3999630090 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -2, -2, 0, 1, 8, -2],\n [-4, -5, -4, 0, 0, -2, 2, 4],\n [-2, -4, 4, 6, 4, 4, 8, 0],\n [-2, 0, 6, -3, -8, 4, 10, -8],\n [0, 0, 4, -8, 6, 1, 3, -1],\n [1, -2, 4, 4, 1, 2, -1, -5],\n [8, 2,... | 54691042 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, 4, -7, 1, -4, -9, -2, 7],\n [8, 3, 3, 3, -7, 2, -10, -4],\n [-12, -2, 9, -7, 11, -8, 12, 12],\n [5, 8, -1, -6, -11, -6, -4, 11],\n [12, 7, -5, -4, -3, -1, -11, -3],\n [-10, -12, 4, 9, -12, -8, 1, -7],\n [-4, 9, 1... | 1650341019 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 8) of the result:\nA =\n[[11, -11, -5, 8, 12, 12, 11, 12],\n [-6, 3, 11, 9, -4, 3, -11, -10],\n [-11, 9, 6, 4, 7, 8, -1, -2],\n [7, 9, 6, -7, -3, 1, -12, 2],\n [-7, 0, 11, 1, 0, 11, 3, -12],\n [1, 0, 10, -3, -3, -9, 1, -1],\n [9, -7... | -760049781 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 2, -6, 6, 7, -9, 9, 6],\n [2, -3, -4, 2, -2, 1, 4, 3],\n [-6, -4, 4, -2, 4, 6, 7, 6],\n [6, 2, -2, -11, 4, -3, -6, 0],\n [7, -2, 4, 4, 5, 2, -6, 2],\n [-9, 1, 6, -3, 2, -2, 4, 8],\n [9, 4, 7, -6, -6, 4, 5, -2]... | 5004384 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-7, -6, -1, -1, 2, -2, -4, 4],\n [-6, -9, -1, 4, 2, 3, 10, -7],\n [-1, -1, -1, 4, -10, 1, 0, 2],\n [-1, 4, 4, -2, -4, 6, -6, 1],\n [2, 2, -10, -4, 8, -7, 1, -4],\n [-2, 3, 1, 6, -7, -4, -4, -4],\n [-4, 10, 0, -6,... | 14710506 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, -10, -11, -8, -5, 6, 9, -4],\n [-11, 2, -5, -3, -6, 6, -12, 9],\n [-11, -10, 1, 2, 8, 1, -5, 5],\n [9, 4, -6, 7, -12, -4, -4, -2],\n [6, -7, -6, 2, 7, -7, -4, 2],\n [9, 10, -7, -6, 4, -7, -4, -10],\n [1, -7, -9, 3, 10, 3, 10, -4],\n [-9, -5, 11, -5, 11, -7... | 3717369005 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[1, 1, 5, 0, 2, -10, -7, 10],\n [7, 4, 7, 3, -7, -5, 0, 0],\n [7, 4, 8, 10, 9, -10, 0, -6],\n [7, -8, -2, 10, 5, -9, 7, 9],\n [-6, -9, -3, -12, 4, -8, 4, -10],\n [-4, -10, -10, -4, -8, 11, -3, 2],\n [12, -1, -7, -6, -6, 10, -9, 0],\n [2, 5, 5, -6, -3, 3, 10, 10... | 3139061638 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 6, 0, -1, -7, 8, 6, 2],\n [6, 1, 0, -9, -8, 9, 0, -8],\n [0, 0, -11, 0, -3, 0, -1, 2],\n [-1, -9, 0, -5, -2, 2, 4, -1],\n [-7, -8, -3, -2, -5, 9, 0, -3],\n [8, 9, 0, 2, 9, -7, 6, 6],\n [6, ... | 85638903862 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, 6, 0, -11, 0, 7, -10, 7],\n [6, 4, -2, -5, 2, 2, -3, -1],\n [0, -2, -1, -2, -4, -6, -10, 0],\n [-11, -5, -2, 11, -8, -8, -3, 10],\n [0, 2, -4, -8, -1, 4, -10, 5],\n [7, 2, -6, -8, 4, 11, -2, 0],\n [-10, -3, -10, -3, -10, -2, -7, 0],\n [7, -1, 0, 10, 5, 0, ... | -1257299114 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -10, 10, -12, 10, 9, -3],\n [-11, 4, -4, 5, 7, -4, 12, -2],\n [4, 1, 5, 5, -1, 5, -5, -5],\n [-5, 7, 2, -5, 1, 0, 10, -5],\n [4, 6, -7, 4, -9, 12, -6, 4],\n [9, 9, 5, -7, -3, 5, 11, -6]... | 41329407 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[1, -3, -4, -6, 1, -12, 2, -4],\n [-3, 4, -3, 1, -2, 0, 6, 2],\n [-4, -3, -10, -6, -4, 6, 2, -4],\n [-6, 1, -6, -1, 0, 1, -2, -7],\n [1, -2, -4, 0, 12, -2, -6, 6],\n [-12, 0, 6, 1, -2, -4, 0, -8],\n [2, 6, 2, -2, ... | 405304669 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-9, 4, -2, 5, 2, 2, 1, -6],\n [4, -2, 1, 4, 4, -4, 0, 4],\n [-2, 1, 3, 0, -9, 10, -6, -8],\n [5, 4, 0, -3, -9, 8, 4, -2],\n [2, 4, -9, -9, 4, 0, -1, -2],\n [2, -4, 10, 8, 0, 9, -4, 0],\n [1, 0, -6, 4, -1, -4, 2, 4],\... | 61670810 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-6, 6, -8, 10, 0, -11, 11, 5],\n [-9, -9, -5, -2, -12, -4, -7, -9],\n [-7, 0, 9, -4, 1, -1, -9, -5],\n [4, 9, -8, -10, -9, -5, 3, -2],\n [-11, -5, -6, -12, -11, 10, 0, -2],\n [-10, -11, 3, -12, -6, -10, 9, 3],\n [11, -7, 1, 10, -2, 9,... | -5017388464 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, 1, -6, 4, -2, -12, -3, 6],\n [1, -8, -4, 4, 2, 3, -4, -2],\n [-6, -4, -9, 6, -2, 8, 4, -5],\n [4, 4, 6, -4, -6, -6, 2, -5],\n [-2, 2, -2, -6, -8, -1, 2, 2],\n [-12, 3, 8, -6, -1, 0, -8, 2],\n [-3, -4, 4, 2, 2, -8, -6, 1],\n [6, -2, -5, -5, 2, 2, 1, 11]], d... | -1901884374 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-3, -2, -4, 0, -10, 4, 5, -8],\n [3, 10, 3, -2, 9, -9, -4, 2],\n [-1, 3, -9, -10, 8, -9, -11, 6],\n [-6, -11, -12, 5, -5, -5, -3, 5],\n [9, -2, 10, -12, -6, -5, 12, 1],\n [11, 6, -5, 6, 9, -9, 10, 11],\n [-3, 9, -3, ... | 22475304919 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-1, -12, 3, -10, -12, -7, -11, -6],\n [-5, 0, 3, 9, 8, -3, -9, 12],\n [11, 8, 0, 4, -5, -5, 10, -6],\n [11, -12, 2, 2, 6, -9, -7, -3],\n [-1, 12, -9, -7, 12, 1, 0, 12],\n [9, 8, -10, 8, 2, -10, -8, 0],\n [2, 4, -7, 1... | 80121573 | MATH |
[
{
"content": "What is the value at position (5, 5) of the matrix A^6 where A is:\n[[7, -9, -11, 12, -11, 0, 9, 8],\n [7, -7, -9, 12, 2, 10, -10, -9],\n [4, -7, -11, 7, 0, 2, -8, 11],\n [6, -7, 4, 12, -12, -11, -12, -5],\n [-9, 5, 10, 11, -4, 2, 3, 8],\n [-10, -12, 11, 0, 1, -7, -8, 10],\n [-8, -9, 8, -1, 1, 10,... | 9854957 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[11, 7, -5, 11, 7, -9, -8, 0],\n [-6, -7, 4, -7, 6, 12, -10, -4],\n [8, 2, -5, 12, 12, 10, 2, -12],\n [-5, 10, -9, 9, -3, 3, 5, -9],\n [-5, -9, -3, 7, -9, 3, -1, -3],\n [12, -2, -11, 3, 10, 6, -1, -9],\n [4, -1, 3, -10, -11, -6, -7, -12],\n [2, -1, 0, -5, -4, -... | -23104306 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[5, 4, 1, 9, -4, 3, -4, 0],\n [4, 9, 8, 0, -2, -1, -4, 5],\n [1, 8, 3, 0, -2, 8, 9, 2],\n [9, 0, 0, 1, 5, 10, 2, 4],\n [-4, -2, -2, 5, 0, 2, 4, 4],\n [3, -1, 8, 10, 2, -3, 6, 6],\n [-4, -4, 9, 2, 4, 6, 12, -8],\n [0, 5, 2, 4, 4, 6, -8,... | 42979760 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[9, 12, 6, 4, 5, -5, -9, 10],\n [5, -2, 1, 0, 11, 3, -1, -4],\n [-6, -3, 4, 5, 12, -6, -10, 2],\n [3, 8, 4, 0, -10, 7, 7, 10],\n [-8, -4, 10, 5, -2, -2, 3, -5],\n [-11, 10, 8, -3, -7, -9, 8, -8],\n [10, -2, -1, 3, 7, 8, 1, 1],\n [7, 7,... | 19724138 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[11, -1, -2, -2, 0, -1, 2, -6],\n [-1, -11, -4, 10, -2, -7, -3, 5],\n [-2, -4, -2, 2, 2, -6, -4, 2],\n [-2, 10, 2, -2, 2, -4, 7, 2],\n [0, -2, 2, 2, -3, -2, -3, 2],\n [-1, -7, -6, -4, -2, 1, 10, -5],\n [2, -3, -4,... | -3863994 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[12, 0, -11, 9, -6, -12, -7, 3],\n [-5, 0, 10, 5, 1, 5, -9, 2],\n [-8, 8, 1, 3, 2, -2, -11, 10],\n [11, 5, -9, 2, -1, -10, -9, 8],\n [3, -7, -11, 9, -4, -1, -1, 11],\n [1, 4, -4, -1, -3, -2, -11, 3],\n [-12, 9, -12, 9, -11, -1, 10, 10],\n [7, 5, -1, 10, -12, -2... | 92059 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, 4, 12, -7, 3, 6, -7, -6],\n [6, 7, 4, -7, 2, 9, -4, -11],\n [-8, 8, 10, -8, -1, -3, -9, -1],\n [2, -3, 5, 11, -8, 0, -9, -4],\n [5, -10, 11, -2, -9, -4, -1, -3],\n [-3, -4, -3, -4, -12, 9, 3, 1],\n [0, -7, 1, -5, 10, 10, 5, 7],\n [-12, -1, -2, 0, 10, -9, ... | 984200160 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 2, 2, 0, 5, -6, 0, 10],\n [2, 8, 0, 3, 0, 5, -11, 6],\n [2, 0, -11, -1, 0, 0, 2, -1],\n [0, 3, -1, 3, 3, 2, -4, 0],\n [5, 0, 0, 3, 4, -2, -5, 2],\n [-6, 5, 0, 2, -2, 6, 5, 8],\n [0, -11, 2, ... | 36608309565 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, -2, -4, -2, -6, -3, 0, -6],\n [-2, 3, -10, 7, -6, -4, 2, -1],\n [-4, -10, 9, 6, 8, 0, -1, -2],\n [-2, 7, 6, 5, -9, -2, -3, 1],\n [-6, -6, 8, -9, 9, 3, 11, -9],\n [-3, -4, 0, -2, 3, 2, 0, 4],\n [0, 2, -1, -3, 11, 0, 11, -9],\n [-6, -1, -2, 1, -9, 4, -9, 12]... | 249623031 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, -5, -4, -11, -5, 0],\n [0, 11, 10, 0, 1, 2, 2, -3],\n [0, 10, -4, 4, -2, -5, 2, 4],\n [-5, 0, 4, 8, -5, -6, 8, -5],\n [-4, 1, -2, -5, -3, -1, -3, -5],\n [-11, 2, -5, -6, -1, -7, -2, -8... | 44377183 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[1, 4, -6, -6, -9, 6, -5, -9],\n [4, 2, 10, -5, 1, -12, -4, 10],\n [-6, 10, -2, 5, 4, 2, 9, -10],\n [-6, -5, 5, 10, 10, -2, 1, 2],\n [-9, 1, 4, 10, 2, 7, 10, -5],\n [6, -12, 2, -2, 7, -4, -1, 2],\n [-5, -4, 9, 1, 10,... | 12743335967 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (1, 3) of the result:\nA =\n[[-5, -11, 6, 8, 9, -6, -1, 7],\n [-10, 12, -9, 12, 12, -2, -1, 6],\n [6, -2, 0, 11, -12, -7, 9, 12],\n [3, -11, 1, 11, 10, 5, 4, 7],\n [5, 6, 2, -11, 12, -9, -12, -5],\n [7, 1, -2, 11, 11, 12, 1, 3],\n [-3, ... | 26762526 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[8, -1, 2, 6, -7, 6, 4, -4],\n [8, 0, 2, 3, 0, -11, -11, -2],\n [12, 3, 4, -10, 10, -12, 5, 1],\n [9, -4, -4, -1, 11, -10, -11, -12],\n [-4, 0, 8, 3, 6, -3, -8, 1],\n [2, -10, -4, -12, -12, 6, -7, -2],\n [5, 1, 3, -12, 11, -3, 12, -3],\n [0, -12, -10, 1, 8, 3, ... | 61655693654 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, -12, 7, 11, -8, -5, -1, -12],\n [0, -4, 7, 12, 11, -5, 0, -11],\n [2, 1, 6, -4, 6, 1, -5, -8],\n [-6, -9, -5, -9, 8, -12, -5, -6],\n [-2, 8, 3, 9, 4, 11, 12, -8],\n [-6, -3, 0, 7, 2, -7, -11, -9],\n [8, 1, 12, 12, 11, 2, 1, -9],\n [-7, -6, 0, 4, 4, -9, 6, ... | -13375100872 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, 4, -6, 0, 8, 6, 8, 6],\n [4, 4, -1, 5, -2, 4, 5, 4],\n [-6, -1, 6, 10, -2, 1, 0, 5],\n [0, 5, 10, 7, -9, -1, 2, -6],\n [8, -2, -2, -9, -9, 0, -2, 2],\n [6, 4, 1, -1, 0, 4, 2, 4],\n [8, 5, 0, 2, -2, 2, -1, -2],\n [6, 4, 5, -6, 2, 4, -2, 7]], determine the va... | -603994317 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 7, 9, 4, 7, -10, -6, 0],\n [7, 7, 3, 2, -4, 4, 2, 0],\n [9, 3, -10, -4, 0, -2, -2, -6],\n [4, 2, -4, -4, -1, -6, -2, -6],\n [7, -4, 0, -1, 6, 2, 0, 2],\n [-10, 4, -2, -6, 2, 0, 0, 2],\n [-6,... | 31055139 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, 9, 8, -4, 6, 12, 8, 11],\n [-2, -10, 10, -9, -8, -9, 0, -4],\n [10, 1, 3, 9, -7, -3, 10, 8],\n [0, -10, -2, -10, -6, -3, -12, -9],\n [-5, 7, 4, -8, 4, -4, -5, -6],\n [-8, -9, 10, -10, -5, -8, -8, 4],\n [2, -5, -6... | 216193188 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-8, -9, 12, -7, -3, -7, 9, 9],\n [-12, 3, -2, -7, 7, 5, -7, 4],\n [-1, 4, 8, 9, 5, -3, 11, 7],\n [-1, -9, -3, -8, -9, 3, -8, 6],\n [11, -7, 11, 8, -6, -3, -6, 9],\n [1, -3, 7, 9, 12, -2, 1, -1],\n [-9, 0, 9, 9, -10, 0, 7, 6],\n [2, 6, ... | -3143877 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, -9, 5, 2, -1, -5, -1, -4],\n [-6, 9, -5, 7, -3, -2, -11, -9],\n [8, 12, 8, 12, -4, -5, -8, 1],\n [-11, 8, 4, -5, -11, 10, 2, -11],\n [-2, 1, 8, -3, -6, 9, 1, 0],\n [8, 9, -11, -3, -12, -12, 11, -10],\n [-2, 6, -4, 0, 9, -9, 7, 10],\n [-7, -11, -4, 5, 11, ... | -103863244 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[12, 7, 4, 6, -10, 10, 9, 11],\n [10, 4, -10, 12, -9, 0, 2, -1],\n [-10, 8, -5, -12, 5, 0, -6, 0],\n [4, 0, 0, -2, 1, 8, -3, -5],\n [-7, 6, 10, 6, -1, 8, -6, 5],\n [7, 5, 10, -10, -4, -7, -12, -3],\n [-5, 10, 4, -10, -10, -10, -6, 9],\... | -604584162 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[1, 4, 7, 0, 4, 1, 1, 0],\n [4, 11, -11, 10, -8, 8, 0, 2],\n [7, -11, 10, 0, 1, 1, -1, 5],\n [0, 10, 0, -3, -1, -6, 6, -8],\n [4, -8, 1, -1, 4, -2, 2, -10],\n [1, 8, 1, -6, -2, 10, 0, 9],\n [1, 0, -1, 6, 2, 0, -4,... | 4312690899 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[8, -3, -6, -6, -2, 6, -5, 11],\n [-3, 1, -2, -7, 7, -2, -2, 5],\n [-6, -2, 12, -10, 2, -5, 8, -4],\n [-6, -7, -10, 9, 4, -5, 7, 2],\n [-2, 7, 2, 4, -5, 6, 8, 0],\n [6, -2, -5, -5, 6, 1, 8, -6],\n [-5, -2, 8, 7, 8, 8... | 131332063155 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[7, -4, 2, 8, 0, 1, 2, -2],\n [-4, -4, -1, -1, 10, 2, -6, 0],\n [2, -1, 0, 1, -6, -10, 0, -6],\n [8, -1, 1, -8, -6, 6, -9, -7],\n [0, 10, -6, -6, -11, -8, -4, -2],\n [1, 2, -10, 6, -8, -7, -8, -... | 161815403163 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-7, -6, 4, 0, 8, -2, -8, -5],\n [-6, -9, -2, 10, 1, -6, 0, 2],\n [4, -2, -7, 2, 9, 4, -8, -12],\n [0, 10, 2, 10, 0, 0, -4, -4],\n [8, 1, 9, 0, -5, 4, -3, -4],\n [-2, -6, 4, 0, 4, 11, 4, -2],\n [-8, 0, -8, -4, -3, 4, ... | 101492384 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 2) of the result:\nA =\n[[1, -2, 4, -8, 10, 1, 4, 7],\n [8, -11, -6, -9, -5, -12, -3, -12],\n [-12, -9, 4, -8, 1, -7, -6, -5],\n [11, 5, -9, 10, 12, 12, -10, 10],\n [-9, 12, 10, 3, 0, 9, 12, 10],\n [-2, 11, -2, -8, 7, -12, 1, 11],\n... | -250690125 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-9, 2, -7, 1, 1, -2, -5, 0],\n [2, -8, 1, 2, 0, 0, -4, -4],\n [-7, 1, -7, 0, 4, -6, 0, 0],\n [1, 2, 0, -9, 6, -8, -1, -4],\n [1, 0, 4, 6, 6, 8, 4, 3],\n [-2, 0, -6, -8, 8, -5, 2, 12],\n [-5, -4, 0, -1, 4, 2, -3, 2],\n [0, -4, 0, -4, 3, 12, 2, -5]], determine t... | 31866684438 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 8) of the result:\nA =\n[[4, -10, -10, 4, 2, 0, -2, -2],\n [-10, -4, 10, -8, -8, 7, -10, 5],\n [-10, 10, 3, 3, -6, -4, -1, 5],\n [4, -8, 3, -5, 0, 2, 2, -2],\n [2, -8, -6, 0, -7, 0, 6, 0],\n [0, 7, -4, 2, 0, 4, 4, -3],\n [-2, -10, -... | 42202400 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[9, 9, -6, 2, 4, 1, 1, -4],\n [3, -11, 1, -9, -10, -10, -2, -8],\n [3, 10, 10, 10, 6, -4, 9, -2],\n [-1, -5, 1, 4, 7, 2, 2, 10],\n [-1, -4, -1, 6, -1, -2, -7, -5],\n [-2, -10, 3, -7, -4, -4, -7, -8],\n [-12, -10, -10,... | 634960431 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, 2, -2, 4, 3, 0, -2, 4],\n [2, 12, -4, 0, 10, 3, 6, 2],\n [-2, -4, 7, -1, 1, -4, -3, -4],\n [4, 0, -1, 12, 8, -6, 1, -8],\n [3, 10, 1, 8, 2, 5, -1, 8],\n [0, 3, -4, -6, 5, 6, -6, -3],\n [-2, 6, -3, 1, -1, -6, 3, 0... | 60021582 | MATH |
[
{
"content": "What is the value at position (8, 5) of the matrix A^5 where A is:\n[[-11, 5, 1, 11, -8, -1, 1, -7],\n [-5, -6, -6, -1, -6, -1, 3, -6],\n [-5, -12, 0, 6, -12, 11, 5, -6],\n [9, 4, 2, 9, 12, 6, 10, -9],\n [4, -6, 3, 4, 7, 2, -4, 8],\n [10, 0, -6, 6, -2, -5, 4, -9],\n [-9, 5, 9, 4, -10, -4, -7, -11]... | 214410 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[8, -6, -10, 7, -8, -10, 2, -7],\n [2, -10, 11, 10, -12, -11, -9, 8],\n [1, 1, -3, -2, -9, 2, 7, 12],\n [-9, 7, 7, 3, -11, 0, -5, 0],\n [7, 8, -5, -9, -8, 8, -7, 10],\n [6, -3, -10, 0, -4, 4, -3, -1],\n [0, 11, -3, 6... | 803461787 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 6th power of the matrix:\n[[-12, 8, -4, -4, 3, -2, -1, -1],\n [8, 11, 0, 5, 8, 4, 5, -4],\n [-4, 0, -9, -4, 1, 0, 3, -4],\n [-4, 5, -4, -4, 2, -6, -2, 4],\n [3, 8, 1, 2, 11, 6, 8, 4],\n [-2, 4, 0, -6, 6, -8, 2, -9],\n [-1, 5, 3, -2, 8, 2, 11, 0],\n [-1, -4,... | -6185542 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, 4, -4, 8, 6, -2, 4, -2],\n [4, 7, 2, -6, 1, -4, -8, 10],\n [-4, 2, 10, 10, 11, -6, 1, 2],\n [8, -6, 10, -12, 5, -6, 4, -12],\n [6, 1, 11, 5, 6, 4, 4, -2],\n [-2, -4, -6, -6, 4, -3, 2, -2],\n [4, -8, 1, 4, 4, 2, 4... | 69885954150 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -2, -6, -4, -6, 8, -2],\n [0, 8, -1, -6, 2, -1, 2, -10],\n [-2, -1, 0, 2, 2, 2, 10, 2],\n [-6, -6, 2, -3, 2, -5, 8, 1],\n [-4, 2, 2, 2, -2, -2, -1, -1],\n [-6, -1, 2, -5, -2, -12, 5, -2],... | 112815987330 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[2, 11, 3, -4, -6, -3, -6, 0],\n [-11, -1, 0, -10, -2, -5, -2, 5],\n [-6, -1, -7, -3, 7, 2, 7, 2],\n [6, -7, 6, 2, 12, 7, 7, 5],\n [-11, -6, -8, -10, -7, -7, -12, 6],\n [-1, -8, -6, 7, -5, 6, -7, 2],\n [-7, -4, -9, 3, 10, -3, -12, -2],\n [4, 5, 7, 9, 7, 2, -7, ... | 55099140 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 6, -6, 10, 6, 2, 0, -4],\n [6, 8, 8, 0, 4, 7, 4, -3],\n [-6, 8, 5, 0, 6, 3, -7, -4],\n [10, 0, 0, 5, 1, 0, -6, -6],\n [6, 4, 6, 1, 4, -2, 5, -4],\n [2, 7, 3, 0, -2, 6, -5, 0],\n [0, 4, -7,... | 24877651842 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[11, 9, 1, 7, 10, -7, 12, -7],\n [5, 6, -4, 2, -6, -7, -8, 6],\n [7, -12, 8, -6, 5, -5, -1, -3],\n [-7, 3, 6, 5, 11, 0, 7, -6],\n [-6, 3, 12, -3, 2, 1, 11, -1],\n [2, -5, -6, 8, -4, 1, -6, -1],\n [1, -2, 6, -7, -10, -7, 11, -4],\n [-11, -7, 1, 6, 10, -9, 1, 8]]... | 47532621 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 7th power of the matrix:\n[[-3, -7, -2, 0, 11, 5, 7, 1],\n [7, 9, 7, -2, 8, -8, -5, -9],\n [-1, -7, 10, 11, 12, -5, -9, 7],\n [-3, -2, 2, -8, -10, 2, -11, -11],\n [12, -5, 9, 1, -4, -8, -1, -3],\n [-12, 11, 6, 12, -2, 4, -10, -12],\n [4, -7, 0, 7, -9, -8, 2... | 253865763 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-9, 5, 12, -5, -9, -2, -8, -3],\n [-7, -9, 5, 8, 4, -6, -4, -10],\n [9, -4, -9, 9, 6, -4, 10, 10],\n [7, -7, -2, 11, 2, 9, -7, 7],\n [11, -3, 11, 12, 9, 5, 3, -9],\n [7, 0, 11, -8, 7, 11, 6, 5],\n [7, 4, 3, -12, ... | 498300 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, 2, -2, 5, -2, 0, -6, 0],\n [2, -4, 4, 7, -1, 2, -7, 6],\n [-2, 4, -9, -2, 4, 0, -4, -6],\n [5, 7, -2, -8, -2, -2, 4, -1],\n [-2, -1, 4, -2, -11, -2, -9, -2],\n [0, 2, 0, -2, -2, -11, 7, 0],\n [-6, -7, -4, 4, -9, 7... | 60592604 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, -6, -4, -6, -3, 2, -6, 3],\n [-6, 2, -2, 0, 4, -2, 2, 6],\n [-4, -2, -11, 6, -4, -6, -2, -4],\n [-6, 0, 6, 1, -2, 6, 8, 8],\n [-3, 4, -4, -2, -9, -4, 1, -4],\n [2, -2, -6, 6, -4, 11, 5, 8],\n [-6, 2, -2, 8, 1, 5, 6, 2],\n [3, 6, -4, 8, -4, 8, 2, 12]], deter... | 2893762861 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[7, 8, 0, -7, -3, 10, -4, -7],\n [-12, 11, 5, 12, 10, -6, -3, -1],\n [8, 11, 2, 4, -10, 12, 2, -12],\n [-2, 11, -7, 3, 8, -1, 9, 8],\n [2, 12, 5, -3, 9, -1, 7, 6],\n [-8, 5, 6, 10, -1, -12, -11, -10],\n [-1, 1, -6, -9, -1, 11, -5, -12],... | 13478179326 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-1, -2, -3, -6, 10, 10, -6, 4],\n [-2, -6, -4, 10, 4, 2, -3, -2],\n [-3, -4, 5, -1, 0, 2, 4, 2],\n [-6, 10, -1, 3, -6, 9, 0, 6],\n [10, 4, 0, -6, 7, 4, 11, -3],\n [10, 2, 2, 9, 4, -9, -4, -11],\n [-6, -3, 4, 0, 11, -4, 8, 6],\n [4, -2, 2, 6, -3, -11, 6, -12]],... | -43690579 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[3, -6, -4, -3, 0, -2, -2, -7],\n [-6, 0, -6, 4, 0, -5, -1, -6],\n [-4, -6, -10, 7, -10, -2, -4, 2],\n [-3, 4, 7, -2, -3, -1, -11, 0],\n [0, 0, -10, -3, 12, -2, 2, -4],\n [-2, -5, -2, -1, -2, -12, 8, 2],\n [-2, -1, -4, -11, 2, 8, 7, -4... | 319313530 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, 8, 7, -12, 3, 10, -9, 11],\n [-4, -5, -12, -5, -8, -12, 12, 12],\n [-6, 2, -6, -12, -4, -12, -1, -6],\n [12, -4, -8, -1, 9, -11, 5, -4],\n [-12, -3, 1, 8, 1, -6, -1, 9],\n [9, -7, 0, -5, 10, 8, -11, -3],\n [-7, 3, -3, 2, 8, 7, -3, -2],\n [8, 12, -11, 9, 1... | 352632196 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 5th power of the matrix:\n[[-2, 9, 2, -9, -8, 11, -12, -12],\n [-3, -9, 0, 1, 6, -8, -2, -5],\n [-12, -8, 8, 5, 0, -8, 11, -6],\n [-1, -11, 0, 1, -7, 3, -3, -2],\n [-12, 2, 3, -3, -3, -10, -2, -2],\n [3, -7, -4, -12, -7, 5, 12, 0],\n [-11, 6, -11, -9, -9, -... | -1513509 | MATH |
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