messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
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[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, -6, 0, -6, 10, -10, 0, 6],\n [-6, 2, -2, -10, 12, -6, -4, 2],\n [0, -2, 2, 10, -2, -7, 0, 8],\n [-6, -10, 10, 5, -5, -3, 4, 8],\n [10, 12, -2, -5, 9, -4, -6, -6],\n [-10, -6, -7, -3, -4, 7, 7, 4],\n [0, -4, 0, 4,... | 258113440 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, 0, 1, -2, -8, 6, -2, -6],\n [0, 9, -1, -1, 0, -3, -7, -6],\n [1, -1, 6, 11, 5, 2, -2, -8],\n [-2, -1, 11, -4, -4, 4, 8, 2],\n [-8, 0, 5, -4, -1, -6, -6, 0],\n [6, -3, 2, 4, -6, 11, -2, -8],\n [-2, -7, -2, 8, -6, -2, -4, 0],\n [-6, -6, -8, 2, 0, -8, 0, -12]... | 54406575 | MATH |
[
{
"content": "What is the value at position (7, 8) of the matrix A^6 where A is:\n[[-1, 10, 2, 1, 2, 2, 2, -5],\n [10, -3, 8, 0, 6, -1, 7, -4],\n [2, 8, -1, 0, -8, 6, 8, 2],\n [1, 0, 0, 8, 0, 2, 6, 10],\n [2, 6, -8, 0, -6, 4, 2, -10],\n [2, -1, 6, 2, 4, -9, -4, 7],\n [2, 7, 8, 6, 2, -4, 3, 0],\n [-5, -4, 2, 10,... | -19111270 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, -5, -6, -11, -1, 8, 1, 3],\n [-2, 7, -4, -3, 4, -1, -7, 6],\n [-2, -4, 8, -7, 12, 12, 11, 12],\n [3, 7, 3, -7, -8, 8, -9, -11],\n [-7, -4, 4, 1, -6, 9, 6, -12],\n [7, 12, 2, 5, -10, 5, -11, -3],\n [-2, 11, -10, -6, -5, 6, 5, 0],\n [0, 11, 6, 10, -1, 4, 9, ... | 829966726 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[0, 12, -1, 6, 1, -6, 0, -7],\n [11, 6, 6, -9, 6, -4, 3, -9],\n [-7, -5, 11, 3, -8, 8, 9, -3],\n [10, 0, 1, -6, 7, -7, -6, -8],\n [8, 5, 10, -1, -7, -12, -9, 6],\n [-1, 2, -10, 10, 7, -5, -2, 3],\n [-4, -10, -8, 7, 1, 2, -7, -9],\n [-5... | 40069623 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, -1, 4, 8, 0, 12, -2, 1],\n [-1, -9, 2, 2, 4, -1, 2, 0],\n [4, 2, -1, -6, -1, 6, 5, 0],\n [8, 2, -6, 3, 2, -9, 6, 2],\n [0, 4, -1, 2, -4, 7, 6, 6],\n [12, -1, 6, -9, 7, -5, 9, -6],\n [-2, 2, 5, 6, 6, 9, 8, -4],\n [1, 0, 0, 2, 6, -6, -4, 5]], determine the s... | 42222967177 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[3, -1, 7, 0, -5, 9, -12, 8],\n [-6, 2, 9, 0, 0, -4, 11, 2],\n [-9, 0, -1, -8, -6, -5, -8, -4],\n [1, -1, -9, 7, -5, 4, -5, 8],\n [-12, 7, -11, -9, 11, 8, -12, -6],\n [-12, -4, -10, -1, 6, 2, 9, 3],\n [-3, 9, -7, 4, 8, 9, 11, 4],\n [8, ... | 313637173 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 0, -2, 10, 3, 6, -8, 7],\n [0, -8, -3, 0, -2, 8, 10, -3],\n [-2, -3, -3, 8, -6, -8, -6, 4],\n [10, 0, 8, -6, 7, 4, -8, 7],\n [3, -2, -6, 7, -3, -5, -2, -5],\n [6, 8, -8, 4, -5, 11, -1, -4],... | 75878053 | MATH |
[
{
"content": "Find the value at position (3, 7) of the 5th power of the matrix:\n[[0, 0, 0, 8, -1, -3, 1, 4],\n [0, 2, 2, -6, 10, -3, 7, -2],\n [0, 2, 12, 1, -1, 3, -6, -5],\n [8, -6, 1, -8, -10, 2, -4, 0],\n [-1, 10, -1, -10, 1, -6, -2, 0],\n [-3, -3, 3, 2, -6, -8, 0, 4],\n [1, 7, -6, -4, -2, 0, 4, 6],\n [4, -... | -827785 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[6, -10, -7, -9, 11, 0, 0, -2],\n [-8, -12, -4, 4, 9, -12, -10, 2],\n [8, 10, -3, -5, -1, 12, 9, 2],\n [-4, 11, 12, -3, 7, -4, 2, 10],\n [8, 8, -12, -11, 6, 1, -5, -7],\n [-1, 2, 1, 8, -12, -2, 12, -10],\n [6, 5, 7, ... | 1167204741 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-10, 4, -10, 2, 4, -4, 0, 2],\n [4, 0, 2, -5, -4, 1, 4, 5],\n [-10, 2, -8, 4, 0, -10, -6, 2],\n [2, -5, 4, -1, 4, 4, -9, -4],\n [4, -4, 0, 4, 3, 2, 1, -10],\n [-4, 1, -10, 4, 2, 7, 8, 2],\n [0, 4, -6, -9, 1, 8, 10, -3],\n [2, 5, 2, -4... | -541644573 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 1) of the result:\nA =\n[[-6, 10, 4, -6, 2, 0, 0, 0],\n [10, 7, 4, -3, -6, 2, 8, 0],\n [4, 4, 5, -2, -6, 4, -2, 2],\n [-6, -3, -2, -12, 4, -6, 2, -10],\n [2, -6, -6, 4, 4, -3, -4, -6],\n [0, 2, 4, -6, -3, -4, -6, 4],\n [0, 8, -2, 2,... | 25214372 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 4) of the result:\nA =\n[[8, -10, -3, 6, -5, -6, -12, -1],\n [-8, 3, 12, -9, 4, 11, 8, -11],\n [-1, -12, -1, -1, -1, 6, 12, 4],\n [7, 11, 11, -2, 0, -5, -3, -5],\n [7, -5, -4, -6, 1, -11, 12, -2],\n [-5, 0, 8, 2, -10, 10, 1, 2],\n [... | -289605835 | MATH |
[
{
"content": "Find the value at position (2, 8) of the 5th power of the matrix:\n[[4, 6, 4, -4, 0, -4, -2, 2],\n [6, 9, 6, -1, -2, 4, 4, 5],\n [4, 6, 8, -5, 0, -2, 9, 2],\n [-4, -1, -5, 8, -2, 8, 8, -4],\n [0, -2, 0, -2, -8, 2, -1, 1],\n [-4, 4, -2, 8, 2, 8, -5, 6],\n [-2, 4, 9, 8, -1, -5, 8, -4],\n [2, 5, 2, -... | 1656578 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-11, 0, 4, 2, -12, -2, 4, 3],\n [0, -1, 2, 0, 4, -2, 2, 0],\n [4, 2, 1, -2, 2, 3, -9, 6],\n [2, 0, -2, -6, 4, 5, -2, -3],\n [-12, 4, 2, 4, 2, -8, -2, 1],\n [-2, -2, 3, 5, -8, 3, 4, 3],\n [4, 2, -9, -2, -2, 4, 0, -7],\n [3, 0, 6, -3, 1... | -637036 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[0, -6, 10, 0, 8, -5, 8, 4],\n [-4, 7, 0, -11, -9, 12, -11, -9],\n [5, -8, 6, -3, 5, 12, 8, -3],\n [-8, 4, 9, 0, 10, 4, -4, 11],\n [-1, 1, 1, -5, 10, -8, 6, 1],\n [-4, -6, -5, 1, 9, 1, -2, 1],\n [8, -5, -10, 10, 5, -... | 364519335 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, -6, 6, -1, 4, 1, 8, -8],\n [-6, 2, 2, 3, 10, 0, -9, 2],\n [6, 2, -9, 4, -5, -4, 10, 6],\n [-1, 3, 4, -4, 4, 1, -8, 4],\n [4, 10, -5, 4, -11, -2, 1, 6],\n [1, 0, -4, 1, -2, -1, -2, -4],\n [8, -9, 10, -8, 1, -2, -7, 2],\n [-8, 2, 6, 4, 6, -4, 2, -1]], determi... | -694806 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[3, 12, -8, 12, 3, 12, -7, -2],\n [4, 10, 1, -7, 12, 10, -2, -1],\n [0, -9, -6, -11, -7, -7, 5, 7],\n [-5, -5, -5, -5, -12, -11, -1, 2],\n [-9, 12, -10, 1, 9, 10, -5, 0],\n [10, 6, 9, -8, 0, 7, -12, 3],\n [10, 11,... | 45320674 | MATH |
[
{
"content": "Find the value at position (4, 8) of the 7th power of the matrix:\n[[-4, 4, 5, 10, 12, 4, 6, 2],\n [4, 3, -10, 4, 0, 9, 2, -8],\n [5, -10, 9, 0, -8, 0, 4, -2],\n [10, 4, 0, -5, -1, -6, 2, 7],\n [12, 0, -8, -1, -1, -6, 3, -1],\n [4, 9, 0, -6, -6, 6, -2, 7],\n [6, 2, 4, 2, 3, -2, -5, 6],\n [2, -8, -... | 901939870 | MATH |
[
{
"content": "What is the value at position (5, 8) of the matrix A^6 where A is:\n[[-11, -7, 4, 3, 4, 12, 7, -4],\n [-8, 10, -12, -7, 11, 1, 4, 12],\n [6, -12, -12, 0, 1, -7, -7, -12],\n [1, -10, 10, -3, 6, 6, 6, 10],\n [-9, 7, 6, -3, 12, -11, -9, 11],\n [-7, -6, 3, -6, 5, 7, 9, 6],\n [-4, 7, -3, 0, 5, 3, 9, 4]... | 9989299 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[5, -11, 3, -1, -4, -10, 9, 8],\n [-9, -11, -5, -3, 3, 10, -2, 5],\n [9, 1, -5, 10, 2, 4, 8, 5],\n [-7, 10, 1, 10, -10, -6, 2, 8],\n [11, 3, 3, -5, -6, -7, -11, 9],\n [0, -1, 2, -4, -11, 4, -8, -2],\n [9, 6, 11, -6, -... | 4161173801 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-10, -12, 2, 0, -8, 12, 0, 9],\n [-8, 6, 8, 11, 5, 8, 9, -3],\n [11, -5, 2, 8, 12, 7, 12, 10],\n [9, -9, -11, 11, -7, -10, -6, -3],\n [10, -7, 3, -11, 11, 4, 0, -12],\n [-7, -8, 12, 0, 10, 5, -1, -6],\n [2, -10, 3, ... | 4451925703 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 0, -2, -4, -5, 4, 6, 1],\n [0, 4, 2, -6, -9, 4, 0, -2],\n [-2, 2, -12, -2, 2, 2, 0, 0],\n [-4, -6, -2, -8, -4, -3, 2, 2],\n [-5, -9, 2, -4, -8, -7, -4, 0],\n [4, 4, 2, -3, -7, 7, -10, -4],\n [6, 0, 0, 2, -4, -10, 12, 5],\n [1, -2, 0, 2, 0, -4, 5, 1]], det... | 25682615505 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, 2, -3, -4, 4, -3, -4, -6],\n [2, 8, -8, -3, 6, -4, 12, -7],\n [-3, -8, 7, -4, -10, -5, 0, 0],\n [-4, -3, -4, -10, -8, 4, 4, 6],\n [4, 6, -10, -8, 11, 4, 0, -7],\n [-3, -4, -5, 4, 4, -9, -1, -1],\n [-4, 12, 0, 4, 0, -1, 3, -4],\n [-6, -7, 0, 6, -7, -1, -4, ... | 240670213 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 1, -10, 4, 8, 1, 5, -10],\n [9, 6, -10, -1, 9, -8, -3, -4],\n [-12, 0, -10, 6, -2, 3, -7, 11],\n [-10, 6, -7, -5, 9, 0, -1, -3],\n [-10, -9, -12, 0, 11, -9, 9, -2],\n [6, -2, -1, -2, -7, -1, -4, 12],\n [-3, -10, ... | 44152365 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 5, 2, 0, 2, 0, 5],\n [3, 5, 2, -8, 6, 3, 12, -7],\n [5, 2, 2, 6, 6, -6, 1, 2],\n [2, -8, 6, 10, 4, -9, -6, 2],\n [0, 6, 6, 4, -2, -2, -8, -8],\n [2, 3, -6, -9, -2, 3, 6, -3],\n [0, 12, 1,... | 235304028109 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[12, 7, -8, -6, 0, -2, -6, 0],\n [7, -3, 0, -2, -2, -1, 4, 6],\n [-8, 0, 3, 2, 10, 2, 2, -1],\n [-6, -2, 2, -1, -8, -10, 0, -2],\n [0, -2, 10, -8, -11, -4, 4, 4],\n [-2, -1, 2, -10, -4, -2, 0, 0],\n [-6, 4, 2, 0, ... | 229864229 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, 5, 1, 2, -2, 6, -4, -1],\n [5, -7, 4, 0, 0, 2, 6, -2],\n [1, 4, -8, -8, 0, -4, -8, 2],\n [2, 0, -8, 11, 0, -4, 8, 0],\n [-2, 0, 0, 0, 12, 9, 3, 4],\n [6, 2, -4, -4, 9, -12, 1, 0],\n [-4, 6, -8, 8, 3, 1, 6, 7],\n [-1, -2, 2, 0, 4,... | 317173264 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[1, 8, -3, 3, -6, -5, -3, 2],\n [-5, 0, -1, -5, 2, -1, -2, 6],\n [1, 5, 0, -9, 4, 6, -4, 10],\n [-6, -12, -6, -6, 7, -6, -5, 3],\n [-10, 0, -3, 5, -6, 8, 8, -8],\n [10, 12, 11, 9, -6, 12, 9, 4],\n [-9, 11, 10, 3, 6, -3, -10, -10],\n [4... | 4467539264 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, -7, -1, 12, 9, 12, 7, 4],\n [4, -3, -6, 3, 0, -10, -11, 3],\n [-7, -7, 0, -6, -8, 11, -6, -11],\n [4, 0, 12, 8, 8, 3, 7, -11],\n [-8, 5, -6, -2, 12, 12, -2, 9],\n [4, 3, 0, 9, -8, 7, 3, 9],\n [9, 3, 3, 1, -7,... | 9151687771 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[1, 5, 4, -6, 2, -1, 4, 0],\n [5, 11, 2, 9, 0, -2, -5, 7],\n [4, 2, -9, -6, -7, -3, -10, 7],\n [-6, 9, -6, -9, -2, -3, 10, 2],\n [2, 0, -7, -2, -12, 8, -5, 1],\n [-1, -2, -3, -3, 8, -12, -4, 3],\n [4, -5, -10, 10, -5, -4, 0, -2],\n [0,... | 581726272 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 8, -5, -9, 7, 11, 2, -8],\n [0, -7, -8, 4, -6, -7, -11, -2],\n [-6, 9, 8, -5, -8, 5, 9, 3],\n [1, -1, 4, -8, 1, -7, 2, -6],\n [1, 5, -12, -7, -10, -8, -1, -2],\n [0, 3, 5, 4, 4, -2, 7, -3],\n [3, -11, 4, 9, 7, -3... | 21663911 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-8, 5, 3, -3, 8, -2, 4, -8],\n [5, 3, -4, -1, 0, -4, -2, -8],\n [3, -4, -10, 8, -10, 0, 7, 0],\n [-3, -1, 8, 10, 0, -3, -1, 0],\n [8, 0, -10, 0, 5, -2, -2, -10],\n [-2, -4, 0, -3, -2, 5, 4, 0],\n [4, -2, 7, -1, -2, 4, -12, 0],\n [-8, -... | -13855302 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^7 where A is:\n[[-12, 2, 0, 9, 6, -3, 8, -4],\n [2, -3, -1, 10, 4, 2, 0, 1],\n [0, -1, 0, 0, 6, 4, -1, -1],\n [9, 10, 0, 0, -5, -6, -6, -6],\n [6, 4, 6, -5, 0, 4, -2, 2],\n [-3, 2, 4, -6, 4, -4, -8, -1],\n [8, 0, -1, -6, -2, -8, 2, 2],\n [-4, 1,... | 221160587 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, 11, -1, -4, -11, -2, 2, -9],\n [11, 11, -7, 0, 0, 3, 4, 10],\n [-1, -7, -10, -5, 3, -1, -1, 10],\n [-4, 0, -5, -5, 8, -1, -7, 6],\n [-11, 0, 3, 8, -3, -8, -10, -10],\n [-2, 3, -1, -1, -8, 5, -6, 8],\n [2, 4, -1, -7, -10, -6, 10, -6],\n [-9, 10, 10, 6, -10, ... | 50352780 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, 10, -12, -5, -1, 1, 3, -3],\n [2, 8, 11, 2, -3, 8, -6, -10],\n [-11, -7, 8, -4, -3, -9, -10, -4],\n [11, 9, 4, 1, -3, 0, -1, -12],\n [9, 6, 6, -7, 0, 6, 0, 9],\n [8, -9, 11, -11, 2, -1, -6, 7],\n [5, 10, 0, 4, -9, 12, 1, 7],\n [0, -10, 5, 1, 2, -10, -12, 1... | 5681195 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -6, 0, 0, -2, -2, -1],\n [-1, -10, 0, -4, -6, -7, 0, 2],\n [-6, 0, 2, -6, 2, 4, -1, 5],\n [0, -4, -6, 9, 2, 3, 6, -2],\n [0, -6, 2, 2, 5, 0, -3, 0],\n [-2, -7, 4, 3, 0, -7, 4, 4],\n [-2,... | 20847123 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, 6, -8, 8, -8, -6, 0, 0],\n [6, -8, -6, 7, 2, -3, 3, -3],\n [-8, -6, -10, -1, -8, -8, 6, 0],\n [8, 7, -1, -3, 7, 0, 4, -8],\n [-8, 2, -8, 7, -9, -2, -7, -2],\n [-6, -3, -8, 0, -2, -3, -1, 1],\n [0, 3, 6, 4, -7, -1, -4, -3],\n [0, -3, 0, -8, -2, 1, -3, 10]],... | -61593181302 | MATH |
[
{
"content": "What is the value at position (5, 7) of the matrix A^7 where A is:\n[[-7, 3, 1, -5, -1, -8, -2, 2],\n [3, -11, 6, 8, 3, 3, -8, 8],\n [1, 6, -6, 4, -10, 0, -10, -5],\n [-5, 8, 4, 12, 4, 7, -2, 2],\n [-1, 3, -10, 4, 12, -6, 2, -2],\n [-8, 3, 0, 7, -6, -12, 12, -9],\n [-2, -8, -10, -2, 2, 12, -9, 8],... | 5666535638 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, 0, -9, 5, -2, 12, -9, 11],\n [1, 5, -5, -3, -8, 10, -6, -1],\n [12, -10, -9, -3, -9, 2, -3, 8],\n [9, 3, 2, 6, 7, 6, 5, -1],\n [12, 3, -12, 3, -11, 11, 2, -6],\n [-12, -8, -3, 9, 8, -9, 1, 0],\n [-12, 3, 10, -4, 9, 3, 6, 2],\n [1, 7, -3, 8, -1, -12, 8, 4]]... | -8128125208 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 4) of the result:\nA =\n[[-4, 10, 6, 12, 5, -6, -4, 9],\n [8, -1, -6, 1, 2, 2, -7, 8],\n [1, -11, -5, 0, 10, -7, -8, -8],\n [12, -12, -4, -7, 7, -6, -4, -8],\n [1, -8, -5, -6, 0, 0, -5, -2],\n [5, 12, 6, -7, 9, -11, 0, 10],\n [12, -... | -556755632 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, 0, 2, 11, 7, -6, 0, 0],\n [0, 5, -3, 0, 6, 0, 2, -1],\n [2, -3, -4, -4, 2, 8, 2, -2],\n [11, 0, -4, 12, 6, 3, -1, 2],\n [7, 6, 2, 6, -7, 0, -3, 8],\n [-6, 0, 8, 3, 0, 2, 8, -3],\n [0, 2, 2, -1, -3, 8, -10, 1],\n [0, -1, -2, 2, 8, -3, 1, -12]], determine the... | 31493061983 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-12, -6, 5, 10, 10, 2, 12, 0],\n [3, -6, 3, 0, 1, 4, -1, 11],\n [11, 7, 0, 11, 7, 2, 11, 8],\n [-9, 9, -11, 5, -11, 12, 2, 6],\n [2, 7, -3, 11, 7, -2, -3, 10],\n [-8, -4, 7, 6, 0, 5, 4, -7],\n [-3, -11, 11, -7, 8... | 8184638 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, -8, -5, -3, -4, 6, -10, -2],\n [-8, 8, 9, 6, 4, 2, 7, 3],\n [-5, 9, -6, 3, 0, 0, 2, -10],\n [-3, 6, 3, 1, -1, 4, -2, 4],\n [-4, 4, 0, -1, 4, -2, 6, 12],\n [6, 2, 0, 4, -2, 10, -6, 2],\n [-10, 7, 2, -2, 6, -6, ... | 778179478 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -5, 1, -11, -2, -2, 11, 9],\n [11, -7, 8, 8, 1, -3, -5, -6],\n [-5, -5, 10, -11, 3, -4, 0, 10],\n [-1, 9, 12, 4, -11, 0, -12, 6],\n [-2, -8, -12, 7, 0, -5, -7, 4],\n [-1, -12, -10, 1, -5, -2, 1, -5],\n [-10, -6, 6, -9, 12, 3, 0, 7],\n [6, -8, 10, -8, 7, 11,... | 7327702849 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[0, 4, 6, 0, 8, 3, -3, 10],\n [4, 10, 8, 6, 0, -5, 0, 3],\n [6, 8, 7, 0, 8, -11, 0, 3],\n [0, 6, 0, -8, 2, -5, 1, -3],\n [8, 0, 8, 2, -9, -4, -6, -8],\n [3, -5, -11, -5, -4, 12, 2, 2],\n [-3, 0, 0, 1, -6, 2, 4, 6],\n [10, 3, 3, -3, -8, 2, 6, -1]], determine the... | -43602483 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (7, 5) of the result:\nA =\n[[-4, 1, 7, -12, -3, 4, 4, 4],\n [-9, 4, 5, 7, 10, -11, -5, 0],\n [10, 12, 9, 7, 9, 2, 7, 10],\n [-4, -10, -10, -11, -12, 1, 4, 0],\n [6, 10, 2, 12, 1, -11, -6, 4],\n [5, -7, 8, -5, -11, -12, 3, -6],\n [9, 11... | -37866972 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-9, -2, -8, 3, -3, 1, 5, -2],\n [-2, 11, 5, -8, 4, 6, 0, 0],\n [-8, 5, 0, 8, 6, 0, 7, 4],\n [3, -8, 8, 5, -6, 7, 8, 1],\n [-3, 4, 6, -6, 8, -4, 10, 8],\n [1, 6, 0, 7, -4, 7, -1, -3],\n [5, 0, 7, 8, 10, -1, 7, 4],\n [-2, 0, 4, 1, 8, -3, 4, -4]], determine the s... | 86396423 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-4, 0, -7, 2, 6, 8, 2, 5],\n [-6, -2, -5, -7, -5, -11, 6, 3],\n [-6, -3, -1, 4, -6, 9, -5, -6],\n [-9, -10, 6, 2, -9, 12, -4, 0],\n [5, 8, 3, -12, -9, 5, -5, 7],\n [3, 8, -2, 7, 8, 8, 8, 6],\n [10, 6, 5, 6, -2, -10, -5, 7],\n [6, -3, ... | -92737781 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, -6, -3, 2, 6, 0, 8, 1],\n [-6, 2, 1, 2, -3, -2, 10, -8],\n [-3, 1, -12, 2, 1, 6, -8, -2],\n [2, 2, 2, -5, -2, -1, 0, -6],\n [6, -3, 1, -2, -1, 0, 0, 10],\n [0, -2, 6, -1, 0, 0, -1, 1],\n [8, 10, -8, 0, 0, -1, -3,... | 30098682 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 0, -4, -11, 5, 8, -12, 11],\n [8, -1, -3, -11, -4, -11, 10, 11],\n [9, 1, -2, 10, -2, 4, -9, 0],\n [-6, 3, -12, 0, -12, -2, -7, 7],\n [-10, -1, -8, -4, -1, -3, 6, -8],\n [-8, -4, 7, 4, -3, ... | 58562233 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^7 where A is:\n[[10, -2, -7, -2, 0, -1, 9, -11],\n [8, -10, 10, -9, 4, 9, -7, -6],\n [2, -2, 11, -10, -7, -11, 1, -4],\n [5, 6, -1, 0, -1, -1, 5, -4],\n [4, 8, 3, 4, 8, 11, -5, -2],\n [11, -11, -5, -1, 8, -12, 10, 0],\n [9, 8, 4, 1, 1, 3, 4, -7]... | 1143027207 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 5th power of the matrix:\n[[11, -11, 6, 2, -1, 2, 12, 5],\n [1, -7, -1, 7, 10, -7, -4, 12],\n [-9, 4, -11, 3, 11, 1, -5, 1],\n [-11, 3, -9, -12, 10, 7, 1, -5],\n [12, 12, -10, -8, -7, 9, -5, -7],\n [-7, -9, -6, 11, 6, -6, -10, -5],\n [-12, -12, 1, -7, -3, 1... | -2957972 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-10, -2, 2, -10, 1, -11, -9, 6],\n [-1, -11, 4, -10, -3, 3, 9, -4],\n [-2, 8, 2, -10, 3, 8, 8, 8],\n [-1, 10, -8, -6, -4, 8, 5, 8],\n [-5, -1, 7, -11, -3, 6, -4, 12],\n [11, -5, 11, 11, 11, -12, -7, -1],\n [12, 11, 6... | 136074400 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[7, 0, 0, -12, 7, -9, 11, -9],\n [-9, 0, -11, 10, 2, -9, -7, -10],\n [-6, -7, -10, -9, -3, 8, -4, -7],\n [7, -2, -6, 5, -9, -8, -9, -9],\n [0, 3, 12, 1, -2, -11, 9, 1],\n [11, 11, -6, -2, -9, -6, 3, -7],\n [-7, -11, 11, -5, -6, 12, 11, ... | 48953084 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 4, 1, -4, 4, -2],\n [2, -7, -4, 1, -1, 4, -7, -1],\n [2, -4, -5, -6, -2, 8, 0, 4],\n [4, 1, -6, -12, 2, 4, -6, -1],\n [1, -1, -2, 2, 12, 6, -1, 4],\n [-4, 4, 8, 4, 6, 12, 5, -4],\n [4, -7, 0, -6, -1, 5, ... | -1012024 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[7, 4, 7, 3, -8, -10, 2, -11],\n [0, 9, -5, 10, 4, -9, 6, 9],\n [12, -4, 10, 2, -4, 11, 8, -4],\n [1, 10, 8, 3, 11, 10, 12, 4],\n [0, -4, 2, -6, -12, -12, -8, 11],\n [-4, -1, -7, 0, -5, 2, -7, -7],\n [-9, -2, 8, 5, -1... | 104325408 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[3, 2, 8, 5, -6, 0, 0, 0],\n [2, -8, -6, 0, -2, -4, 4, 0],\n [8, -6, -12, 0, 9, 2, -2, 0],\n [5, 0, 0, 1, 4, 8, 10, 1],\n [-6, -2, 9, 4, -11, -6, 4, 9],\n [0, -4, 2, 8, -6, -4, -8, 4],\n [0, 4, -2, 10, 4, -8, 1, -4],\n [0, 0, 0, 1, 9, ... | -541096 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (7, 2) of the result:\nA =\n[[1, -1, 3, -7, 7, -12, -1, -6],\n [-5, -4, -11, 4, 7, 0, -8, -3],\n [-1, 4, 8, -7, -10, 2, -6, -7],\n [-9, 6, -8, -10, 12, -4, -7, 0],\n [9, 7, -9, -11, -9, -5, 0, -3],\n [5, -4, -12, 0, 5, 2, -11, -2],\n [1... | 1210787 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[7, 8, 10, -4, -9, 2, 0, -6],\n [8, 3, 3, -3, -2, 6, 0, 6],\n [10, 3, 5, 0, 0, 4, -4, 0],\n [-4, -3, 0, 7, 0, 2, 2, 2],\n [-9, -2, 0, 0, 5, -8, -4, 7],\n [2, 6, 4, 2, -8, -1, 4, 4],\n [0, 0, -4,... | 2360522011 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-3, -1, 1, -2, -9, 4, 6, 2],\n [-1, 3, 0, 2, 10, 0, 9, 9],\n [1, 0, -4, 8, 0, 8, -4, 4],\n [-2, 2, 8, 7, 0, -8, -8, -4],\n [-9, 10, 0, 0, -6, -5, -1, 7],\n [4, 0, 8, -8, -5, 4, 0, 3],\n [6, 9, -4, -8, -1, 0, 3, 3... | 2215778957 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-9, 6, -2, 0, 3, 2, 3, -1],\n [6, -6, 2, -5, -2, -4, -2, -2],\n [-2, 2, -6, -2, -3, 0, -3, 12],\n [0, -5, -2, 1, 0, -10, 0, 0],\n [3, -2, -3, 0, -3, -2, -2, 2],\n [2, -4, 0, -10, -2, -9, 0, 1],\n [3, -2, -3, 0, -2, 0, 12, 8],\n [-1, -2, 12, 0, 2, 1, 8, -8]], d... | 16613426 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[0, 0, -8, -1, 2, 0, -6, 4],\n [0, -1, -4, 4, -4, 0, 2, 8],\n [-8, -4, -3, 8, -1, 0, 2, 4],\n [-1, 4, 8, 8, 2, -3, -8, 4],\n [2, -4, -1, 2, 4, -2, -2, 0],\n [0, 0, 0, -3, -2, 12, -2, 5],\n [-6, 2, 2, -8, -2, -2, 2, -4],\n [4, 8, 4, 4, 0, 5, -4, -10]], determine... | -19119320 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-4, -2, -2, 12, 9, -3, 1, -4],\n [7, 8, -3, 9, -4, -8, -5, -2],\n [-12, 8, -3, -12, 9, -6, 1, -8],\n [4, 9, 8, -7, 3, -2, -3, 2],\n [-6, 10, -11, -1, 6, -1, 3, -7],\n [-10, -11, 7, -8, -2, 12, -10, -10],\n [9, -8, 9,... | 65310477 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[7, -4, 3, -7, 12, -9, -4, 0],\n [-4, -7, 8, 6, 1, 8, 2, -10],\n [-8, 8, 5, 1, 3, 1, -4, 2],\n [-6, 1, -7, 8, 2, 7, -5, -11],\n [-5, -12, 4, 6, -8, 9, 7, 3],\n [-6, -6, 5, 5, -11, 2, 1, 5],\n [-4, 1, -8, -2, -5, -8, ... | 30170108 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, 2, 8, 0, 2, 4, 0, 2],\n [2, 5, 2, 4, 8, -4, 2, -4],\n [8, 2, -6, 0, -3, -2, -4, 2],\n [0, 4, 0, -1, -10, 0, -5, -2],\n [2, 8, -3, -10, 7, 0, 4, 2],\n [4, -4, -2, 0, 0, 11, 0, -4],\n [0, 2, -4, -5, 4, 0, 11, 4],\n [2, -4, 2, -2, 2, -4, 4, -6]], determine the... | 185722778 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[12, 6, 11, 2, -4, -3, 10, 7],\n [7, -9, -7, -9, -8, -4, -1, 10],\n [-5, 8, -8, -2, 10, -2, 0, 1],\n [-5, 12, 5, 6, -1, -1, 5, -3],\n [-6, 5, -1, 1, 2, 3, -11, 5],\n [-1, 3, 0, 7, 4, 5, -10, 10],\n [-3, -12, -7, -10, 6, -9, 7, 10],\n [-... | 626236761 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-3, 0, -5, 2, -2, 3, -3, -6],\n [0, 5, 0, -4, -3, -8, 2, 3],\n [-5, 0, -2, -5, 6, 8, 8, -6],\n [2, -4, -5, -3, 2, -1, 0, -8],\n [-2, -3, 6, 2, -8, 8, -10, -3],\n [3, -8, 8, -1, 8, 10, 8, 8],\n [-3, 2, 8, 0, -10, 8, 1, 3],\n [-6, 3, -6, -8, -3, 8, 3, -5]], dete... | 582051115 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[11, -7, 7, 12, 1, -1, -6, 5],\n [-7, -4, 4, -2, 1, 4, -3, -8],\n [7, 4, 2, -6, -2, -2, -2, 7],\n [12, -2, -6, 6, 2, -2, 4, 3],\n [1, 1, -2, 2, 12, -2, 6, -1],\n [-1, 4, -2, -2, -2, 8, 10, -1],\n [-6, -3, -2, 4, 6, 10, -9, -2],\n [5, -8, 7, 3, -1, -1, -2, 2]], ... | 2294467710 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[12, -12, -7, -6, 6, -1, -12, -6],\n [6, 0, -1, -1, 9, 0, 1, 9],\n [-1, 7, -1, -7, -3, 7, 11, -4],\n [-11, -6, -4, 12, -1, -8, -12, 9],\n [2, -5, -12, 5, 0, -12, -8, 5],\n [3, -3, -9, -12, 10, -5, -8, -11],\n [11, 4,... | 1267070868 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, 2, 4, -4, 2, 4, -5, 0],\n [2, 2, 3, 0, 0, 4, -4, -6],\n [4, 3, -10, 4, -2, 2, 2, 3],\n [-4, 0, 4, -9, 6, -8, -2, 0],\n [2, 0, -2, 6, 0, -2, -6, -4],\n [4, 4, 2, -8, -2, 6, 6, -2],\n [-5, -4, 2, -2, -6, 6, 3, 4],\n [0, -6, 3, 0, -4, -2, 4, -10]], determine... | 52674593 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-2, -10, -3, 5, -12, 3, 3, -3],\n [-12, -9, -10, -8, -1, 12, -1, 0],\n [11, -1, 12, 3, 0, -8, 11, -9],\n [8, 2, -1, 6, 8, 6, 8, -2],\n [8, -7, -4, -12, -1, 1, -7, -12],\n [9, -11, 11, -2, -10, -3, -7, -7],\n [7, ... | 2043810 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 3) of the result:\nA =\n[[6, 4, -2, -1, 4, 7, 7, -3],\n [4, 2, 5, 4, 4, 6, -5, -6],\n [-2, 5, 0, -5, 6, 0, 6, 9],\n [-1, 4, -5, -10, 2, -3, -2, 2],\n [4, 4, 6, 2, 3, 0, -1, -2],\n [7, 6, 0, -3, 0, 1, 0, -4],\n [7, -5, 6, -2, -1, 0, ... | -109505 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[6, -4, 0, 0, 11, 3, 2, 6],\n [-4, -8, -6, -12, -2, 5, -7, 4],\n [0, -6, 5, 10, 6, 8, -2, -2],\n [0, -12, 10, 5, 4, -4, -2, 8],\n [11, -2, 6, 4, -1, 6, 5, -9],\n [3, 5, 8, -4, 6, 4, 6, 9],\n [2, -7, -2, -2, 5, 6, -7, -2],\n [6, 4, -2, 8, -9, 9, -2, -3]], determ... | 25591391762 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -7, 0, -4, -8, 6, 6, -3],\n [-7, 9, 2, -3, -6, -8, -4, -2],\n [0, 2, -7, -2, 8, 6, 0, -2],\n [-4, -3, -2, 2, -8, 7, 2, 5],\n [-8, -6, 8, -8, 12, 6, -6, -7],\n [6, -8, 6, 7, 6, 10, 6, -3],\n ... | 100875144392 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 8, -2, 5, -7, -8, 6, -2],\n [8, 6, 3, -2, -6, -2, 3, 0],\n [-2, 3, 2, 1, 6, -2, 3, 6],\n [5, -2, 1, 8, -4, -3, 7, -2],\n [-7, -6, 6, -4, -4, 2, -8, -7],\n [-8, -2, -2, -3, 2, 5, 4, -2],\n [6, 3, 3, 7, -8, 4, 8, 3... | 59551046175 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-10, 4, 7, 2, 8, 4, -5, -11],\n [4, 5, -8, -4, -4, -11, -11, 6],\n [10, -10, 4, 1, 1, 1, -7, -10],\n [-12, 3, -9, -12, 4, 5, -5, -11],\n [5, 3, -3, -5, -1, 9, 3, -1],\n [-2, 7, 6, -12, -10, -1, -4, 8],\n [9, -8, -12, -3, 4, -9, 2, 6],\n [-5, 10, 2, -6, 2, -5, ... | 1813973627 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[5, -9, 2, -2, 9, -10, 2, -10],\n [2, -7, -12, 1, 3, -12, 8, 4],\n [-5, 5, 3, -7, -3, -3, -8, -1],\n [7, 4, 1, 1, -10, -1, 7, 5],\n [-1, -11, -11, 4, -3, 5, 9, 6],\n [8, -12, 11, -9, 12, -9, -11, 6],\n [8, -1, -3, 0,... | 58686151 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 7) of the result:\nA =\n[[11, -5, 5, -4, -7, -9, 2, -8],\n [-8, -6, -4, -6, -4, 7, -3, -9],\n [-7, 11, 1, -4, -12, 4, 0, 11],\n [-6, -4, -2, -10, -1, 8, -10, 2],\n [8, -3, -12, 1, 7, -7, -11, 10],\n [-5, -12, -9, -9, -8, 7, -4, 10],... | -6122590 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-6, 1, 0, 5, 8, -4, 4, -2],\n [1, 11, -9, -4, 6, -2, 10, -8],\n [0, -9, 7, -2, 6, -1, 4, 2],\n [5, -4, -2, -12, 4, -8, 8, -2],\n [8, 6, 6, 4, 10, -4, -2, 0],\n [-4, -2, -1, -8, -4, 2, -4, -2],\n [4, 10, 4, 8, -2, -4, 0, 8],\n [-2, -8,... | 768718 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 0, 6, -2, 4, -2, 1, 6],\n [0, 5, -2, 5, -7, -5, -6, 1],\n [6, -2, 5, 2, 2, 9, -1, -4],\n [-2, 5, 2, -9, -2, 8, 0, 3],\n [4, -7, 2, -2, 10, 2, 7, -12],\n [-2, -5, 9, 8, 2, 1, -10, 0],\n [1,... | 2003618444 | MATH |
[
{
"content": "Find the value at position (7, 2) of the 5th power of the matrix:\n[[11, 11, 2, 3, 4, 4, -1, -3],\n [7, -7, -5, 0, -11, 6, 9, -3],\n [-9, -1, 5, -6, 7, 11, 11, 10],\n [12, -9, -6, -3, 2, -1, -12, 7],\n [5, 12, 3, -8, 6, -9, -7, 4],\n [-6, 11, 10, -6, -4, 0, 7, 1],\n [3, 10, -4, 2, -8, 5, 8, 7],\n ... | -432637 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-9, -2, -3, -10, -12, -1, 10, 2],\n [2, 8, 1, -6, 4, 11, 6, -6],\n [-10, -10, 12, 5, 7, 9, 1, -10],\n [-6, -6, -8, -10, 5, 2, 7, 1],\n [-9, 11, -5, 8, 0, 9, -5, 2],\n [4, -8, 7, -9, -2, 5, -3, 4],\n [2, -7, 10, 8, 3, 2, -5, -4],\n [-2, -11, 0, -9, -4, -8, 6, 9... | 3181484 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-10, 8, 1, -1, 0, -8, 5, -10],\n [8, 11, -8, -2, 8, 5, -2, 0],\n [1, -8, 11, -8, 6, 2, 4, 8],\n [-1, -2, -8, 3, 0, -4, -4, 4],\n [0, 8, 6, 0, -7, -8, 0, 4],\n [-8, 5, 2, -4, -8, 9, -6, 8],\n [5, -2, 4, -4, 0, -6, -6, -1],\n [-10, 0, 8... | 163795943 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 6, -9, -2, -2, 8, 2, -6],\n [6, -4, 4, 0, 4, -8, 6, 0],\n [-9, 4, -9, 2, 6, -2, -7, 6],\n [-2, 0, 2, -12, 11, 0, -2, 6],\n [-2, 4, 6, 11, 4, -2, -6, -4],\n [8, -8, -2, 0, -2, 8, 12, 2],\n [2... | 67324989091 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[7, 10, -2, 8, -1, -10, 4, -6],\n [9, -3, 10, 2, -11, 0, -9, 5],\n [11, 10, -12, -11, -11, -9, -10, 4],\n [1, -11, 3, -2, 12, 0, -12, 12],\n [10, -11, -11, 8, -8, -9, -1, -10],\n [7, -3, 7, 5, 8, 8, 8, -3],\n [-12... | -3579764 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, 11, 0, 6, 4, -12, -7, 6],\n [7, -12, -5, 4, 8, 9, 2, 5],\n [-6, 3, -6, 4, -9, -1, 0, -9],\n [8, -12, -12, -6, -4, -12, 3, 5],\n [9, 2, -7, -11, -4, -9, 0, 10],\n [9, -2, 0, -2, 6, -5, -6, 12],\n [3, -10, 4, 5, 2, 4, -2, -8],\n [3, 2, -3, 1, -11, 3, 6, -5]]... | 1030940556 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 4, 2, 6, 1, 2, 0, 1],\n [4, 0, -2, 4, 4, 4, 1, 0],\n [2, -2, -12, -1, 0, 0, 2, -2],\n [6, 4, -1, 1, 2, 2, -8, -1],\n [1, 4, 0, 2, -11, -9, 7, -4],\n [2, 4, 0, 2, -9, -7, 0, 6],\n [0, 1, 2, -8, 7, 0, 1, -3],\n [1, 0, -2, -1, -4, 6, -3, 12]], determine the su... | 10571629963 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[8, 5, -2, -2, 2, 0, -2, -1],\n [5, 10, 6, 4, 2, -3, -4, -2],\n [-2, 6, -6, 3, -3, 6, -1, 1],\n [-2, 4, 3, -6, 3, 3, 2, -6],\n [2, 2, -3, 3, -5, -1, -4, 8],\n [0, -3, 6, 3, -1, -5, 4, 1],\n [-2, -4, -1, 2, -4, 4, 2, 0],\n [-1, -2, 1, -6, 8, 1, 0, -2]], determin... | -247692 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (8, 5) of the result:\nA =\n[[-7, 11, 12, -12, 12, -11, 0, -12],\n [11, 11, -9, 11, 10, -11, 8, 7],\n [3, -10, 4, -8, -5, -1, 12, 10],\n [-1, -12, -12, 2, 4, -11, 4, 7],\n [-4, -1, -9, 0, -9, -6, 1, -4],\n [10, -12, -12, 7, -9, -12, 9, ... | 14217274 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 6th power of the matrix:\n[[-2, 11, -2, -3, -8, 0, -1, -3],\n [-6, 6, 6, 6, -1, 7, 9, 2],\n [-8, 11, 1, -1, 8, -2, -8, 3],\n [5, -1, -8, 3, -1, 10, -11, -7],\n [10, 8, 12, -9, 0, -3, 4, 1],\n [11, 2, -5, 10, 11, 5, -10, 12],\n [4, 11, 11, -6, 0, 3, -8, -9],... | -70417 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[7, 1, -8, 2, 2, -2, 0, 4],\n [1, 8, 8, -3, 7, 1, 4, -2],\n [-8, 8, -11, -6, -5, 6, -4, 4],\n [2, -3, -6, -8, -4, 8, -12, -7],\n [2, 7, -5, -4, 3, 0, -2, 8],\n [-2, 1, 6, 8, 0, 12, -6, 0],\n [0, 4, -4, -12, -2, -6, -8, 8],\n [4, -2, 4,... | -29516426 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[10, -8, -8, 0, 4, -3, -10, -6],\n [-8, -2, -2, -8, -2, 4, 0, -6],\n [-8, -2, 11, -8, 4, -2, 4, 7],\n [0, -8, -8, -8, -8, 6, 0, -1],\n [4, -2, 4, -8, -11, 4, -5, 7],\n [-3, 4, -2, 6, 4, 5, 2, -2],\n [-10, 0, 4, 0,... | 629554451 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-10, 6, -6, -2, 6, -10, 2, -12],\n [6, -12, -6, 0, -9, -6, -4, -6],\n [-6, -6, 10, -5, 3, -7, 0, -5],\n [-2, 0, -5, -10, -1, 2, -8, 5],\n [6, -9, 3, -1, 8, -1, 2, 6],\n [-10, -6, -7, 2, -1, 1, 10, 2],\n [2, -4, 0, -8... | 61036660382 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 6) of the result:\nA =\n[[-1, -10, 5, 11, -7, -6, -12, -7],\n [5, 0, 9, 6, -6, 6, -4, -10],\n [10, -1, 7, 11, 5, -5, -4, 0],\n [-5, 9, -3, 4, -6, 4, 10, 5],\n [11, -11, -10, 6, -12, 8, 8, -3],\n [8, 1, 0, -4, -7, -7, 6, 8],\n [-3, 1... | -9849764 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[1, 0, -8, 0, 5, -6, -9, -8],\n [0, 8, -4, -8, -2, 0, 7, -4],\n [-8, -4, 9, 6, 6, 3, -3, 0],\n [0, -8, 6, 1, 0, 8, -6, -9],\n [5, -2, 6, 0, 11, 8, -8, -2],\n [-6, 0, 3, 8, 8, 11, -12, 2],\n [-9, 7, -3, -6, -8, -12, -7, -5],\n [-8, -4, 0, -9, -2, 2, -5, -3]], de... | 29237295315 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[-3, -1, 5, 8, 8, -12, -10, -8],\n [12, 4, -5, 4, -4, -7, 4, -5],\n [8, -6, -6, 2, -6, 9, -5, -4],\n [2, -11, -6, 2, 5, 9, 5, -3],\n [9, 5, -12, -6, -10, 1, -1, 1],\n [-9, 0, 3, 3, 9, -8, 7, 12],\n [-7, -7, 5, -7, -6, 11, 11, 3],\n [-4... | 173681614 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-9, 7, 0, 2, 2, 1, -3, -4],\n [7, -12, 2, -10, -1, 4, 1, -1],\n [0, 2, 12, -6, 2, 2, 5, 6],\n [2, -10, -6, -8, -8, -6, 4, -6],\n [2, -1, 2, -8, 8, 0, 0, 6],\n [1, 4, 2, -6, 0, 7, 0, 3],\n [-3, 1, 5, 4, 0, 0, 1, -1],\n [-4, -1, 6, -6, 6, 3, -1, 5]], determine t... | 52519816828 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, 8, 0, -4, 3, -8, 6, 2],\n [8, 12, 4, -3, 12, 6, -4, 9],\n [0, 4, -2, -9, -2, -2, -10, 2],\n [-4, -3, -9, -3, -8, 2, 3, 6],\n [3, 12, -2, -8, 11, -8, -2, -4],\n [-8, 6, -2, 2, -8, -12, -2, ... | 139667700 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (8, 6) of the result:\nA =\n[[-3, -6, 3, 0, -2, -5, -7, -4],\n [-6, 5, 5, 0, 3, -4, 3, 7],\n [3, 5, 7, -3, -8, 2, 4, -3],\n [0, 0, -3, -2, 1, 11, 0, 6],\n [-2, 3, -8, 1, 7, 9, -4, -1],\n [-5, -4, 2, 11, 9, 1, -10, 8],\n [-7, 3, 4, 0, -4... | 5389855 | MATH |
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