messages listlengths 1 1 | ground_truth stringlengths 6 14 | dataset stringclasses 1
value |
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[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[11, 6, 4, 10, -4, 14, -6, -2, 7, 4],\n [-10, -4, 9, 10, -12, -10, -2, -1, -2, -13],\n [-13, 3, 13, -9, 4, -5, 6, -7, -10, -13],\n [-9, 3, 14, -7, -13, 8, 5, -11, 0, 9],\n [5, 9, -6, 9, 5, 6, -9, -6, -2, -10],\n [-1, -1, 3, -8, -9, 12, ... | -31448693382 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-13, -2, -2, 10, -3, -14, -5, 5, 9, -10],\n [-5, -8, 0, 12, 3, 5, -11, -14, 13, -7],\n [-4, -12, 13, 14, -3, -2, 5, 3, -3, -5],\n [6, 13, 6, 0, -12, 9, 0, 2, 14, 1],\n [-13, -14, 7, -11, 11, 2, -8, 10, -10, 8],\n... | 8966559255 | MATH |
[
{
"content": "Find the value at position (7, 4) of the 6th power of the matrix:\n[[0, 4, -6, 0, 5, -10, -9, 0, -1, -6],\n [4, 1, 4, -5, 0, 4, 10, 0, 2, -4],\n [-6, 4, -12, 10, 2, 6, -2, 1, 0, 6],\n [0, -5, 10, 5, -12, 6, -8, -2, 2, 2],\n [5, 0, 2, -12, -7, -6, 0, -6, 12, 1],\n [-10, 4, 6, 6, -6, 8, 8, -6, -5, 5... | 65711958 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, 4, 0, 8, -12, 2, -3, 6, 4, 0],\n [4, 11, 6, -10, 8, 0, -6, -12, -2, -3],\n [0, 6, 0, -4, 5, 2, 6, 0, -1, 4],\n [8, -10, -4, 5, 13, 2, 0, 2, 0, -5],\n [-12, 8, 5, 13, 1, 4, 0, 0, 2, -1],\n [2, 0, 2, 2, 4, -13, 2, -6, -4, 6],\n [-3, -6, 6, 0, 0, 2, -11, -2, ... | 2464739048 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-14, -8, -5, 0, -5, 7, -7, -3, -1, 7],\n [-8, -9, 5, 8, 0, -6, -6, -1, -11, -2],\n [-5, 5, -5, -6, 0, 1, -12, 8, -10, 0],\n [0, 8, -6, 7, 2, -8, -13, -10, -4, -3],\n [-5, 0, 0, 2, 9, -4, -3, -4, -12, 6],\n [7, -6, 1... | 19751703750803 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[12, 2, 0, 7, -8, 2, -4, -2, 6, 0],\n [2, 8, 4, 4, 0, 0, 3, 4, 7, 8],\n [0, 4, 6, 4, 4, 6, -3, 0, 8, 8],\n [7, 4, 4, 7, -2, 0, 8, -8, -2, -1],\n [-8, 0, 4, -2, 0, -2, 9, -1, 4, -2],\n [2, 0, 6, 0, -2, -5, -2, -4, -4, 1],\n [-4, 3, -3, 8, 9, -2, 8, 2, 8, -2],\n ... | 24002874 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[10, 12, -4, 3, 11, -5, -14, -11, 14, 2],\n [2, -10, 8, -12, -8, -10, -5, 12, 9, -8],\n [2, 14, 2, -8, -9, -6, -7, 14, -1, 7],\n [-9, -6, 13, 5, 10, -4, -4, -7, -12, -4],\n [-11, 8, -12, -2, 4, -7, 6, 13, 6, 9],\n [7, 6, -14, 6, -7, -6,... | -57852235995 | MATH |
[
{
"content": "What is the value at position (2, 5) of the matrix A^6 where A is:\n[[14, 0, 9, -8, 8, 11, 0, 4, 13, 12],\n [6, 2, -5, -4, -1, -11, -11, -14, -3, -8],\n [-10, -14, 6, 9, 11, -7, 14, 3, -2, 2],\n [-13, -9, 14, 6, -11, -7, 0, -10, 5, 14],\n [-4, -7, 13, 2, -6, 3, -1, 9, -6, -5],\n [9, 10, 5, 12, -13... | -28584407 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[1, -2, 7, 4, 6, 10, -10, 0, -2, 10],\n [-2, -8, 8, 3, 7, -2, 6, 4, 3, 3],\n [7, 8, -12, 4, -4, 0, 0, -4, 0, 12],\n [4, 3, 4, -7, 0, 1, 6, 9, 4, 0],\n [6, 7, -4, 0, 13, 2, -6, -7, -2, -10],\n [10, -2, 0, 1, 2, -8, 6, -10, -3, 3],\n [-10, 6, 0, 6, -6, 6, -13, 0,... | 312975141182 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[7, -4, 8, 2, -4, 4, 4, 4, -2, 4],\n [-4, 12, -2, -3, 0, 3, -4, 1, -9, -3],\n [8, -2, -4, 10, -2, 0, 10, -6, -12, -1],\n [2, -3, 10, -8, -7, 8, -12, -2, 4, 2],\n [-4, 0, -2, -7, -5, -3, -10, -8, 4, -2],\n [4, 3, 0, 8, -3, 11, -6, 0, -6... | 1813243709 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (10, 7) of the result:\nA =\n[[6, 1, -12, -8, -2, 2, 2, -7, 0, -4],\n [1, 7, 2, -2, -4, -8, 0, -9, -13, -2],\n [-12, 2, -11, 0, -10, -1, -2, 12, -2, 1],\n [-8, -2, 0, 6, 3, 4, 10, -10, 2, -5],\n [-2, -4, -10, 3, -4, 1, 3, -4, -4, -2],\n... | 10031996 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[14, 0, -6, -1, -2, -8, -4, -4, 7, 2],\n [0, -10, 3, 2, 0, -11, 12, -10, 1, -4],\n [-6, 3, -6, 2, -2, 7, -4, -7, 1, 8],\n [-1, 2, 2, -14, 3, -5, -2, 6, 2, 10],\n [-2, 0, -2, 3, 10, -1, 5, 7, 5, 14],\n [-8, -11, 7, -5, -1, -13, 7, 6, -1, 9],\n [-4, 12, -4, -2, 5... | -3303750433 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-8, -4, -2, 4, -9, -5, 2, -4, -8, 0],\n [-4, -3, -2, -8, -6, -4, 6, -4, 2, -3],\n [-2, -2, 11, 8, 9, 0, 4, 13, 13, -2],\n [4, -8, 8, -1, -4, -11, -13, -4, -6, -12],\n [-9, -6, 9, -4, 10, -4, 3, 6, -6, 4],\n [-5, -4, 0, -11, -4, 10, -8... | 11377856609 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[7, -10, -7, -12, -8, 0, 10, 8, 7, 2],\n [-10, -11, 14, -7, 0, -5, 2, -2, 4, -10],\n [-7, 14, -6, -2, 0, 4, 8, 6, -8, -8],\n [-12, -7, -2, -3, -4, -6, 4, 6, -6, 8],\n [-8, 0, 0, -4, -7, 10, 4, 5, 6, 10],\n [0, -5, 4, -6, 10, 14, -2, 2, -1, -9],\n [10, 2, 8, 4, ... | 556627707014 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[5, 14, -10, 1, 6, -3, 2, 10, 0, 10],\n [6, 11, 4, 9, -8, 6, -3, 2, -8, -4],\n [-14, 2, 10, 7, -8, -13, -4, 1, 0, -7],\n [0, -8, -10, -7, -13, -9, -11, -8, -9, 13],\n [7, -10, 12, -10, 3, -4, 8, 8, -7, 5],\n [-4, 12, 12, 14, 10, 11, 4,... | -225117335 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-10, -2, -6, 0, 2, 10, 3, 14, 1, -5],\n [-2, -8, 9, -2, 2, 2, -2, -12, 2, 0],\n [-6, 9, 6, -2, 8, 9, 4, -2, 4, 10],\n [0, -2, -2, -10, 6, -6, 2, 11, -6, 0],\n [2, 2, 8, 6, -10, 4, -6, 0, -5, 8],\n [10, 2, 9, -6, 4, 5, 1, -12, -2, -2],\n [3, -2, 4, 2, -6, 1, -1... | 843478169561 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[6, -13, 14, 9, 1, 5, -4, 5, -5, -7],\n [-8, -14, 8, -5, 4, -10, 9, 7, -7, 6],\n [11, -6, 14, -2, -1, 12, -9, -4, -6, -2],\n [-11, -13, 9, 6, -13, 7, -2, 4, -14, 13],\n [-9, 12, -7, 2, -12, -9, 11, 14, 4, -8],\n [0, -... | 13763352546 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-10, 9, -2, -9, -9, 4, -3, -2, -2, 7],\n [9, 14, -12, -10, -12, -4, 10, -10, -2, 4],\n [-2, -12, -2, 0, -11, 0, 8, -10, 10, -8],\n [-9, -10, 0, -13, 12, -8, -4, -1, -6, -2],\n [-9, -12, -11, 12, -12, 0, 6, 3, -12, -... | 59382373299538 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[8, 5, -11, 7, -14, 6, 1, -4, 4, -7],\n [-10, 8, 9, -7, 14, 3, 14, 0, 3, -2],\n [0, 11, 6, -2, -12, -3, -3, -5, -14, 9],\n [-9, 4, 9, -2, 12, -14, 4, 10, -9, -14],\n [10, 8, 2, 2, 6, -4, 5, -3, 9, -2],\n [3, 7, 9,... | 423295845430 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 3) of the result:\nA =\n[[13, 2, -10, 0, 8, 5, -6, -4, 4, 12],\n [2, -2, -9, -8, 8, 2, 10, -6, -2, 10],\n [-10, -9, -2, 6, -10, 7, 2, 4, -4, -1],\n [0, -8, 6, 6, -3, -6, 8, -7, -1, -5],\n [8, 8, -10, -3, 2, -14, 0, 1, -8, 8],\n [5, ... | 230502363727 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[8, -14, 8, -9, -10, 0, 1, 7, 12, -7],\n [14, 13, -9, -10, -9, 10, 13, -14, -1, 4],\n [4, 10, 0, 4, -9, 10, 11, -10, 11, 1],\n [12, -6, 10, 0, 7, -7, 10, 10, -7, 14],\n [-11, 9, -13, 1, -12, -6, 11, -11, -13, 4],\... | 93665012 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 8, 8, 0, -6, 11, -7, 7, -9],\n [6, 3, -9, -9, -3, -10, -1, -9, 6, 12],\n [13, 5, 4, -1, -14, 12, 5, 14, 10, 8],\n [-8, -8, -1, 5, 1, -3, 8, -4, 3, -3],\n [9, -5, 9, 10, -10, 11, 9, -13, ... | 5711061827 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[10, 8, -9, -2, 5, -1, 2, 10, 0, -2],\n [8, -12, -2, 2, 0, -3, -6, 2, 8, 13],\n [-9, -2, 7, 7, 13, -5, 8, -8, 6, 0],\n [-2, 2, 7, -2, -7, 6, -10, 4, -1, 2],\n [5, 0, 13, -7, 5, -6, 1, -1, 8, 6],\n [-1, -3, -5, 6, -6, -11, -9, 11, -4, 6... | 724285929545 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 2) of the result:\nA =\n[[-12, -8, 2, -1, -4, -4, -10, 4, -4, -1],\n [-8, 10, 0, 0, 4, 12, -2, 0, -13, -3],\n [2, 0, -10, -6, -12, -4, -5, 9, 14, 4],\n [-1, 0, -6, -7, -10, -7, 0, 10, 0, -11],\n [-4, 4, -12, -10, 0, 3, 4, 8, 7, 1],\... | -3743336848 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, 9, 9, 11, -12, -13, -3, -11, -10, 1],\n [-13, 12, 9, 9, -2, 13, -11, 13, -10, 12],\n [-3, 0, -10, -10, 1, 10, -6, 0, 12, -11],\n [2, 9, 12, -14, 1, 8, 13, 14, 5, 2],\n [-11, 8, -2, -7, 3, -2, -6, -10, -4, 13],\n [-1, 9, 3, 3, 5, 1, -11, 4, -10, -13],\n [2,... | 197528179866 | MATH |
[
{
"content": "What is the value at position (9, 6) of the matrix A^7 where A is:\n[[-10, -10, 4, 11, 6, -10, 9, -4, -13, 0],\n [-1, -1, -7, 5, 10, -7, -10, -10, 10, 14],\n [-1, -10, 14, -6, 7, 12, -4, 2, 12, -3],\n [-3, 9, 1, -14, 3, -9, -10, 3, -2, -9],\n [-8, -12, -4, -7, -11, -5, -6, 8, -2, 4],\n [0, -10, 10... | -605126567 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[-13, -9, -9, -14, -8, -3, 6, 8, -3, 5],\n [6, 8, -9, -1, 2, 2, 3, -2, -2, 12],\n [-4, -12, 2, 11, -13, 13, -13, -8, 12, 14],\n [13, 7, 10, -5, -1, 6, 4, 2, 1, 2],\n [3, 14, 12, -4, 4, -4, -5, -1, -1, -5],\n... | -474575493 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, 0, 2, -7, -1, 8, 4, 0, 12, 2],\n [0, 5, -2, -10, 13, 8, -4, 8, -1, 0],\n [2, -2, 7, 2, 6, 6, -6, 2, -4, 2],\n [-7, -10, 2, -11, -2, 1, -2, 4, 0, -6],\n [-1, 13, 6, -2, 9, 6, 8, -1, 2, -1],\n [8, 8, 6, 1, 6, 11, -8, -6, -5, 3],\n [4,... | 2786809489 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[0, 1, -6, 6, 6, 5, 4, 9, 8, -6],\n [-9, -14, -10, -10, 8, 11, -14, -14, 14, 7],\n [-9, -6, 4, 13, -10, 6, 2, 7, 5, -3],\n [-9, 14, -2, 9, -7, 14, -12, 10, -4, 14],\n [5, -14, 10, -1, 14, 6, 14, 9, -2, 0],\n [8, 6, -7, 0, -2, -14, -4, 5... | -3443275398606 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -6, -6, 3, 0, 1, 1, -2, -2, 6],\n [-6, 7, -4, -11, 2, 2, -1, -2, -2, -6],\n [-6, -4, -1, 1, 0, -4, -8, 2, 4, 6],\n [3, -11, 1, -13, 0, 11, 4, 9, -4, -3],\n [0, 2, 0, 0, -12, -2, -4, -2, 12,... | 16478354878423 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[1, 12, 8, 9, -13, 5, -8, -4, -9, -13],\n [-1, -11, 4, 10, 7, 14, 13, -13, -13, -2],\n [-2, -12, 6, 13, -9, 6, 13, 2, 14, -14],\n [-8, 11, -8, -2, 11, 7, -6, 3, -14, -4],\n [7, 7, 10, -4, -5, 2, 12, 2, -3, 13],\n [-5, -3, -9, 6, 12, -9,... | 13771674658 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-2, 6, 6, 13, 4, -3, -3, 10, 6, 13],\n [-13, 6, -6, 9, 7, 10, 8, -13, -14, -1],\n [-2, -12, 12, 5, 10, -10, -13, 11, 6, 14],\n [3, -6, 7, 13, 13, -3, -10, 3, 8, 8],\n [-13, -5, 7, -5, 11, -12, 9, -1, -10, 9],\n [8, ... | 10267780494 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, 2, 0, 2, -6, -6, -2, -5, 0, 10],\n [2, -8, 10, 13, 2, -2, 6, -8, 0, 8],\n [0, 10, -13, 2, -6, 2, 7, 2, 11, -8],\n [2, 13, 2, -8, 4, -4, 8, 1, -8, -12],\n [-6, 2, -6, 4, -7, 2, 6, -2, -8, 0],\n [-6, -2, 2, -4, 2,... | 391242354589 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 0, -4, 6, 4, 12, -4, -5, 4, -9],\n [0, -7, 2, 6, 2, -6, 0, -2, -4, 2],\n [-4, 2, 3, -8, 1, -5, 6, 1, 10, -2],\n [6, 6, -8, 7, -2, 8, 0, 2, 5, -4],\n [4, 2, 1, -2, 2, 2, -8, 0, -4, -3],\n [12, -6, -5, 8, 2, 10, 10, -8, 0, 14],\n [-4, 0, 6, 0, -8, 10, -12, ... | 3771581738 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (10, 7) of the result:\nA =\n[[-2, 5, -6, 2, 2, 7, -6, -1, 2, 12],\n [5, -3, -4, -1, 3, 4, -12, -4, 4, -13],\n [-6, -4, 13, -3, 8, 0, -9, 0, 5, 6],\n [2, -1, -3, -7, 0, 6, -4, -2, -3, 1],\n [2, 3, 8, 0, -9, 8, 0, -4, 2, 3],\n [7, 4, 0, ... | 139597072996 | MATH |
[
{
"content": "What is the value at position (6, 9) of the matrix A^8 where A is:\n[[13, 6, -3, -13, 9, -5, -9, -3, -3, 2],\n [3, -11, -12, 10, 2, 8, -6, 10, 7, -3],\n [14, -8, 1, -7, -12, 6, -2, 5, -6, -6],\n [-11, 13, -1, 3, -14, 4, -13, -10, 7, -1],\n [-6, 5, 5, 0, 5, -14, 4, -11, -1, -14],\n [-10, -5, -6, 2,... | 59007042509 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-6, 4, 8, 10, 5, 4, -2, 8, 1, -9],\n [4, -5, 8, 12, 4, 2, 8, -6, 9, -11],\n [8, 8, 0, -9, -10, -1, 0, 2, -2, -4],\n [10, 12, -9, 6, -2, 9, 2, -4, -12, -10],\n [5, 4, -10, -2, 7, 4, -6, -9, -1, 0],\n [4, 2, -1, 9, 4, -6, 6, 4, -2, 1],\n [-2, 8, 0, 2, -6, 6, 3, ... | 6328622494421 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[3, 7, 0, 6, -10, 0, 12, -9, -5, 8],\n [5, 0, 5, 13, -6, -11, -7, 11, -2, 2],\n [-11, -13, 12, 11, -10, -13, 1, 8, 11, 8],\n [0, 10, 14, -11, 0, -10, -12, -1, -8, 0],\n [-10, -6, 13, -2, -8, -11, -8, -14, 0, 0],\n [3... | 104347964323 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 7th power of the matrix:\n[[9, 0, 2, -2, -12, 0, -7, -8, 10, -10],\n [0, 13, -10, 4, 2, -9, 2, -2, 4, -10],\n [2, -10, 12, -8, -5, 2, -1, 5, 6, -10],\n [-2, 4, -8, -14, 0, 1, 2, -10, 11, 8],\n [-12, 2, -5, 0, 12, 6, -7, 0, -10, -8],\n [0, -9, 2, 1, 6, -3, -... | 1544370122 | MATH |
[
{
"content": "Find the value at position (7, 6) of the 6th power of the matrix:\n[[-4, -12, 2, -6, -1, -13, -1, -12, -13, 7],\n [7, 14, -14, -11, -5, 0, 6, -3, -9, 6],\n [-12, -12, 4, 7, 5, -11, 4, -1, -11, -7],\n [4, 11, 4, 7, -14, 11, 7, 0, -4, -6],\n [-12, 3, 4, 1, 1, 13, -12, 3, -2, 12],\n [5, -7, -8, 11, 1... | -17373962 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-6, -8, -6, 14, -3, -5, -5, -2, -10, 12],\n [7, -7, -5, -9, -4, -11, -13, -9, -2, 14],\n [-3, -1, 10, -7, -12, -10, 7, -8, 3, -9],\n [3, -7, -8, -13, -11, 8, -6, 1, 4, -5],\n [11, -7, 14, 1, 10, 14, -7, 5, -11, 12],... | 4643297233962 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, -12, -10, 1, 4, -10, -5, 0, -10, 8],\n [-12, 7, -4, 4, -10, -8, -4, -12, -10, -10],\n [-10, -4, -1, 2, 14, -2, -8, -3, 8, -5],\n [1, 4, 2, -3, 1, 2, 6, 6, -4, 0],\n [4, -10, 14, 1, 6, 11, -2, 5, 2, 2],\n [-10, -8, -2, 2, 11, -13, -2, 1, 0, 0],\n [-5, -4, -... | 930720824161 | MATH |
[
{
"content": "What is the value at position (10, 4) of the matrix A^8 where A is:\n[[6, 5, 3, 0, 1, 13, -3, -7, 10, -9],\n [9, 3, -4, -9, 2, -5, 4, 0, 1, 8],\n [13, 14, 14, 2, 7, -8, 4, 12, -7, -7],\n [-10, -4, -13, 3, 6, -11, -3, -11, -10, 2],\n [8, 4, -5, -1, 0, 11, -1, 1, -7, -6],\n [-7, -4, -3, -1, 3, 8, -3... | 16108233315 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^8 where A is:\n[[-10, 6, 10, -9, 4, 13, -10, -14, 10, -5],\n [-1, 11, 12, 8, 2, 12, -4, -11, 3, 4],\n [-11, -3, -1, 3, 11, -14, 12, 5, 10, -4],\n [12, 10, 13, 10, 4, -14, -14, -12, 11, -1],\n [-7, 0, -11, -4, -7, -8, 9, -13, -7, 10],\n [11, 12, ... | -185468849594 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (3, 5) of the result:\nA =\n[[-10, 3, -9, -12, -9, 1, -12, 3, 9, -11],\n [-10, -6, -11, 14, -14, 12, 7, 12, -4, -10],\n [-5, -12, 0, 12, 12, -1, -10, -7, 2, 5],\n [4, -11, -13, -13, -13, -12, 13, -6, -10, 5],\n [14, 0, -11, -12, -6, 12,... | 166470478398 | MATH |
[
{
"content": "Find the value at position (5, 9) of the 6th power of the matrix:\n[[12, -2, 4, -7, 0, 0, 8, 9, 10, -9],\n [-2, 7, -4, -1, -10, 6, 2, 6, -4, -12],\n [4, -4, 7, -4, -10, -4, 0, 11, 4, -2],\n [-7, -1, -4, 13, -3, 4, -8, -4, 10, 2],\n [0, -10, -10, -3, 13, -1, -4, 0, 2, 2],\n [0, 6, -4, 4, -1, -10, -... | 141092339 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[13, 7, -3, 4, -2, 4, 5, 10, 6, 0],\n [7, 1, 1, 2, -12, -9, 6, 1, -10, 1],\n [-3, 1, -5, -4, 6, -8, 6, 7, -10, -10],\n [4, 2, -4, -9, 0, 10, 0, 2, -8, -2],\n [-2, -12, 6, 0, 11, -6, 0, 0, 6, -3],\n [4, -9, -8, 10, -6, 9, 4, 5, -4, 0],\n... | 1377642978835 | MATH |
[
{
"content": "What is the value at position (5, 7) of the matrix A^6 where A is:\n[[5, 13, 6, -12, 1, 8, -2, -2, 10, -3],\n [13, -6, 4, 0, -6, 4, -5, -2, 2, 2],\n [6, 4, 11, 0, -1, -1, 10, -8, 4, -6],\n [-12, 0, 0, -1, 6, -10, -5, -7, -8, -6],\n [1, -6, -1, 6, -14, -7, 1, -9, 0, -6],\n [8, 4, -1, -10, -7, 9, 0,... | -61719894 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 8) of the result:\nA =\n[[-4, 6, -1, 3, -7, 8, 1, -2, -2, 10],\n [6, 11, -2, 4, 1, -4, 7, -6, 7, 9],\n [-1, -2, -6, -2, -2, 0, -2, -4, -8, 0],\n [3, 4, -2, 12, 0, 1, -13, -8, -8, 6],\n [-7, 1, -2, 0, -2, -2, -2, -13, 8, 5],\n [8, -4... | -3519657178 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (10, 10) of the result:\nA =\n[[-2, -6, -2, 1, -4, 1, 0, -2, 10, -1],\n [-6, 2, -1, -3, 10, 6, -3, -13, -4, 10],\n [-2, -1, -1, 6, -3, -4, -5, -4, 4, 8],\n [1, -3, 6, 14, 2, 4, 0, -2, 2, 8],\n [-4, 10, -3, 2, -3, 3, 6, 4, -10, 3],\n [1,... | 232716588 | MATH |
[
{
"content": "What is the value at position (2, 7) of the matrix A^6 where A is:\n[[-1, 10, 4, -4, 2, 2, 2, 0, 4, -8],\n [10, -8, 12, -4, 2, -12, -9, -2, 2, -2],\n [4, 12, 2, -6, 7, -2, 0, -10, 0, -2],\n [-4, -4, -6, 2, 2, 5, -2, 2, -6, 2],\n [2, 2, 7, 2, -4, 8, -2, -7, -10, 2],\n [2, -12, -2, 5, 8, 6, -4, -11,... | 76926837 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[2, -12, 8, -1, -4, 12, -6, 2, -2, 6],\n [-12, 14, -4, 8, 8, -11, 7, -1, -6, 6],\n [8, -4, 0, 0, 3, -4, -2, 4, -12, -1],\n [-1, 8, 0, -12, 6, -4, 0, 0, 0, 11],\n [-4, 8, 3, 6, 8, 4, -3, 4, 3, -6],\n [12, -11, -4, -4, 4, 8, -12, 6, -6, 2... | 1405287024 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[14, -12, 13, -8, 0, -14, 9, 4, -10, 11],\n [12, 6, 7, -8, -4, -14, 7, -13, -1, -5],\n [-12, -1, -10, 2, -8, -14, 9, -4, 13, -9],\n [1, 12, -1, 2, 0, -1, -8, -5, 4, -8],\n [0, 12, 9, 11, -1, 0, 4, 6, 11, 1],\n [-13, -13, -14, 1, 4, -11, -12, -4, 9, 2],\n [-10, ... | 404425588812 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, -1, 1, 4, 13, -11, -12, -2, -6, -2],\n [14, -3, 11, 6, 0, -12, -12, 12, -13, 11],\n [-9, 10, 1, 8, 3, -6, -12, 8, 11, 8],\n [1, -11, -1, -11, 13, 3, 3, 3, 13, 12],\n [6, -12, 11, -8, -2, -8, 7, -2, 9, 12],\n [-11, 1, 10, 13, 13, 0, -2, -5, -5, -10],\n [-11... | 2268583638 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[6, 7, -2, 10, -8, -7, -1, -1, 2, 4],\n [7, -10, 0, 5, -5, 7, 7, -7, 4, -8],\n [-2, 0, -8, 4, 12, -2, 3, -6, 12, 5],\n [10, 5, 4, -3, 14, 1, 4, 0, 4, 0],\n [-8, -5, 12, 14, 14, -4, 1, 14, 0, 4],\n [-7, 7, -2, 1, -4, -13, -4, 1, 10, -6]... | 4579449671739 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, 4, 9, -14, -14, -6, 8, 10, -12, -12],\n [3, -13, -4, -6, -13, 5, 12, -11, -6, -1],\n [4, 1, 11, -1, 0, 3, 13, 0, 4, -6],\n [6, 6, 1, 8, 2, -5, -10, -6, -1, 7],\n [13, 9, -5, 9, -14, 9, 7, 5, -12, 1],\n [-10, -2... | 5923000534 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (3, 8) of the result:\nA =\n[[-4, 5, -9, -9, 9, -7, -14, -6, -5, 2],\n [-12, 8, 6, 7, -2, -7, 5, -1, 5, -7],\n [4, -2, -9, -11, -9, 5, -13, -5, -4, -4],\n [-12, -4, -7, 14, 2, 12, 11, 7, 10, -14],\n [1, 14, 5, -8, 7, 7, 10, -7, -2, 14],... | 79342090 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-10, -7, 12, -7, -12, 4, 1, -5, 8, -12],\n [-6, -7, -7, 10, -7, 5, -8, -1, 7, 2],\n [-3, -10, -13, 10, 0, -4, 0, -2, 4, -3],\n [0, -3, 8, 3, 8, 14, -11, -4, 7, 0],\n [10, 9, 10, -10, -10, 5, 10, -5, 9, 7],\n [-5, 7, -9, -9, 8, -9, 9, -8, 3, 11],\n [-11, -1, -4... | 4334272826201 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, -2, 0, 4, -2, 10, -10, 3, -12, -12],\n [-2, 14, -6, -1, 12, -4, 12, -10, 13, 8],\n [0, -6, 8, 2, 3, -10, -13, 4, 12, -3],\n [4, -1, 2, -8, 0, -2, 7, -6, 4, -7],\n [-2, 12, 3, 0, -14, -2, 12, -13, 2, -13],\n [10, -4, -10, -2, -2, -8, 4, 4, -2, 0],\n [-10, 12... | 4510947418588 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (4, 6) of the result:\nA =\n[[7, 3, 2, 5, 4, 8, 8, 13, -1, 11],\n [12, -8, -6, 10, 5, -6, 0, -4, -8, -9],\n [12, -6, -11, 2, -9, 14, 2, 11, 10, -1],\n [-10, 3, 13, -7, -5, -4, 7, 14, -12, 12],\n [-13, 11, 12, -1, -11, 2, 2, 6, 11, -6],\... | -153993821 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[9, 4, -4, -2, 12, -2, -9, 5, -4, 6],\n [4, -13, 0, 0, 0, 5, -3, 8, 10, -11],\n [-4, 0, -1, 3, -6, -8, 2, 4, 10, 5],\n [-2, 0, 3, -3, 10, -3, -2, 6, -2, -10],\n [12, 0, -6, 10, 2, -4, -6, 0, 2, 2],\n [-2, 5, -8, -... | 491684770215 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^8 where A is:\n[[14, -11, 3, 4, 9, 13, -7, -1, -14, -13],\n [5, 12, 14, 7, -12, 1, 8, -12, 9, -9],\n [-7, 8, -3, -10, -10, -12, -11, 9, -10, 14],\n [10, -12, -5, 4, 9, -7, 13, 8, -9, 8],\n [-8, -9, -2, -2, 10, 6, -10, -9, -5, 12],\n [14, 5, 11, ... | -153198168315 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[7, 1, -2, -2, 8, -11, 6, 4, -8, 0],\n [1, 1, 6, 0, -13, -6, -6, 0, -13, -4],\n [-2, 6, -3, -4, 10, 6, -6, -4, 7, -6],\n [-2, 0, -4, 4, 12, 8, 3, -8, 8, -4],\n [8, -13, 10, 12, 12, -2, 2, -1, -6, 6],\n [-11, -6, 6, 8, -2, -4, 2, 0, 4, -4],\n [6, -6, -6, 3, 2, 2... | 1514716405 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[11, -5, -2, 10, 7, 10, -1, 3, 6, -4],\n [-5, 7, 4, 4, 6, 10, 0, -9, 2, 4],\n [-2, 4, -3, -2, -2, -1, 6, -9, 0, 7],\n [10, 4, -2, 4, -12, 10, 6, 2, -4, -6],\n [7, 6, -2, -12, 11, 5, 4, 1, -2, 0],\n [10, 10, -1, 10... | 5269303800 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[5, -2, -4, -6, -6, 5, 8, 4, 0, -11],\n [-2, -8, -2, 4, -4, 4, -2, 4, 11, 4],\n [-4, -2, -8, -1, 6, 4, -6, -3, 2, -2],\n [-6, 4, -1, -2, -8, 11, 2, 2, 6, -2],\n [-6, -4, 6, -8, 10, -6, 3, 1, -3, -2],\n [5, 4, 4, 11, ... | 178156858260 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-3, 6, 7, 8, 3, 9, 4, -4, 2, 4],\n [6, 0, -5, 6, 2, 6, -8, 1, 2, 2],\n [7, -5, -9, -12, 4, -12, -6, 2, 1, 0],\n [8, 6, -12, -9, 8, -3, 0, -2, 4, 6],\n [3, 2, 4, 8, -6, -1, 1, 2, 2, 4],\n [9, 6, -12, -3, -1, -10, -10, 0, 6, 8],\n [4, -... | 4715527583186 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-1, 6, -6, 0, 8, -8, 4, 1, 3, -2],\n [6, -2, 2, -6, -8, -7, 0, 0, -6, 4],\n [-6, 2, -9, 2, -10, 4, -4, 0, -2, 0],\n [0, -6, 2, 5, 13, 3, -6, 1, 4, -6],\n [8, -8, -10, 13, -1, 4, 6, -5, -4, -8],\n [-8, -7, 4, 3, 4, 13, 0, -4, -6, -12],\... | -4209247840 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-13, -6, 2, 1, 0, 9, -5, -6, 0, 1],\n [-6, 2, 8, 1, -1, 1, -1, -4, -10, -5],\n [2, 8, -4, -4, 6, 5, 4, 4, 6, -5],\n [1, 1, -4, 7, -8, 10, 6, -6, 9, 10],\n [0, -1, 6, -8, -13, 2, -5, 4, -6, 6],\n [9, 1, 5, 10, 2, -3, -6, -10, 12, -8],\n... | 1919785623 | MATH |
[
{
"content": "Find the value at position (1, 10) of the 6th power of the matrix:\n[[10, 10, 9, 4, -8, 5, 9, 8, -3, -6],\n [-7, 4, 6, -12, -4, -3, 10, 2, -8, 10],\n [-12, -8, -8, 12, -1, -13, 1, 6, -5, -1],\n [14, -8, -13, 11, -5, -13, 12, -2, 7, -13],\n [-5, -1, 2, 4, -3, 2, -9, -11, -13, 14],\n [0, 13, 8, 8, 9... | -32757539 | MATH |
[
{
"content": "What is the value at position (1, 7) of the matrix A^7 where A is:\n[[5, 13, 6, 6, 13, 3, 14, -12, -2, -5],\n [2, -12, 6, -6, 2, 1, -9, 13, 3, 13],\n [-9, 11, -9, 2, 6, -5, -13, -14, -4, 10],\n [-9, -14, 1, 11, -6, -3, -6, -2, -8, 10],\n [-14, 14, -12, 9, -12, 9, 4, -11, 14, 13],\n [-3, -11, 6, -5... | -6777591164 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-12, -10, 3, 13, 0, 12, -3, 4, -8, -14],\n [9, 6, -13, 4, -2, 5, 3, -5, -2, -10],\n [8, -2, -6, -14, 11, 14, 7, -9, -14, 3],\n [12, 1, -7, -9, -2, 2, 11, -2, -5, 12],\n [-9, 11, 8, 3, 12, 5, 8, -2, 12, 0],\n [-9,... | -520963452990 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[8, 13, -9, -11, -7, -1, 14, 1, 0, -2],\n [-3, -8, 0, -9, 6, 6, -1, 12, 0, 8],\n [-4, 7, -11, 8, -10, 8, 8, 12, -13, 13],\n [5, 0, -5, -11, 14, 8, -7, -4, 2, -8],\n [-4, 7, -5, -14, -7, -10, -2, -8, 9, 8],\n [-4, -3, -1, -3, 11, 13, 14, -14, -9, 12],\n [-4, -4,... | 44211077 | MATH |
[
{
"content": "Find the value at position (5, 8) of the 6th power of the matrix:\n[[-7, -9, 9, -8, -13, 2, 3, 5, 10, 4],\n [-9, -1, 2, -8, -5, 4, -4, 3, 12, -14],\n [9, 2, 3, -8, -2, 8, -8, -2, 3, -4],\n [-8, -8, -8, 10, 8, -10, 9, -4, 2, -3],\n [-13, -5, -2, 8, 1, -3, 8, -10, -3, -10],\n [2, 4, 8, -10, -3, 14, ... | -861590132 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-4, 12, 9, -7, -14, 13, -8, -2, 5, -9],\n [-11, -3, -10, -10, 2, -9, -5, 1, 9, 14],\n [6, -1, -5, 14, 13, 7, 6, 2, -10, -13],\n [-11, 3, -7, -1, -2, 14, -8, -6, -11, -10],\n [0, -6, 10, 3, 13, 12, -1, 0, -14, 4],\n [11, -14, -9, -7, -11, 1, -4, -11, -4, -5],\n... | 90693897699 | MATH |
[
{
"content": "Find the value at position (5, 10) of the 8th power of the matrix:\n[[2, -8, 0, 4, 12, -6, 6, 6, -10, 10],\n [14, -5, -2, -14, 6, 11, -9, 10, -12, 2],\n [-3, 12, -4, -7, 10, -3, -4, 7, -10, 13],\n [-7, -3, 7, -9, -6, 10, 2, 13, -13, -14],\n [3, -12, 14, -1, -2, -13, 7, -11, 0, -10],\n [-5, -6, 3, ... | 5040567552 | MATH |
[
{
"content": "What is the value at position (10, 2) of the matrix A^6 where A is:\n[[-14, -2, 6, 2, 3, -10, -12, 4, -10, -5],\n [-2, -6, 9, -4, 0, 1, 0, 0, 4, 2],\n [6, 9, -7, -12, 10, 2, -1, 5, 8, 2],\n [2, -4, -12, -9, 4, -5, 7, -1, 2, 2],\n [3, 0, 10, 4, -10, 6, -12, 0, -3, -8],\n [-10, 1, 2, -5, 6, 4, 2, 7,... | 35072043 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-9, 8, -14, -1, -5, -11, 3, 8, 4, 10],\n [-7, -3, -5, -2, -8, 9, 2, 11, -3, -9],\n [8, -8, -2, -1, 10, 8, 13, 8, -2, -9],\n [4, -2, 7, -6, -4, -5, -12, 4, 12, -8],\n [8, -10, 9, 9, 12, 12, 0, -13, -4, -9],\n [-10, 5,... | 4249092238 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, 4, -14, -14, -4, 3, 11, 7, -13, -9],\n [1, 12, -14, -6, 13, 0, 1, -1, -8, -14],\n [1, -6, 14, 10, -4, -5, -4, -9, -13, 3],\n [-3, -1, -7, 10, -11, 3, 6, -2, 8, -1],\n [5, 13, 10, 13, 0, 5, 9, 4, 13, -1],\n [-3, 7, 0, -9, 4, -13, -9, 8, 8, 11],\n [-4, -14, ... | -18143307 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, 2, -8, -8, -6, 1, 2, 6, 10, 0],\n [2, 6, -6, 4, 6, -3, -5, -9, 0, -4],\n [-8, -6, 14, 7, -9, 0, -5, -4, -4, 2],\n [-8, 4, 7, -5, 0, 7, 12, -6, -7, -6],\n [-6, 6, -9, 0, 8, -1, -8, -10, -1, -6],\n [1, -3, 0, 7, -1, 12, -4, 3, -8, 2],\n [2, -5, -5, 12, -8, ... | 791883695 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, -2, 1, -6, 6, -13, -13, -10, -10, -10],\n [-1, -9, 13, 1, 1, -7, 12, -10, -2, -12],\n [-6, -11, 13, -7, 1, 10, -4, 8, 4, -5],\n [12, 7, -8, -3, 8, -7, -5, -10, -10, -2],\n [-13, -3, -4, -13, 0, 5, -8, -7, -12, 2]... | 737613578003 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[1, 6, -3, 3, -1, 11, 6, -3, -10, 8],\n [-11, 3, 9, 2, 1, -5, 2, -3, -3, 12],\n [13, 8, -11, -12, -14, -3, 14, -7, -7, -3],\n [-11, 1, -13, -11, 8, -11, 14, -4, 12, -12],\n [-5, -3, 2, -6, 6, -13, 7, 3, -3, -9],\n... | 1970690314 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 3) of the result:\nA =\n[[7, -8, 10, -10, 6, -12, -3, 4, -6, -12],\n [-12, 1, 10, 5, -2, -9, -14, -4, 3, 12],\n [-12, 3, -4, 11, 0, -12, -3, 6, -3, 2],\n [-14, -4, 8, 10, 0, -6, -8, -4, 12, 14],\n [3, 12, 8, 14, 13, 10, -8, 3, 0, 1]... | -6484458740 | MATH |
[
{
"content": "Find the value at position (2, 5) of the 8th power of the matrix:\n[[1, -6, -12, 11, -2, 14, -13, 11, 3, -13],\n [-7, -12, 2, 9, -13, -9, -7, 11, 10, 2],\n [10, 9, -9, -3, 6, 1, -9, -13, 12, -12],\n [-6, 4, 14, -5, 8, 12, 14, -2, 5, 13],\n [12, -2, 10, 13, 14, 5, 11, 0, -2, -2],\n [11, -9, 13, 3, ... | 221584135468 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[10, -8, -4, 0, 4, 1, 3, 1, -1, -1],\n [-8, -7, -2, -1, -6, 0, -6, 2, 0, 0],\n [-4, -2, 14, -6, 2, -5, -2, 11, -3, 6],\n [0, -1, -6, -12, 10, -10, -8, -4, -3, 2],\n [4, -6, 2, 10, -12, 6, 0, 8, -4, -8],\n [1, 0, -5, -10, 6, 9, 2, -10, -3, -6],\n [3, -6, -2, -8,... | 342570274485 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-11, 10, 2, 1, -8, -13, -10, -14, 7, -2],\n [-3, 4, 14, 7, -7, -7, -3, -11, -8, 13],\n [1, 7, 3, -9, 3, 14, -11, 6, -6, -2],\n [4, -3, 1, -10, -13, -12, -2, 6, -8, -2],\n [1, 7, -1, 3, -2, -1, -6, -7, 10, 10],\n ... | 522369885 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 7) of the result:\nA =\n[[-2, -6, -5, 8, -7, 0, 6, -5, -1, 0],\n [-6, 14, -2, -10, 0, 4, 0, -2, 2, 7],\n [-5, -2, 11, -4, 10, 8, 0, -3, 1, 0],\n [8, -10, -4, 4, 6, -6, 0, -4, 0, 6],\n [-7, 0, 10, 6, 5, 4, -3, 0, -4, 2],\n [0, 4, 8, ... | -8140172796 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-13, -9, 13, 11, 13, 13, 12, 8, 10, 6],\n [-9, 10, 11, -9, -1, -4, 13, 2, -11, -11],\n [4, 9, 7, 8, 1, 10, -7, 4, 5, -14],\n [-11, -3, 10, 6, 4, -13, -9, 5, 7, -12],\n [-12, -14, -6, -8, -6, 12, -14, -7, 3, -12],\n [2, -8, 13, -4, -10,... | 713026755 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[8, -7, -1, 1, -9, 3, -7, 4, -11, -11],\n [-8, -7, -6, -14, 2, 13, -8, 5, -5, 9],\n [6, -14, 3, 11, -1, 4, 3, 10, -2, -8],\n [-13, -8, 13, 13, -5, 2, 6, -10, -6, -11],\n [5, 7, 0, -1, 12, 3, -5, 1, 7, 8],\n [5, -5, -6, 1, -10, 4, 10, -14, 9, -14],\n [11, 9, -10... | 33909777950 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-2, 7, -6, 12, 5, 5, -5, 2, -5, -2],\n [7, -7, 10, 7, 6, -5, 0, 6, -7, 0],\n [-6, 10, -5, 8, 2, 11, -2, -9, -4, -7],\n [12, 7, 8, -14, -2, -6, 1, 0, 0, -8],\n [5, 6, 2, -2, -13, -2, 8, 2, -4, -1],\n [5, -5, 11, -6, -2, -10, 0, 0, 6, 7... | 197792746250 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[1, 0, 0, 8, 8, 7, 7, -2, 6, -8],\n [0, -1, 2, 10, 6, 10, 2, 4, 0, -2],\n [0, 2, 12, 2, 3, 11, -10, -12, 6, 6],\n [8, 10, 2, -13, 0, 8, 7, -6, 2, 3],\n [8, 6, 3, 0, -5, 3, 4, 6, 6, 2],\n [7, 10, 11, 8, 3, 9, -6, -4, 0, 6],\n [7, 2, -10, 7, 4, -6, -12, 2, -2, -1... | 11409015871 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, 10, -1, 0, 2, 5, 2, -4, 2, 6],\n [10, -14, 4, -4, 2, -2, -7, 10, 2, 3],\n [-1, 4, -3, 12, -2, 4, -8, -8, 4, 2],\n [0, -4, 12, 12, -4, -10, 2, 4, -4, -3],\n [2, 2, -2, -4, 11, -9, -5, -3, -6, -3],\n [5, -2, 4, -10, -9, 6, 2, 10, -1, 0],\n [2, -7, -8, 2, -5,... | 384382637021 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 7th power of the matrix:\n[[13, -3, -5, 1, 4, -2, 6, 14, 2, 10],\n [-3, 6, 8, 6, 1, -11, 7, 1, 6, -4],\n [-5, 8, -3, 6, -4, -8, -7, 6, 14, -10],\n [1, 6, 6, 5, -12, 2, -8, 2, -12, -6],\n [4, 1, -4, -12, -11, -3, 4, 6, 2, -7],\n [-2, -11, -8, 2, -3, 14, -6, ... | 4488073763 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-7, 4, -4, -1, 1, -5, 2, 0, -4, -7],\n [-7, -8, 5, -3, 6, 13, 13, 12, 1, 1],\n [-5, 7, 7, -8, -11, 9, -13, -6, 0, 7],\n [-1, -3, 2, 2, -2, -7, -5, 11, -2, -8],\n [-12, 9, 0, 9, 14, -8, -10, -7, 6, 2],\n [-7, -8, -8, -13, -4, -3, 13, -3, 4, 13],\n [-12, -3, 13,... | 118087569 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-5, -2, -3, -4, -4, 4, -2, 0, -2, -2],\n [-2, -1, 6, 0, 10, -6, -6, 10, -1, 1],\n [-3, 6, -9, 6, -1, 2, 6, 0, 2, -6],\n [-4, 0, 6, 2, -6, 2, 12, 12, 7, 6],\n [-4, 10, -1, -6, -11, 10, -6, 4, 4, 1],\n [4, -6, 2, 2, 10, 14, -6, -4, -5, 4],\n [-2, -6, 6, 12, -6, ... | 58908204157 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-2, 8, 8, 2, -4, -4, -8, -1, 6, 6],\n [8, -1, -2, 6, -2, 0, -10, -10, -6, 2],\n [8, -2, -12, 12, 0, 4, 0, -4, -6, 2],\n [2, 6, 12, -5, 8, -12, -12, 3, -1, -6],\n [-4, -2, 0, 8, -10, 5, 0, -4, 4, 4],\n [-4, 0, 4, -12, 5, -13, 1, -3, 7, ... | 220748736057 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, 4, -12, 4, -3, 0, -7, 6, -10, -2],\n [4, -13, -4, 6, 12, -8, 0, -8, 6, 0],\n [-12, -4, -2, 2, 14, -6, 4, -2, 0, 2],\n [4, 6, 2, -5, -7, -8, 8, 0, 3, -10],\n [-3, 12, 14, -7, -14, -4, -6, 10, -4, -12],\n [0, -8, -6, -8, -4, -12, -5, 4, -1, -4],\n [-7, 0, 4,... | -98816739376 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^6 where A is:\n[[12, 12, -2, -2, 2, -4, -3, 0, -10, -1],\n [12, -14, -8, 8, 8, 10, 0, 0, -4, -1],\n [-2, -8, 5, 2, -6, -3, 13, -6, -8, 4],\n [-2, 8, 2, 7, 0, 4, -2, -6, 4, 0],\n [2, 8, -6, 0, -4, -4, -1, -10, 8, 8],\n [-4, 10, -3, 4, -4, -12, 2, 13, 2... | 216380219 | MATH |
[
{
"content": "Find the value at position (9, 10) of the 6th power of the matrix:\n[[11, -2, 2, -1, 2, 0, -3, 8, -7, 0],\n [-2, -11, -4, -1, 6, 5, -9, 4, -5, -1],\n [2, -4, 12, -6, 10, 9, -9, -6, 8, -7],\n [-1, -1, -6, -12, 12, -1, -2, 8, -12, 2],\n [2, 6, 10, 12, -12, 7, -3, -6, 0, 0],\n [0, 5, 9, -1, 7, 14, 1,... | -81178524 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-4, 8, 4, -10, 0, -8, -8, -11, 0, -4],\n [8, 10, -10, -5, -10, 2, -6, 7, 6, -4],\n [4, -10, -13, 10, -5, -5, 4, 0, 6, -2],\n [-10, -5, 10, 6, 0, -4, 12, 4, -5, -2],\n [0, -10, -5, 0, -12, -8, 0, 0, -8, -1],\n [-8, 2, -5, -4, -8, 0, 0, 10, -6, 9],\n [-8, -6, 4,... | 33414513120 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-6, -3, 12, -5, -4, -14, -5, 10, 1, 4],\n [-5, 0, -1, -12, -11, -7, -14, 5, 0, -8],\n [-3, -12, 8, 12, -10, 14, 11, 12, 10, -7],\n [-4, 4, -3, 5, -8, 14, -1, -13, 11, 12],\n [7, 10, -3, -6, 7, -3, -9, -9, 12, 11],\n [7, 4, 5, -9, 11, 2, 2, 14, 8, 2],\n [6, -5,... | 150719798369 | MATH |
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