messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[14, -6, -6, -6, -2, -6, -2, 4, -8, 2, 5, 3],\n [-6, -6, -6, -10, 8, 0, 4, -2, 14, 0, 1, 2],\n [-6, -6, 14, -2, 0, -11, -10, 3, 5, -6, -2, 6],\n [-6, -10, -2, 11, -5, 0, -10, 6, -2, -8, 0, -6],\n [-2, 8, 0, -5, 13... | 2760463715122 | MATH |
[
{
"content": "Find the value at position (9, 8) of the 8th power of the matrix:\n[[2, 8, 12, -10, -13, 3, 10, -2, 11, 7, -7, -12],\n [-7, -15, 1, 1, 5, 11, -13, 3, 10, -16, -4, 6],\n [-10, 15, 15, -7, 2, -13, -11, -3, 13, 14, -2, 1],\n [5, -13, 4, 8, -6, -3, -5, 2, -5, -9, -15, 16],\n [11, -6, 9, 15, 5, -4, -13... | -4909060011 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, -14, 2, 9, 14, -9, 5, -16, -10, -16, -16, -5],\n [11, 16, -16, 13, 0, 2, -6, 15, 14, -2, -12, 10],\n [1, -14, 5, 3, 9, 7, 9, -3, -12, 12, 9, 15],\n [6, 2, -14, -1, -6, 16, -9, -9, -10, -1, 9, -1],\n [11, 9, -13, 4, 12, 15, 9, 1, -14, -15, 13, 9],\n [-10, 6... | 34406997718740 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-14, 6, -12, -11, 7, 5, -6, 16, 7, 7, 9, 9],\n [-16, -5, -11, 5, -7, 8, -15, -9, -14, 14, 15, -12],\n [-16, 3, -15, -9, 7, -3, 8, 0, 12, -8, -16, -13],\n [8, 11, -9, -11, 10, -11, -8, -12, 10, -16, 2, 7],\n [-16, -14, 7, 8, -3, 16, 7, 9, -6, -14, 3, -8],\n [3,... | -30929087139 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-6, -16, -8, -4, 3, 12, 2, -9, 14, 4, -4, 7],\n [-1, -8, -7, 10, 15, -7, -5, 3, 2, 3, -7, -16],\n [13, 15, -10, -2, 5, -6, -12, -15, 14, -3, -8, -4],\n [-13, 5, 11, 0, -7, 3, 13, 1, -8, 16, 6, 5],\n [12, -16, 5, 8, -3, -13, -10, 12, 3,... | 8905357765 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[16, -11, -8, 11, -4, 0, -1, 15, 2, 8, -15, -16],\n [-13, -13, -2, 7, 5, -12, -5, 13, -16, 4, 9, 10],\n [-12, -15, -14, -2, -15, -12, 4, 15, 1, 13, -13, 9],\n [16, -9, -9, 15, 8, -10, 0, -15, 11... | 3701300612483122 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, -4, -14, 10, -8, -5, 0, 7, -6, -2, 0, 1],\n [-4, 15, 6, 3, 6, -14, 2, -7, 6, 0, -6, 0],\n [-14, 6, 3, 6, 0, -6, 8, -12, -4, -1, 11, -4],\n [10, 3, 6, 10, -11, 6, 6, -12, -1, -2, -7, -15],\n [-8, 6, 0, -11, -3, 6, 14, 6, -11, 0, -6, 0],\n [-5, -14, -6, 6, 6,... | 2310115629801 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[16, 1, -6, 6, -9, 2, 0, -4, 6, 2, -2, -10],\n [1, 6, 11, -2, -2, -11, -2, 2, 5, -5, 5, -10],\n [-6, 11, 11, -14, -4, -1, 6, 5, 6, 2, -8, 7],\n [6, -2, -14, 10, 9, -11, 0, -4, -4, -2, 6, 2],\n [-9, -2, -4, 9, -11, 0, 13, 8, -14, 5, -12, -4],\n [2, -11, -1, -11,... | -688348785906 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[15, -8, 3, 3, 11, 13, -12, 1, -11, -10, -14, -5],\n [16, 7, 3, 9, -13, 14, 8, 13, 0, 14, -3, 16],\n [-3, 2, 0, 16, -3, 12, -11, 7, 11, -14, -13, 15],\n [-8, -5, 16, 6, 10, -7, -1, 9, 14, -13, -3, -16],\n [-3, -7, -3... | 76769237242370 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[0, -14, 13, 15, -16, -11, -1, 9, -10, 7, 0, -11],\n [0, -13, 2, 9, -6, 15, 8, 15, 7, 16, 12, 3],\n [6, 12, 14, 10, 13, 1, -8, -12, 1, -16, 3, -3],\n [4, -10, -2, -12, -11, 4, -16, -12, -7, -14, -8, 10],\n [-8, 5, -1, 15, 10, -9, 6, 5,... | -4747914364158 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-11, -2, -4, -2, 4, 4, 0, 4, 6, 7, 0, -6],\n [-2, 3, 2, -6, 4, 0, 2, 4, -12, -6, -9, -5],\n [-4, 2, -15, -8, 1, -2, 12, -10, 8, 7, -7, 6],\n [-2, -6, -8, 3, 1, 8, -2, 1, 12, 10, 0, -6],\n [4, 4, 1, 1, -1, 2, 4, 10, -... | 37764322384385 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-1, -4, 4, 3, 0, 6, 0, 10, 0, 2, -4, 4],\n [-4, -13, 0, 6, -14, 8, -3, -6, -1, -10, -10, -4],\n [4, 0, 16, -2, 2, -3, -6, -12, 11, -9, -4, 2],\n [3, 6, -2, 9, -4, -2, 7, -4, -1, 8, -8, 4],\n [0, -14, 2, -4, -12, -12, 4, 7, 1, 2, 7, 10]... | -197136589428873 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[9, 6, 3, -12, -15, 7, 10, 11, 2, -14, -3, 14],\n [-11, 5, 8, 12, 8, -15, 2, -12, 16, 10, 1, -12],\n [-9, 2, -6, -1, 1, -5, -5, 9, 12, -8, 13, -6],\n [-6, 15, 3, -2, -15, 14, -12, 8, 11, -6, -16, 2],\n [10, 2, -14, -13, -13, -2, 13, -16, 16, -9, 5, -12],\n [0, ... | -13286577109 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-9, -7, 2, 2, 3, -6, 15, 15, -5, -4, 5, 12],\n [-12, 8, -13, 8, -4, -14, -8, 7, -13, -9, -7, -7],\n [11, -16, 7, -4, 3, -10, 11, -4, -6, -10, -2, 16],\n [15, 8, -7, 4, 5, -5, 11, -16, 5, -14, -12, -14],\n [11, -4, 1, -1, 0, -14, -2, 0, 16, -13, 11, -9],\n [14,... | 25285712967750 | MATH |
[
{
"content": "Find the value at position (8, 10) of the 9th power of the matrix:\n[[13, -11, -2, 8, -10, -5, -1, 4, 0, -1, -2, -8],\n [-11, 8, 2, -8, 8, 8, 5, -3, -6, -10, 0, 2],\n [-2, 2, 0, -14, -2, 6, -4, 9, 5, 1, -7, -2],\n [8, -8, -14, 1, 12, -6, -6, -4, -13, 6, -2, 1],\n [-10, 8, -2, 12, 12, -4, 3, -6, 8,... | -19141878804327 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, -1, 12, 0, 2, -2, -14, 4, -6, 16, 0, 0],\n [-1, -13, 1, 3, 6, 4, 8, 6, -11, -3, 6, -2],\n [12, 1, -9, -10, -2, -2, 4, 12, -12, 12, 2, -10],\n [0, 3, -10, 7, -4, -10, 6, -2, 7, 0, -5, -6],\n [2, 6, -2, -4, 4, 9, -12, -2, 10, 2, 2, -1],\n [-2, 4, -2, -10, 9,... | 8482668270591 | MATH |
[
{
"content": "Find the value at position (9, 10) of the 9th power of the matrix:\n[[9, -15, -7, -9, -12, -6, -5, -5, 13, -11, -16, -11],\n [3, -7, 16, 13, -13, -1, 11, 14, -7, -16, 4, 11],\n [-8, 4, 0, -10, 2, -14, 1, 5, -7, 2, 6, -13],\n [-6, 2, 3, 3, 6, 9, -9, -13, -3, -16, -2, 2],\n [10, 0, 10, -1, 7, -4, 8,... | -721509918292 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-4, -5, 7, 14, 10, 9, 4, -3, -7, -3, 0, -15],\n [9, 0, 16, -16, -15, -3, 14, 11, 1, -1, -6, -9],\n [2, 15, -9, -5, 1, 15, 9, -11, -4, -10, -10, -5],\n [-15, -14, 4, 13, 10, 10, -6, 1, -10, -15, 9, -9],\n [7, -16, 15, 1, -10, 6, 0, -11,... | 15285260784023 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, 5, -6, -4, -3, -11, -3, 0, -3, -16, -1, -9],\n [2, -12, 2, -6, -8, -6, -6, -6, -12, 14, 7, 16],\n [10, -14, -6, -8, -1, -6, -14, -16, -16, -7, 6, -9],\n [-7, 15, 2, -16, 12, 6, -16, -5, -13, -8, 2, 13],\n [-8... | 250362980654 | MATH |
[
{
"content": "Find the value at position (7, 4) of the 7th power of the matrix:\n[[-5, -10, 5, 2, 10, -8, -3, 12, -5, 4, -4, -10],\n [-10, 12, 4, -6, 2, 0, -12, -4, -2, -4, 8, 0],\n [5, 4, -9, -10, 4, -4, -2, 0, -4, 0, -9, 6],\n [2, -6, -10, -6, -10, -4, 7, 4, 10, 1, -2, 2],\n [10, 2, 4, -10, -9, 4, -11, 8, 8, ... | 16767576038 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, -10, -4, 7, 1, 11, -12, -1, -4, -4, -6, -13],\n [-10, 8, 1, 10, -7, 12, 6, 2, -6, -6, 9, 10],\n [-4, 1, 14, -7, 7, -6, -2, 2, 4, -4, 0, -10],\n [7, 10, -7, 2, -6, -4, -15, -8, -4, -4, -6, 6],\n [1, -7, 7, -6, -1, 11, 3, 4, 8, -6, 1, -2],\n [11, 12, -6, -4,... | 1770724951998 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-12, -10, -7, -11, 3, 4, 10, 0, -8, 6, -2, 8],\n [-10, -13, -12, -2, 1, 0, 2, 7, 11, 5, 0, -8],\n [-7, -12, -6, -12, -6, -12, 4, 2, -4, -14, 0, -5],\n [-11, -2, -12, 4, 8, 4, -2, 11, -8, -10, -14, -2],\n [3, 1, -6, ... | 6708743208649989 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 12, -4, -8, -13, 4, 0, -14, -5, 4, 11, -7],\n [12, -9, 14, 6, 2, -11, -2, 0, 3, -13, 5, 8],\n [-4, 14, 15, 11, -4, -7, 6, 3, 4, -1, -4, -3],\n [-8, 6, 11, -3, -2, 7, -1, -2, -8, -5, 8, 3],\n [-13, 2, -4, -2, 8, -10, -5, -12, 0, 4, 6, 2],\n [4, -11, -7, 7, ... | 14649725149 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-12, 5, 14, 5, -7, -14, -2, 13, -3, 0, -13, -7],\n [-12, 12, -11, -3, 0, 14, 16, 16, 0, 13, -6, -12],\n [-15, -2, -4, -14, 15, -5, 2, 2, -6, -10, 0, -16],\n [7, 15, -7, -3, -1, -11, 15, 8, -6, -11, 15, -12],\n [-2, 9, -8, -12, 7, 14, -... | 5874329607725 | MATH |
[
{
"content": "What is the value at position (2, 5) of the matrix A^7 where A is:\n[[-8, 1, -3, 2, 4, -6, -3, -6, 6, -6, -4, -8],\n [-10, -11, -10, -6, -4, 14, -16, 13, -13, -12, 4, 7],\n [15, 7, -10, -8, 12, 5, -4, -14, 16, -12, -8, 9],\n [-6, -5, 9, -5, -5, -1, 6, 0, -9, 8, 4, 11],\n [10, -2, -10, 2, -14, 3, -... | 7143468632 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, -5, 6, 2, 4, 1, 2, 0, -4, -9, 2, 6],\n [-5, -12, 6, 2, 0, 2, -1, -2, 2, -13, -10, 1],\n [6, 6, -6, 4, 4, -3, -4, -11, 3, 0, 6, -4],\n [2, 2, 4, -7, -8, 5, -10, 6, -11, -11, 10, -9],\n [4, 0, 4, -8, -6, -5, -4, 0, 4, -3, -4, -11],\n [1, 2, -3, 5, -5, 11, -1... | 49096101447868 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[9, 1, 2, -12, 3, 0, 0, -2, 6, 1, 10, -3],\n [1, -11, 12, -10, -4, 10, -10, 4, 9, -4, 2, -2],\n [2, 12, 11, -6, 11, -12, -6, -1, 7, 2, -8, 10],\n [-12, -10, -6, -10, 4, 2, 16, -2, 2, -8, 10, 6],\n [3, -4, 11, 4, -2, -8, -13, 1, -2, 2, ... | 28926634022 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-3, -14, 2, 10, -14, -4, -7, 2, 2, -4, -4, -9],\n [-14, 14, 3, 0, 6, -2, 9, 10, 6, -12, 2, 4],\n [2, 3, -16, 4, 4, 14, -7, 2, 14, -2, -14, -6],\n [10, 0, 4, -16, 2, 0, 9, 2, 4, 15, 8, -6],\n [-14, 6, 4, 2, 16, -5, 8, -10, -6, -7, 10, 2],\n [-4, -2, 14, 0, -5, ... | -229818467882 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[10, 9, 5, 16, 15, -6, -11, 1, -7, 5, 6, 15],\n [-6, -14, -6, 5, 6, 8, 1, 13, 7, -16, 15, -5],\n [3, 16, 11, -5, 8, -2, 6, 16, 16, -14, 4, -15],\n [-5, 1, -7, 5, 13, -2, 15, 12, 16, 11, -15, -3],\n [6, -6, -11, -9, -4... | 26562816418825 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[2, -15, -1, -9, -2, -6, 10, 8, -15, -4, 4, 1],\n [12, -9, 3, 15, -8, 13, 3, 6, -9, -16, -11, -16],\n [-16, -5, -3, -13, 14, 8, 9, -5, 1, -15, -5, -16],\n [2, -12, -12, 4, -15, 14, -12, -15, -10, 14, -10, -12],\n [15... | 3110880901600124 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[13, -9, -4, 10, -3, 0, 0, -10, 4, -4, -4, 7],\n [-9, 16, 4, -2, -6, 7, -9, -2, -2, -9, 0, 4],\n [-4, 4, 11, 6, 10, 10, 2, 6, 0, 4, 2, 10],\n [10, -2, 6, -10, 2, 2, 0, -13, 4, -7, 2, -7],\n [-3, -6, 10, 2, -12, -2, 2... | 1884640337112 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 12, -5, 6, 11, -6, -6, 2, 2, -4, 2, -4],\n [12, -2, 0, -4, 0, 7, 0, -5, -1, 8, 2, -3],\n [-5, 0, 6, 0, -2, 0, -11, -5, -10, 2, -2, -1],\n [6, -4, 0, -12, -5, 4, 4, 14, 5, -6, 1, -8],\n [11... | 56752144628739 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, -6, 3, -11, -5, -9, 1, -1, -7, -2, -9, -2],\n [-13, 14, -8, -2, 8, -16, 10, 9, -6, 4, 14, 16],\n [4, 11, -10, 11, 12, -15, -6, -14, -7, 7, 5, -7],\n [6, -14, -15, 4, -9, 0, 0, 3, -11, 6, -9, 12],\n [0, 9, -16, -12, 2, -4, 13, 16, 5, -13, 9, 6],\n [3, -14, ... | 6045414413288 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 10) of the result:\nA =\n[[-1, 2, 4, 2, -7, 10, 4, -1, 4, -7, 10, -7],\n [2, 12, 2, 7, 14, 4, -3, 2, 0, 8, -8, 10],\n [4, 2, 16, 8, -3, 8, 5, -4, -4, 0, -6, -7],\n [2, 7, 8, -16, 1, 10, -14, 7, -10, 5, -11, -12],\n [-7, 14, -3, 1, -... | -2519079997914 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, 4, -13, -10, -16, 15, -11, -8, -3, 3, -7, -6],\n [-3, 13, 8, -5, 3, 13, 13, 9, -5, 0, -9, -3],\n [4, -10, 1, 0, -5, 7, 4, 10, 0, -16, -6, -2],\n [-5, -11, -16, -8, 4, -16, 6, 2, -5, -7, 1, 5],\n [-9, -7, -3, 2, -9, -14, -15, 2, -12, -7, 12, 16],\n [-2, -11,... | 13252145781282 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, 2, -6, -6, 8, 2, -16, 0, 4, 12, -3, -4],\n [2, 4, 3, -5, 1, -6, 6, -12, 4, -2, 8, 0],\n [-6, 3, -3, 0, 8, 4, 4, 3, 2, -8, 10, 4],\n [-6, -5, 0, 3, 6, 0, 5, -2, 3, 4, -6, -6],\n [8, 1, 8, 6... | 3027772509758945 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, 2, -9, 8, -10, -12, -5, 15, 1, -9, 3, -1],\n [-15, 4, -15, 7, 7, -7, -7, 7, -6, -3, 12, -10],\n [-5, 0, -4, 10, 6, 10, -8, -13, -9, 2, 5, 2],\n [-15, -11, -8, -2, 4, 3, -6, -9, 12, 11, -8, -8],\n [11, -13, 2, 16, 8, 11, 1, -13, -9, -3, -16, -15],\n [-7, -4... | 465909309825 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 9th power of the matrix:\n[[-14, -13, 15, -2, -12, 2, 3, 2, -5, 6, -12, 14],\n [-6, 5, -3, -2, -11, -3, 15, -11, -11, -11, 0, -16],\n [-2, 2, 9, -16, 9, -4, -10, -16, 16, -2, -15, -10],\n [9, 8, -7, -7, -7, 11, 13, 10, -9, -8, -7, 4],\n [8, 14, -15, 2, 13, ... | 25942431191386 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, 5, 12, 10, -16, 11, 4, -7, 12, 3, -10, 16],\n [-4, 0, -8, -1, -10, -12, -5, -3, 10, -7, -11, 3],\n [7, 10, -12, -8, -10, -9, -7, 8, 16, -8, 14, 11],\n [-7, -9, -10, 13, 9, 15, 14, 7, 5, 0, 14, 3],\n [-12, 0, -... | 107524260068 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[11, 8, -14, 6, -10, -7, 16, -6, 5, -7, -2, 8],\n [8, 3, -6, -6, 2, -8, -8, -4, 11, 2, 6, -4],\n [-14, -6, -8, 4, 4, 6, 2, 3, -2, -1, 10, -9],\n [6, -6, 4, 9, -2, 11, -2, -2, -8, -3, 6, -1],\n [-10, 2, 4, -2, -8, 4, -... | 1373079528055 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-9, -2, 4, 0, -6, 0, 5, -6, 0, -10, -2, 1],\n [-2, 7, 12, -10, 10, -8, 8, 2, -1, 1, -6, 7],\n [4, 12, -9, 6, 6, -6, -11, -8, 10, 8, 0, -6],\n [0, -10, 6, -12, -2, -10, -3, 0, -2, -2, -8, -5],\n [-6, 10, 6, -2, -2, -6, 12, 13, 8, 9, -3, -5],\n [0, -8, -6, -10, ... | 60893810125064 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[7, 7, 16, 9, -5, 11, 10, 1, -10, -8, 7, 14],\n [-6, -9, -12, 15, -1, -16, 10, -1, 7, -1, -12, -6],\n [-8, 1, -16, -13, 13, -3, 5, -15, -13, -11, 15, 9],\n [-4, -5, -12, -16, 11, 5, -4, -10, 11, -2, 9, -5],\n [7, -13, 15, -11, -15, 15, ... | 161594246949478 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, 1, -12, -8, 2, -8, -12, -5, -2, -6, 2, 1],\n [1, -4, 0, 10, -1, 3, -2, -2, -2, 8, -3, 6],\n [-12, 0, 16, 4, -4, 2, -6, -2, 5, -8, -5, 6],\n [-8, 10, 4, 15, 2, 4, 14, -2, -10, -4, 3, -11],\n [2, -1, -4, 2, 13, -3, 4, -2, -5, -1, 6, 8],\n [-8, 3, 2, 4, -3, -7... | 246828546213 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[16, -7, 0, 0, 0, 6, -1, 0, 14, -4, 0, 2],\n [-7, -6, 0, 1, -8, 4, -2, 4, 0, -4, -6, -12],\n [0, 0, -15, 10, 0, -2, -4, 4, 2, -6, 0, 8],\n [0, 1, 10, -16, 13, 14, 14, -11, 0, 7, -3, 3],\n [0, -8, 0, 13, -16, -6, 6, -4, -5, -8, 8, 14],\... | 34019742760884 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[4, -4, 11, -9, 4, 12, 2, -3, -8, 10, -16, -13],\n [14, -2, -16, -9, -11, 10, 9, -15, -4, 13, -10, 16],\n [10, 6, -1, 6, 8, -10, -15, 8, -3, 1, -13, -3],\n [14, 5, -10, 5, -13, 5, 0, 3, -8, -16, 6, 11],\n [-3, 5, 11, -13, -11, 0, 15, 14, -3, -4, -14, 4],\n [-4,... | -7938654629832 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 7th power of the matrix:\n[[6, 13, 8, 4, 10, 2, 9, 16, -14, 8, -4, -3],\n [-7, 7, 5, -3, -8, -5, 5, 16, 1, 14, -5, -2],\n [-16, 14, -7, -4, -7, 5, 9, -6, 16, -7, 14, 4],\n [8, -8, 1, 13, 4, 12, 0, -13, 16, 6, -10, 7],\n [-10, -9, -14, 10, -13, -15, -12, -7,... | 13633795881 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 9) of the result:\nA =\n[[7, 9, 10, -6, 10, 5, -16, 10, -16, -2, -6, 12],\n [13, 6, 9, 1, -2, 5, -15, -14, 9, 12, 12, 6],\n [6, 11, -15, 11, 7, -14, -7, 2, -16, -13, -10, -14],\n [-3, -1, 11, 11, -11, 11, 1, 1, -2, -3, 5, -3],\n [2,... | 34730297834 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[15, 7, 5, 2, 8, -6, 7, 3, 4, 12, -8, 10],\n [-9, -8, -2, -1, 13, -10, -14, 15, -11, -7, -4, -12],\n [12, -7, 16, 14, 15, -4, 12, 6, 11, 14, -16, 13],\n [-13, -9, 5, -5, -5, 2, -4, -3, 16, -13, -12, 14],\n [-7, 8, 3, 3, -8, -5, -4, 16, ... | -5111970922518 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, 14, 15, -14, 10, 16, 13, -4, 3, -9, -9, -5],\n [4, -4, 13, 13, -15, 2, 10, -10, 10, -7, -5, 0],\n [-9, -4, 4, -8, -3, 5, -8, -11, 12, -1, 12, 4],\n [-15, -9, -14, 11, -3, 6, -15, 4, 12, 16, 8, -12],\n [13, 11, 7,... | 3158623487301 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[14, 5, 8, -3, 8, -7, -1, -9, 0, -7, 2, -6],\n [5, -10, -8, -6, -4, -4, 5, -5, -11, -2, 13, -12],\n [8, -8, 0, -6, 2, -1, -2, 0, -13, -2, -5, 6],\n [-3, -6, -6, 3, 8, -8, -6, -6, 2, 2, -4, 1],\n [8, -4, 2, 8, 9, 8, 1... | 118018124707939 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-13, 0, 10, -10, 4, -8, -12, 0, -8, -5, -10, -2],\n [0, 1, 10, 6, 5, -4, 8, 8, -2, 9, -2, 12],\n [10, 10, 4, 0, 10, 2, 5, 3, 8, 1, 4, -14],\n [-10, 6, 0, -6, 0, 3, -2, -8, 14, 10, -14, -16],\n [4, 5, 10, 0, -11, -12, 0, -7, 0, 0, -4, 0],\n [-8, -4, 2, 3, -12, ... | 191788364252359 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (10, 7) of the result:\nA =\n[[1, 2, 2, -6, 16, -10, -4, 14, 0, -2, 10, -2],\n [2, 11, 8, 0, -3, -1, -10, -10, -8, 10, -6, -2],\n [2, 8, 3, -1, -12, 6, 4, -12, -6, -4, 2, 0],\n [-6, 0, -1, 14, 0, -7, -2, 10, 6, -2, -8, 4],\n [16, -3, -1... | 9949947987114 | MATH |
[
{
"content": "What is the value at position (6, 9) of the matrix A^9 where A is:\n[[-4, -9, -2, -5, 2, -2, 8, 10, 1, -12, -13, 1],\n [-8, 12, 13, -12, -1, 8, 14, 9, 10, 10, 13, -4],\n [15, 12, 15, -6, 12, 3, -2, 6, 11, 10, 5, -9],\n [12, 2, 15, -16, -14, 9, -10, 9, 10, 2, -13, 10],\n [-3, -9, -16, -9, 12, -10, ... | 3359751537536 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[7, 2, 2, -3, 0, 8, -1, 2, 2, 6, -5, 10],\n [2, -14, -2, -5, 7, -6, -3, 2, -2, 1, 6, 1],\n [2, -2, 16, 10, -2, -6, -14, -10, 2, -9, 5, 13],\n [-3, -5, 10, 6, -3, -4, 2, 12, -6, 8, -10, 8],\n [0, 7, -2, -3, 12, 16, 0, -3, -1, 5, 1, -3],\n [8, -6, -6, -4, 16, 9, ... | 142632777878747 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-6, 15, 12, -9, -11, -14, -10, -10, -14, -9, 9, 14],\n [10, -16, 16, 0, 15, 4, 4, 11, -11, -12, -8, -7],\n [12, -3, -11, 5, -1, 2, -6, 13, -12, -10, -4, -2],\n [-13, -12, -4, 16, 3, -9, 0, -12, 14, -9, -15, -16],\n ... | 57400653847360 | MATH |
[
{
"content": "What is the value at position (12, 11) of the matrix A^8 where A is:\n[[13, 2, 2, -6, 0, -2, 12, -9, 7, -9, -2, 7],\n [2, -11, 0, 12, 9, -4, 11, 3, 4, -8, 8, 8],\n [2, 0, 13, 2, -8, 10, 8, 2, 2, -4, -13, -8],\n [-6, 12, 2, 6, 7, -14, 10, -4, 4, 11, -7, 12],\n [0, 9, -8, 7, -15, 4, 2, -3, -10, -10,... | -350579246677 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -16, 6, 7, -8, -5, 16, -14, 0, -15, 15, -14],\n [-12, 6, -8, 4, -3, 4, 11, -3, -15, 6, -6, -16],\n [-4, 6, -5, -11, -3, 5, 14, 7, -11, -13, 4, 12],\n [9, -11, 10, -4, 7, 1, -5, -16, 12, -3, -8, -1],\n [-5, -11, -6, 4, 2, -11, 5, 7, 12, 6, 11, 2],\n [-11, 4,... | 12662798377 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[13, -1, 6, 8, 6, 12, -10, -4, 0, -14, -6, -2],\n [-1, -7, 6, 10, -11, 2, 0, -6, 10, 10, 8, 7],\n [6, 6, 14, -12, -14, 4, 2, -6, 4, 3, 2, 5],\n [8, 10, -12, 0, 12, 12, -10, 6, -15, 4, 11, 7],\n [6, -11, -14, 12, 1... | 744772264184926 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[15, 4, -1, -7, 2, 8, 2, -3, -6, -2, 1, 2],\n [4, 14, -2, 4, -4, 2, -9, 4, -2, -4, 12, 8],\n [-1, -2, -12, 1, -2, -10, 2, -2, -16, -4, -6, 2],\n [-7, 4, 1, 3, -10, 6, 4, 2, -5, 6, 0, 6],\n [2, -4, -2, -10, 4, 4, 6, 8, -4, -4, -14, 4],\n [8, 2, -10, 6, 4, 3, 4, ... | 57001890536350 | MATH |
[
{
"content": "Find the value at position (1, 10) of the 8th power of the matrix:\n[[-8, 1, 2, -12, 8, 8, 2, -3, -10, 4, -14, 12],\n [1, 9, 9, -4, -12, -10, -6, -2, -2, -2, -2, -12],\n [2, 9, 11, 0, -3, -12, -11, -4, -1, 0, 4, -6],\n [-12, -4, 0, -5, -6, -11, -14, 4, -3, -12, 0, 16],\n [8, -12, -3, -6, 1, -8, 6,... | 2211347440409 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-1, -4, 2, -10, 4, 0, -10, -8, -8, -11, -2, 8],\n [-4, -10, -9, 11, 5, 14, 6, -10, -8, -10, 6, 4],\n [2, -9, 7, 2, 4, -10, 1, 11, -5, 10, 1, 1],\n [-10, 11, 2, -5, -10, 0, 8, 8, 0, 11, 7, 4],\n [4, 5, 4, -10, 7, 13, 8, 8, -2, -10, 5, -6],\n [0, 14, -10, 0, 13,... | 22960837356912 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[14, 2, -9, 0, 2, -4, -12, 1, -8, -12, -2, -6],\n [2, 14, 2, -4, -3, 12, 10, -2, 9, -2, 9, 6],\n [-9, 2, -16, 4, -1, 4, -8, -11, 1, 8, 1, -2],\n [0, -4, 4, 9, 2, 2, -6, 6, 4, 8, 7, 4],\n [2, -3, -1, 2, 12, 0, 6, 4, 13... | 6491765946939382 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[13, 4, -2, 8, -10, 15, 6, 10, -12, 4, 6, 4],\n [16, -8, 8, 8, 2, -16, -13, 0, -4, -2, -14, -12],\n [-7, 1, -9, -1, -9, -10, -13, 7, 3, 13, 15, 8],\n [1, 14, 8, -15, -14, 4, 14, 3, -15, 13, -1, 11],\n [0, 2, -10, 1, 9, 11, -10, 9, -9, -13, 0, 4],\n [10, 5, 6, -... | 3686045576563 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[1, 14, -16, 9, -2, -10, 3, 4, -5, 5, -8, -4],\n [-6, -3, 14, -14, 6, 5, -2, 14, -3, 13, 7, 2],\n [-10, 1, -6, 8, 13, -5, 4, -7, 8, 6, -6, 16],\n [4, 15, 5, 0, 11, 0, -3, 10, -10, 14, -5, -15],\n [5, -9, -1, 8, -14, 1... | 428651520061212 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[5, -4, 8, -8, -2, -2, -2, -2, 0, 11, 4, -4],\n [-4, 5, -2, -4, -1, -4, -12, 1, 6, 6, -7, 6],\n [8, -2, 14, -4, 13, 6, -6, -4, 12, 6, -6, 8],\n [-8, -4, -4, 16, 0, -1, -1, 12, 0, -1, -9, 2],\n [-2, -1, 13, 0, -16, 0, -6, 0, 4, -7, 9, 6]... | 126994186891464 | MATH |
[
{
"content": "What is the value at position (5, 7) of the matrix A^7 where A is:\n[[2, -10, 2, 10, 6, 6, -1, 6, 9, 2, -8, 8],\n [-10, -6, 3, -4, 14, -4, 0, 0, 16, 2, 1, 6],\n [2, 3, 14, -8, -11, 8, 8, 4, 10, -4, 12, -14],\n [10, -4, -8, 6, 2, -12, -4, 8, -6, 8, 3, 11],\n [6, 14, -11, 2, -7, 6, -3, 15, 6, 14, 2,... | -31556888218 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (5, 8) of the result:\nA =\n[[-14, 2, -5, -12, 6, 2, 5, -2, 10, -3, -4, 4],\n [2, -8, 2, 8, 2, -6, -2, 16, 6, 8, -1, 2],\n [-5, 2, -3, 1, -6, 8, -4, -1, 9, 12, 4, 0],\n [-12, 8, 1, 11, -4, -8, 4, -4, 10, 2, 10, 4],\n [6, 2, -6, -4, 14, ... | 2033765480186 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (10, 10) of the result:\nA =\n[[-3, 12, -4, 6, 4, -2, -11, -2, 6, 6, -4, 2],\n [12, 16, 8, -2, 0, 10, -10, -4, -5, -6, -10, -5],\n [-4, 8, -9, -6, 14, 8, -2, -13, 2, 0, 9, 12],\n [6, -2, -6, 9, -6, -8, -7, 5, 7, -2, -2, 0],\n [4, 0, 14,... | 3862195562 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, 0, -4, 4, 9, -8, 8, 7, -2, -12, 6, -1],\n [0, 8, -5, 6, 0, 5, 2, 0, 8, -2, -4, -12],\n [-4, -5, 5, -10, 0, -6, 0, 2, 8, -12, 5, 0],\n [4, 6, -10, 0, -1, 2, -10, -9, 8, -14, 6, -4],\n [9, 0, 0, -1, -13, 6, 2, -12, -6, 4, -8, -8],\n [-8, 5, -6, 2, 6, -3, 12, ... | 565615648 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[11, 16, -2, 8, -4, -2, 11, -4, 5, -10, 6, -6],\n [16, 14, 4, 1, 4, 4, 10, 11, -4, -4, 1, 4],\n [-2, 4, 1, -4, 0, 2, 2, -8, 13, 14, 2, 0],\n [8, 1, -4, 10, -9, 0, -10, -12, -14, -6, 4, -2],\n [-4, 4, 0, -9, 16, 2, 6, 6, -2, 8, 4, -2],\n... | 87709276021346 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, 7, 14, -15, -9, -11, 12, 6, 16, -1, 11, 7],\n [-13, -4, 11, 13, 5, 14, -10, -4, 12, 11, 0, 7],\n [-3, -10, -16, -12, -6, 4, 11, -4, 14, 4, -10, 13],\n [14, 9, 6, 14, 16, 7, -7, -13, -7, -4, 10, 2],\n [11, 15, 11, 3, 5, 9, 7, -15, -14, -1, 10, -1],\n [-8, 1... | 841487242162 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[14, 4, 2, -4, 13, -12, 2, 3, 11, 3, 2, 12],\n [4, 6, 6, 16, -10, 0, -6, 5, 6, -1, -12, 4],\n [2, 6, 16, 8, -8, -1, -2, -6, 10, 4, 11, 0],\n [-4, 16, 8, 7, -2, 6, -4, -2, -10, 13, -8, -3],\n [13, -10, -8, -2, 12, -10,... | 2999479703127 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-15, 8, 7, -10, -15, 5, 5, 10, -6, -4, 1, -12],\n [9, 10, -10, -10, -8, 3, -6, -6, 10, 0, -14, -14],\n [-5, 3, 9, 13, -3, -7, -8, -6, -10, -9, 6, -10],\n [11, 12, -7, -5, 1, 2, 9, -10, 15, 6, -10, -1],\n [-12, 0, -11... | 37202769972017 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-16, 0, -4, -3, -7, 8, 8, -5, -2, -6, 0, 4],\n [0, 13, 8, 9, 0, -2, 4, -6, 11, 10, 2, 2],\n [-4, 8, 9, -2, 7, 6, -6, 0, -10, -8, 8, -4],\n [-3, 9, -2, 6, 6, -4, -10, -3, -2, 6, -6, -16],\n [-7, 0, 7, 6, -10, -3, ... | 145761747300562 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[16, 0, -4, 2, -15, -2, 10, -12, 5, 10, 6, 8],\n [0, -4, -2, -8, 10, 8, 4, -2, 0, 2, -14, -6],\n [-4, -2, -14, -13, 0, -4, 2, -1, -8, 8, 5, -6],\n [2, -8, -13, 0, -6, -4, 3, -8, -10, -2, 10, -2],\n [-15, 10, 0, -6, 12, 6, -4, 0, -1, 3, ... | 11207152368432 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[13, 16, 11, 13, -7, -2, 2, -5, 14, -5, -5, 5],\n [9, -10, -14, 15, -10, -1, 6, -4, -9, 5, 14, -3],\n [-12, 14, -8, -9, -5, -12, 15, 9, -5, 16, -8, -16],\n [-2, 10, -9, -11, 5, -4, -6, -4, -10, 14, -13, -10],\n [16, -6, 11, -1, 7, 8, 9,... | -3394779931210 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-6, 0, -6, 13, 2, -4, 8, -2, -8, -1, -8, -1],\n [0, 10, 0, -12, 2, -2, 4, 4, -3, 1, 7, 8],\n [-6, 0, -16, -11, 0, -8, -6, -8, 6, 6, 6, 8],\n [13, -12, -11, 10, 6, -1, 8, 0, 9, -7, -2, -6],\n [2, 2, 0, 6, 1, 6, -7, 14, 0, -10, -6, -10],\n [-4, -2, -8, -1, 6, 13... | 5004129624502292 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[15, 4, 2, -4, -3, 0, 12, -8, -6, -9, 2, -2],\n [4, 15, -6, 2, 8, 0, 2, 6, -9, 2, 7, -8],\n [2, -6, -5, 0, 0, 11, 2, 8, -8, 5, -6, 5],\n [-4, 2, 0, -1, -8, -4, -12, -4, 8, 6, 0, -10],\n [-3, 8, ... | 45185857610389 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[-16, -9, -15, -14, 0, 14, -7, -7, 1, -12, -11, 14],\n [-3, 16, 12, 2, -7, 6, -9, 7, -11, 10, 15, 13],\n [-14, -7, 1, -4, 0, -1, 4, -5, -1, -3, -7, 0],\n [2, -8, -11, 1, 16, -12, 11, -9, -1, -3, 0, -12],\n [12, 2, 9, 12, -6, 8, 12, 1, ... | 80137566698982 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 1) of the result:\nA =\n[[-16, 0, -7, -5, 13, -9, 16, -4, 5, -1, -7, 9],\n [8, -4, -14, 12, -13, 5, -3, -16, 7, -8, 2, -9],\n [-15, 13, 13, -16, 10, -16, 14, -8, -14, 6, -9, -3],\n [-4, -5, -6, -5, -3, -5, -8, 6, 3, 10, -15, -2],\n ... | -28210537397 | MATH |
[
{
"content": "Find the value at position (6, 5) of the 7th power of the matrix:\n[[2, -5, 4, -2, 13, -16, 0, 13, 4, 11, 3, 2],\n [7, -6, 9, 0, 9, -2, -4, 0, -3, 2, 10, -3],\n [-15, -10, -16, 4, 15, -12, 11, -6, -4, 10, -16, -8],\n [-11, -6, -11, -14, 11, -11, -9, 7, -2, 11, -8, 16],\n [11, -7, 8, -13, 14, -4, 9... | -15289169089 | MATH |
[
{
"content": "Find the value at position (10, 5) of the 8th power of the matrix:\n[[11, 15, 3, -13, 15, -1, -3, 3, 11, -3, -14, 7],\n [11, -10, -2, 8, -10, 7, -6, -2, -7, 12, -5, 7],\n [-10, 12, 4, 11, 12, 2, 13, 8, 13, 14, 6, -7],\n [-9, -11, -15, -2, 8, -2, -9, -10, -7, -1, 6, -14],\n [-15, 13, 12, -8, 7, -15... | 924408512499 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-11, 1, -16, -9, -5, -16, 12, 0, -11, 5, -9, 4],\n [-12, 14, 11, 13, -4, 12, 16, -7, 2, -8, -1, 10],\n [-11, 2, 14, 2, 15, -14, 5, -6, 15, -13, -5, 12],\n [-13, -14, 6, -7, 0, 12, -5, 1, 5, 2, 0, -12],\n [-2, 9, 7, ... | 2372204879874 | MATH |
[
{
"content": "What is the value at position (10, 9) of the matrix A^9 where A is:\n[[-1, -7, 10, 1, 4, -2, 12, -2, -2, 4, -8, 6],\n [-7, 2, -10, -2, -3, 0, -12, 8, 4, 3, 0, 4],\n [10, -10, 0, -8, 0, 1, -10, 5, 4, 0, 0, 13],\n [1, -2, -8, 7, 0, 1, 0, -7, -2, -1, 3, 6],\n [4, -3, 0, 0, -1, 6, -6, 4, -10, -3, -2, ... | 3278928217364 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[-11, 4, -6, -14, -4, -10, -10, -4, -12, -2, 0, 3],\n [4, -8, -14, -13, 8, -6, -4, 0, 8, 2, -6, 8],\n [-6, -14, -6, 6, -2, -1, 16, 0, -2, -1, 0, -1],\n [-14, -13, 6, -9, 2, 0, 11, 9, 12, -10, 0, 6],\n [-4, 8, -2, 2, -2, 4, -8, 0, 4, -2... | 3885768873465 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-2, 12, -3, 10, -2, -2, 2, 2, 9, -3, 0, 2],\n [12, -7, 6, 8, 11, -3, -8, 3, 6, -2, 12, -4],\n [-3, 6, -12, 6, -3, -11, -2, 2, -4, 12, 2, -13],\n [10, 8, 6, 12, 0, 5, 0, -6, 2, 2, -10, 0],\n [-2, 11, -3, 0, 0, -4, 11, 7, 3, -6, -1, 0],\... | 6846781076451 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-3, 10, -6, -3, 2, 1, 6, 10, -2, -7, 6, 4],\n [10, -5, 6, -8, 1, 1, -2, 6, -8, -5, -6, 0],\n [-6, 6, 5, 4, -9, -9, 4, -4, 8, -2, 0, -6],\n [-3, -8, 4, 12, -2, -4, 3, -4, -1, -3, -5, 6],\n [2, 1, -9, -2, -7, 5, -5, 2, -4, -11, 9, 0],\n ... | -22329736246 | MATH |
[
{
"content": "Find the value at position (1, 10) of the 7th power of the matrix:\n[[-10, -15, 16, 1, -2, -16, 9, 16, -12, 8, 7, 15],\n [-8, 8, 9, -16, -3, 13, 11, 10, -8, 15, -13, 1],\n [-1, -11, 13, -6, -14, -15, -10, -9, 14, -16, -6, -12],\n [14, 2, -6, -6, -9, 9, -11, 15, 12, 2, -1, 7],\n [12, 2, -13, 8, 14,... | 22438199711 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-14, 8, 6, -16, 4, 13, 15, 7, 10, -1, -13, 13],\n [1, -11, -2, -10, 9, -16, 9, 13, 6, -14, 2, 14],\n [-4, 12, -7, 0, 14, 11, -9, 13, 12, -4, 10, -14],\n [9, 11, -7, 2, -1, 12, 16, 9, 4, 8, -1, -15],\n [5, -15, -6, 0, 11, -13, 10, -15, -12, 11, -8, -3],\n [4, -... | -319185039911 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (1, 10) of the result:\nA =\n[[-15, -6, -3, -5, -3, 4, 8, 13, 8, 0, -5, -2],\n [-6, 6, -2, -4, -12, -6, 10, -3, -4, -2, -13, 4],\n [-3, -2, -9, 0, 8, -10, 0, 2, -6, -1, -8, 5],\n [-5, -4, 0, -12, 6, 0, 12, 9, -10, -4, 3, 8],\n [-3, -12,... | 12084930679562 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-1, -3, -5, 16, 0, 16, 11, 4, 15, -2, 8, 6],\n [-5, -10, 15, 7, 6, -12, 15, -4, 15, -6, -9, 15],\n [1, 2, -10, 1, 0, -8, -8, -2, 5, 16, 16, 10],\n [15, 16, 16, 7, -11, -16, -8, 6, -9, 12, 1, -9],\n [-7, -1, 7, -9... | -7082179829266 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, -13, 0, -3, -16, -8, 14, -5, -9, 6, -16, -16],\n [-3, 15, 11, 16, 10, 16, -14, 3, -3, -6, -15, -13],\n [-7, -10, 2, -10, 10, -12, 13, 9, -8, -11, 8, -7],\n [2, 9, -14, -12, -8, 12, 3, -1, 16, 5, -2, 5],\n [8, 11, 4, 10, -16, 12, 15, -4, -4, -4, -12, -7],\n... | 35169755903119 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-13, -6, 16, 6, -3, -6, 5, -8, 5, 14, 14, -11],\n [3, -8, 3, 3, -16, -6, -14, -11, 4, -8, 3, 2],\n [9, -3, 7, -14, 11, -16, -8, -16, 14, -6, 13, 7],\n [10, 6, -10, -9, 10, 10, -8, -11, -15, -8, -11, -6],\n [-16, -7, 3, 2, -6, 10, 12, 3, -9, -4, -9, 2],\n [16, ... | 5881961508827168 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (11, 11) of the result:\nA =\n[[-1, 14, -5, -1, 7, 4, -1, 8, 4, -13, 7, -11],\n [-10, -13, 14, 8, -3, -12, -5, -13, 13, 12, 12, 5],\n [9, 5, -16, 16, 9, 16, 10, -8, -9, -14, 9, -9],\n [-2, -9, -15, 13, 10, 10, -11, -8, 12, 2, 7, 3],\n [... | -22631042321 | MATH |
[
{
"content": "What is the value at position (2, 11) of the matrix A^8 where A is:\n[[-14, -4, 7, 2, 4, -7, 13, 5, 3, 3, 0, 4],\n [-4, 12, 4, 11, 2, 2, -7, -6, -4, 14, 0, -8],\n [7, 4, -7, 10, -8, 8, -10, 4, -13, 0, 1, 4],\n [2, 11, 10, -9, 8, 8, 0, -8, 8, 2, -8, 2],\n [4, 2, -8, 8, -1, 7, 9, -4, -6, 6, -3, -1],... | -1406919186207 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-12, 7, -14, -6, -12, -15, -4, -5, -1, -1, -6, -8],\n [7, 7, 13, 4, 0, 7, 10, 13, -4, -14, 11, 5],\n [1, -7, 4, 16, 7, -4, 6, 14, -7, -16, -15, -15],\n [8, 13, -1, 3, 0, -11, 11, -11, -16, 7, -3, 10],\n [-4, -3, ... | 9405350868844 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[4, -6, -2, 0, -6, 3, 0, -8, -14, 4, -2, -2],\n [-6, 7, 0, -8, -4, -8, 3, -4, -10, 0, -14, -2],\n [-2, 0, -10, 0, 0, 2, 1, -12, 4, 10, -12, 1],\n [0, -8, 0, 2, -4, 0, 2, -4, 12, 6, 4, -10],\n [-6, -4, 0, -4, -7, -2, -6, -1, 1, -8, 0, -6],\n [3, -8, 2, 0, -2, 11... | -128014572018 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[15, 16, -10, 4, -2, -13, -5, 7, 4, 11, -14, -16],\n [-6, 3, -11, 7, 13, -16, 9, -7, 3, 0, -1, 15],\n [-8, 14, 10, 5, 4, 8, -14, -14, -13, -7, 14, 8],\n [-15, -8, 13, 8, 14, 12, -3, 11, -9, 10, -8, -4],\n [3, -1, -7, 8, -14, -2, -16, -... | -177545317171514 | MATH |
[
{
"content": "Find the value at position (7, 5) of the 8th power of the matrix:\n[[12, 6, -12, 7, -3, 0, -16, -5, -1, -14, -12, 15],\n [0, -9, -14, 16, 2, -1, -14, 7, 9, -6, 10, -6],\n [-11, -14, -2, 16, 16, -12, -12, -14, 14, 11, -12, 13],\n [0, -1, -9, 15, -2, -2, 13, 16, 8, 0, -14, 1],\n [-10, 8, -2, -7, -1,... | 684120241678 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-3, -3, -11, 8, 11, 0, -13, 11, -10, -11, 12, 11],\n [2, -3, -4, 12, -15, -15, 9, -16, 11, 7, 12, 11],\n [16, -12, 13, 5, -14, 12, 14, 13, 12, 14, 7, 6],\n [7, 8, -15, -11, 15, -4, -1, 9, -7, -13, -3, 7],\n [6, -6, -... | 9166124448422472 | MATH |
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