messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "For the matrix power A^8 where A =\n[[-11, 8, 5, -6, 5, 12, 1, 0, 2, 5, 2, 12],\n [8, 14, -2, -10, 0, 10, 0, -4, -8, 4, 4, 10],\n [5, -2, 0, -10, 2, -12, 0, 12, -8, -5, -1, 0],\n [-6, -10, -10, -6, -4, -4, 3, -8, -2, -12, 8, 4],\n [5, 0, 2, -4, -7, 6, 0, 4, 8, 1, 0, 4],\n [12, 10, -12, -4, 6, 5, -... | -329889886481 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-7, 5, 6, -6, -1, -1, -3, -11, 0, 14, -7, 3],\n [-8, -2, -15, -13, 7, 1, -6, 9, -9, 5, -12, -15],\n [-12, 15, 2, -13, 6, 2, 9, 9, -10, 15, 16, 9],\n [7, 6, 9, 14, -11, 14, -5, 0, 9, -14, -2, 7],\n [13, 10, 5, -15, -10, -1, 7, 13, -16,... | 635503574669 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, 0, -6, 3, 10, -2, -10, -5, 0, -4, 2, 10],\n [0, 16, 8, 4, -8, 0, -11, -4, -16, -8, 0, 0],\n [-6, 8, -12, 1, -2, -4, 5, -6, 8, 5, -7, -9],\n [3, 4, 1, 4, 11, -4, 3, 0, -5, -3, -10, 7],\n [10, -8, -2, 11, 11, 6, 6, -6, -12, 2, -12, 1],\n [-2, 0, -4, -4, 6, 4... | 7913775421210 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (8, 7) of the result:\nA =\n[[11, 14, 11, 10, 4, -8, 12, -2, 16, 11, -7, 6],\n [11, -12, 1, -11, 6, 11, -4, 8, -10, -15, -1, -15],\n [-15, -7, -3, 10, -2, 4, -5, 16, 5, 1, -15, 12],\n [-10, 14, 1, -8, -9, 16, -12, -3, -4, -6, 3, 6],\n [... | -3587619828224 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[9, -14, -10, -15, 16, -5, -5, -7, 10, 1, -13, 6],\n [4, 13, 4, 6, 4, -9, -4, 5, -10, 7, -12, 9],\n [-7, -6, -6, 13, -13, -15, -4, 0, 6, -7, -4, 12],\n [-1, -14, -13, -1, -11, 11, 6, -5, 14, -5, 15, 8],\n [12, 2, 5, 7, 16, -1, -15, -9, -4, 13, -16, -5],\n [-10,... | 1627071991337361 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-13, -12, -4, -13, -13, 3, 4, -10, -6, 6, -2, -3],\n [-12, 10, -12, 8, -14, 7, 1, -12, -16, -4, 0, 6],\n [-4, -12, -4, 6, 0, -6, 6, -4, -8, -4, -5, 8],\n [-13, 8, 6, 5, -2, -8, -2, 4, 4, 8, 0, -7],\n [-13, -14, 0, -2, 3, -10, -8, -4, ... | -1143888681629 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, -5, 5, 7, 2, 7, 3, 10, 12, -16, -10, 3],\n [3, 8, 4, -8, 10, 11, 8, -15, -8, 2, -2, 4],\n [-1, -15, 9, 12, 16, 10, -10, -2, 0, -8, -4, 15],\n [-15, 15, 3, 2, 10, 13, -6, -1, 9, 13, -15, 5],\n [14, 4, 6, 9, 1, -2, 5, 11, -10, 7, -4, -4],\n [14, 2, 12, 5, 4,... | 56362298806871 | MATH |
[
{
"content": "Find the value at position (10, 4) of the 7th power of the matrix:\n[[-4, -14, -9, -15, -11, -2, -5, 15, -11, 10, -4, 6],\n [-7, -3, -14, -5, 8, -16, 15, 7, -8, -16, -7, 13],\n [-12, -13, -9, -1, -16, -2, 7, -2, -11, -15, -12, 15],\n [12, 12, 7, 14, 7, -2, -5, 3, -13, -4, -7, 6],\n [-10, -5, -2, -... | 24166104776 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[9, 6, 8, -6, 11, -12, -6, 4, 4, 0, -12, 7],\n [6, -12, -15, -4, 9, 8, 0, 4, -8, -2, 2, 6],\n [8, -15, -14, -8, 2, -6, 12, 4, 0, -5, -8, 12],\n [-6, -4, -8, 12, 2, 2, -2, 4, -3, 2, 0, 0],\n [11, 9, 2, 2, -5, -4, 7, 8, 2, 0, 10, -10],\n [-12, 8, -6, 2, -4, 12, -... | -135860858385583 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 2, -11, -9, -16, 6, -7, -15, -15, -2, 3, 4],\n [13, 7, -15, 5, 12, -3, -12, 7, 9, -15, 6, -2],\n [-14, -5, 0, 10, 2, 4, 7, 7, 2, 14, 3, -2],\n [16, 1, 0, -9, 3, -6, 13, 10, -3, -2, -5, 3],\n [0, 9, -3, 8, 9, 8, 8, 10, -5, 3, -1, 8],\n [10, 1, -7, 13, -16, -... | 91020417535 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-10, -13, -7, 4, -3, 8, 0, 11, -3, -4, -14, -13],\n [-2, 3, -9, -12, -15, 11, 5, -8, 11, -16, -15, 9],\n [14, 2, 14, -8, -14, -11, -10, 8, 8, -16, 5, 3],\n [-4, 4, 6, 16, -8, 12, 15, -6, 12, 14, -3, 8],\n [9, 5, -8, 16, 6, 3, 16, 13, 13, 5, -16, -2],\n [8, 3, ... | -1094237429531 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[4, 6, -6, 0, -1, 0, 7, 0, -3, -4, -4, 3],\n [6, 8, -12, 8, 5, 8, -2, 0, 4, 6, -11, 3],\n [-6, -12, 4, 5, 8, -2, 10, 8, 10, -6, -3, -4],\n [0, 8, 5, 2, -5, -6, -2, -8, 8, 0, 16, 8],\n [-1, 5, 8, -5, 12, -4, -14, -10, -2, 5, 6, 2],\n [0, 8, -2, -6, -4, 15, 0, -7... | -33471961479184 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[11, 12, -12, 0, 6, 14, -4, 0, -6, 1, 7, 4],\n [12, -8, 4, 0, -2, 10, 2, -12, 2, 0, -5, 2],\n [-12, 4, 2, -8, 6, -11, 2, 12, 8, 1, -1, 1],\n [0, 0, -8, 4, -4, -4, -2, 6, 14, -5, -2, -10],\n [6, -2, 6, -4, 6, -6, -3, 0... | 3158556105225 | MATH |
[
{
"content": "Find the value at position (9, 12) of the 7th power of the matrix:\n[[-11, 4, -2, -8, 5, 5, 10, -2, 12, -4, -3, -9],\n [4, 8, 2, -2, -6, 0, -1, 4, 12, 1, -2, 10],\n [-2, 2, 12, 2, 6, -1, 1, 2, 4, 0, -7, -4],\n [-8, -2, 2, 10, 5, -2, -11, 0, 4, 4, -2, -2],\n [5, -6, 6, 5, 13, -12, -10, -7, -2, -6, ... | 41140329814 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-3, 6, 9, -5, -16, 2, 6, -10, -10, -16, 1, -9],\n [8, 12, 6, 12, -16, -2, -2, 11, 15, -4, 4, -8],\n [3, 3, -9, -3, 3, 4, 5, -11, 10, -13, -13, 11],\n [10, 0, 12, -10, -9, 16, 15, 1, -1, 1, 8, -13],\n [-12, -3, -16, ... | 32355882043436 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[7, 4, -2, -2, 6, -10, -2, 5, -11, 3, 0, 2],\n [4, 12, 2, -11, -6, 8, -10, 2, -1, 6, 15, -2],\n [-2, 2, 13, 0, -8, 1, -1, 6, -8, -2, -6, 1],\n [-2, -11, 0, -11, 8, -4, -1, -4, -2, -3, 6, -2],\n [6, -6, -8, 8, -4, 4, ... | 2541233398468 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -4, -5, -4, 0, -6, 1, 2, 3, 2, 0, -10],\n [-4, 7, -5, -12, 0, 0, -8, -10, -5, 7, -6, -9],\n [-5, -5, 12, 2, -2, 2, -2, -4, -5, 10, 10, 2],\n [-4, -12, 2, 8, -8, 2, 2, 4, -2, 9, -1, 8],\n [0, 0, -2, -8, 9, -14, -2, 1, 4, -10, -2, -6],\n [-6, 0, 2, 2, -14, -1... | 1685814563474 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, -10, 10, 14, -1, -4, 2, -2, -4, 6, 4, 7],\n [-10, 10, -2, 2, -2, 0, 2, 3, -1, -5, -4, 2],\n [10, -2, 11, 16, -2, 4, -12, 5, -4, 0, 4, 1],\n [14, 2, 16, -5, 0, 0, 7, -9, -14, -6, 0, -4],\n [-1, -2, -2, 0, 9, 8, -6, 11, -2, 8, 0, 8],\n [-4, 0, 4, 0, 8, -11, ... | -864685095121 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-7, -4, 4, -4, 2, 0, 14, -7, -1, 8, 3, 10],\n [-4, 7, -10, 2, -7, 6, -6, -6, -5, 2, 4, -6],\n [4, -10, -5, 4, -1, -12, -10, 7, 0, 2, 8, -6],\n [-4, 2, 4, 4, -12, 0, 0, -15, -12, 0, -3, -6],\n [2, -7, -1, -12, 15, 0, 8, -10, 2, -3, -1, -12],\n [0, 6, -12, 0, 0,... | 3352678159 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[2, 12, -11, 12, 7, -7, -3, -11, -13, -2, 11, -15],\n [-4, -15, 15, -12, -14, -15, -3, 12, -11, -9, -15, 9],\n [0, 7, 14, -1, 4, 9, 0, -13, -13, 2, 8, -9],\n [1, 1, -10, 0, -14, 5, -2, 14, 9, -3, 0, -8],\n [-10, 10, 11, -5, 0, -8, -9, ... | 9043620192623 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-2, -12, 14, 6, -8, 6, 11, -6, -6, -4, 4, -6],\n [-12, -6, -1, -6, 1, -4, -6, -8, -11, 8, 12, 2],\n [14, -1, 9, 9, 4, -4, 2, 0, -6, -10, -6, 3],\n [6, -6, 9, -7, 0, -9, -1, -5, 6, 11, 6, -6],\n [-8, 1, 4, 0, 6, 2, -6, 5, 2, -2, -5, -2],\n [6, -4, -4, -9, 2, 6,... | 15204081673896178 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[13, 15, 10, 15, -6, -4, 0, 13, 1, 13, 9, -1],\n [-6, -13, -2, -5, 10, -13, 4, -15, 11, 16, -9, -9],\n [5, 10, 11, -6, 10, -16, 11, 10, -9, 7, 7, 5],\n [-7, -13, -9, -2, -9, 12, -3, 15, -10, 16, 10, -16],\n [-11, -15, -10, -9, 12, -1, 1... | 2916559238175 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1, 3, 6, -1, -6, -5, -2, 0, -8, -12],\n [0, 13, 4, 9, 3, 2, 6, 6, -8, 13, 6, -6],\n [1, 4, -5, 0, -2, -7, 0, -8, 0, 0, 0, 4],\n [3, 9, 0, -14, -4, -2, -4, 2, 9, -2, 6, -5],\n [6, 3, -2, -... | 553104259263 | MATH |
[
{
"content": "Find the value at position (3, 7) of the 7th power of the matrix:\n[[-4, -4, -2, -10, 2, 6, 10, 4, -2, 0, 10, -10],\n [-4, 11, 0, 0, -1, -4, -8, 1, 0, 4, -4, 2],\n [-2, 0, 5, -8, 0, -14, -8, -10, 4, 1, -2, -8],\n [-10, 0, -8, -15, -1, 6, 8, -4, 6, 3, -10, 12],\n [2, -1, 0, -1, -5, -4, -9, -8, 8, -... | -16074636973 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[16, 13, 4, 0, -6, 13, 1, 3, 11, -8, 14, -1],\n [14, 12, -4, 6, -3, -15, -5, 11, 15, 7, 12, 1],\n [-14, -4, -4, 12, -15, 11, -13, -12, -12, -9, 8, 10],\n [-10, 15, 4, 1, -15, -12, 11, 14, 7, 16, -5, -8],\n [-2, 6, 5,... | 48401402646736 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[13, -10, -4, 0, 0, -5, -6, 13, 0, -6, 12, 10],\n [-10, -16, -7, -9, 2, -4, 2, 3, 3, 10, 4, 2],\n [-4, -7, 3, 3, -2, -6, 6, -13, -4, -4, 0, 0],\n [0, -9, 3, 11, 2, 2, 0, -6, 4, -12, 8, -15],\n [0, 2, -2, 2, 13, -1, 6, -4, 10, 0, 8, -6]... | 40520403348941 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (12, 8) of the result:\nA =\n[[-4, 3, 0, 10, -5, 2, 10, -4, 3, -8, -6, 6],\n [3, -6, 2, -7, 8, -4, -6, 1, -7, 1, 9, 6],\n [0, 2, 3, 4, -2, -12, -8, -4, 3, 3, 6, -2],\n [10, -7, 4, -15, 4, -10, 12, 1, -8, 0, -7, 6],\n [-5, 8, -2, 4, -11,... | 393214838608 | MATH |
[
{
"content": "Find the value at position (11, 5) of the 7th power of the matrix:\n[[9, 3, -11, -2, -13, -11, -15, -2, -5, -10, 5, -9],\n [-6, -15, 13, -13, 8, 4, 8, -8, -9, -12, 11, -15],\n [4, -9, 6, -2, 10, -15, 11, -6, 4, 15, 15, -10],\n [5, -3, -4, 4, 5, -7, -16, -16, 7, -14, 14, -4],\n [-13, 6, -11, 1, 9, ... | 28470113579 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-12, -12, 8, 7, 14, -3, 10, -13, 6, -12, 10, -3],\n [-10, 1, 15, -15, 3, 12, 9, -16, -12, -3, 8, -8],\n [13, 2, -9, -1, -9, 6, -8, 15, 1, -2, -2, 12],\n [6, 6, -16, 5, -10, 15, 11, 15, 16, -4, 11, -8],\n [-14, 0,... | -6073129224865 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 1) of the result:\nA =\n[[16, 5, 2, 7, 2, -12, -5, -8, 4, 12, -6, 6],\n [5, -10, -4, -13, -11, -8, -4, 2, 6, 10, 0, -2],\n [2, -4, -11, -8, 4, -7, -1, 4, -2, 6, -14, 4],\n [7, -13, -8, -14, 5, -4, 7, 6, 2, 5, -10, -6],\n [2, -11, 4,... | 1462377016 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 12, 9, -4, -2, 3, 10, -8, 11, -4, -10, 2],\n [12, -8, 4, -6, 8, 6, 0, -8, -4, -4, 3, 10],\n [9, 4, -8, -6, 7, 4, -10, 0, -10, -14, -2, 0],\n [-4, -6, -6, 12, 8, 4, 6, -2, 13, 13, -3, 0],\n [-2, 8, 7, 8, 3, -10, -... | 5832210475438 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-11, -10, 10, 8, 0, 12, 6, 2, -2, 8, 5, -8],\n [-10, 5, -2, 3, 6, -4, 2, -1, 0, -14, -4, -2],\n [10, -2, 4, 6, -4, 13, 2, 4, 0, 2, -16, 4],\n [8, 3, 6, 2, -4, -9, -8, 6, -8, 2, -8, 8],\n [0, 6, -4, -4, 4, 7, -12, 4, -8, -11, -10, 2],\n... | 3592186811687 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 9th power of the matrix:\n[[6, 14, 0, -4, -2, 6, -1, -6, -2, -2, -14, 11],\n [14, 0, -4, -12, 6, 4, 6, 4, -2, 8, 0, 4],\n [0, -4, -2, -2, -8, 2, 2, 15, 0, -6, 6, 6],\n [-4, -12, -2, 12, -3, 0, 2, 5, 6, 2, 0, -2],\n [-2, 6, -8, -3, 11, -10, 6, 2, -8, 8, -2, ... | -4681813274589 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[2, 6, 3, -11, 7, 5, -11, 7, 5, 1, -1, -4],\n [7, 2, 3, 10, 0, -1, -16, 4, 10, -16, 13, 3],\n [7, -15, -2, 12, -4, 2, -16, -1, -14, -11, 14, -12],\n [9, 11, -2, -8, 5, 4, 12, 9, -11, -6, 3, 3],\n [10, -11, 16, 13, -12... | 551871945814026 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[0, 9, -4, 7, -10, -1, -3, 12, 8, 4, -8, -2],\n [9, 4, -2, -2, -6, -4, 10, 8, 12, -11, 0, 0],\n [-4, -2, -13, 2, 6, 13, -8, -1, 7, -5, 12, 2],\n [7, -2, 2, 10, -6, -1, 5, -12, 6, -8, 8, 10],\n [-10, -6, 6, -6, -1, -10, -6, -2, 2, 14, -6... | 873882918657311 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-15, -2, 14, 7, -4, 5, -6, -2, -2, 6, 7, 4],\n [-2, -7, -5, -2, 6, 0, 12, -4, 2, -4, -2, 11],\n [14, -5, -3, -15, 0, 2, -4, 2, -4, -2, -6, 12],\n [7, -2, -15, -6, -8, -6, 12, -15, -3, -14, -8, -3],\n [-4, 6, 0, -8, 12, 0, -1, -12, 4, 6, 3, 4],\n [5, 0, 2, -6, ... | 16177368345443220 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[15, 1, -6, 11, -4, 3, -10, 8, 6, 10, 12, 6],\n [1, -4, -6, 3, 5, 4, 14, -8, -2, 0, 2, -5],\n [-6, -6, -7, -2, 9, 1, 3, -4, 7, -4, 7, 2],\n [11, 3, -2, 8, -8, 2, -2, 4, 2, 16, 4, -2],\n [-4, 5, 9, -8, 0, -6, -2, 12, 2, 4, 4, -6],\n [3, 4, 1, 2, -6, -16, 0, -4, ... | 1482673611747778 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-5, 3, 4, 12, 2, 4, -2, 10, -8, -1, 13, 8],\n [3, -4, -12, 1, -12, 2, 2, 10, 0, 4, 2, -2],\n [4, -12, -12, 3, 12, -10, -2, -2, 4, -10, 0, 6],\n [12, 1, 3, -6, -2, 0, -14, -10, 0, -2, -2, 0],\n [2, -12, 12, -2, 8, -6, 1, -10, -14, 0, 10, 4],\n [4, 2, -10, 0, -6... | -45864617479090 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[14, 1, -5, -13, -8, 8, 0, 2, -1, -10, -10, -11],\n [1, 11, 4, -4, 4, -3, -2, -2, 13, 6, 2, -3],\n [-5, 4, -7, -2, 4, 8, -6, 7, -1, -14, -12, 4],\n [-13, -4, -2, 2, -12, 10, 8, -4, 2, -6, 8, 2],\n [-8, 4, 4, -12, -16, -14, -3, 12, 8, -8, -6, -4],\n [8, -3, 8, 1... | 9151988615994124 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[4, -14, -2, 0, 10, -2, 10, -2, 0, 7, 0, -2],\n [-14, 6, 2, -4, 7, 13, 9, -10, 8, 2, 6, -2],\n [-2, 2, -1, 4, -6, 6, 8, -11, 2, 10, -6, 2],\n [0, -4, 4, -1, 0, -2, 4, 4, 2, 4, 8, -4],\n [10, 7, -6, 0, -14, -5, -2, -4,... | 196444630983929 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[4, 6, -8, 0, 0, -9, 5, 4, -2, -1, -4, 10],\n [6, 3, -6, 11, 2, -2, 3, -4, 2, -6, 4, 1],\n [-8, -6, 11, 10, 2, 3, 6, -2, 0, 6, 8, -10],\n [0, 11, 10, -10, 10, 0, 8, -7, -6, -6, 4, 2],\n [0, 2, 2, 10, 11, 6, 6, 12, 8, 2, 2, 0],\n [-9, -2... | 20997008770379 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-8, 0, -8, -1, 2, -8, -2, -4, -1, 6, -12, 8],\n [0, -7, 1, 0, 10, -5, -6, 4, -14, -8, 14, -2],\n [-8, 1, 11, -6, -6, -1, 0, 4, -6, -2, -7, 6],\n [-1, 0, -6, 0, -10, 10, 10, 2, 0, 8, -1, -6],\n [2, 10, -6, -10, -2, 0... | 5279461082806438 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 5) of the result:\nA =\n[[12, 1, 0, 2, 4, -10, -8, -4, 12, 9, -6, 11],\n [1, -16, 5, 0, -1, -9, 6, -14, -7, 0, 4, 8],\n [0, 5, -16, 6, 5, 12, -13, -12, 1, -2, -12, -2],\n [2, 0, 6, 2, -10, 0, 6, -13, -7, 10, 4, -1],\n [4, -1, 5, -10... | -27476416952 | MATH |
[
{
"content": "Find the value at position (8, 5) of the 9th power of the matrix:\n[[-10, -7, 5, 8, 12, -2, 2, 1, -14, -11, 5, 14],\n [4, -9, -16, -14, 12, -11, 16, 1, -16, 5, 14, 6],\n [-9, 12, 2, -1, 2, 5, 2, -13, -12, -12, 8, 7],\n [-16, 11, 4, 2, 6, -3, -11, 15, 15, -9, 5, -9],\n [-7, -14, -4, 13, -13, -11, -... | -25908742539377 | MATH |
[
{
"content": "What is the value at position (4, 10) of the matrix A^7 where A is:\n[[-8, -10, 8, 14, -4, 12, -4, -6, -5, 8, -6, -1],\n [-10, 9, 0, -10, 4, -1, 6, 3, -5, 12, -4, 0],\n [8, 0, -13, 2, 8, 0, -12, -10, 0, 4, -4, 5],\n [14, -10, 2, -2, 0, 4, -8, 0, -4, 0, -8, 6],\n [-4, 4, 8, 0, -6, 0, -5, -8, -12, 6... | 8986563938 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[0, -13, -3, 4, -9, 16, 11, -14, -3, 2, -11, 3],\n [-16, -7, -4, -5, -6, 0, 12, -14, 12, -7, 2, -13],\n [-5, 14, -15, -16, 0, 8, -12, -3, -7, 4, 8, -14],\n [1, 16, 0, -11, 9, 14, 11, -4, 4, 9, 14, -1],\n [14, -4, ... | 37986654562617 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[5, -4, -9, 6, 10, -4, 4, 12, 5, 4, 2, -2],\n [-4, -10, 0, 12, 1, 9, -4, 3, -2, -7, -8, 4],\n [-9, 0, 2, 2, 2, -6, 7, -11, -6, -1, 13, -13],\n [6, 12, 2, -10, 10, -10, -1, -2, 2, -6, 0, -4],\n [10, 1, 2, 10, 14, -8, -2, -13, 10, 7, -4,... | 31511780482264 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-16, 11, 9, 9, -12, -15, 15, 13, 7, 11, -14, -7],\n [-11, 14, -4, 3, 15, -7, 9, 2, 12, -4, 3, 1],\n [-9, -1, 6, 15, -4, 9, -16, -15, -4, 10, -13, 3],\n [-14, 6, -15, -1, -7, 11, 1, -15, -3, 3, 6, -10],\n [-3, -9, -1... | 2062634384259 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[9, 0, 4, 2, -6, 4, 9, 2, 2, 0, -4, -5],\n [0, 7, 0, -8, -9, -12, 5, 8, 6, -1, -10, 0],\n [4, 0, 9, 4, 4, -4, 6, 10, 4, -8, 0, 4],\n [2, -8, 4, 9, -1, -4, -5, 10, 10, 10, 4, -4],\n [-6, -9, 4, -1, -15, -8, 4, 16, -1, -4, -10, -4],\n [4,... | -157734050270 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^9 where A is:\n[[4, -2, -4, 10, -2, -6, -8, 0, 4, 6, 13, -5],\n [-2, 15, 12, -3, 6, 2, 0, -10, 14, -2, 4, -6],\n [-4, 12, 12, 2, 6, 12, 8, 0, -8, -2, 2, 12],\n [10, -3, 2, -14, 11, -9, 6, 11, 8, 0, 5, -2],\n [-2, 6, 6, 11, 13, 4, -14, -9, -7, 10... | 123952696693918 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[16, 0, -1, 6, -2, -4, 0, -14, 0, 0, 0, 4],\n [0, 11, -7, -8, -2, 8, 2, -1, 10, 0, -4, 8],\n [-1, -7, 7, 4, -6, 7, 16, -10, 8, -6, 2, 15],\n [6, -8, 4, -3, -4, 4, -4, -2, -9, -4, 9, 12],\n [-2, -2, -6, -4, -7, 2, -2, -1, -5, 4, 2, 12],\n [-4, 8, 7, 4, 2, 1, -8,... | 3303020485 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[15, -4, 1, 5, -13, 6, -10, -6, -12, 8, 11, -3],\n [10, -1, 10, -15, 2, 6, -3, 9, -9, 10, 11, -13],\n [-6, 7, 11, 1, 4, 9, -14, -4, 11, -3, -16, 11],\n [-6, -13, -16, -7, 0, -10, -4, 5, -16, 11, 16, -4],\n [-16, 8, 4, 16, -14, 13, -14, 1, 6, -9, -8, -15],\n [-1... | 9985562518 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-16, 4, -12, -8, -4, 4, -2, 1, -1, 3, 2, -2],\n [4, -8, 7, -6, -4, 6, -1, -10, 10, -10, 6, 8],\n [-12, 7, 14, 8, -12, 10, 0, -3, 4, 7, -2, -4],\n [-8, -6, 8, -5, 10, 0, -2, -2, 14, 6, 1, -4],\n... | 1425485153608 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-13, 12, 0, 8, 0, -12, -8, 0, 0, -4, 2, -10],\n [12, -10, 3, 8, 8, -6, -6, 3, -6, -8, -5, 6],\n [0, 3, 7, 10, 10, -2, -12, -2, 2, -2, -6, -2],\n [8, 8, 10, 8, -6, -8, -4, 6, 12, -3, 4, 1],\n [0, 8, 10, -6, 4, -6, -5, 2, -2, 6, 2, 1],\n [-12, -6, -2, -8, -6, 3,... | -27229666012737 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-9, 4, -12, -2, 9, 8, -10, 8, 10, 3, 1, 2],\n [4, 1, -6, 1, 0, -9, 7, 4, 14, -10, -10, 0],\n [-12, -6, -15, 1, 5, -12, 8, 4, -7, 3, -9, 5],\n [-2, 1, 1, 9, -8, -1, 6, -8, -2, 6, 6, 3],\n [9, 0, 5, -8, 11, 2, -12, 0, 1, 2, -4, 4],\n [8, -9, -12, -1, 2, 4, 7, -1... | 8972649283946 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 8) of the result:\nA =\n[[-9, 6, 12, -4, -8, -8, 0, -3, -2, -2, -1, -7],\n [6, 7, 0, 2, 3, -4, 2, -8, -8, -8, 11, 2],\n [12, 0, -16, 2, 2, 1, -10, -1, -9, 4, -2, 2],\n [-4, 2, 2, -16, 1, 1, 0, -13, -1, -11, 10, -1],\n [-8, 3, 2, 1, ... | -49535883443 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[11, 11, 10, -7, 6, 8, 2, -10, 2, 8, -4, -6],\n [11, 11, 0, 4, 0, -2, 0, 8, -6, 6, -12, 11],\n [10, 0, -2, -12, 1, 4, -8, -11, -6, 14, 3, -2],\n [-7, 4, -12, 12, -2, -4, 2, 10, 15, -2, 12, -1],\n [6, 0, 1, -2, -1,... | 1904022434233595 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[3, 10, 0, -4, 1, 2, -14, -2, -5, -2, -3, -2],\n [10, -16, 0, 0, 13, -7, 2, 1, -12, -5, 2, 0],\n [0, 0, -8, -7, -8, -11, 1, -4, 10, 12, -9, -9],\n [-4, 0, -7, 0, 0, -1, -4, -8, 0, 4, 4, 11],\n [1, 13, -8, 0, 16, 7, -1, -6, 4, -8, 3, -6],\n [2, -7, -11, -1, 7, -... | 1241998285974884 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[12, -3, 8, 9, -7, -3, -12, 5, -6, 12, -10, 1],\n [14, 3, -10, 13, -13, 13, 13, 13, 1, -7, -3, 6],\n [-5, -5, 9, -11, -2, 2, 6, -4, 14, 9, 1, 16],\n [15, -13, 2, -10, 9, 6, -10, -6, -9, -4, 15, 1],\n [-2, 7, 4, 1,... | -17286804121 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-14, 11, 6, 5, -10, 4, -1, 12, 0, -9, 3, 4],\n [11, 3, -8, -13, 4, -3, -3, 6, 2, -8, -6, 4],\n [6, -8, -10, -16, -2, 7, 10, -2, -6, 14, 14, -1],\n [5, -13, -16, -4, 0, 6, -11, 2, -5, -4, 0, -7],\n [-10, 4, -2, 0,... | 2840471854258 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[16, 1, -12, -16, -10, -14, -5, -2, -13, 16, -1, 12],\n [-11, 6, -4, -16, -5, 10, 8, 5, 1, -1, 12, 13],\n [13, 3, 5, -13, 14, -3, -9, -12, -9, -6, 12, 4],\n [-4, 2, -14, 2, 15, -3, -10, 3, 15, 14, 5, -12],\n [14, -2, 0, 2, -7, 8, 11, -2, 3, -4, 3, 14],\n [1, 11... | -44020592395918 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-2, 8, 3, -4, 1, -5, -10, 4, 0, 10, 6, -2],\n [8, 3, -6, 0, 14, -6, -4, 4, -2, 8, -1, -12],\n [3, -6, -1, -9, 8, 7, -5, 8, -2, 2, -3, -4],\n [-4, 0, -9, 9, -6, 7, -2, 0, -4, -1, 0, -10],\n [1, 14, 8, -6, 6, 6, 4, -3, -2, -9, -4, 8],\n [-5, -6, 7, 7, 6, 5, 0, -... | 371285506313 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-14, -12, 12, -4, -13, -11, -11, -6, 10, -13, 10, -1],\n [1, -10, -6, -9, -11, -12, -11, -15, 14, 15, -8, -2],\n [4, 11, 10, -12, 0, 7, 14, -13, 3, 0, -7, 4],\n [4, -1, 16, -7, 1, 16, 12, 14, 7, -5, 3, -11],\n [-9, -3, -12, -14, 5, -9, -3, -10, -13, 2, 7, -1],... | -12437512413 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 0, -12, 6, -3, 1, -6, -8, 2, -3, 6, -2],\n [0, -6, 7, 8, -4, -10, 6, -3, 8, 7, 6, 6],\n [-12, 7, 7, -1, -8, 14, -4, -6, -12, 0, -6, 6],\n [6, 8, -1, 5, -8, 4, 0, -4, -1, 0, -15, 0],\n [-3, -4, -8, -8, -8, 6, 0, 6, 12, -2, -2, -7],\n [1, -10, 14, 4, 6, -4,... | 17057130076 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-8, 10, 5, 5, -2, 1, -8, 0, -12, 4, -1, 2],\n [10, 3, -6, -14, 5, -5, 8, -11, -10, -4, 16, 2],\n [5, -6, 9, -4, -2, -4, 8, -12, 0, 8, 9, 12],\n [5, -14, -4, -1, 11, 4, 12, 1, 5, 3, -2, -7],\n [... | 6176696881516 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-11, 14, 0, -2, 9, -10, -4, -6, 9, 4, 4, 12],\n [14, -15, -9, 10, -4, -1, 2, -8, -14, 10, -6, 9],\n [0, -9, 4, -8, 2, 15, 2, 5, -8, 2, -2, -2],\n [-2, 10, -8, 10, 3, 2, 9, -2, 1, -4, 7, -5],\n [9, -4, 2, 3, -7, -8, 0, 6, 0, 1, -7, 2],\n [-10, -1, 15, 2, -8, 14... | -44268805933374 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[15, 4, 2, -2, 8, 10, -2, -2, -2, 4, -6, 10],\n [4, 0, 3, 0, -10, 8, -6, 0, -2, -14, 4, -12],\n [2, 3, 14, 10, 12, 5, 8, -9, -11, 12, 1, 14],\n [-2, 0, 10, 0, 2, 8, -6, -4, -8, -8, -4, -2],\n [8, -10, 12, 2, 4, 9, 6, -6, 0, 8, -4, 9],\n [10, 8, 5, 8, 9, 12, 13,... | 4613769145235 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-4, -5, -11, -2, 1, -14, 5, 11, -5, -16, 13, 6],\n [11, -12, -7, -12, -3, 7, 11, 4, -5, 3, 15, 4],\n [0, -16, 11, -15, 0, -3, -3, 1, -16, 1, 6, -1],\n [2, -11, 7, 0, -1, -11, -1, -8, 12, -13, 9, 9],\n [-3, 7, -9,... | -184265695027398 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-6, -4, -5, -10, -7, -10, 10, -10, 7, 6, 8, 16],\n [-10, 13, 14, 4, 4, 3, -9, 15, 13, 12, -12, 13],\n [-5, 10, -4, -7, 14, -1, 9, 3, -9, -13, 12, 14],\n [-15, 8, -14, -12, 5, -1, -8, -8, -5, -13, 1, 1],\n [16, -14, 0, -5, -6, 0, -11, -... | 49103917731160 | MATH |
[
{
"content": "Find the value at position (4, 10) of the 7th power of the matrix:\n[[13, 9, -2, 13, 12, 15, 13, -1, 1, 11, 2, -6],\n [0, 4, 16, 12, -13, 15, -6, 9, 1, 15, 10, -1],\n [-7, 16, -7, 9, 8, -15, 9, 3, -14, 15, -16, 7],\n [16, 0, 16, -6, 6, 15, 2, -5, 11, -15, -7, 2],\n [11, -9, 6, 13, 11, -4, -5, -7, ... | -17910610810 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[7, 1, 16, -10, 12, 2, 8, 0, -14, 7, 1, 9],\n [4, -6, 0, 4, -13, 15, 1, 11, 9, 7, -7, -9],\n [-15, 4, 10, 6, 15, 9, -10, 16, 0, -9, 0, 1],\n [6, -5, 6, 16, 11, 6, -10, -15, -16, -13, -9, 12],\n [1, 14, -11, 7, -2,... | 284073430173 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 4, -4, 2, -4, -5, -1, 8, 6, -4, 0, 0],\n [4, -16, 2, -10, -10, -3, -4, 2, -2, 6, -1, -4],\n [-4, 2, -13, -8, 8, -2, -8, -2, -8, 2, -6, 6],\n [2, -10, -8, -14, 7, -4, 1, 4, -12, 6, 12, 4],\n [-4, -10, 8, 7, -8, 14, 8, -1, -3, 2, 8,... | -440930172474 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (1, 3) of the result:\nA =\n[[11, 4, -11, -15, -7, -8, -14, -15, -9, -8, 9, 13],\n [-9, -14, -6, 8, -12, -5, 13, 10, -12, 3, 4, -14],\n [-13, 7, -10, 7, -6, -15, -11, -10, 1, -8, 11, 2],\n [-13, -13, -4, 11, -6, -15, -11, -5, 7, -8, 9, ... | -59199672235 | MATH |
[
{
"content": "Find the value at position (6, 1) of the 7th power of the matrix:\n[[5, 2, -6, 0, 4, 6, 0, -11, -3, 1, -13, -3],\n [2, -2, 10, -8, 0, 0, 3, 6, 1, 12, 10, 4],\n [-6, 10, 7, -2, -1, 7, 0, 0, -6, -6, 4, -8],\n [0, -8, -2, -3, 2, -16, 8, -6, -12, -10, 5, 4],\n [4, 0, -1, 2, 14, 6, -1, 4, 12, -4, 6, 1]... | -8681500989 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, 2, 6, 13, 2, 7, 9, 4, 2, 6, 6, 1],\n [2, 7, -4, 2, -2, 2, 2, -2, -4, 7, -9, 2],\n [6, -4, 2, -8, 3, 8, 10, -4, -2, -4, -4, 6],\n [13, 2, -8, 6, 8, 0, -2, -2, -4, -1, -6, 2],\n [2, -2, 3, 8, 16, 0, 8, -8, -4, 1, 2, 6],\n [7, 2, 8, 0, 0, -6, -6, -2, 2, -2, -9... | 244795909385 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-3, 12, 13, -13, -10, 9, 15, 16, 7, -16, 12, 4],\n [6, -12, 13, 1, -11, -12, 1, -4, 3, 4, -13, -4],\n [1, -4, -4, 10, 9, -5, -15, 3, -7, -9, 14, -2],\n [1, -2, 2, 7, -15, -4, -8, -15, -1, -15, -1, -9],\n [-16, 1, 9, -12, 4, 11, 9, 15, 4, -13, 7, 16],\n [-12, -... | 41717705754565 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[8, -1, 11, 0, -6, -2, 1, 8, -2, -2, 12, 6],\n [-1, 10, -8, -4, 6, 0, 6, -11, -10, -2, 6, -3],\n [11, -8, 11, -4, 6, 2, 11, 10, -10, -3, -12, -13],\n [0, -4, -4, 10, 11, 2, 0, -10, 2, 14, -3, 8],\n [-6, 6, 6, 11, -7, 6, -10, -6, 0, -11, -7, 13],\n [-2, 0, 2, 2,... | 134674745103 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[5, -11, 2, -6, 7, 6, -13, 1, 13, -2, 6, -5],\n [-13, -13, -3, -9, 6, -16, -6, 10, -13, 12, 0, 2],\n [7, 15, 14, -1, 15, -1, 4, -4, 1, -15, 16, 1],\n [11, -5, -9, 8, -10, -15, 16, 16, 6, -12, -3, -9],\n [3, 1, 6, 12, -10, 7, 8, -3, -14... | -12630676721327 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[5, 2, 2, 6, 0, 5, 5, 2, -5, -2, 0, 8],\n [2, 9, 14, 8, 12, -6, 6, 7, -4, 2, 0, -6],\n [2, 14, -2, -9, -2, 4, -8, 6, -8, -7, -1, 4],\n [6, 8, -9, -9, -6, 14, -4, -8, 0, 4, -7, 14],\n [0, 12, -2, -6, 0, -9, -4, -7,... | 451677592549199 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -5, 10, 3, 8, 6, -7, -12, 9, 2, 10, -2],\n [-5, -11, 2, 2, -5, 10, -5, -12, 0, 1, -2, -4],\n [10, 2, 5, 8, -4, -12, 7, 0, -12, -8, -10, 3],\n [3, 2, 8, -8, -4, -6, 8, 6, -7, 6, 10, 0],\n [8,... | 71153018584960 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 11, 0, 4, 12, -2, -12, 15, 2, 0, 0, -2],\n [11, -2, -2, 2, 12, -6, 0, 0, 0, -9, 2, 6],\n [0, -2, 12, 12, 10, 1, 9, 4, -2, -1, 9, -2],\n [4, 2, 12, 14, -8, 3, -2, 5, 10, -14, -6, 0],\n [12, 1... | 4539358625338082 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 8th power of the matrix:\n[[3, -2, -14, -14, 6, -8, -6, -4, -9, 5, 10, 9],\n [6, 14, 12, -16, -7, -13, 14, -13, 12, -8, -2, -14],\n [-2, -6, -11, -10, -13, 4, -16, 6, -4, 11, 12, 1],\n [6, 11, -8, -11, -1, -16, 5, 6, 4, 14, 11, 10],\n [-4, 15, -10, 16, -4, ... | -678783625445 | MATH |
[
{
"content": "What is the value at position (10, 9) of the matrix A^9 where A is:\n[[-7, -4, -8, -6, 0, 12, -9, 4, -13, -6, -3, -4],\n [-4, 6, 6, 2, 10, 0, -5, -5, -12, 10, 2, 8],\n [-8, 6, -5, -1, -10, 8, 1, -5, -10, -7, -13, 2],\n [-6, 2, -1, 15, 6, -11, 1, -8, -6, -2, 0, 6],\n [0, 10, -10, 6, -9, 2, -6, -12,... | 10786244269359 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[13, 14, 3, 12, 0, 2, 2, -8, 5, 12, 8, 11],\n [14, -14, 1, -1, -2, 0, 8, -2, 0, 0, -11, 11],\n [3, 1, 13, -4, -13, -10, 3, 1, -2, 0, 6, -4],\n [12, -1, -4, 1, 0, 3, 5, -14, 0, 0, 4, -10],\n [0, -2, -13, 0, -12, 0, -10, -12, 0, -6, -10, -1],\n [2, 0, -10, 3, 0, ... | -31608599082968 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[2, 0, -1, -1, -13, 13, -12, 16, -8, 0, -5, 7],\n [-5, -2, -1, 6, 1, 5, 14, -2, 4, -9, -11, 0],\n [11, 6, 14, -6, 3, 15, 0, -11, -16, -13, 14, -6],\n [0, -10, -15, -7, -5, 0, 9, -12, -12, 10, -12, -9],\n [14, 16, 4, 4, -2, -15, 13, 11, ... | -79963446606651 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, 9, 2, -6, 0, 6, 4, -6, 2, -7, -2, 4],\n [9, 6, -6, 5, 0, 9, 0, 0, 4, 1, -6, -6],\n [2, -6, -3, -9, -13, 2, -2, -10, 10, -13, 11, -12],\n [-6, 5, -9, 12, -14, 10, 4, -11, -2, 13, -8, -2],\n [0, 0, -13, -14, -12, -10, 13, 6, 4, -4, 1, -6],\n [6, 9, 2, 10, -1... | 13807564091897 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, 2, 1, -5, 1, 1, 8, 0, 0, -4, 6, 12],\n [2, -1, -2, -8, 6, -3, 2, -6, 10, -6, -4, 8],\n [1, -2, -12, 14, 11, 0, 2, 5, -4, -6, 0, -12],\n [-5, -8, 14, -10, -4, -5, -10, -3, 6, 2, -4, 3],\n [1, 6, 11, -4, -9, 3, -14, -8, -2, -2, 0, -4],\n [1, -3, 0, -5, 3, 11... | 154965433804855 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-16, -10, -8, -16, -12, -7, -15, 6, 12, 2, 3, -5],\n [-6, -10, 6, 0, -15, -12, 4, -4, -6, 7, 16, 10],\n [1, 4, -13, 15, -6, -14, 4, -3, -11, 12, 14, 11],\n [11, 2, -14, -5, 7, -5, 7, -16, 11, -1, 4, 13],\n [9, 14, -... | 50366242030950 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-15, -14, -1, -6, 6, 4, 2, -1, 11, -4, -6, 8],\n [-14, -14, -4, -10, -2, 0, 7, 5, -4, 2, -8, 16],\n [-1, -4, 14, -4, -6, -10, -2, -4, 4, 8, 4, 1],\n [-6, -10, -4, -9, -2, -3, 4, -3, 5, 4, -8, -12],\n [6, -2, -6, -2, 9, 1, 4, 6, 10, -8, 0, -6],\n [4, 0, -10, -3... | 4762385307543 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[7, 0, 15, -3, 0, 15, 16, 13, 11, 7, -3, -16],\n [5, 16, 1, -5, -7, -15, -15, -11, 3, 11, -14, 8],\n [6, -4, 7, -14, 11, 9, 3, 10, -16, -7, -7, -16],\n [15, 15, 10, -4, 0, 11, 8, -15, 15, 15, -11, 14],\n [-8, -1, ... | 299479156450 | MATH |
[
{
"content": "Find the value at position (12, 6) of the 7th power of the matrix:\n[[-12, 6, 2, 4, 4, 4, -12, -8, 6, 0, 9, -6],\n [6, -12, -5, -4, 2, -2, 8, 0, 2, 14, 2, 2],\n [2, -5, -14, 0, -4, -1, -6, -6, 4, -12, 7, 4],\n [4, -4, 0, -15, -8, -10, -16, -10, -8, 0, 8, -2],\n [4, 2, -4, -8, 13, -2, 7, 4, -2, 6, ... | 8896211890 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (9, 6) of the result:\nA =\n[[-8, 3, -3, 9, 10, 12, 15, -12, -13, 6, 4, 16],\n [7, -1, 15, 2, 9, -14, 1, -10, 15, 7, -1, 7],\n [-13, 15, 2, -3, -4, 5, 14, 13, 6, -5, -3, -9],\n [7, -14, -3, -6, 11, 6, 1, 3, 16, -15, 9, -15],\n [-14, 3, ... | 21993748306351 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (7, 12) of the result:\nA =\n[[0, 0, 2, -3, -6, -7, 0, -3, -7, -4, 12, 4],\n [0, -6, -11, 6, 12, 4, 0, 14, -12, -8, 8, -12],\n [2, -11, -1, -9, -1, -10, -13, -6, -6, 3, 0, 4],\n [-3, 6, -9, -13, 10, -1, -4, 4, 0, 10, 5, 12],\n [-6, 12, ... | 1267399124510 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[1, 13, -9, -11, 6, 8, 9, -8, -15, -8, 3, 0],\n [13, -10, -1, 14, -4, -12, -2, 16, -4, -6, 1, -2],\n [-9, -1, 10, -6, 0, -4, 1, -2, 4, -4, 6, 4],\n [-11, 14, -6, -12, -1, -2, -14, -2, -5, -4, -9, -2],\n [6, -4, 0, -1... | 15075381640907128 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-14, -7, -12, 7, 3, 14, 0, 7, 1, 9, -10, -3],\n [-15, 13, 0, 3, -7, 7, -5, 10, -2, -8, 1, -10],\n [11, -14, -1, -13, -8, -5, -7, -15, 2, -4, 16, -16],\n [11, -11, -14, 8, -1, -13, -9, -1, 6, -11, -1, -1],\n [6, -1, -5, -8, 1, -8, 4, -16, 6, -12, 2, 16],\n [1, ... | -7006255071079 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[15, -8, 8, -1, -2, 1, 6, -14, -10, -6, 7, 8],\n [11, -5, 6, 0, 1, -8, 1, 3, 4, 3, -11, -8],\n [12, 12, -4, 10, -11, 15, 11, -16, 14, 13, 1, 12],\n [6, 5, -15, -12, -2, 15, -11, -3, 7, 4, -3, -5],\n [-13, 4, 0, 12, -... | 1961827609015 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 7) of the result:\nA =\n[[4, -15, 8, -8, 3, -7, 4, -13, 13, 13, -3, 5],\n [-16, -9, -6, -16, -12, -7, -4, 4, 16, 11, -8, -6],\n [12, -10, 10, 5, 14, 13, 11, 3, -2, -2, -5, 0],\n [6, -11, -1, 10, 6, -16, -10, 1, 5, -15, 9, 15],\n [6,... | -605265432584 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 2, 6, 1, 8, 5, 3, -2, 0, -10, 5, -10],\n [2, -3, 2, 0, -2, 8, 4, 2, -10, 3, -4, -2],\n [6, 2, 7, 6, -8, 12, 11, 8, 1, -4, 2, 14],\n [1, 0, 6, -9, -4, 8, -6, 8, 10, 3, -5, -6],\n [8, -2, -8, -4, -4, -2, 5, -6, -14, 2, -12, -2],\n [... | -19260145236 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -1, 10, 4, -8, 6, -5, -1, -8, -2, 0, 6],\n [-1, 3, 8, -5, 3, -2, 12, -4, -6, 3, -13, 0],\n [10, 8, 14, -2, 0, -3, -8, 6, 6, 0, -2, 8],\n [4, -5, -2, 3, -4, -6, -8, 11, -1, -4, -16, -8],\n ... | 135411355916662 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (11, 7) of the result:\nA =\n[[12, -7, 3, -2, -16, 9, 15, -15, 15, 12, 3, 6],\n [-5, -7, 2, -7, 2, 9, 7, -8, 12, 12, 11, -14],\n [6, -13, -3, -4, 11, 3, 11, 15, -3, -4, -6, -2],\n [-8, -14, -12, 11, -2, -14, -10, 13, 7, 14, -3, -1],\n [... | 2543573146 | MATH |
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