messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-6, -2, 12, 0, -8, 4, 14, 2, 0, 0, -7, 1],\n [-2, 3, 6, -10, -7, -16, 8, 7, -12, -1, 0, -5],\n [12, 6, -16, -4, 11, 6, 8, 2, 1, -1, 4, -10],\n [0, -10, -4, 12, 2, -2, -8, 2, 0, 12, 0, -12],\n [-8, -7, 11, 2, 1, -2, 6... | 12508207140590525 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, 16, 16, -9, -5, 10, 10, -6, -7, 3, 16, 1],\n [-1, -16, -2, -12, -2, 5, 8, 16, 7, -7, -13, -11],\n [-8, -3, 11, 1, 14, 2, 16, 14, 8, -10, -13, -15],\n [8, 8, 8, 5, -16, 15, -2, -3, -10, -14, -15, 12],\n [-7, -4, 2, 1, -13, 13, -8, -7, -16, -15, -12, 15],\n ... | -135188932716 | MATH |
[
{
"content": "What is the value at position (10, 1) of the matrix A^8 where A is:\n[[8, 11, 7, 6, -16, -3, 2, 16, -11, 6, 10, -3],\n [5, -3, 5, -8, -6, -5, 8, -15, -8, 15, -3, 12],\n [2, -12, 0, 5, -6, 13, 12, -2, 0, 10, -15, -11],\n [-13, 6, 14, -16, -4, -11, -1, 15, -2, -13, -5, -7],\n [-15, 7, -1, 0, -9, 12,... | -220704065913 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-13, 3, -14, -8, 10, -12, -13, 2, -1, 5, -1, 4],\n [-12, -1, -15, -4, 15, -3, 4, -13, -7, -1, -6, 16],\n [5, -6, 11, -6, -10, -2, 3, -1, 12, -12, 4, -2],\n [-11, 6, 12, -16, -12, -8, -2, 16, 7, -11, -6, 8],\n [1, 5, -3, -7, 0, 12, -11,... | -245643579460 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[2, -5, 0, -9, 14, 2, 3, -15, -11, 10, 1, 3],\n [-8, -14, 1, -5, 2, 9, 16, 16, -11, -8, -7, 10],\n [0, 3, -4, 14, 0, -6, 10, -4, -2, 5, 8, 2],\n [12, 6, 2, -14, 2, -4, 16, 7, 16, -15, 2, 16],\n [10, -15, 16, -10, -7,... | 1129945392606 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-9, -7, 0, 3, -10, 3, 1, 8, 2, -8, 0, -4],\n [-7, -12, 4, -4, -4, 10, 6, -1, 10, -10, 0, 4],\n [0, 4, 4, -5, 10, 0, 4, 7, 8, -12, 0, -13],\n [3, -4, -5, 13, 1, 4, -1, -4, 8, -12, 10, 8],\n [-10, -4, 10, 1, 3, 14, 6, ... | 1881884893178 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-1, -2, -2, 8, -2, 9, 5, 4, -2, 10, 6, 2],\n [-2, 13, 12, 2, 4, -3, -4, -4, 0, -2, 0, 5],\n [-2, 12, -12, -10, 8, -1, -5, -6, -6, 6, 1, 6],\n [8, 2, -10, 7, 3, -2, -5, 4, -6, 8, -4, 6],\n [-2, 4, 8, 3, -14, -2, 4... | 664449972663134 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[9, -4, 11, 9, 6, -6, -4, 2, -2, 0, -2, 4],\n [-4, -16, 6, -4, -16, -11, 4, -12, 2, 6, -2, -4],\n [11, 6, 10, -10, -8, 2, 2, 4, -12, 7, -2, -6],\n [9, -4, -10, -8, 2, 7, 2, -9, -2, 6, 4, -6],\n ... | 114114702285355 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-12, -2, 15, -14, 6, 10, -4, -8, 12, -5, 6, -3],\n [-2, -8, 8, -4, -11, 2, 5, 2, 11, 1, -4, -4],\n [15, 8, 9, -15, 2, -2, 0, 5, 8, 4, 6, 8],\n [-14, -4, -15, -15, 4, 0, -1, 4, 8, -7, -4, -7],\n [6, -11, 2, 4, 12, 10, 6, 6, 2, 13, 4, 6],\n [10, 2, -2, 0, 10, -1... | 6429945402881 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-15, -8, -3, -6, 2, 0, -8, -4, -4, -7, 1, -5],\n [-8, -3, -4, 6, 9, 2, -4, -5, -3, 0, 2, 10],\n [-3, -4, 2, -7, 1, 8, -10, -4, 0, 0, 1, -1],\n [-6, 6, -7, 4, 4, -11, -2, -9, 8, -4, -3, -3],\n [... | 2164458937596589 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[-1, 12, -6, -4, 2, 1, 8, 2, 6, 4, 6, 2],\n [12, -1, -10, 5, -3, -1, 10, -6, 0, 9, 6, 1],\n [-6, -10, 13, 4, 0, 4, 0, 0, -4, 8, -3, -1],\n [-4, 5, 4, -2, 1, 4, -2, -6, 0, 0, -14, 1],\n [2, -3, 0, 1, -3, -6, 7, -12, -3, 14, 12, 3],\n [1... | 1448739761558668 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[5, 10, -5, 16, -8, -3, 1, 1, -8, -10, 16, 16],\n [-6, -16, -6, 9, -10, -9, 12, -9, 2, 10, 3, -2],\n [0, -13, -15, -10, 2, -5, -3, -12, 9, 8, -7, 3],\n [-5, -10, 7, -16, 6, -8, -5, -13, -13, -11, -16, -2],\n [-9, ... | -3931437855084 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (1, 1) of the result:\nA =\n[[13, 6, -15, -13, 9, -3, -3, -16, 11, 3, 2, -14],\n [16, -3, -9, 3, 5, 9, -3, 6, -12, -16, 9, -2],\n [-5, 4, 0, -8, -16, 14, 0, 3, -13, 8, -10, 10],\n [-15, -12, -13, -14, 8, 9, 10, 16, -8, -9, -4, -13],\n [... | 24888346069778 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-10, 16, -2, 1, 16, -9, -2, 14, 11, -11, -8, -13],\n [0, 0, 2, -1, 4, 15, 10, 4, -4, 0, 5, 3],\n [4, -6, 1, -13, -15, -12, -10, 14, 13, -4, 16, 12],\n [-6, -5, 12, 10, 10, -4, 3, -13, -6, 0, -3, -3],\n [12, 10, 7, -... | 1633916290899 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-8, -10, 4, -3, 8, -8, -6, 0, 6, 8, 10, 0],\n [-10, -5, 15, 2, 6, -2, -5, -6, -5, 3, -12, -4],\n [4, 15, -14, 3, 2, 12, -3, 8, -4, -3, 4, 6],\n [-3, 2, 3, 5, 10, -6, -2, 2, -4, 4, -2, -8],\n [8, 6, 2, 10, 7, 8, 2... | -288999514244 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, -4, -4, -5, 4, 2, 0, -4, 6, 8, 0, 10],\n [-4, 8, -10, -2, 7, 6, 2, -4, -7, 0, -6, 0],\n [-4, -10, 8, -5, 2, 12, 10, 2, 11, -9, -2, -10],\n [-5, -2, -5, -15, -4, 12, -4, -5, 6, -6, -9, 6],\n [4, 7, 2, -4, 15, 6, 0,... | 1969096831274 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-2, 10, 4, 6, -12, -3, -4, 0, 0, -4, -4, 4],\n [10, -8, 6, 0, 4, 9, 0, -2, 8, -14, -2, -14],\n [4, 6, -1, -8, 14, 7, 9, -8, -4, 14, -2, 3],\n [6, 0, -8, 14, 2, -6, -14, 9, -6, -8, -7, 0],\n [-12, 4, 14, 2, -1, 2, -6... | 3106230478406075 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 8, -10, -13, -11, -4, 3, -4, -11, -8, 13, 10],\n [-8, -7, -16, -14, 16, -14, 14, -11, -1, -4, 16, -16],\n [-8, 5, -16, 6, 1, -5, -12, 3, 2, -15, -13, 10],\n [-9, -10, 12, 1, -6, -9, -15, -8... | 364045210801147 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[5, 6, 8, -10, -2, 12, -9, -7, -7, -4, 2, 6],\n [-2, 0, -7, 16, 1, -13, -13, -2, 14, -15, -5, 16],\n [3, -15, -16, 3, 7, -3, 12, 4, 15, 6, 12, -3],\n [-10, 6, 0, 15, -12, 3, -9, -9, 7, 8, 10, 15],\n [-10, -5, -10,... | -113071195761 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[10, -10, 2, 8, 0, -2, 9, 4, -6, -2, -4, -12],\n [-10, -6, -15, 2, -8, 0, 0, 6, 4, 5, 12, 2],\n [2, -15, -7, -4, -2, 4, -1, -6, 6, 12, -5, -4],\n [8, 2, -4, 11, 8, -2, -4, -2, -6, -6, 3, 4],\n [0, -8, -2, 8, 2, -13, ... | 2700019957965 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-6, 2, -4, 10, -10, 6, -3, 9, -6, -7, 9, -4],\n [2, -9, 15, -9, 4, 0, 12, -4, -7, 0, -2, 3],\n [-4, 15, 2, 0, 2, -2, 7, 1, -4, -14, 4, 7],\n [10, -9, 0, 4, -12, 0, -2, -13, -6, -4, -8, 2],\n [-10, 4, 2, -12, 9, 5, 1, 4, 2, -2, -6, 2],\n [6, 0, -2, 0, 5, 2, 6, ... | 9998967835376 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-7, 9, 3, -14, 8, 7, -11, -15, 13, -13, 3, 1],\n [-12, -2, 2, 4, -13, 4, 14, 9, -7, -9, 1, 1],\n [-4, -15, -7, -3, -14, -16, -2, -7, -4, 14, 8, 4],\n [-9, -9, 1, 0, -7, -5, -12, 3, 15, 10, -10, -1],\n [-2, -16, 1, 2, 8, -16, 15, 15, -... | -629442498783 | MATH |
[
{
"content": "What is the value at position (4, 8) of the matrix A^9 where A is:\n[[0, 4, -12, -10, 10, 10, -10, 0, 8, 6, -6, -2],\n [4, 13, 7, -2, 0, -7, 12, -16, -9, 1, -11, 8],\n [-12, 7, -2, -10, 2, 12, 6, 15, -6, -14, 4, 7],\n [-10, -2, -10, 11, -4, 0, -4, 1, -10, -14, 0, 14],\n [10, 0, 2, -4, 14, -7, 0, -... | 99165083703930 | MATH |
[
{
"content": "Find the value at position (9, 4) of the 7th power of the matrix:\n[[0, 0, 9, 3, 2, -12, 6, -2, 12, -15, -6, -14],\n [0, -12, 13, -4, 7, -1, 6, -3, -1, 5, -6, 7],\n [9, 13, 14, 6, 9, 7, -2, 7, 2, -14, -4, 0],\n [3, -4, 6, -11, -4, 7, 2, 6, 2, 6, 2, -6],\n [2, 7, 9, -4, -15, 10, 6, -8, -8, -9, 0, -... | -1277674675 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-16, 9, 10, 8, 2, -8, 13, -6, 12, 0, 11, -15],\n [-4, 4, 6, -14, -5, 2, -12, 16, 16, -8, 11, -14],\n [13, 4, 2, 15, 9, -14, -6, 8, -7, -16, -10, 0],\n [16, 13, 14, 10, 14, 9, 1, -8, 11, 6, -10, 9],\n [4, 15, 12, 10, -13, 14, -6, -4, -1... | 37405042095173 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (1, 6) of the result:\nA =\n[[10, -6, -2, 0, 13, -4, -6, 3, 0, 4, -8, -12],\n [-6, -14, 6, -4, -1, 0, 0, -6, 9, -10, 2, -4],\n [-2, 6, 3, 6, 0, -1, -5, 0, 0, 12, -5, -4],\n [0, -4, 6, 16, -3, -8, 4, 4, -11, -12, 0, 4],\n [13, -1, 0, -3,... | 3576005594400 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 9th power of the matrix:\n[[-6, 3, 10, -12, 6, -1, -1, -6, 6, 8, 0, -4],\n [3, 12, 15, 4, -4, -10, -4, -6, 4, -2, 13, 6],\n [10, 15, -13, 6, 2, -13, -10, -3, -12, 12, -6, -14],\n [-12, 4, 6, -12, -12, 6, 3, 6, 4, 2, 6, 1],\n [6, -4, 2, -12, -1, 6, -12, 1, 4... | -14262263737144 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 11, 0, 13, -5, -10, 16, 5, 14, 8, 7, 15],\n [6, 13, -2, 9, -10, 13, 8, 6, 10, 14, 12, 0],\n [-10, -13, 1, -12, 16, -10, 5, 9, 10, -16, -4, -7],\n [6, -5, -2, -5, 7, 15, 9, -1, -1, 1, 1, -1],... | 20175046254177 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -6, 15, 2, 8, 16, -4, -14, -2, 13, -6, -13],\n [11, 13, -15, -3, 2, 14, 16, -7, -13, 12, -4, -1],\n [14, 16, -6, 9, -13, -9, 13, 3, -1, -2, -13, 10],\n [2, 4, 4, 8, 0, 1, 10, -13, 14, 2, 0... | 3275513359555329 | MATH |
[
{
"content": "What is the value at position (7, 12) of the matrix A^7 where A is:\n[[4, 10, 5, 8, 14, -1, 4, 12, -16, -14, 9, -8],\n [11, -8, -4, 6, -14, 4, 14, -2, 0, -3, -1, 0],\n [9, -3, 5, -14, -14, -2, -13, 15, -1, 13, 16, -9],\n [14, 13, -14, 3, -12, -12, -15, 9, -1, 15, -15, 10],\n [-2, 6, 5, 3, -16, 12,... | -16819908144 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-9, 8, -10, -5, 1, 10, 2, 4, 10, 4, 14, -12],\n [8, -14, 0, -2, -4, 10, -8, 6, -2, 8, 2, 5],\n [-10, 0, 10, 6, 8, -2, -2, 0, -16, -4, 2, 0],\n [-5, -2, 6, -13, 10, -5, -4, 10, -4, -11, 2, -6],\n [1, -4, 8, 10, 1,... | -20425454581349 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -5, 6, 4, -12, 1, -1, 16, -10, -7, -13, 3],\n [-5, -1, 1, -14, 11, -10, 9, 12, -9, 7, -8, -15],\n [9, -5, 3, 3, 8, 11, 3, -15, -12, 6, -1, -16],\n [-1, 2, 2, 13, -8, -2, -7, -14, -1, -2, -8,... | 487182758533212 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^8 where A is:\n[[16, -7, -4, -7, -2, -8, 9, -15, 5, -5, 0, 1],\n [4, 5, 4, 8, -4, 2, -2, -7, -10, 7, -4, 10],\n [-10, -11, -1, -12, -4, 9, 0, -6, -3, 5, 14, 12],\n [12, 11, 3, -12, 11, 14, 5, 11, 10, 9, 9, 10],\n [11, 2, -10, 12, 7, 5, -9, 3, 6,... | 114089145494 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-6, 7, 4, -10, 8, -4, -8, -9, -12, -14, 8, -5],\n [7, 16, -4, 14, 10, -9, -16, -6, -2, -1, 8, 2],\n [4, -4, -1, 14, -1, 8, 6, -5, -7, -4, 4, -8],\n [-10, 14, 14, 16, -2, 4, -2, -10, 2, 6, 12, 6],\n [8, 10, -1, -2, -... | 129818584684901 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-13, -2, 3, 6, 3, 1, 0, 8, 8, 2, -12, -14],\n [-2, -11, 6, -2, 16, 0, 8, -2, 7, -12, 4, -12],\n [3, 6, 15, -4, 1, 6, 6, 2, 0, -2, 0, 8],\n [6, -2, -4, 5, 6, -14, 0, 0, -3, -1, 11, -1],\n [3, 16, 1, 6, -5, -2, 12, -4,... | 445093545789936 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[1, 11, 0, -1, 0, 10, 10, -16, 10, -16, 10, 7],\n [4, 1, -12, 1, -10, 1, 8, 15, -16, -7, 15, -8],\n [3, 8, 11, -1, 11, 3, 10, 9, 9, 9, 5, -10],\n [-13, 7, 13, -8, 6, 12, -12, 16, -4, 6, 9, 10],\n [-8, 0, 5, -3, -5... | 9417828061 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-13, 3, 1, -8, 1, 13, 9, 13, 0, -3, 11, 8],\n [15, -5, -2, -11, -15, 14, -11, -11, -15, -7, 9, -11],\n [3, 4, -7, 7, -2, -5, 13, -4, 11, 0, -11, -15],\n [-3, 7, -16, -10, -7, -1, 2, 9, 11, -1, 6, 6],\n [-9, -8, 9, -8, -8, 3, -12, -3, 8, 1, 15, 6],\n [-2, -5, 0... | -159720295912 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -2, -14, 9, -10, 0, 6, 4, 2, 6, 0, 2],\n [-2, -12, 2, -4, 10, 14, -10, 7, -9, 15, -4, 12],\n [-14, 2, -16, 0, -8, -3, -4, 6, 6, -8, 12, 8],\n [9, -4, 0, 6, 6, -6, 7, 0, 2, 3, 10, 6],\n [-10... | 199951804277327 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[13, -4, 4, 0, 6, 8, 10, 6, -1, 2, -1, 10],\n [-4, -16, -10, 8, -6, 2, -2, 4, 4, 12, -2, 4],\n [4, -10, 12, 0, -1, 0, -6, 11, -4, -2, -8, -1],\n [0, 8, 0, -16, 0, 2, -2, 0, -1, 6, -9, 6],\n [6, -6, -1, 0, -12, -6, -4... | 2980501493203 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[13, -2, 0, 9, 7, 2, -7, -2, 1, 10, -6, -10],\n [-2, -12, -2, 6, 10, -2, -10, -8, 8, 2, -6, 12],\n [0, -2, 5, -1, -8, 10, 5, 0, -8, 2, -12, 2],\n [9, 6, -1, 11, -2, -8, 0, -4, 6, 2, 2, 4],\n [7, 10, -8, -2, 6, -2,... | 1503536953556 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 2, -1, -8, 10, -6, 2, -9, 3, -6, -4, 0],\n [6, -5, -8, 10, 8, 6, -8, 8, 8, -7, -2, -14],\n [7, 7, -8, 16, -3, -14, -11, -1, 0, -12, 5, -1],\n [-4, -5, -7, -7, -3, 16, 11, 5, 1, -2, 0, -15],... | 479240568334573 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-7, 9, 7, 3, 16, 6, 8, -9, -11, 15, -9, 16],\n [-15, -14, -15, -7, -12, 16, 5, -13, 2, -7, -14, -9],\n [1, -15, -7, 3, 13, -10, 8, -3, -7, -3, 16, -8],\n [2, 4, 14, -14, -13, 15, -4, 1, -7, 0, 7, 2],\n [16, -11, ... | -13984611295626 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 3, 2, -13, 6, -6, -16, -14, 2, -10, 0, -7],\n [-10, -8, 12, 5, 13, 16, 5, -1, -14, -7, 0, -6],\n [11, 0, 16, 13, 6, -11, 0, -4, 2, 1, 16, -15],\n [8, 6, -6, -12, -1, -6, -13, 12, -8, 1, 1, 1... | 13880665286420 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[6, -11, 0, -6, 2, 12, -2, 4, -4, 2, 0, 4],\n [-11, 11, 3, 0, 6, -12, 7, 7, -6, -5, 0, 0],\n [0, 3, 4, 12, -7, -2, -2, 9, 0, -4, 6, -4],\n [-6, 0, 12, -14, 5, -6, -4, 3, -4, -4, -4, -4],\n [2, 6, -7, 5, 4, 2, 0, 2... | 3388586686109 | MATH |
[
{
"content": "Find the value at position (12, 9) of the 8th power of the matrix:\n[[6, -2, 2, 7, 2, 4, 12, -9, 2, 7, 11, 2],\n [-2, 11, 0, 8, -8, 0, -4, -3, -3, 0, 7, 0],\n [2, 0, -7, 0, 0, 0, -8, 12, 8, 5, 6, -10],\n [7, 8, 0, 10, 4, 5, -12, 2, 2, -7, 4, 6],\n [2, -8, 0, 4, -15, 4, -2, -12, -10, 2, -12, 0],\n ... | -744164093818 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-3, -3, -16, 6, -16, 11, 15, 6, 11, -12, -1, 3],\n [3, 0, -12, 3, -12, -14, 15, 8, -16, -15, -7, 1],\n [-4, 5, -10, 14, 15, -15, -13, 14, -9, -4, -15, -13],\n [13, 13, 0, -1, 15, -14, 11, -16, 8, 14, 10, -4],\n [10, 6, -13, -9, 2, 1, -... | 1896909082598 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[3, -7, 1, 16, -14, 9, 2, -15, 5, 9, 6, 16],\n [11, 14, -14, -14, -15, 12, 14, -2, -7, 5, -8, -3],\n [3, -16, 9, -1, -1, -3, 8, 4, -2, -15, -12, 2],\n [-6, 11, -15, 16, 4, 11, 0, -5, 14, 8, 3, 6],\n [-11, -1, -14, 10, -6, -14, 6, -9, 0,... | 711388561103 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[14, 4, 6, 0, -10, -11, -16, 1, -14, -16, -14, 1],\n [-2, -3, 0, 11, -1, 12, 2, 7, 3, 11, 4, 6],\n [-11, -9, -6, -7, 0, -5, 0, 9, 7, -15, 15, 7],\n [13, -3, 5, 12, 3, -1, -1, -9, -15, 7, -1, -1],\n [-15, -13, -7, 6, ... | 1577534424234 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (5, 2) of the result:\nA =\n[[-4, 11, -10, 16, 5, 10, 14, -11, 12, 13, 6, 15],\n [-12, -14, -2, -15, 14, 16, 16, -3, 13, 12, -9, -4],\n [-1, 8, 16, -14, -4, -4, 9, -6, 16, 4, 6, 4],\n [1, -6, 0, -16, -14, -12, 7, 15, 1, 3, -15, -9],\n [... | 2664921292812 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 3) of the result:\nA =\n[[1, 7, -3, -13, -7, -9, 10, 13, -14, 12, 15, 7],\n [11, 14, 2, 12, -1, 16, 6, 1, -4, 0, -9, 0],\n [-6, 2, -4, 5, 3, 14, 14, 1, 11, 3, 5, -9],\n [12, 5, -14, -15, -8, -8, 9, -16, -1, 1, 14, -16],\n [-16, 7, -... | -2179040904 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 1, 12, 0, -9, 2, 2, 8, -5, 2, -5, 3],\n [1, -8, -4, -15, -12, 4, -10, -9, -6, 12, -5, 3],\n [12, -4, 9, 0, -10, 9, 2, -2, 14, 0, 3, -7],\n [0, -15, 0, -14, -14, -2, 2, 0, 1, -8, 0, 0],\n [-9, -12, -10, -14, -12, 0, -9, 6, -4, -11, -6, 6],\n [2, 4, 9, -2, 0... | -1565349448807 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, -4, -2, -10, -1, -16, -1, -16, -16, 5, 11, 1],\n [-6, 0, 14, 15, 16, -1, -3, -2, 0, -8, -3, 7],\n [-6, 12, 8, -13, 15, 15, -14, -11, 2, 0, -12, -7],\n [10, 15, 4, 15, -2, -8, -15, -11, 10, 4, 5, -9],\n [3, -8, 2, 15, -6, 11, 4, -15, -10, 8, 4, -4],\n [9, 6,... | -5318315994 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 4, -1, 4, -10, 3, -14, -5, 6, 1, 2, -2],\n [4, -6, 9, -3, -10, 4, -11, -8, -8, 12, 5, 9],\n [-1, 9, -3, -4, 0, -12, -4, -2, 2, -14, 2, 8],\n [4, -3, -4, -7, -10, -2, -4, 12, -2, -2, 6, 12],\n [-10, -10, 0, -10, -5, -7, -7, -8, -10, 0, -15, 0],\n [3, 4, -12,... | 1243259030061 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-4, -9, 6, 2, 2, -7, -7, -9, -5, 7, -10, 5],\n [-15, 3, -2, 2, -6, -15, -11, 4, -16, -2, 2, 0],\n [15, 1, 9, -7, 1, 3, 0, 1, 3, -14, 16, 11],\n [5, 0, 6, 15, 8, 1, -4, 1, -7, 14, 2, -9],\n [-9, 0, -11, -2, -16, 8, -11, 6, 5, 16, 7, 13]... | 378628042546 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-6, 9, 2, 10, 3, 5, -6, 1, -2, 2, 4, -7],\n [9, 15, -1, 12, -2, 13, -5, 7, 0, 3, 0, 10],\n [2, -1, -10, 0, 7, 0, -5, 10, -10, 10, -7, -6],\n [10, 12, 0, -12, -6, -6, -6, -14, -9, 14, -3, -13],\n [3, -2, 7, -6, 10, 4,... | 78992309499603 | MATH |
[
{
"content": "What is the value at position (10, 4) of the matrix A^9 where A is:\n[[3, 15, -4, 3, -9, -11, 16, 8, -3, 16, -1, -14],\n [-7, 16, -1, 14, 8, -3, -9, -8, -4, -3, -2, -12],\n [-4, -14, 16, 2, 14, 15, -15, -1, -12, 13, 1, 11],\n [16, -15, -15, 15, -5, -11, -2, 15, -2, -7, -2, 16],\n [-5, -13, -7, 3, ... | 16692925535555 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (8, 1) of the result:\nA =\n[[-6, -4, 2, -4, -9, -7, -1, 0, -4, 3, 10, -4],\n [-4, -6, 0, 4, 0, 1, -4, -8, 8, -4, 11, 2],\n [2, 0, -2, -9, -14, 10, -8, -1, -6, -10, 3, 3],\n [-4, 4, -9, 15, 8, 7, 2, -8, 0, -2, 11, 0],\n [-9, 0, -14, 8, ... | 143061151396 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[3, 0, -6, -5, 4, 6, 0, 11, -1, 3, 2, -4],\n [0, 6, 7, -12, 2, 0, 14, 0, 4, -3, 3, 0],\n [-6, 7, -15, -1, 12, 0, 12, -10, 7, -4, -2, -10],\n [-5, -12, -1, -2, 0, -14, -3, 2, 0, 6, -6, 0],\n [4, 2, 12, 0, -3, -1, 14, -2, 6, 6, 0, -10],\n [6, 0, 0, -14, -1, -13, ... | 2951212128979 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (4, 11) of the result:\nA =\n[[9, -7, -12, -3, -7, -8, -14, -6, -14, -3, -14, -11],\n [-3, -1, 8, 10, 5, -6, 2, 2, -1, 13, -9, 13],\n [-9, 12, -3, -5, -4, -5, -3, -7, -9, 7, 8, -9],\n [-4, -14, -8, -7, 2, 11, 1, 1, -9, -9, 15, 4],\n [-1... | -18505371697065 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-5, 2, -4, 0, 4, 2, 0, 3, 14, 2, -9, -8],\n [2, 12, -2, -12, 5, -4, -6, -6, 2, 4, -2, -12],\n [-4, -2, -16, 2, 1, 0, 7, 10, 6, -14, 0, 2],\n [0, -12, 2, 12, 2, 7, -14, 4, -8, -4, -2, 10],\n [4, 5, 1, 2, 7, -6, 12, -4, -13, 2, 2, 2],\n [2, -4, 0, 7, -6, -2, -1,... | 2547289943813843 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, -3, 3, 2, -8, 12, 10, -7, 0, -2, -1, -6],\n [-3, 5, -2, -9, -12, 11, 6, -8, -5, -1, 2, 2],\n [3, -2, 7, 6, 1, -13, -3, 14, 6, 0, 2, -1],\n [2, -9, 6, -16, -4, 3, 2, -4, 7, 5, -7, -6],\n [-8, -12, 1, -4, -8, 6, 10, -14, -8, -7, -9, 14],\n [12, 11, -13, 3, 6... | -2813233968923 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[16, -2, 2, 1, -3, 2, 8, 0, -8, -4, 1, -2],\n [-2, -15, 0, 0, 0, 6, -6, -4, -8, 4, -5, -14],\n [2, 0, 14, 1, -4, 2, 3, 10, -6, 7, -12, 9],\n [1, 0, 1, -10, 4, 0, -5, -9, -8, 5, -6, -6],\n [-3, 0, -4, 4, 1, -6, -1, -4, 6, -4, -2, -2],\n... | -43993285439 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 14, -15, -12, -15, -15, 9, -7, 10, -9, -7, 7],\n [7, 14, -13, -3, 9, -5, 10, -11, 10, -3, 5, 3],\n [-14, -8, -1, -8, 15, 8, 10, 10, -15, 5, -15, -16],\n [-7, -5, 0, -14, 4, -5, 10, -2, -14, ... | 5175019868164 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-7, 4, -6, 1, 6, -4, 8, 11, 0, 9, 7, 2],\n [4, 10, 6, 1, 6, -6, 0, -4, -4, -2, -7, 7],\n [-6, 6, -4, 3, -9, -2, -13, -10, -8, 6, 8, -8],\n [1, 1, 3, 2, 10, 5, 0, -8, 10, 2, 6, 3],\n [6, 6, -9, 10, 9, -2, -8, 6, 2, -1... | 1465558149967775 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-6, -8, -10, 0, 9, 10, 16, -12, -8, 6, 13, -16],\n [-9, -16, -7, -10, -14, -10, -9, 15, 15, -12, 10, -4],\n [-5, -7, -16, 4, -10, -7, 0, -16, -4, 6, 11, 2],\n [15, -7, 1, -9, -1, 0, 6, 9, 6, 6, -10, -5],\n [5, 0, -4, -3, -10, 2, -10, 1... | 114789024589 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[3, 3, -8, -8, -10, 12, 2, -6, 3, 2, -9, -4],\n [3, -5, 0, 10, 6, 1, -1, 14, 12, -6, -4, -9],\n [-8, 0, 16, 4, -2, 12, -4, -16, 6, 5, -3, -5],\n [-8, 10, 4, -1, 2, 11, -1, 2, 6, -10, 6, 2],\n [-10, 6, -2, 2, -1, -3, 9, 4, 9, 4, 0, -2],\n [12, 1, 12, 11, -3, 7, ... | -5536880032849 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[11, -10, -8, 4, -3, 6, -4, 6, 12, -5, 8, -6],\n [-10, 0, -2, 2, -2, 0, -2, -12, -10, 14, -8, 5],\n [-8, -2, 8, -3, -9, -12, -3, 2, 3, -4, 8, 4],\n [4, 2, -3, 14, 1, 3, -1, -6, 4, -13, -2, -4],\n [-3, -2, -9, 1, -6, 4, -6, 6, 10, -4, -4... | 166935381452 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (6, 10) of the result:\nA =\n[[6, -5, 7, -1, 0, -2, -6, -8, -3, 9, 11, -6],\n [-5, 3, -4, -2, -12, -8, 16, -5, 1, 0, -6, 3],\n [7, -4, -12, 2, 14, 1, -1, 1, 3, -8, 8, -6],\n [-1, -2, 2, 9, 4, 2, -3, 5, 3, -8, 4, 0],\n [0, -12, 14, 4, 1,... | -2954856164975 | MATH |
[
{
"content": "Find the value at position (3, 10) of the 9th power of the matrix:\n[[-1, -2, -4, 4, 0, 4, 5, 2, -10, -4, 3, -1],\n [-2, -15, 1, 6, 1, -5, -4, 2, 0, -5, -12, -4],\n [-4, 1, -11, 0, 2, 4, -2, 0, 2, 6, 2, 4],\n [4, 6, 0, -1, 2, 2, -6, -4, 1, -6, 2, 1],\n [0, 1, 2, 2, 6, -6, -6, 8, 3, -12, 2, 8],\n [... | 2966995211162 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[16, -4, -3, -1, 10, -12, 2, 0, 5, 12, 3, -3],\n [-4, -13, 6, 0, -8, -2, 0, -2, 1, -5, 0, 6],\n [-3, 6, -10, 14, 6, 0, -3, 1, 4, 7, 12, 5],\n [-1, 0, 14, 2, 5, 6, -8, 9, 12, -6, -12, 5],\n [10, -8, 6, 5, -1, -4, -5, 6... | 2501721474892290 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[9, 2, -6, 1, 0, 4, -4, 7, -4, -2, 5, 9],\n [2, -10, 4, -1, 10, 5, 12, -6, 0, 0, 0, -6],\n [-6, 4, 3, 3, 15, 4, -10, -1, 4, 4, 2, -5],\n [1, -1, 3, -9, 0, -6, 8, -6, -16, 8, 2, 0],\n [0, 10, 15, 0, 12, 8, 2, -4, 0... | -129375628269 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[15, 13, 11, 2, 1, 3, -7, -6, 0, 6, -10, -11],\n [7, -9, -13, 0, -15, 5, -1, 4, -9, -10, -10, -13],\n [8, -11, 1, -2, 4, -1, 7, -6, -10, -14, 5, 9],\n [-13, -1, 0, 2, -2, -10, -15, 6, -9, -16, 0, -9],\n [4, 9, 14,... | 105501415442994 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[7, 2, 2, -6, 0, -5, 0, 8, -10, -9, 4, 14],\n [2, 11, -8, 5, 0, 0, 0, 10, 4, 10, -6, 8],\n [2, -8, -11, 8, 5, 4, -5, -6, 2, -4, 6, 0],\n [-6, 5, 8, 14, 0, 2, 6, 0, -8, -2, 0, 4],\n [0, 0, 5, 0, 1, 12, 14, 2, 4, -5, -6... | 2763930255142 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (3, 6) of the result:\nA =\n[[-8, 3, 2, -6, -3, 8, -5, -10, -14, -1, -16, -2],\n [-6, -16, -14, 5, -11, 5, 11, -3, 15, 12, -12, -6],\n [-16, -10, -14, 5, 14, -14, 0, 1, -2, -1, 13, 0],\n [-2, 10, -16, 13, 13, -12, -16, -13, -6, -4, -7, ... | 82470310135 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (12, 3) of the result:\nA =\n[[14, 12, -4, -15, -8, 15, 5, 1, 1, 2, 14, 12],\n [7, 16, 2, -1, 15, 4, 13, -10, -5, 11, -3, -10],\n [0, 6, -4, 3, -12, -11, -4, -14, 14, -14, -9, -10],\n [-10, -6, 7, 4, 3, 12, -7, -1, -7, 16, -12, -5],\n [... | 7439398709 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-15, -4, -6, -11, -1, -8, -8, 11, 6, 2, 14, 9],\n [-4, -13, 0, -10, 5, 4, -10, 2, 4, -9, -9, -4],\n [-6, 0, 5, 1, 5, -10, 8, 0, 12, 3, 1, 0],\n [-11, -10, 1, -1, 9, 10, 12, 0, 10, 0, 6, -8],\n [-1, 5, 5, 9, 14, 4, 2, -4, -2, -7, 2, -13],\n [-8, 4, -10, 10, 4, ... | 9518007808126 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[14, -3, 13, 14, 15, 0, 11, 0, -11, 12, -8, 14],\n [13, -8, -7, 16, -14, 12, -3, -2, -7, -1, 16, 11],\n [7, -2, -4, 2, -6, -4, 15, 9, -1, 0, -4, -4],\n [-2, -6, -16, 1, -16, 5, -15, 13, 1, -16, -14, -7],\n [-2, -14, ... | 51446838868410 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[1, 11, -11, 14, -2, -13, -12, 6, -4, 10, 14, 2],\n [13, 13, -12, -6, -7, -16, -2, 4, 5, 15, 9, -4],\n [-12, -3, -13, -9, -8, 14, -14, 10, -8, 12, 12, -7],\n [-4, -16, -3, 15, -1, 9, 16, 14, -9, 8, 16, 13],\n [-16, -16, 10, -13, 7, 7, -11, -16, 12, 7, -4, 11],\... | 31633089192 | MATH |
[
{
"content": "What is the value at position (9, 12) of the matrix A^7 where A is:\n[[7, -15, -1, -3, -8, 0, -6, 3, 4, -9, 8, -1],\n [-15, -10, -7, -8, 4, -6, 5, -6, 3, 4, -4, 12],\n [-1, -7, 8, 2, -1, 4, -2, -6, 6, -3, -6, -6],\n [-3, -8, 2, -12, -3, -8, 0, -8, 4, -2, -6, 10],\n [-8, 4, -1, -3, -7, 14, 15, -13,... | -2054761158 | MATH |
[
{
"content": "What is the value at position (3, 7) of the matrix A^9 where A is:\n[[7, 11, -12, -8, -9, 1, -4, -11, -1, 1, 0, -15],\n [1, -6, -15, -15, 1, 5, -1, 10, 0, 0, -11, 16],\n [-4, -11, 9, 2, 2, 9, 5, -6, 5, 15, -10, 5],\n [-11, -2, 1, 12, -12, 7, 15, 13, -12, 1, 4, 5],\n [4, -12, 16, -10, 7, -9, -2, -1... | 7650802881659 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[1, 0, -3, -8, 2, -2, 8, 9, 5, 14, -10, 4],\n [0, 1, -4, -13, -14, -2, 1, -3, -2, 10, 6, -4],\n [-3, -4, -5, -2, -10, 12, -16, 11, 0, -6, -10, 4],\n [-8, -13, -2, -15, 0, 2, 6, -2, 14, 2, -10, 0],\n [2, -14, -10, ... | -954966985682 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[3, 3, -9, -4, -2, -8, 11, -2, -2, 9, -7, -6],\n [3, 16, 5, -4, -4, 15, 5, 0, -10, 7, -6, 4],\n [-9, 5, -7, 12, -5, 6, -6, 12, -8, -4, 10, 14],\n [-4, -4, 12, 6, 2, -8, -14, 10, 6, 8, 2, -8],\n [-2, -4, -5, 2, 11, -2, 2, -3, -12, 10, -2... | 536766445710885 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[3, -2, 8, 4, -4, 0, 6, 4, -4, -10, 9, 4],\n [-2, 3, -8, 2, -14, -5, 6, -2, 2, 1, 6, 10],\n [8, -8, -12, 2, -12, 1, -2, -2, -2, -6, 8, 2],\n [4, 2, 2, -12, -6, 5, -10, 2, 6, -8, 0, 2],\n [-4, -14, -12, -6, 14, 8, ... | -369639506701167 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-13, -1, 0, 2, -2, 5, 8, 8, -2, 2, 8, -3],\n [-1, -3, 0, 4, -3, 2, 2, -6, -12, 6, 8, -8],\n [0, 0, 16, -1, 4, 14, 1, 13, -2, -6, -4, -1],\n [2, 4, -1, -1, 2, 6, -4, 8, 11, -1, 12, -2],\n [-2, -... | 6660223241630 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[3, 8, 14, -8, 7, -13, 7, -3, -9, 10, 13, -3],\n [1, -4, 12, 11, -13, 10, 7, 7, -14, 2, -8, 5],\n [5, -1, -9, 0, 10, -3, 5, 5, -6, 15, 10, 3],\n [2, -7, -4, 11, -9, 5, 11, -1, 0, 2, 1, 12],\n [-2, 4, -10, 5, -11, -3, ... | 80843239584056 | MATH |
[
{
"content": "What is the value at position (11, 12) of the matrix A^9 where A is:\n[[-5, 8, -2, -3, -11, -14, 10, 0, 8, -12, 13, 1],\n [3, 10, 0, -9, -5, -14, -3, -2, -14, 7, -15, -12],\n [-13, -15, -6, 0, -5, 2, -4, 2, 3, 4, 14, 14],\n [-12, -15, -6, 7, 14, -15, 9, 0, -6, -4, 9, 13],\n [3, -9, 3, -6, 11, -6, ... | -81449994994218 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, -13, 8, -6, -6, -5, -9, 10, -7, -5, -8, -6],\n [-13, 1, 12, 0, 2, -8, -6, 8, -1, -10, 14, 6],\n [8, 12, -4, -7, 1, -4, -3, -1, 10, -3, 8, 6],\n [-6, 0, -7, -16, -6, -2, 6, -3, 2, -2, 2, -13],\n [-6, 2, 1, -6, 4,... | 5631198278920 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[10, -11, -6, 12, 15, -13, -12, 1, -9, 6, -5, 4],\n [5, 15, 11, 1, -14, 13, -4, -16, 9, 0, 15, 5],\n [8, 15, 7, -9, 13, -4, 6, -4, 13, -11, 13, 0],\n [7, -8, 2, 14, 8, 16, 15, 5, -14, -6, 7, 13],\n [-2, -6, 3, 7, -7, 14, 10, -12, -5, -... | 149931554183753 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, -12, 2, -5, 12, 2, -2, -12, -2, 3, 7, 10],\n [-12, 11, -4, -4, -13, 4, 6, -1, 8, 0, -8, -4],\n [2, -4, 13, 0, 9, 1, -3, -2, -6, -2, -3, -10],\n [-5, -4, 0, 3, 8, -1, -10, -10, -2, -6, -12, 7],\n [12, -13, 9, 8, 1, -8, 0, -10, -14, 8, 6, -2],\n [2, 4, 1, -... | -12149051220 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-12, 3, -16, 7, -5, -13, -8, 1, 0, -1, -12, -11],\n [3, -13, -4, 2, 5, -6, 4, 3, 15, 4, 8, -4],\n [-16, -4, -10, 16, -3, -8, -2, 2, -1, -2, 6, -5],\n [7, 2, 16, 1, -6, 4, 0, -2, -10, -4, 12, -2],\n [-5, 5, -3, -6, -1... | 16375217235730055 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-2, 4, 2, 2, 8, -6, 0, 11, 2, 4, -14, 4],\n [4, -12, -2, 0, -4, 0, 5, 0, 5, -6, -14, 9],\n [2, -2, -11, 10, 5, -4, 0, -1, -1, -9, -8, -14],\n [2, 0, 10, 16, 4, -4, -2, -6, 0, 12, -5, -1],\n [8, -4, 5, 4, -12, -13, 1... | 102121934527554 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[5, -4, 4, 1, 0, -2, 8, 4, 6, 0, 4, 6],\n [-4, 9, -8, 0, 16, -1, -10, -3, 6, 6, 0, 4],\n [4, -8, 16, 8, 4, -4, 12, -13, 6, 8, -11, 5],\n [1, 0, 8, 3, -4, 6, -4, 3, -12, 4, 6, 6],\n [0, 16, 4, -4, 6, -6, 8, -1, -11, 4,... | 1928876084592 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[3, 16, 12, -11, -4, -5, 4, -11, -9, 10, 1, 16],\n [5, -11, 0, -10, -15, -2, 14, -7, -14, -16, 1, -11],\n [7, -7, -9, 8, -14, 6, 8, -8, -10, 15, 5, -9],\n [-1, 8, 5, 10, -3, -2, -4, 7, -13, 4, 10, 14],\n [2, 1, -1... | 8145367201107 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[14, 6, 4, 0, -2, -13, -7, 0, 2, -2, 4, -8],\n [6, 14, -4, 0, 1, -2, 0, -10, 6, 0, -9, -1],\n [4, -4, -7, 0, 2, 14, -4, -10, 8, -2, 2, -1],\n [0, 0, 0, 16, -6, -7, 2, -2, -2, 5, -3, -4],\n [-2, 1, 2, -6, -4, -1, 0, 0... | 825216040246 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[1, -11, -1, 2, 14, 0, -5, 3, 7, -8, 5, 13],\n [-10, -2, -16, -2, 1, 4, -16, -6, -1, -1, -6, -8],\n [-13, -15, 5, -11, 12, -5, -12, 1, 16, -15, 6, 16],\n [-12, 14, -3, -12, 5, 5, 11, -8, 11, -14, 9, -3],\n [-16, -7, 1... | 947034907203 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 9) of the result:\nA =\n[[15, -8, 2, 16, 5, 13, 6, -2, 16, -5, -4, 10],\n [-8, 10, -4, -4, -6, -6, -10, 2, -14, 9, -9, 10],\n [2, -4, 7, -4, 9, -4, -6, 6, 5, 4, 0, 1],\n [16, -4, -4, -16, -6, -8, 8, 10, -2, 4, 12, -6],\n [5, -6, 9, ... | -106260720291 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (8, 12) of the result:\nA =\n[[5, -2, -4, 8, 4, 6, 2, 14, -10, -6, 10, 2],\n [-2, 12, -12, 2, -10, -10, 10, 14, 7, -13, 6, -2],\n [-4, -12, -4, -9, 5, -2, 3, 2, 4, 6, -5, 3],\n [8, 2, -9, -2, -6, -6, -14, 2, 6, -2, 0, -8],\n [4, -10, 5,... | -6078172399787 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[9, -7, 4, 4, 12, 10, -6, 2, 6, -6, -6, 6],\n [-7, -4, -9, -4, 2, 1, 4, -6, 2, 2, -3, -14],\n [4, -9, 6, -9, 2, 0, 6, 2, -14, 12, -6, 4],\n [4, -4, -9, -3, -2, -10, 0, 12, 8, 0, 2, 0],\n [12, 2, 2, -2, -8, 10, -9, -3, 14, 2, -4, 2],\n [10, 1, 0, -10, 10, 16, 4,... | 355427083597871 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[6, 1, 2, -1, -10, -6, -12, -4, 15, 2, -16, -9],\n [0, -12, -5, 10, -12, 1, -11, -10, 1, 6, 10, -14],\n [-8, 9, -2, 16, -13, 13, -1, -11, 10, -5, 13, 15],\n [7, 11, 5, 0, -3, -2, -2, -9, -3, -16, -16, 0],\n [-4, -3, -1, 5, 4, 2, -3, 8,... | -15741956874 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 13, -3, 8, -13, -15, 13, 9, -6, -11, 2, 2],\n [-6, -11, 12, -3, -7, 9, 14, -7, 9, -7, 3, 4],\n [1, -5, -4, -13, 10, -8, 11, -6, -7, 10, 11, -7],\n [11, -14, -2, 16, 0, 10, 6, 11, 10, 2, -7, -3],\n [1, -16, -15, 1... | 385146078834 | MATH |
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