messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the value at position (5, 4) of the 7th power of the matrix:\n[[12, -2, -9, 4, 2, 6, -6, -6, 7, 7, -14, 5],\n [-15, 7, 13, -15, 4, 16, -5, 5, 8, 10, 11, -1],\n [-2, -14, -10, 4, -8, 1, -13, 8, -3, -8, 9, -15],\n [3, 11, -10, -9, -3, 0, -13, -15, -11, -13, 12, 1],\n [9, -7, -3, 14, -2, -9, -3,... | 8914280903 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[15, 16, -16, 2, -15, 9, 15, -11, 15, -13, -6, 0],\n [7, -12, -11, 5, -6, -1, 16, -8, -11, -1, 12, -14],\n [3, 2, 9, -14, 2, 3, 15, -10, 16, 1, -16, -6],\n [11, 8, 6, 14, 13, -10, -1, 9, -15, -16, -5, -12],\n [15,... | -318702129598292 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-11, 0, 12, -6, -3, -7, -14, 14, 10, 1, 5, 10],\n [0, 0, -7, 11, 1, -3, 11, 0, -2, -4, -7, 14],\n [12, -7, -1, -12, -4, 12, -10, -6, 12, 2, 2, 3],\n [-6, 11, -12, 13, 1, 5, 6, 9, 8, 0, 2, 7],\n [-3, 1, -4, 1, -7,... | 169812760772 | MATH |
[
{
"content": "Find the value at position (10, 1) of the 7th power of the matrix:\n[[-15, -12, 12, 2, -9, -16, 5, 0, -10, 8, -13, -11],\n [14, 2, 10, -7, 9, 2, -14, -4, 11, 3, 11, -9],\n [-16, -14, -4, 11, 8, 16, -11, 15, 4, -1, 4, -6],\n [2, 3, 1, -3, -2, 14, -16, -14, -1, 6, -6, -5],\n [-7, 15, -1, -9, -5, 7, ... | 9834656281 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[0, 1, 6, -2, -7, -7, 2, 0, 10, -8, 8, 0],\n [1, -9, -12, -2, 8, -8, 1, -5, 8, 5, 5, -2],\n [6, -12, 1, 2, 8, 6, -9, -14, 1, -6, -4, -9],\n [-2, -2, 2, 9, 6, 12, -7, -1, -14, -9, 4, 0],\n [-7, 8, 8, 6, -3, 0, -7, -2,... | 1546303416869 | MATH |
[
{
"content": "What is the value at position (7, 6) of the matrix A^7 where A is:\n[[7, 13, 14, -12, -3, -6, -8, -5, -16, 5, 12, -9],\n [-6, -3, 13, 4, -12, 2, -3, 9, -13, 8, 8, 1],\n [-9, -3, 15, 16, 6, -2, 16, 8, 0, 16, -15, -3],\n [-11, -11, -14, -10, -9, -2, 12, 16, 13, 10, 12, 16],\n [10, 16, -13, 5, -15, -... | -19188174720 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[12, 12, 13, -1, 2, 1, -16, -3, -15, 11, 13, -13],\n [-16, -9, 12, -14, 15, -7, -7, 2, 16, 6, 11, 15],\n [-10, 12, -9, -16, -14, 7, 6, -9, -14, 16, 11, -9],\n [15, 7, -3, 15, -1, -13, 4, -3, 14,... | 1352435973718 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[4, 0, 6, -1, -11, -9, 8, 1, 8, -5, -2, 9],\n [9, 15, -7, -1, -10, 0, 6, 9, 4, 5, -10, -3],\n [-2, -10, -8, -9, 6, 12, 1, 14, 13, 1, 0, -3],\n [14, 7, -14, 9, 6, -2, -13, 12, 5, 8, -4, 1],\n [16, -1, -15, 13, -4, -4, 1, 15, 15, 12, 12,... | 859402621949 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 15, 5, 6, 8, -6, -9, 9, 4, -10, 4, 7],\n [15, 1, -4, -8, 2, 14, 5, -8, 6, 4, 8, 7],\n [5, -4, -11, 2, 7, -8, -11, 9, 5, 2, -1, 14],\n [6, -8, 2, 15, -8, 8, -2, -8, 8, -7, 0, -11],\n [8, 2, ... | 8665538073868128 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[15, 7, -6, 0, 8, 4, 15, -10, 2, 6, -1, 2],\n [7, -4, 2, 10, -4, 12, 6, -7, 3, 2, -11, -6],\n [-6, 2, -11, -4, 5, 0, -1, -2, 0, 12, -4, -6],\n [0, 10, -4, -13, -2, 8, -2, -8, 0, -6, 2, -10],\n [8, -4, 5, -2, 2, -8, 12, 16, -7, -9, -4, -3],\n [4, 12, 0, 8, -8, 1... | 606660518911644 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-3, -5, 3, 7, 8, 12, 14, 6, 3, 6, -1, -9],\n [4, -16, -9, 12, 15, -12, 5, -16, 9, -7, 13, 1],\n [0, 9, -9, -5, 10, -9, 8, -13, 16, -16, 2, 14],\n [-1, -3, -12, 9, 11, -15, -11, -8, 16, 8, -4, -8],\n [-4, 14, -6, -13... | 505354343427958 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-8, -2, -7, 7, -9, 7, -1, 9, 10, -13, 7, 2],\n [-7, 8, 1, 2, -7, 16, -12, 16, 4, 0, 5, -2],\n [11, -10, 15, -6, -7, -8, -3, -4, 8, -15, -10, 4],\n [1, -14, -6, 7, 2, -13, 9, 15, 16, -14, -8, -9],\n [16, -11, -13,... | -1271344850927363 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[8, -15, 8, 16, 14, -3, -16, -1, -14, -11, 8, -4],\n [-9, 4, -13, 8, -2, -13, -5, 15, 15, 11, -4, 14],\n [-3, 3, 1, 12, -11, 15, 12, -15, 6, 2, 14, -12],\n [2, -7, 8, -15, -6, 14, -2, -8, 6, 2, -8, 4],\n [-8, 11, -10, -1, -1, 16, -13, -... | -1175755398228 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-2, -14, -13, -3, 8, -7, 4, -5, 10, -15, -4, 15],\n [14, -1, 15, 15, -6, -7, -2, 0, 1, -8, 8, -3],\n [8, 5, 13, 3, 4, 15, 4, 15, 13, -5, 1, 4],\n [-4, 4, -9, -10, 6, 15, -6, 5, 5, 8, 5, 11],\n [12, -4, 1, -15, 12, 4, -2, 10, 14, -2, 6, 7],\n [-4, 5, 16, -14, 2... | 33282623987875 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-3, -2, 0, 0, 0, -2, 0, -2, -6, 9, -12, 4],\n [-2, 9, -12, 12, 4, 1, -2, -4, -6, 4, -11, -2],\n [0, -12, 14, 0, -3, -1, 6, 6, 6, 8, 10, 8],\n [0, 12, 0, -7, 8, 2, 9, -2, -4, -6, -10, -3],\n [0, 4, -3, 8, 10, 0, -8, ... | 1774741669356 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -14, -14, 10, 16, 11, -16, -9, 15, -13, 13, -11],\n [2, 15, -8, -5, -6, -1, -16, 4, 13, -4, -13, 11],\n [14, 10, -12, 8, -14, 16, -13, 8, 3, 9, -12, 11],\n [12, -8, -11, 2, -6, -15, -8, 4, ... | 1540871087266972 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-8, -13, 0, 7, 15, -16, -9, 6, -5, -5, -2, 2],\n [9, 12, 5, 4, 3, 12, -13, -10, 11, 11, -13, 5],\n [-5, -14, 5, -15, 7, 10, -16, -9, 6, -11, 5, 8],\n [1, 0, -5, -11, 9, 10, -9, 2, -16, 12, -3, 3],\n [-4, -9, 3, 16, 9, 4, -8, 7, 0, 7, 4, -4],\n [-6, 2, -6, -4, ... | 19193090642596 | MATH |
[
{
"content": "Find the value at position (12, 9) of the 8th power of the matrix:\n[[-16, -1, 6, 14, -10, -4, 6, 10, 0, 4, 0, -6],\n [-1, -16, 2, -4, -14, 12, 5, -8, -3, -4, 6, 0],\n [6, 2, -2, 0, 8, -12, -9, 6, -4, 12, -6, -6],\n [14, -4, 0, -12, 2, 2, -2, -10, 16, 4, 6, -7],\n [-10, -14, 8, 2, -4, -2, 0, 0, 10... | -254485665084 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-6, -12, 0, -5, 1, 12, -2, 0, 0, -2, -4, -2],\n [-12, 9, -4, 2, -12, -4, -5, 2, 8, 6, -12, -6],\n [0, -4, 4, 2, 2, 12, 4, 12, -3, 8, 4, -2],\n [-5, 2, 2, 15, -4, 8, 0, 5, 2, 7, -4, 4],\n [1, -12, 2, -4, 14, -2, 6... | 60298678892 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -8, 6, -8, 3, -2, -6, 2, 10, 12, 8, 11],\n [-8, 3, 10, 8, 3, 8, 4, 4, 0, -11, -10, 0],\n [6, 10, 16, -2, 2, 0, 5, 6, 2, -4, 1, -3],\n [-8, 8, -2, 8, -11, 7, -10, -5, 0, 0, 12, 0],\n [3, 3, 2... | 215031528984463 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[4, 7, -15, -9, 10, 5, 10, 12, -14, -4, -7, -8],\n [10, -16, 15, 8, 12, -10, -14, 3, 3, 13, 10, 9],\n [-3, 0, 1, 12, 3, 10, 1, -13, -16, -16, 9, 3],\n [6, -7, -6, -12, -16, 0, 5, 12, -13, -12, -6, 4],\n [-5, 9, 2, -10, -10, 9, -12, 4, -3, -13, 6, 3],\n [-2, 12,... | 4668107226844 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-13, 2, 2, -1, 2, -4, -6, 4, 2, 4, -12, 14],\n [2, -16, 1, 4, 5, -4, -6, 6, 0, -8, -12, -4],\n [2, 1, -13, -2, -9, -2, -9, -4, 3, -12, 0, -6],\n [-1, 4, -2, 16, -8, -4, -2, 10, 2, -1, -1, 3],\n [2, 5, -9, -8, 16, 4, ... | 3163017526517757 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[0, -2, 4, 2, 4, -2, 0, 1, 4, -4, 2, 12],\n [-2, 11, 0, -2, 6, 6, 2, 2, 0, -5, 4, -2],\n [4, 0, 13, -9, -2, -7, -8, -13, -4, -16, 10, -12],\n [2, -2, -9, 8, 4, 10, -12, 0, -5, -13, -4, 2],\n [4, 6, -2, 4, -13, 8, -12, 12, 0, 6, -2, -16... | -3411306783 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[9, -1, -10, 6, 0, -3, -12, 0, -11, -7, 3, -12],\n [-1, 12, 6, 0, 6, 0, 11, -2, -9, 12, 2, -8],\n [-10, 6, 12, 4, -6, -2, -5, -10, -4, -2, -6, -5],\n [6, 0, 4, -11, -2, 6, 11, -2, -8, 4, 6, -4],\n [0, 6, -6, -2, -14,... | 6804969683124357 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 2) of the result:\nA =\n[[-4, 1, -15, -9, -6, 16, 10, 3, -5, 14, 10, 15],\n [-7, -14, 10, 14, -2, -1, -4, -6, 4, -6, 13, 5],\n [14, -3, 7, 15, 15, -2, -14, -1, -12, 4, -7, 2],\n [8, -13, 12, 2, -15, -7, 8, 3, 2, 6, 7, -6],\n [11, -1... | -499179096 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, -4, 15, 9, 5, -13, 14, 1, 7, 6, 5, -15],\n [14, -6, 11, 15, -12, -7, 7, 6, 0, -16, 14, 14],\n [-8, 5, -4, 8, 1, -5, 0, -2, -2, -2, -4, 0],\n [15, -8, 3, 9, 10, 4, 1, -4, -1, -8, -5, 2],\n [-10, 1, -1, -13, 8, 15, -4, 0, -11, 2, -4, 9],\n [-3, 14, -13, -9, ... | 315760024 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-9, -9, 10, -5, -16, -6, 14, 0, 16, 15, 12, 4],\n [4, 6, -11, 5, -9, -6, 7, 4, -15, 2, 11, 0],\n [-11, 2, 11, -15, -13, 5, 9, -4, 15, 0, 2, 11],\n [-16, 1, 16, -5, -9, 7, -1, -13, 10, -8, -1, -5],\n [14, 7, -3, 8, -14, 7, -8, 9, 3, -7, 2, -14],\n [7, -12, -14,... | 66542211527939 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-11, 3, -10, -3, -2, 4, 2, 2, -4, -1, 2, 1],\n [3, -12, 4, -4, 2, -9, 8, -13, -3, 0, -5, -2],\n [-10, 4, 2, -2, -6, 2, 8, -3, -2, -11, -11, 8],\n [-3, -4, -2, -2, -11, -6, 4, 0, -14, 8, 2, 12],\n [-2, 2, -6, -11,... | -643415963553874 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[10, -2, -6, -6, -4, 4, 7, 4, 8, -12, -10, 2],\n [-2, 11, 7, -2, 8, 1, 7, -10, 4, -8, 14, -11],\n [-6, 7, -4, -4, 1, 2, -6, 1, -14, -14, 0, 5],\n [-6, -2, -4, 13, 8, 10, -6, 8, 8, 1, 0, -1],\n [... | 3948227267193030 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-15, 6, 6, -9, 11, 0, -7, -2, -4, 9, 3, -12],\n [6, 1, 5, -7, 0, -4, -14, -6, 4, 2, 2, 3],\n [6, 5, 1, -10, 2, 4, 1, -14, -9, 3, -2, 2],\n [-9, -7, -10, -1, -1, 9, 2, -5, 9, -6, 7, -9],\n [11, 0, 2, -1, 16, 2, 8, -2, 2, -2, 6, -8],\n [0, -4, 4, 9, 2, 8, 4, 8, ... | 15815007767092 | MATH |
[
{
"content": "Find the value at position (5, 9) of the 9th power of the matrix:\n[[8, -13, -6, 15, -10, -6, 11, 6, 6, 11, 9, 8],\n [12, 2, 16, -3, -3, 13, 11, 0, -14, -1, 13, 12],\n [-2, 8, 6, 8, -10, 5, 0, 1, -7, -7, -10, 10],\n [16, -16, -13, 0, -13, 9, -13, -16, -10, 13, -8, -9],\n [7, 2, 10, 15, -3, 1, 11, ... | 25324278794410 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-9, 3, -13, 4, -14, -9, 6, -1, -4, -14, -8, -3],\n [-4, -10, -2, -10, 5, 7, -16, -7, -1, -9, 8, -5],\n [8, 0, 9, -3, 6, -11, -12, 8, 1, -4, -3, 11],\n [1, 11, 10, 15, -8, 15, 3, 11, 16, -13, -14, 9],\n [-9, -11, -1, ... | 1969280075486336 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[6, 2, 8, -1, -8, -16, 2, 16, -1, 1, 8, -11],\n [4, -11, 15, 14, -7, 13, 1, 7, -8, 14, -2, -13],\n [-8, -8, 9, -13, 0, -1, -2, -12, -12, 3, -2, 1],\n [-15, 12, -4, -13, -7, 14, -9, -14, -8, 13, -6, -4],\n [-4, -5,... | -616123959548 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-3, 6, 6, -2, 6, -1, -6, -1, -6, 2, -4, -2],\n [6, -9, 5, -3, 4, 6, 1, 6, 9, 3, -2, 0],\n [6, 5, 1, 2, 0, 10, 4, -2, -12, 0, -16, -8],\n [-2, -3, 2, 12, 2, 4, 8, -2, -6, -8, 0, -4],\n [6, 4, 0, 2, 8, 0, 2, 2, 6, ... | 12480960072126 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-1, 5, -16, 2, 6, 4, 3, -6, 2, -6, 6, 3],\n [5, -10, 2, 6, -3, -8, -4, 2, -13, 8, 1, 6],\n [-16, 2, 2, 8, -6, 0, 0, 6, 12, 2, -4, 4],\n [2, 6, 8, -2, -2, -8, -8, 10, 3, 0, 1, 3],\n [6, -3, -6, -2, 6, 14, 16, 8, -... | 5009920803824 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[16, -5, -14, 9, -9, -10, -1, 7, -16, 8, -7, -1],\n [-1, -9, 12, 11, -11, -1, 3, -1, -10, -3, 9, 9],\n [-3, -10, 16, 9, 3, -14, -13, 9, -6, -15, -3, 13],\n [-5, 9, 16, -4, -3, 7, 9, 4, 11, -15, -8, 6],\n [-2, -4, ... | -4026532210627938 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, 8, -2, 0, -2, 8, -10, -1, 0, 15, -1, 2],\n [8, -5, 13, -6, 7, -2, 8, -6, 8, 7, 3, 4],\n [-2, 13, 4, -15, -8, 12, 6, -2, 6, -7, 0, -10],\n [0, -6, -15, 9, 6, -4, 8, -8, 7, 5, 14, 8],\n [-2, 7, -8, 6, 7, -12, -2, -11, 6, 14, -7, 2],\n [8, -2, 12, -4, -12, -... | 89896984777 | MATH |
[
{
"content": "Find the value at position (10, 7) of the 8th power of the matrix:\n[[-3, -13, 12, -2, 11, -1, -5, -12, -16, 15, 9, 0],\n [10, 7, 9, 6, 5, -13, -8, -13, -10, 6, -15, 7],\n [14, 14, 7, 9, -1, -4, -2, 10, -13, -1, 13, 13],\n [-14, 5, 5, -5, 4, -13, 14, 14, 6, 3, -2, 6],\n [11, -1, 4, -2, 0, -4, 2, 1... | -364192225888 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[12, -8, -13, 7, -3, -12, 1, 2, -5, 1, 0, 13],\n [7, -6, 6, 0, -16, -2, 15, -8, -2, 11, 7, 5],\n [10, 2, -5, 3, -16, 4, -16, -7, 15, 5, 1, 15],\n [10, 11, 1, 12, 1, -9, 14, -10, 1, -8, -8, -9],\n [1, -12, -3, 11, 13, -13, 3, 8, 11, -5, -15, -3],\n [5, 14, 6, 3,... | 441018063982865 | MATH |
[
{
"content": "Find the value at position (8, 2) of the 8th power of the matrix:\n[[16, -6, -4, -12, 11, -9, 1, -12, -14, 0, 0, -2],\n [-6, -15, 0, 8, 0, 2, 1, 4, 2, -4, 2, -10],\n [-4, 0, -11, -1, 2, 7, 12, 4, 2, -10, 12, 10],\n [-12, 8, -1, 14, -10, -2, -2, -5, 6, -2, 10, -2],\n [11, 0, 2, -10, 11, 9, 8, 9, 8,... | -177458346578 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -10, 6, 12, -1, 11, 14, -3, 16, -8, 10, 7],\n [-4, 9, 12, 11, 11, -9, 6, 12, -12, -10, 10, -15],\n [8, -8, 10, -16, 6, -7, 8, -14, -11, -11, -15, 1],\n [6, -15, -5, 5, 3, 7, 3, -16, -16, 0, ... | 2143220461500 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-11, 12, -2, 12, -13, 1, -1, -6, -3, -14, 1, 3],\n [8, -4, -13, -3, 16, 11, -9, -12, -12, 14, -8, 15],\n [16, -14, 13, -5, 12, -14, 9, 13, -8, 9, -15, -14],\n [-13, 8, -4, 6, -8, -15, 14, -15, 15, 1, -4, -12],\n ... | 17312983064004 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (1, 4) of the result:\nA =\n[[-4, -14, -11, 2, -14, 1, -8, -5, -12, -14, -6, 13],\n [-13, -12, -16, 10, 11, 12, 1, -5, -4, -15, -1, 7],\n [5, -6, 12, -2, 14, -1, -7, 15, -15, 7, 6, -15],\n [14, 9, 12, -14, -3, 8, -16, -14, 9, 1, -8, 6],... | 271821291801 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[4, 0, 6, 0, -3, 12, 3, 13, 2, -4, 1, 6],\n [16, 1, -8, 16, 15, 0, 2, 10, -11, 3, 8, -13],\n [-7, -7, 7, 4, -6, 10, -1, 9, 13, -1, -10, -1],\n [-1, -5, 4, 0, 15, -11, 7, 10, 3, 8, -15, -8],\n [11, -14, 3, -11, 16, -16, -11, -2, 9, -3, -... | -510941524679 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-2, -2, 6, 0, 2, -4, 5, 14, 5, 12, 4, 16],\n [-2, 7, -8, 10, 6, 4, 8, -4, -10, -6, -4, -8],\n [6, -8, 11, -2, 8, -1, -2, 4, 2, 14, 4, 4],\n [0, 10, -2, -9, -6, -14, 4, 0, 0, 14, -2, 0],\n [2, 6, 8, -6, -13, 4, 4, -2,... | 6249633148254132 | MATH |
[
{
"content": "Find the value at position (10, 8) of the 9th power of the matrix:\n[[-4, -16, 3, -9, -7, -8, -14, -6, -5, -7, 8, 8],\n [-6, 9, -3, -16, -13, 13, -5, -4, 14, 6, -13, -1],\n [-10, 5, 12, -6, 16, 12, -5, -10, 9, -8, -4, 8],\n [7, 0, -15, -4, 14, 12, 11, 10, -2, 14, -2, 16],\n [3, -5, -8, 6, -9, 15, ... | -4146051490366 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[2, -5, -4, -2, -6, 4, -8, 2, 2, -5, -4, -4],\n [-5, 7, 2, 2, -2, 1, 10, -13, 0, -5, 12, -5],\n [-4, 2, -13, 12, -2, 4, 9, -4, 2, 10, -10, 0],\n [-2, 2, 12, -4, 9, -13, -9, -2, -12, -4, 5, -9],\n [-6, -2, -2, 9, 2... | 14911714428667 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[4, 6, 3, -6, -7, -7, -11, 7, -5, 6, 10, -11],\n [-16, -11, 5, 7, 8, -2, 9, -9, 7, -11, -16, -5],\n [-6, -5, -10, -6, 14, 16, -4, 1, 7, -8, 14, -7],\n [-15, -2, -14, 14, -11, -14, -6, -2, 11, -7, -10, -2],\n [1, 1, 7... | 1593475143665643 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -6, -5, 1, -11, 15, -4, -12, 0, -7, -1, 8],\n [-6, -2, 1, 2, 6, -2, 5, -2, -2, -12, -10, 12],\n [-5, 1, 12, 4, 7, -4, 2, 6, 12, -6, -6, 0],\n [1, 2, 4, 1, -7, -2, -14, -5, -16, -4, -8, -4],\... | 175557151532619 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[8, -15, -15, -1, -8, 11, -4, -4, 14, 4, 15, -9],\n [-15, 15, 11, -16, -7, -13, -7, -6, -3, -5, 0, -1],\n [-15, -6, -14, 12, 1, 3, -3, 14, 1, 13, 8, 2],\n [-9, 11, -9, 14, -14, -14, 5, 0, 0, -3, -8, 13],\n [4, -5, 15... | 5532685566796 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-16, 10, 10, -6, -12, -10, 2, 12, -2, -5, 13, 3],\n [-14, -8, 9, -15, 6, 6, 4, -1, -8, -4, 11, 10],\n [0, -16, 1, -8, -4, -2, -13, 16, 7, -7, 3, -6],\n [-5, 1, 13, 3, 8, -5, 4, 8, -6, -8, 8, 15],\n [-3, -16, 0, 8, -9, -12, -12, 2, 6, -... | 22033435916 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, 8, 10, 4, 6, -11, 6, 2, -7, -6, -4, 4],\n [8, 14, 10, 6, 12, -13, -2, 12, 12, -3, 13, 6],\n [10, 10, -2, -7, 6, 3, -4, -1, 4, 12, 7, 10],\n [4, 6, -7, -3, 6, -2, 2, -8, 6, 8, 10, 3],\n [6, 12, 6, 6, 12, 4, -10, ... | 13319300432549 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[5, 5, 0, -2, -4, -2, 15, -8, -1, -4, 7, 0],\n [5, -16, -14, 4, 6, 10, 0, 12, 14, 4, -2, -2],\n [0, -14, 7, -6, 8, -9, 0, -6, 0, -7, -6, 6],\n [-2, 4, -6, 0, -3, 8, -8, -2, -8, 2, 5, 0],\n [-4, 6, 8, -3, 13, -3, -... | 14997838085612 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-12, -14, 6, 4, 12, -7, 2, 0, 10, -7, 9, 4],\n [-14, 15, -3, -8, -4, 2, 14, -8, -6, -6, -10, -8],\n [6, -3, -16, 6, -4, -9, -9, 9, 14, 8, 0, 4],\n [4, -8, 6, 10, 12, 0, -10, 11, -4, 11, -10, -6],\n [12, -4, -4, 1... | 1423252871616634 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[4, 3, -9, -8, 8, 8, 16, -15, 2, 3, 12, -11],\n [0, 8, -13, 13, 3, -14, 6, 1, 9, -9, 0, 14],\n [16, 10, -13, 5, 9, 15, 7, 15, -10, 16, 14, -5],\n [-6, 7, -9, 15, 5, 2, 3, -3, 16, -7, -1, -13],\n [10, 11, -1, 16, 2, 4, 5, -8, -8, -8, 10,... | 201351616176 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[8, 2, -6, 3, -2, -5, 2, -8, 5, -2, 10, -10],\n [2, 9, -4, 0, 11, 2, 0, -2, 0, -2, -1, -12],\n [-6, -4, -14, 5, 5, 8, -10, -1, -2, -3, 8, 11],\n [3, 0, 5, 16, -2, 2, 5, -4, 2, 8, -14, -6],\n [-2, 11, 5, -2, 2, -2, 6, ... | 105157555449503 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-13, -10, 12, 13, -6, 0, 2, 6, 2, 2, -8, 1],\n [-10, -12, 0, 7, 6, 14, 6, 4, 2, -8, 15, 3],\n [12, 0, 16, 14, -4, -4, -2, 6, -10, -8, 1, -2],\n [13, 7, 14, -13, -2, -6, -4, 0, 4, -10, -6, 6],\n [-6, 6, -4, -2, -10, -8, -4, -2, 2, 14, 0, -4],\n [0, 14, -4, -6, ... | -147709169319 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, 0, 13, -7, 2, 12, -15, 2, -10, 9, -2, -14],\n [-1, -15, 14, 11, -10, 13, -10, 12, 7, -13, 12, -12],\n [12, 13, 12, 9, 2, 9, 10, 13, 13, -14, -10, -8],\n [-4, -2, -12, 12, 10, 10, -9, 15, 3, -7, -4, 12],\n [-9, 12, 14, 13, 5, 4, -5, -6, -15, -15, -14, -1],\... | 186967438742921 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[9, -8, 8, -4, -8, 3, 2, 0, 8, 6, -4, -4],\n [-8, 16, 4, 0, -8, 4, -2, 2, -2, -4, 2, -8],\n [8, 4, 7, 1, -6, -8, -12, 6, 2, -4, 8, -8],\n [-4, 0, 1, -7, -8, 2, -2, 4, 1, 10, -8, 6],\n [-8, -8, -6, -8, 8, -7, 0, 9, -8, -12, 10, 8],\n [3, 4, -8, 2, -7, -12, -12, ... | -253194292248 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-5, 0, 3, 9, 2, -5, 4, -10, -2, -16, 9, 8],\n [-2, 5, -11, -2, 7, 4, -10, 12, 15, 15, -12, -13],\n [5, 1, 0, 7, -15, -4, -2, -12, -14, -14, 6, 11],\n [13, 1, 16, 9, 0, -10, -9, 14, -5, 14, 2, -7],\n [-5, 3, -10, -3, ... | 1445790718359 | MATH |
[
{
"content": "What is the value at position (9, 1) of the matrix A^9 where A is:\n[[-1, -11, 4, -13, 11, 11, 0, -3, -10, 5, -16, 12],\n [14, 13, -2, 1, 13, -6, 10, 7, -9, 1, -4, 7],\n [6, -5, 13, 14, 11, 5, 11, -4, 8, -10, -11, 7],\n [2, 2, -8, 12, 7, -12, 9, -3, 12, -11, -10, 1],\n [6, -16, -13, 6, 10, 9, -9, ... | -28217855620672 | MATH |
[
{
"content": "Find the value at position (8, 9) of the 7th power of the matrix:\n[[-1, -7, 12, -11, 12, 0, 5, 7, 0, 4, -6, -10],\n [-12, 4, 1, 3, -2, -12, -4, -5, 4, -11, -10, 9],\n [-9, -8, 10, -13, 4, 14, 4, 8, -2, 11, -3, -13],\n [3, -5, 16, 7, 3, -12, 13, 7, -10, -1, -2, 6],\n [-5, 12, -2, 12, 4, -2, -3, -1... | -8694027547 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-6, 9, 7, -4, 15, -13, -4, -8, -10, -16, -5, 4],\n [-6, -3, 8, -13, 9, -1, -7, -15, 2, -11, 2, -9],\n [-3, -7, -14, 12, -2, 6, 6, 1, 2, 11, 9, -7],\n [-13, -15, -14, -10, -1, 14, -7, 2, 11, 0, 11, 2],\n [6, 3, -4, -4, -6, -2, 0, 11, 2,... | -1959277496448 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-4, 4, -8, 0, 4, 14, 5, -5, -11, -1, 9, -12],\n [-8, -3, 13, 9, 12, 2, -9, 6, 14, 15, -12, -1],\n [0, 15, 15, 3, -15, 3, 1, -16, 12, 12, 2, -11],\n [-9, 7, 3, -3, -12, -1, -10, -1, -10, 10, -3, -3],\n [16, 16, 3, -10, 15, -14, 12, 7, 5... | 333503589873650 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 10) of the result:\nA =\n[[-15, 2, 2, 13, 4, 12, 5, 0, 1, 8, -1, -1],\n [2, -1, 2, 2, -4, 6, 10, -2, 6, -2, 0, 3],\n [2, 2, 5, 6, -2, -8, 6, -4, 4, -2, 12, 6],\n [13, 2, 6, -10, -4, -2, 2, 10, -1, 8, -3, 0],\n [4, -4, -2, -4, 6, -11... | 11829046642 | MATH |
[
{
"content": "What is the value at position (10, 10) of the matrix A^8 where A is:\n[[13, 11, 9, -9, -7, -3, -2, 0, 1, 15, 6, 6],\n [-2, 7, 11, -1, -1, -11, -15, -4, -8, 0, 10, 12],\n [5, 7, -10, -5, 6, -2, 16, -4, 6, 15, -16, -12],\n [-4, -12, 15, 4, 7, 1, 4, -7, 7, 4, 8, 6],\n [5, -13, -11, 11, 14, 6, -11, -1... | 636688038022 | MATH |
[
{
"content": "Find the value at position (12, 6) of the 7th power of the matrix:\n[[-11, -2, -8, -14, 6, 4, 4, -6, -7, 6, -8, -8],\n [-2, 5, -6, -1, -4, 2, 7, -2, 8, -1, 11, -6],\n [-8, -6, 16, 4, 4, 4, -4, -7, 6, 10, 1, -13],\n [-14, -1, 4, 6, -2, 8, -6, -5, -1, 12, -3, 2],\n [6, -4, 4, -2, 4, 2, 8, 2, -2, 0, ... | -15831556204 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[16, 1, 2, 2, 2, 14, 0, -2, -8, -5, 6, -4],\n [1, -14, 7, 12, 0, -5, 0, 3, 11, -14, 10, -1],\n [2, 7, -9, 10, -4, 9, 9, 2, 8, 0, -11, -8],\n [2, 12, 10, -4, 2, -2, -4, -2, 0, 8, 4, 10],\n [2, 0, -4, 2, -10, 0, -2, -8, -5, -2, 2, -4],\n... | 8869386912287 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-9, 4, -6, -8, 5, -9, -10, 2, 8, -6, 8, 2],\n [4, -8, -10, 4, -2, -12, 0, -4, 8, -6, -12, 4],\n [-6, -10, 4, 0, -5, 6, -9, -3, 3, -2, -4, 4],\n [-8, 4, 0, 0, 2, 2, -10, 5, -8, -6, 8, 0],\n [5, -2, -5, 2, -15, 10,... | 3523912244138 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 9th power of the matrix:\n[[10, -6, -7, 10, -4, 8, 2, 2, -5, 5, -2, -4],\n [-6, 0, -8, -4, -13, 0, -6, -2, 8, -7, -8, -13],\n [-7, -8, 2, 10, 6, 1, 4, 0, -4, -2, -2, -4],\n [10, -4, 10, 6, 4, -10, 0, -5, -8, 4, 1, -6],\n [-4, -13, 6, 4, -7, -6, 2, -4, -10, ... | 99498984808762 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[14, 5, -4, -6, -10, -12, 5, -10, -14, -2, -12, 0],\n [5, -7, -12, 2, 7, -6, 1, -2, 0, -6, 0, -10],\n [-4, -12, 15, 0, -2, 0, 4, -6, 5, -4, -7, -2],\n [-6, 2, 0, 3, 12, -11, 2, -7, -8, -2, 6, 10... | 1922482364752 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[5, -12, -1, -4, 9, 14, 6, -5, -3, 1, 10, 11],\n [1, -1, -1, -4, 12, -8, 9, 11, -4, -8, -3, -5],\n [15, -14, -1, 3, 15, 6, 0, -1, -9, 2, 13, -3],\n [5, 0, -2, 15, -4, 4, 16, 10, -1, 11, -16, 14],\n [16, 16, 1, 6, 6, -... | 108757069574832 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (5, 10) of the result:\nA =\n[[10, 9, 6, 4, -5, 6, 12, -2, 3, -6, 6, -3],\n [9, -9, 2, -10, -2, 3, 4, 4, 1, -1, 0, 5],\n [6, 2, -12, 1, -2, -4, 0, -6, 9, 7, -3, 7],\n [4, -10, 1, 5, -6, -4, 2, -6, -6, -2, -3, -7],\n [-5, -2, -2, -6, 16,... | 1931595387493 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-2, -9, -7, -5, 10, 6, -6, 0, -7, 4, 2, 4],\n [-9, -2, -3, 0, -2, -8, -6, -9, -12, 12, 8, -4],\n [-7, -3, -16, -2, 1, 7, 9, -6, 4, -1, -9, -6],\n [-5, 0, -2, 6, -2, -10, 0, 13, 2, 5, 0, -6],\n [10, -2, 1, -2, -14, 7, -8, 5, 4, -16, -14... | -18145907332636 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[7, -11, -2, -7, -3, -8, -1, 12, -8, 5, 0, -1],\n [-11, 4, 11, -10, 4, 8, -2, -4, -6, 2, 4, 2],\n [-2, 11, -2, 0, -1, 0, 0, -4, 7, -5, 6, 10],\n [-7, -10, 0, 3, 10, 2, 12, 6, 8, 0, -2, 1],\n [-3, 4, -1, 10, -15, 0, 0, -2, -6, 6, 0, -8],... | 821011832242 | MATH |
[
{
"content": "What is the value at position (4, 12) of the matrix A^8 where A is:\n[[10, 2, 0, 10, -2, 3, -4, 1, 0, 10, -4, -8],\n [2, -7, -1, 0, -2, 6, -4, 2, -8, -6, 12, 0],\n [0, -1, -3, 8, 8, -8, 8, 3, 6, 8, 6, -5],\n [10, 0, 8, -9, -9, -8, 11, 0, 2, 6, -12, 5],\n [-2, -2, 8, -9, 6, -8, 4, 2, 2, 6, 6, 2],\n... | -115648453813 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[13, -15, -9, -8, -16, -4, -2, 15, 14, -3, -3, 12],\n [2, 10, -8, 11, 7, 11, 1, 8, -13, -3, 9, -9],\n [7, -1, 3, -2, -10, 0, 5, 5, -5, 1, -2, -1],\n [-12, -15, 11, 10, 14, -16, 12, -16, -9, -1, 11, 5],\n [1, 5, -5, 2, 8, -12, -7, -10, -2, 7, 9, 9],\n [9, -7, 0,... | 1650880393561 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, -6, 6, -4, 12, 0, -12, 6, -6, -12, -1, 2],\n [-6, -7, 1, -2, -6, -6, 0, -2, 0, 8, -6, -2],\n [6, 1, 0, -9, -10, 7, -10, 9, -8, 10, 4, 12],\n [-4, -2, -9, -1, 3, 2, 11, 2, -11, -2, -6, -2],\n [12, -6, -10, 3, 4, -9, 5, 6, -9, -6, -9, -8],\n [0, -6, 7, 2, -9,... | -29093818815 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-5, -2, -6, -1, -14, 8, -13, 2, -14, 4, 11, -2],\n [-2, 7, 2, -8, 14, -2, -9, 4, 4, 11, 12, -2],\n [-6, 2, -10, 0, 10, -6, 0, -6, 0, 0, -3, -8],\n [-1, -8, 0, -9, 4, -7, 0, 2, 2, -3, -6, 0],\n [-14, 14, 10, 4, 14, 0, -2, -5, 16, -4, -... | 529240869559 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-14, -14, 1, 8, 3, 12, 5, -2, -7, 4, 12, 15],\n [-7, -4, 6, 6, 14, -13, -14, 4, -15, -13, -16, -2],\n [16, -11, -10, 2, -16, 2, 9, -5, 5, -4, 11, -3],\n [5, 13, 3, 10, -16, -2, 15, -9, 16, 1, 12, 15],\n [16, -12, 1, ... | 1142060121532208 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (7, 9) of the result:\nA =\n[[4, -9, 2, 9, 6, 3, 3, 0, -11, -4, 10, 14],\n [-9, 15, 2, 6, 2, -6, -8, 3, 6, 14, -3, -10],\n [2, 2, 12, -8, -1, 4, -4, 8, -8, 0, 0, -6],\n [9, 6, -8, -16, 8, -8, -3, 10, -8, 2, 1, 5],\n [6, 2, -1, 8, -9, 0,... | 19642491384797 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (3, 9) of the result:\nA =\n[[-4, -1, -10, 10, -2, 11, -10, 3, 15, 15, 9, 3],\n [1, -2, 5, 5, 4, -15, 1, 6, -4, -8, -10, -16],\n [-15, -13, -3, 15, -15, -3, 3, 8, -9, 11, 4, 6],\n [15, -9, 14, -1, 10, 1, -2, 10, 0, -15, 14, -14],\n [0, ... | 5104746999 | MATH |
[
{
"content": "Find the value at position (3, 7) of the 9th power of the matrix:\n[[7, 0, -8, -7, -3, 12, -5, -8, -4, -5, -12, -9],\n [0, -7, 12, -10, -6, 6, 3, 0, -4, 1, -3, 7],\n [-8, 12, -16, 3, 7, 8, 8, -4, -5, 6, 11, 3],\n [-7, -10, 3, -14, -2, 4, 4, 2, 0, 6, -10, -8],\n [-3, -6, 7, -2, -4, 4, 8, 12, 3, 7, ... | 11805277332809 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -9, 15, 4, 2, 12, 14, -11, -13, 12, -14, -16],\n [-2, 4, 14, -10, 0, 2, -14, 13, 12, -3, 11, 13],\n [9, -10, 14, -12, -3, 10, 7, 12, 5, -9, -2, -12],\n [-13, -6, 1, 13, -2, -11, -1, -8, 10, ... | 86428447424252 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (4, 11) of the result:\nA =\n[[6, 6, 4, -1, -7, 10, -10, 2, 2, 4, 4, -4],\n [6, 6, 12, 2, 10, -8, 0, -1, 16, -15, 7, -4],\n [4, 12, 11, -5, 2, -12, -4, 0, 8, 10, -3, -8],\n [-1, 2, -5, 4, -8, 10, 5, -10, 4, -6, 12, 8],\n [-7, 10, 2, -8,... | 16356272063 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[9, -6, -2, 2, -15, -4, -6, 0, 0, -3, 12, 0],\n [-6, -2, 0, 2, -2, 10, -4, 5, 5, 3, 3, -9],\n [-2, 0, 11, 2, -2, 12, -6, 5, -4, 8, -4, 2],\n [2, 2, 2, -13, -4, 11, 4, 3, 10, 12, 9, -6],\n [-15, -2, -2, -4, 16, 0, -7, ... | 6715088678861293 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[10, 6, 16, -13, 4, 7, 14, 7, -7, -15, 14, 8],\n [-13, -6, 0, -15, -11, -8, -12, 3, 12, 4, -8, 11],\n [-9, 14, 3, 10, -9, 4, 11, 6, -11, -14, -12, -8],\n [-10, -13, -12, -6, -2, -4, -10, -11, 13, 5, 8, 11],\n [3, -14, -12, -16, -2, 9, -14, -12, 14, -4, -16, 5],... | 43774686936 | MATH |
[
{
"content": "Find the value at position (6, 7) of the 7th power of the matrix:\n[[-11, 1, 2, -12, 8, -6, -7, 0, 9, 14, 15, 4],\n [1, 1, -16, -3, -9, -15, -2, -16, 4, -16, 15, 3],\n [13, -10, 5, -7, -9, 10, -7, -3, -6, -11, 4, 16],\n [2, 7, 1, 2, 7, 5, -13, -7, -15, -9, 16, 11],\n [-7, -16, -14, -8, -12, -7, -5... | 33319898205 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 7) of the result:\nA =\n[[12, 4, 6, 2, 2, -14, -2, 2, -14, -2, 4, -4],\n [4, -3, 6, 10, -10, 5, 0, 0, -5, -12, -8, -16],\n [6, 6, 15, 6, 4, 12, -6, -4, 0, 0, 8, 7],\n [2, 10, 6, -16, -1, -10, 2, -14, -10, 10, -2, 12],\n [2, -10, 4, ... | -6674743014 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[14, -12, -4, 9, -4, 4, 8, 10, 0, -4, 2, -2],\n [-12, -2, 12, 4, -3, 2, -2, 0, 1, 4, 8, 4],\n [-4, 12, 4, -8, -2, 0, -12, 4, 7, -16, -14, -2],\n [9, 4, -8, 9, 5, -10, 0, 2, 6, 1, -14, 5],\n [-4, -3, -2, 5, -12, 5, -4, -3, 0, -8, -4, -7],\n [4, 2, 0, -10, 5, 7, ... | -155324187974 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[8, -2, 4, -12, -6, 2, 2, 11, 11, 5, 4, -1],\n [-2, 4, -13, 16, -6, -7, -5, 0, 1, 8, -2, 3],\n [4, -13, -12, -9, 1, -8, 14, 6, 2, -2, 4, -3],\n [-12, 16, -9, 13, 6, -9, 13, -12, -1, 0, 7, 14],\n [-6, -6, 1, 6, 3, 4, 10, -8, -4, 10, 2, -... | 20549628013809 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[4, -8, -15, -13, -9, 15, -3, -4, 4, 7, 1, 9],\n [15, 16, 14, 1, -5, 8, 14, -7, -14, -9, 15, 12],\n [5, 3, -11, 12, 0, 14, -13, -15, -5, -11, -9, 4],\n [-2, -10, -2, -11, 0, -13, 5, 15, 5, 10, -2, 5],\n [11, -8, -8, -2, 3, -9, 11, 2, -1, -6, -9, 16],\n [-7, 1, ... | -197390966671461 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[3, -3, -8, -2, -5, -12, 6, 2, 6, -3, 0, -12],\n [-3, -10, 11, 6, -2, -10, 4, 1, -15, -4, 0, 4],\n [-8, 11, 7, 9, -2, -2, 2, 2, -6, -6, -8, -1],\n [-2, 6, 9, 0, 0, 6, 9, -12, -9, 0, 0, 2],\n [-5, -2, -2, 0, 1, 6, 2, 6, 1, -8, -10, 2],\... | 10475660005314 | MATH |
[
{
"content": "What is the value at position (7, 11) of the matrix A^9 where A is:\n[[10, 8, -2, -2, 5, 7, 2, 1, -6, 6, -2, 6],\n [8, 10, 8, -1, 2, 8, -2, -2, 4, -14, -8, 10],\n [-2, 8, -2, -2, 1, 1, -4, 4, 4, -8, 11, 0],\n [-2, -1, -2, 15, 2, 6, -4, 7, 8, -15, -12, 4],\n [5, 2, 1, 2, 15, -6, -14, -2, 0, -11, 0,... | -241105821879 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-11, 14, 11, -9, 12, 4, 0, 7, 14, -15, -14, 13],\n [-9, -10, -5, 2, 9, 11, -2, -3, -3, -14, 12, -11],\n [6, 11, -3, -3, 3, -4, 10, -15, 7, 12, -14, -13],\n [-15, 3, -2, 15, -16, -10, -4, -16, -3, 12, -14, 7],\n [-16,... | 1299263434730 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[9, 4, -2, -4, -8, -2, -2, 6, -12, -15, 3, 6],\n [4, 11, -5, 2, -8, -8, 4, -2, 10, 10, 6, 2],\n [-2, -5, -5, -2, -2, -5, -10, -14, 5, -2, -2, -2],\n [-4, 2, -2, 14, -1, 8, 4, -6, -10, 2, 2, 2],\n [-8, -8, -2, -1, 15, -6, 2, -2, 5, 9, -8, -8],\n [-2, -8, -5, 8, ... | -97287678534 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[1, -1, -1, -8, -6, 7, -8, 5, 4, 0, -2, -8],\n [-1, -6, 8, 3, 4, 10, -14, -3, -12, -3, 4, 10],\n [-1, 8, -9, 4, -4, -3, -2, -4, 14, 6, 1, -12],\n [-8, 3, 4, -15, 4, 11, -8, 10, -7, -8, -2, 0],\n [-6, 4, -4, 4, -2, -1, -3, 8, -4, -11, 0, 14],\n [7, 10, -3, 11, -... | 8415081445348585 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (4, 5) of the result:\nA =\n[[-11, -3, -14, -16, 13, 2, 2, -8, -10, -10, -8, -13],\n [8, -5, -11, 1, 4, -2, -14, -15, -13, 15, -15, 12],\n [-15, 10, 1, 2, 10, 3, 4, 6, 13, 8, 14, 10],\n [-9, 2, 9, 11, -13, 14, -1, -7, -7, -8, 2, 2],\n [... | 27013310823 | MATH |
[
{
"content": "Find the value at position (9, 11) of the 7th power of the matrix:\n[[4, -4, 10, -8, 0, 0, 8, 10, 6, 5, 2, 2],\n [-4, 4, 6, 0, -4, 7, 3, -4, 0, 8, -2, 4],\n [10, 6, -11, 2, -2, -9, 6, 0, 5, 11, -2, 8],\n [-8, 0, 2, 12, 2, -1, 0, 1, -6, 0, 2, -12],\n [0, -4, -2, 2, -3, 0, 0, 2, 0, -2, 7, 10],\n [0,... | 15772564404 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-11, 12, -1, -1, -5, -3, -1, -8, -12, -15, -4, -8],\n [12, -4, -8, 0, 14, 7, 8, 6, 6, 5, 2, 10],\n [-1, -8, 4, -4, 6, 6, 2, -12, -4, 8, 2, -8],\n [-1, 0, -4, -5, 3, 0, 2, 9, -6, -12, -2, 3],\n [-5, 14, 6, 3, 11, -1, -10, -2, 14, 12, 1... | 56862190250313 | MATH |
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