messages listlengths 1 1 | ground_truth stringlengths 5 12 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^6 and find the value at position (7, 1) of the result:\nA =\n[[10, -2, 8, 3, -9, -2, 1, -5],\n [-7, 8, 10, 6, 12, -9, -9, 11],\n [-7, -2, -12, -11, -4, 3, -7, 10],\n [-4, 6, -8, 8, -3, -6, -11, 7],\n [-9, -5, -10, -11, -4, -2, -9, -4],\n [-7, -12, -10, -6, -4, -5, 8, 0... | -19456607 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 5th power of the matrix:\n[[-5, 0, 5, -7, 5, 6, -1, 7],\n [0, -11, -8, 6, -6, -7, -6, 3],\n [5, -8, -9, -4, -7, 2, 0, -6],\n [-7, 6, -4, -10, 4, -4, -6, -10],\n [5, -6, -7, 4, 10, -2, 2, -6],\n [6, -7, 2, -4, -2, 10, 4, -8],\n [-1, -6, 0, -6, 2, 4, 8, 3],\n... | 2740168 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, -3, 0, 2, -1, -2, -6, 0],\n [-3, -8, -6, -1, -11, 0, 9, -8],\n [0, -6, -12, 8, -4, -2, 2, 8],\n [2, -1, 8, -7, -8, -5, 0, -4],\n [-1, -11, -4, -8, -3, -10, 3, 10],\n [-2, 0, -2, -5, -10, -11, -6, -10],\n [-6, 9,... | 89143871216 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[6, 0, -3, -1, 9, -4, 0, 2],\n [0, 10, 0, 2, 6, 3, -8, 2],\n [-3, 0, -10, 2, -4, 0, -7, 0],\n [-1, 2, 2, -11, 5, 4, 5, 2],\n [9, 6, -4, 5, -6, -1, 0, -4],\n [-4, 3, 0, 4, -1, -2, -6, -3],\n [0, -8, -7, 5, 0, -6, 7, -8],\n [2, 2, 0, 2, -4, -3, -8, -6]], determin... | 1026931529 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, 4, -6, -2, 3, 2, 0, -8],\n [4, -4, -4, 2, -1, 6, 0, -2],\n [-6, -4, -8, -8, -6, 6, 8, -1],\n [-2, 2, -8, 7, 2, -12, 1, 8],\n [3, -1, -6, 2, -7, 2, 2, 11],\n [2, 6, 6, -12, 2, 1, 7, 2],\n [0, 0, 8, 1, 2, 7, -9, 0]... | 55508536 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 4, -2, -1, 8, 2],\n [-4, -12, -4, 0, 2, 9, -10, 1],\n [-2, -4, 3, 6, -6, 8, -4, 10],\n [4, 0, 6, 10, -2, 4, 2, -6],\n [-2, 2, -6, -2, -3, 4, -6, -7],\n [-1, 9, 8, 4, 4, -2, -6, -8],\n [8, -10, -4, 2, -... | 1834158318 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 5) of the result:\nA =\n[[4, 3, -1, 6, 6, -5, 0, 4],\n [3, 4, 0, -2, 4, -2, 1, -1],\n [-1, 0, -11, -2, 0, 0, -1, -2],\n [6, -2, -2, -4, 1, 6, 0, 10],\n [6, 4, 0, 1, -3, 4, 4, 2],\n [-5, -2, 0, 6, 4, 9, 5, 0],\n [0, 1, -1, 0, 4, 5, 1... | 18232529 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[5, -4, 4, -4, 0, 0, -2, 7],\n [-4, -4, 3, 5, 0, -3, 4, 0],\n [4, 3, -7, -2, 0, -4, 0, 5],\n [-4, 5, -2, -6, 4, 0, 2, 7],\n [0, 0, 0, 4, 1, 2, -2, 2],\n [0, -3, -4, 0, 2, 6, -6, 4],\n [-2, 4, 0, 2, -2, -6, 12, 0],\n ... | 21996950 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, 0, -4, 0, 0, -6, -9, 1],\n [0, -7, -2, -2, -2, -4, -5, 6],\n [-4, -2, -8, 2, -6, 3, -4, -2],\n [0, -2, 2, -10, -5, -5, 0, -1],\n [0, -2, -6, -5, -8, -2, 4, -2],\n [-6, -4, 3, -5, -2, 12, 2, 2],\n [-9, -5, -4, 0, ... | 472468890 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -12, 5, 4, 12, 5, 6, 12],\n [-8, 0, 11, 10, -7, 0, 5, -9],\n [-4, 10, -10, 9, 11, 11, -5, 0],\n [11, 9, -2, -3, -2, -10, 12, 1],\n [1, 6, -9, -12, -11, -7, 0, 1],\n [-12, 12, -5, 5, 1, -11, 11, -1],\n [11, -12, 8, 2, -2, 5, 4, -10],\n [2, 0, -10, 0, -4, -3,... | 879192 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[12, 0, 0, 6, 2, -3, -1, -3],\n [0, -4, -2, 6, 2, 2, -1, -8],\n [0, -2, -12, 1, -2, -6, 0, -9],\n [6, 6, 1, 6, 0, 0, 5, -4],\n [2, 2, -2, 0, -5, 0, -10, -4],\n [-3, 2, -6, 0, 0, 3, -4, -6],\n [-1, -1, 0, 5, -10, -... | -8735435235 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-10, 6, 5, -6, -8, -4, -4, 3],\n [6, 5, -2, -4, 2, -4, -4, -3],\n [5, -2, -2, 0, 0, 5, -4, -4],\n [-6, -4, 0, -1, 9, -6, 4, -4],\n [-8, 2, 0, 9, -3, 0, 2, -3],\n [-4, -4, 5, -6, 0, 9, -4, -6],\n [-4, -4, -4, 4, 2, -4, -9, -2],\n [3, -3, -4, -4, -3, -6, -2, -9]... | 387459900 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^6 where A is:\n[[-3, 4, 6, 4, 2, 4, 5, 11],\n [4, 5, 1, -2, -10, 1, -6, -8],\n [6, 1, -2, -2, 5, -2, -1, -7],\n [4, -2, -2, 8, -8, 1, -6, 0],\n [2, -10, 5, -8, -2, 6, 8, -1],\n [4, 1, -2, 1, 6, -3, 8, 4],\n [5, -6, -1, -6, 8, 8, 11, 10],\n [11, ... | -53959620 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^7 where A is:\n[[-11, 10, 6, 2, 0, -11, -10, 1],\n [7, 0, 10, 3, -1, -12, -7, 0],\n [9, 11, -11, 5, 4, 6, 10, 2],\n [-5, 10, -4, -5, -5, -2, 5, 4],\n [9, 10, -7, 10, 11, -11, -12, -3],\n [-5, 3, 11, 1, 11, 3, 1, -6],\n [5, 7, -4, 11, -9, 11, 3, ... | 111286436 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (3, 5) of the result:\nA =\n[[-2, -5, -3, -7, 4, -7, -6, 0],\n [-7, -10, 12, 0, -3, -9, -8, 8],\n [6, 5, 11, -6, 8, -12, 4, 11],\n [7, 7, 12, 5, -8, 9, -7, -3],\n [6, -3, -7, -3, -3, 8, -1, 11],\n [-9, 0, -3, 3, 6, -7, -4, 1],\n [11, -3... | 82707286 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^5 where A is:\n[[-1, 3, -5, 0, 0, -4, 0, -12],\n [3, 2, 10, -10, -4, -10, 4, 0],\n [-5, 10, 10, 4, -8, 1, 6, -1],\n [0, -10, 4, 3, -3, 8, -9, 3],\n [0, -4, -8, -3, -6, -2, 2, 0],\n [-4, -10, 1, 8, -2, 5, -8, 0],\n [0, 4, 6, -9, 2, -8, -10, 0],\n... | -953247 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, -8, -11, 6, 11, -10, 2, -6],\n [-8, 10, -3, -4, 10, 1, 9, 0],\n [-12, 3, 7, -5, 4, -7, -11, 0],\n [12, -5, 12, -4, 0, 5, 5, -4],\n [-11, -9, 5, 4, -1, 3, 0, -2],\n [1, -3, 10, 8, 6, 11, 8, 4],\n [-4, 1, -8, -10, ... | 34237246 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-11, -5, 4, 8, 0, 4, 6, 4],\n [-5, 5, 2, -4, 0, 6, 2, 11],\n [4, 2, -12, -12, 4, 9, -2, -2],\n [8, -4, -12, -3, -6, 8, 4, 6],\n [0, 0, 4, -6, -11, -4, 4, 0],\n [4, 6, 9, 8, -4, 9, -6, 0],\n [6, 2, -2, 4, 4, -6, -1, ... | 1934345230 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, -2, -5, -6, 1, 2, 1, -6],\n [-2, -4, 10, -2, -4, 0, 12, 0],\n [-5, 10, 7, 0, -4, 3, -1, -3],\n [-6, -2, 0, -3, -2, -10, -4, 12],\n [1, -4, -4, -2, -2, 6, 0, -8],\n [2, 0, 3, -10, 6, -5, -6, -6],\n [1, 12, -1, -4, 0, -6, 11, 4],\n [-6, 0, -3, 12, -8, -6, 4,... | 26103639555 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[-3, 7, 7, 8, 0, 10, 1, -1],\n [10, 0, -3, -6, -8, -1, 12, -11],\n [-5, -5, 6, -8, -5, -3, 0, -4],\n [-6, 7, 7, 6, -2, -5, 9, 3],\n [-3, -7, -3, -3, 12, 6, -9, 6],\n [-10, 4, 1, -3, -7, 3, -4, 8],\n [-1, -1, 1, -1... | 36664973 | MATH |
[
{
"content": "What is the value at position (2, 7) of the matrix A^5 where A is:\n[[-1, 0, 4, 0, -4, 2, -2, -2],\n [0, -5, 4, 6, 0, 5, 6, 2],\n [4, 4, -3, -1, 2, 3, -6, 7],\n [0, 6, -1, -10, -3, -4, 3, -4],\n [-4, 0, 2, -3, -1, -6, 4, 3],\n [2, 5, 3, -4, -6, -12, 4, 4],\n [-2, 6, -6, 3, 4, 4, 12, -8],\n [-2, 2,... | 355566 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[10, 12, -2, 2, -10, -5, 11, -2],\n [12, -6, 2, -2, -4, 6, -2, -4],\n [-2, 2, -12, -4, -5, -4, 3, 10],\n [2, -2, -4, 5, 7, -4, 0, -2],\n [-10, -4, -5, 7, 10, 0, -5, -6],\n [-5, 6, -4, -4, 0, 10, -10, -8],\n [11, -2, 3, 0, -5, -10, 0, -2... | 8298212 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-11, 8, -12, 0, 10, -11, -9, -4],\n [-5, 5, 3, -9, -9, 5, -11, 8],\n [-2, 7, 11, -9, 11, 1, 8, 4],\n [12, -5, -12, 6, 6, 8, -6, -12],\n [-12, -3, 0, 9, -8, -1, -10, 6],\n [-9, 2, 0, -2, -11, -4, -1, -9],\n [6, -3, -2, -6, 0, -4, -1, -11],\n [9, 8, -12, -6, -12... | 2602993610 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-5, 4, 8, 6, -9, -9, -5, -3],\n [3, 6, -12, -8, -11, 3, 0, -7],\n [-9, 12, -6, -11, 10, -3, 1, -5],\n [-10, -10, -11, 4, 6, -3, -1, 10],\n [-2, -4, 12, 0, -7, 1, 9, -2],\n [-8, -11, -6, 4, -7, 1, -9, -10],\n [-2, -12, 1, -7, 10, 4, 4, 10],\n [-2, 9, -6, 0, -5,... | -16859598 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-6, 1, 10, 4, 0, -6, 4, 4],\n [1, 5, -4, -8, 2, -5, -8, 8],\n [10, -4, 3, 5, -7, -2, 4, 2],\n [4, -8, 5, 9, -4, 0, 1, 6],\n [0, 2, -7, -4, 10, -3, 8, -4],\n [-6, -5, -2, 0, -3, -6, -4, 1],\n [4, -8, 4, 1, 8, -4, 1, 0],\n [4, 8, 2, 6, ... | 5070059918 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-9, -1, 5, -5, -1, -9, -5, -11],\n [-9, -1, 12, 8, 9, -3, 2, -4],\n [-4, -6, -11, -6, -4, 5, 10, -1],\n [-6, 6, 9, 11, 3, -5, 6, -7],\n [-11, -11, -5, -3, 8, 8, -2, 7],\n [7, 11, -10, 3, -10, -5, 6, -1],\n [5, 0, -2... | 83048000 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 8) of the result:\nA =\n[[-4, -12, -3, 0, -1, -9, -6, -3],\n [9, 12, -6, 2, 6, -6, 1, 8],\n [1, 5, -3, -10, -7, 9, 10, 9],\n [-4, 1, 8, 8, 11, -5, -12, -10],\n [9, -7, -12, 5, -3, 10, 4, 8],\n [-12, 9, 10, -5, -1, 6, 1, 6],\n [4, 3,... | 6030290 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[10, 1, -7, 5, -5, -8, 9, -5],\n [-7, -3, -10, 0, -6, -9, 0, -7],\n [3, 9, 8, -12, 11, 0, -11, 7],\n [6, -7, -2, 4, -4, -8, -8, 3],\n [-9, 7, 0, 4, -4, 12, 0, 3],\n [7, -3, -3, 7, 3, 10, 7, -12],\n [-2, 0, 12, 5, -8, -9, 11, -7],\n [2, 10, -11, -9, 1, -9, 5, 7]... | 35457757439 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[3, -2, -3, 0, 4, -2, 4, -8],\n [-2, -2, -6, -6, -4, 5, -11, 5],\n [-3, -6, 12, -4, 12, 0, 2, 8],\n [0, -6, -4, 10, -4, 7, 7, 1],\n [4, -4, 12, -4, 9, -1, 8, -4],\n [-2, 5, 0, 7, -1, 8, 10, -4],\n [4, -11, 2, 7, 8, 10, -11, 8],\n [-8, 5, 8, 1, -4, -4, 8, 11]], ... | 3943848546 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 6) of the result:\nA =\n[[-4, -10, 9, 1, -10, -7, 10, 8],\n [6, 11, 0, -8, -12, -1, 2, 12],\n [6, -11, -10, -6, -2, -3, -5, -11],\n [1, 0, -6, 8, -4, -6, -12, -12],\n [-7, 12, -12, 3, -10, 0, 8, -9],\n [4, -3, -9, 7, -1, 0, -9, 3],\... | -1022222 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, -2, 1, 10, 4, -4, -2, 4],\n [-2, -11, 4, -3, 2, -4, 6, 1],\n [1, 4, -1, 3, 2, -1, 6, -2],\n [10, -3, 3, 6, 0, 5, 2, -3],\n [4, 2, 2, 0, -2, 0, 7, 10],\n [-4, -4, -1, 5, 0, -2, -2, -6],\n [-2, 6, 6, 2, 7, -2, ... | 1750636669 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^7 where A is:\n[[12, -3, -6, 5, 7, 1, -1, -5],\n [12, -6, -8, -12, 2, -4, -1, 9],\n [5, -2, -3, -3, 5, -12, 7, -2],\n [-11, -2, 12, -11, -4, -12, 10, -7],\n [9, -11, 2, -12, 11, 11, 5, -9],\n [0, -9, 2, -11, -4, -1, 1, 7],\n [-9, 2, -9, -8, -3, ... | -124621101 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-7, -1, 2, 6, -4, 6, -1, -6],\n [-1, 2, 6, -2, 6, 2, 10, 8],\n [2, 6, -3, 4, 0, 2, -1, -4],\n [6, -2, 4, -12, 7, -8, 8, -1],\n [-4, 6, 0, 7, -4, -2, -3, 4],\n [6, 2, 2, -8, -2, -1, -2, -10],\n [-1, 10, -1, 8, -3, -2, 3, -4],\n [-6, 8, -4, -1, 4, -10, -4, -1]],... | -791024 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 8, -7, -2, -7, -8, 6, 2],\n [8, -9, 1, 4, 2, -3, -6, 6],\n [-7, 1, 6, -4, -4, -2, -2, 4],\n [-2, 4, -4, -9, 5, 3, 2, -2],\n [-7, 2, -4, 5, 8, -10, 10, -4],\n [-8, -3, -2, 3, -10, 4, 12, -7],\n [6, -6, -2, 2, 1... | -2518025 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[4, -2, -6, -10, -5, -2, 8, -8],\n [-2, 8, -1, 8, 2, 0, 4, 0],\n [-6, -1, -9, -2, 4, 3, -4, 6],\n [-10, 8, -2, -4, 2, -1, -2, 10],\n [-5, 2, 4, 2, -10, -2, 1, 4],\n [-2, 0, 3, -1, -2, -2, 2, -12],\n [8, 4, -4, -2, 1,... | 3093727240 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-1, 3, 0, 4, -12, 2, -2, 9],\n [3, 8, 9, -6, -4, -2, 10, 0],\n [0, 9, -9, 7, 1, -5, 6, 4],\n [4, -6, 7, 12, -2, 10, -2, -4],\n [-12, -4, 1, -2, 8, -6, -2, -2],\n [2, -2, -5, 10, -6, -1, -4, 1],\n [-2, 10, 6, -2, -2, -4, -3, 6],\n [9, ... | 5720559510 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[12, 4, -5, 9, 2, -1, -4, -5],\n [4, -5, 4, -8, 8, -1, 2, -3],\n [-5, 4, 3, 0, -5, 0, 3, -4],\n [9, -8, 0, 5, -4, -6, 8, 0],\n [2, 8, -5, -4, 5, 8, 4, -5],\n [-1, -1, 0, -6, 8, -5, 0, 0],\n [-4, 2, 3, 8, 4, 0, 1, 4],\n [-5, -3, -4, 0, -... | 48004307 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, 0, -3, 3, 6, 0, -2, 2],\n [0, -5, -4, -5, -2, 2, 0, 0],\n [-3, -4, 6, 4, -1, -11, 0, -10],\n [3, -5, 4, -12, -6, -2, -2, -1],\n [6, -2, -1, -6, -8, -2, -5, 2],\n [0, 2, -11, -2, -2, 11, 2, -4],\n [-2, 0, 0, -2, -5, 2, -6, -7],\n [2,... | -13341948 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[-10, -11, -3, -7, 10, -6, 3, -7],\n [3, 11, -1, 9, 2, 9, -10, 3],\n [5, 2, 10, -7, 4, -11, -11, 4],\n [6, -8, -9, 5, -5, -4, 11, 10],\n [5, 9, -2, 3, 3, -9, 8, -4],\n [0, 12, 7, -5, -2, 8, -4, 5],\n [7, -10... | 356599 | MATH |
[
{
"content": "What is the value at position (1, 7) of the matrix A^7 where A is:\n[[-1, 0, 4, -7, 3, -6, -1, 0],\n [0, 2, 1, -2, 8, 3, -2, -8],\n [4, 1, -8, 0, -1, 8, 9, 0],\n [-7, -2, 0, 11, -2, 4, -4, 5],\n [3, 8, -1, -2, -8, -2, 10, 2],\n [-6, 3, 8, 4, -2, 8, 0, 4],\n [-1, -2, 9, -4, 10, 0, -9, -9],\n [0, -8... | -853959226 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[5, 9, -3, -7, -11, 7, -2, 5],\n [1, 7, 0, -6, 8, 7, -3, 6],\n [0, 9, -11, 7, -1, -5, 5, 12],\n [-11, 3, -5, 3, -5, 10, 0, -7],\n [-12, -11, -6, 0, -9, -4, 6, 7],\n [-10, 10, -11, 3, -3, -1, 5, -11],\n [1, -1, 7, ... | -10419788022 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-8, 10, -4, -3, 4, 12, -10, -12],\n [-6, 2, 6, -5, -2, -11, 7, -11],\n [-2, 7, 4, -3, -8, -10, -4, 7],\n [9, 12, -11, 10, 6, 4, 12, 12],\n [-1, 7, -4, 10, -9, 5, 3, 8],\n [11, -3, 9, -1, -2, -8, 7, -2],\n [3, 2, -7, 0, 3, -10, 5, -12],\n [12, 4, 7, -7, -4, -9,... | 241414 | MATH |
[
{
"content": "Find the value at position (5, 8) of the 5th power of the matrix:\n[[9, 6, -7, 2, -2, 6, -5, -8],\n [6, -6, 2, 6, 7, -4, 2, -2],\n [-7, 2, -10, 7, 4, 1, 0, 2],\n [2, 6, 7, 5, 0, 8, -4, 6],\n [-2, 7, 4, 0, -2, 0, 0, -2],\n [6, -4, 1, 8, 0, -2, 4, -7],\n [-5, 2, 0, -4, 0, 4, 7, 2],\n [-8, -2, 2, 6, ... | 175630 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, -8, 1, -6, -1, 8, 5, -2],\n [11, -4, -2, 5, -11, 7, 0, 2],\n [-5, -8, -8, -6, -1, 7, -1, -4],\n [-9, -5, 6, 9, -12, 10, -2, 10],\n [0, 5, 8, 7, -3, 0, 12, -1],\n [0, -11, -10, 4, 8, 6, -1, 3],\n [7, 7, 9, -3, 10, 10, 2, -5],\n [6, -8, -1, -3, 9, 1, 9, -1]]... | -460427258 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[11, 0, 8, 8, 4, -12, 9, -3],\n [-8, -2, -3, -7, 2, -4, -5, 10],\n [10, -7, -7, 4, -1, -6, -8, 3],\n [10, -7, -5, -10, -5, -6, 4, 6],\n [7, 1, 12, -7, -6, -8, 6, 8],\n [-6, -4, -1, 12, 2, 2, 11, 8],\n [3, 10, 7, 2, -8, -1, -9, -10],\n [-12, 0, -8, -1, -11, -7, ... | 321873807 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (2, 5) of the result:\nA =\n[[11, -8, 5, 3, 4, -11, 4, -3],\n [-10, 1, 6, -1, -12, -6, -6, 0],\n [-4, -8, -9, -8, 11, 11, 7, -1],\n [-5, 0, -9, 7, -2, 2, 11, 1],\n [5, 7, -12, -12, -2, 11, 7, -7],\n [-8, 0, -3, -7, -9, -9, -6, 3],\n [-1... | -24014456 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[6, 3, -10, -9, -1, -6, 2, 10],\n [2, -8, 12, 10, -11, -1, 6, 10],\n [-8, 10, 12, 12, -10, 11, -7, 0],\n [7, 2, -9, 7, -6, 9, 5, 8],\n [8, 9, -6, -1, -2, 11, -1, 2],\n [-5, -2, 8, 5, -3, -5, -7, -10],\n [7, -1, 4, -10, 7, 5, -1, 9],\n [... | 200452350 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[1, 7, 0, -2, 8, -2, 6, -2],\n [7, -5, -6, 4, -4, -2, 1, -8],\n [0, -6, 10, -4, -6, 10, 4, 3],\n [-2, 4, -4, 0, -5, 6, -2, 8],\n [8, -4, -6, -5, -7, -2, 6, 0],\n [-2, -2, 10, 6, -2, -11, 2, -2],\n [6, 1, 4, -2, 6, 2, -7, -4],\n [-2, -8... | -660007287 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[2, 2, -1, -2, 3, 2, -2, -3],\n [2, -2, 2, -2, -8, -2, -7, -4],\n [-1, 2, 5, 0, -2, 3, -2, 7],\n [-2, -2, 0, 12, 3, 8, 6, -4],\n [3, -8, -2, 3, -3, 2, -8, -2],\n [2, -2, 3, 8, 2, 7, 2, 8],\n [-2, -7, -2, 6, -8, 2,... | 403609160 | MATH |
[
{
"content": "Find the value at position (8, 6) of the 5th power of the matrix:\n[[-5, -4, 2, -2, -4, 10, 9, 2],\n [-4, 4, 7, 6, 3, -2, -4, 5],\n [2, 7, -6, 0, 10, 3, -2, 4],\n [-2, 6, 0, -12, -10, -4, -10, 2],\n [-4, 3, 10, -10, 9, 1, -10, 4],\n [10, -2, 3, -4, 1, -9, 2, -2],\n [9, -4, -2, -10, -10, 2, -8, -2]... | -606008 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -1, -1, -8, 7, -6, -11, 0],\n [11, -4, 2, 2, -12, 8, 7, 8],\n [12, -10, -12, 6, 7, 0, 2, 0],\n [5, 4, -12, 2, 11, -9, -11, 6],\n [-5, 9, 3, -5, -3, 3, -8, 6],\n [-7, -3, 11, -8, 8, 6, 6, 0],\n [2, -5, -2, -12, -9, 12, 9, 9],\n [0, -6, -6, -7, 12, -5, -1, 11... | -989952 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^5 where A is:\n[[5, 10, 2, 3, -12, -3, 2, 11],\n [0, 6, 0, -4, 8, 3, 10, 1],\n [10, -4, 5, -9, -1, 11, -8, -2],\n [-8, 6, 8, -6, -9, -5, -7, -7],\n [9, -9, 1, -10, -3, 9, -7, 5],\n [-3, -4, 3, 7, -9, -2, -1, 11],\n [6, -3, -6, -6, 5, -10, -1, 1]... | 1067080 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[11, 9, 0, -3, -1, 10, 9, 3],\n [-11, -10, -5, 7, 2, 11, 6, 5],\n [10, -12, 6, -11, -8, 5, 3, -3],\n [8, -10, 12, -3, 12, 11, 0, 8],\n [-3, -2, -6, -11, 6, 5, -2, 4],\n [-10, 7, -1, 12, -11, 12, -12, -4],\n [9, 11, 6... | 1973648659 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-10, 3, -3, 2, 0, -6, -12, 0],\n [3, -3, -1, -4, 2, 5, 4, 2],\n [-3, -1, -10, 0, -8, -6, -3, 2],\n [2, -4, 0, -5, 9, 4, -6, -4],\n [0, 2, -8, 9, -7, 8, -3, -8],\n [-6, 5, -6, 4, 8, 9, 0, 4],\n [-12, 4, -3, -6, -3, 0, 1, 6],\n [0, 2, 2,... | -13465690 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[-1, 8, 9, -9, 10, -6, -1, 10],\n [-2, -6, -3, -4, -11, -8, -3, 12],\n [1, 3, -11, 6, 10, -4, 1, 2],\n [6, -5, 2, -5, -9, -7, -2, -1],\n [11, -4, 5, 4, 8, -10, 0, -7],\n [1, -12, -9, 9, 5, -2, -2, -5],\n [-9, -11, -1... | 1202953749 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[10, 12, -4, 8, -6, 12, -6, 6],\n [12, -11, -10, 4, -2, 2, 8, -1],\n [-4, -10, -11, 2, 3, -6, -2, -4],\n [8, 4, 2, 11, 6, -10, 4, 8],\n [-6, -2, 3, 6, -1, 4, -9, -8],\n [12, 2, -6, -10, 4, -6, 2, 4],\n [-6, 8, -2,... | 27662718852 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-7, 0, 2, -3, 9, -3, -9, 1],\n [-5, -7, -1, -5, -7, 2, 12, 6],\n [1, -10, 5, -3, 1, 1, 9, -6],\n [-6, 8, 9, 10, -2, 5, -3, 2],\n [-1, 10, 4, 9, 11, 4, -12, -7],\n [8, 2, 6, 1, -3, -3, 10, -6],\n [-6, 1, 2, 9, 7, -4, 2, -4],\n [10, -6, ... | 5923390 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[10, 3, -1, 6, -3, 2, 2, -1],\n [3, -7, 0, -2, 10, -2, 8, 5],\n [-1, 0, -2, 6, 0, -4, -4, 8],\n [6, -2, 6, -11, 0, -4, 8, 0],\n [-3, 10, 0, 0, -6, 4, 0, 5],\n [2, -2, -4, -4, 4, 9, -2, 0],\n [2, 8, -4, 8, 0, -2, 4, -... | 899873481 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 6th power of the matrix:\n[[-5, -7, 6, 8, 10, -4, 7, 3],\n [5, 6, -6, -5, 8, 6, -12, 0],\n [-12, -2, -11, 8, -10, 0, -6, -11],\n [-11, -10, 0, -1, -12, 5, -8, 6],\n [-3, -7, 5, 2, 1, 11, 3, -9],\n [6, 8, -5, 12, -12, 7, 9, 9],\n [0, -4, -12, 2,... | 1469407827 | MATH |
[
{
"content": "For the matrix power A^6 where A =\n[[-6, -5, 2, -7, -12, -4, -6, 9],\n [7, 6, -9, -12, -4, -11, 3, -11],\n [-10, 1, 0, 4, -3, -10, -9, 12],\n [-8, -2, -7, -12, 6, -6, 10, -3],\n [-1, -1, -12, -4, 4, 10, -1, -11],\n [-4, -1, 12, 12, -9, 9, -1, 5],\n [-10, 9, -12, 10, 5, 11, 8, 10],\n [-5, 6, 9, 12... | 879373340 | MATH |
[
{
"content": "Find the value at position (8, 7) of the 6th power of the matrix:\n[[10, 4, 1, 6, -2, -4, 4, -12],\n [4, 4, 2, 2, 10, 7, 0, 2],\n [1, 2, 9, 10, 2, 0, -4, -3],\n [6, 2, 10, -5, 6, -2, 8, 3],\n [-2, 10, 2, 6, 5, -1, 4, 0],\n [-4, 7, 0, -2, -1, 3, 8, 0],\n [4, 0, -4, 8, 4, 8, -6, -10],\n [-12, 2, -3,... | 2705390 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[-6, 10, -5, 12, -4, 1, 10, -4],\n [2, 8, -9, -10, 9, -3, 12, -9],\n [5, -2, 6, 6, 5, 0, 12, -9],\n [-10, 3, 1, -3, -7, -5, 11, 3],\n [-3, 9, 8, -6, 6, 5, 0, -5],\n [1, -4, -1, -7, 7, 9, 10, -1],\n [11, 6, -... | -792282 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, -4, 0, 0, -8, 0, -2, 3],\n [-4, 4, 8, 10, 7, -8, 8, 3],\n [0, 8, 9, -6, 4, 2, 0, -8],\n [0, 10, -6, 11, 6, 0, -2, -1],\n [-8, 7, 4, 6, 5, -8, -8, -4],\n [0, -8, 2, 0, -8, -2, -3, 2],\n [-2, 8, 0, -2, -8, -3, -5, 0],\n [3, 3, -8, -1, -4, 2, 0, 8]], determin... | 119515115261 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-3, 1, 12, -7, 3, 12, -1, -9],\n [-12, -9, 12, 0, -6, 2, -7, 1],\n [5, -9, -12, -10, 0, 5, -9, -9],\n [-2, 1, 12, -6, -10, -6, -5, -1],\n [-6, 11, 3, 12, 4, 9, -9, 4],\n [5, -9, 4, 2, 9, 4, 0, 12],\n [-10, -1, 4, 9,... | 30824427039 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, 12, 0, 3, 8, -9, -6, -10],\n [7, 2, 12, 8, 1, -6, 5, 12],\n [-8, 8, 7, -5, 7, 5, 8, 6],\n [7, -10, 10, -7, 5, 2, 1, 11],\n [8, 9, -5, -2, -2, -1, 3, -6],\n [-10, -11, -10, -5, 7, -5, -9, 10],\n [0, 9, 4, 11, 9, 5, -8, -1],\n [-11, -3, -6, 2, 9, -6, 2, 3]],... | 103331956 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[9, -12, 2, -10, -3, 3, -11, 4],\n [-12, -9, -2, 4, -11, -12, -7, -2],\n [-9, 11, -2, -8, -3, -8, 11, 9],\n [9, -10, -7, 0, 3, -6, 5, -10],\n [-7, -3, 3, 12, 0, 12, 11, 11],\n [-4, 3, -2, -4, -3... | 1312123920 | MATH |
[
{
"content": "Find the value at position (6, 1) of the 6th power of the matrix:\n[[-4, -8, -7, 2, -4, -10, 6, 8],\n [0, 0, 10, -10, 7, 1, -11, 12],\n [-3, -4, 0, -2, -11, 3, -8, -12],\n [-5, 9, 3, 1, -11, 5, 8, -6],\n [12, 12, -1, 2, 9, -11, 9, 4],\n [-2, -11, 6, -8, 4, 3, 0, 0],\n [0, -8, -8, 7, 6, -6, -2, 10]... | -4697614 | MATH |
[
{
"content": "Find the value at position (2, 7) of the 7th power of the matrix:\n[[-9, -6, -9, 6, 10, 0, 4, 1],\n [-6, 9, 3, -2, 1, -2, 0, 5],\n [-9, 3, -9, 3, -4, -11, -10, 7],\n [6, -2, 3, 0, -4, -1, -3, -4],\n [10, 1, -4, -4, -3, -2, 2, -2],\n [0, -2, -11, -1, -2, 9, -2, 4],\n [4, 0, -10, -3, 2, -2, -2, 0],\... | -270791740 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (7, 3) of the result:\nA =\n[[2, 2, 8, 2, -7, -6, -2, 7],\n [2, -2, 2, 4, -12, -1, 9, 1],\n [8, 2, -11, -6, 0, 1, -6, 0],\n [2, 4, -6, -1, 1, 4, -3, 6],\n [-7, -12, 0, 1, -3, 1, 2, -8],\n [-6, -1, 1, 4, 1, 4, -4, -8],\n [-2, 9, -6, -3, ... | 64838306 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[0, 4, -4, -9, -4, -6, 10, -11],\n [5, 8, 2, -3, 4, -6, -2, -6],\n [-2, 11, 10, 11, 2, 6, 6, 11],\n [12, -3, 3, 7, -5, -12, -11, -3],\n [-3, -3, -4, 5, -11, 11, -8, 8],\n [-2, -7, -5, -5, 12, -3, -2, 6],\n [12, 1, -2, -10, -12, 8, 10, -10],\n [-4, -12, 9, -1, -... | -2837788627 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[8, -2, -4, -2, 2, -6, 3, 2],\n [-2, -5, 0, 6, -2, -10, -6, 0],\n [-4, 0, 8, -6, -8, 4, 6, 1],\n [-2, 6, -6, -5, 4, -3, 2, -8],\n [2, -2, -8, 4, 8, -4, -6, 7],\n [-6, -10, 4, -3, -4, 5, -4, 0],\n [3, -6, 6, 2, -6, -4, -11, 1],\n [2, 0, 1, -8, 7, 0, 1, -5]], det... | -4872106 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-8, -11, 6, 3, 0, -8, 4, 8],\n [-11, -4, 3, 0, -9, 8, 2, -8],\n [6, 3, -10, 8, -4, 8, 2, 2],\n [3, 0, 8, -10, 1, 0, 2, -8],\n [0, -9, -4, 1, 11, 6, 0, 0],\n [-8, 8, 8, 0, 6, -3, 0, -6],\n [4, 2, 2, 2, 0, 0, 10, 2],\... | 73172085 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, -2, 3, 5, -11, -3, 0, -5],\n [-6, 3, 4, -4, -5, 12, 7, -8],\n [-8, 12, 11, 0, 3, 9, -2, 2],\n [4, 2, 10, 12, -1, -9, -9, 8],\n [3, 2, -5, 8, 7, -5, -2, 8],\n [11, 4, -10, -6, -1, -12, -2, -8],\n [-7, 1, 4, 10, 12, 12, -10, -9],\n [-12, -9, 1, 8, -6, 8, 11... | -345232847 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-12, -8, 0, -11, 6, 5, -6, -4],\n [-8, -3, 5, 0, 6, 1, -2, 6],\n [0, 5, -5, 1, 2, -6, 1, 2],\n [-11, 0, 1, 4, -4, -4, 0, 10],\n [6, 6, 2, -4, -4, -8, 0, 8],\n [5, 1, -6, -4, -8, 11, 0, -2],\n [-6, -2, 1, 0, 0, 0, -11, -5],\n [-4, 6, 2, 10, 8, -2, -5, -12]], de... | -15717432 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, -7, 7, 0, -8, 0],\n [0, -11, 4, 4, -10, 2, 4, -2],\n [-2, 4, -3, 0, -6, 6, -10, 0],\n [-7, 4, 0, -1, 2, 11, 8, 4],\n [7, -10, -6, 2, 10, 0, 0, 5],\n [0, 2, 6, 11, 0, -1, -2, -5],\n [... | 17709118726 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -6, 6, 0, 0, 2, 0, -8],\n [-6, -10, 8, 0, 3, 2, 4, -2],\n [6, 8, 10, 4, 3, -3, -10, -8],\n [0, 0, 4, -11, -2, -3, 2, -6],\n [0, 3, 3, -2, -10, -3, -1, 2],\n [2, 2, -3, -3, -3, 0, -10, 2],\n ... | 4015294583 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[6, 0, 0, -4, -7, -10, -2, -8],\n [0, 10, -1, -6, 6, -2, 0, 2],\n [0, -1, 10, -8, 2, -8, 1, 8],\n [-4, -6, -8, -12, -2, 4, 2, -4],\n [-7, 6, 2, -2, -2, -12, -2, -4],\n [-10, -2, -8, 4, -12, -5, 6, 10],\n [-2, 0, 1, 2, -2, 6, 10, -2],\n [-8, 2, 8, -4, -4, 10, -2... | 344801900 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^5 where A is:\n[[4, 3, -7, 0, -3, 8, 2, 4],\n [3, 0, 1, 4, -9, -7, -8, 3],\n [-7, 1, -5, 4, 0, 2, 0, 0],\n [0, 4, 4, 3, 4, 5, -1, -4],\n [-3, -9, 0, 4, 8, -6, -1, -1],\n [8, -7, 2, 5, -6, -10, 2, 1],\n [2, -8, 0, -1, -1, 2, 0, -5],\n [4, 3, 0, -... | 1119864 | MATH |
[
{
"content": "What is the value at position (8, 6) of the matrix A^7 where A is:\n[[-7, -1, 10, 1, 5, 12, 10, 6],\n [-3, -3, -6, -3, 1, -8, 12, 9],\n [-2, -6, 7, 5, -2, 7, 12, -10],\n [-6, -9, 6, 8, 5, -2, 1, -3],\n [1, -9, 10, -1, -1, -11, -7, -8],\n [6, 8, 2, -3, -6, 6, -5, 2],\n [10, -9, 0, -8, -2, 3, 7, 5],... | -1157353027 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, -10, -1, 10, -11, 6, 11, -6],\n [-2, 6, -5, 0, -4, -11, 5, 2],\n [10, -2, 11, 2, 8, 5, 1, 8],\n [6, 0, 12, 3, -11, 12, -11, 4],\n [9, 9, 7, 5, -3, -1, -10, -7],\n [7, -8, 12, 8, -5, 5, 3, 1],\n [-7, -2, -7, -8, 2... | 183606108 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (6, 8) of the result:\nA =\n[[-6, -5, -2, 3, -2, 2, 8, 2],\n [-5, -6, 4, 0, -9, 2, 0, 4],\n [-2, 4, 4, 2, 2, 4, -2, 1],\n [3, 0, 2, -9, -6, -6, -1, 0],\n [-2, -9, 2, -6, 3, -11, 6, 6],\n [2, 2, 4, -6, -11, 9, 3, 5],\n [8, 0, -2, -1, 6, ... | 717039356 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[0, -7, 8, 0, 10, 9, 3, 7],\n [-3, -4, -6, 4, 11, 7, -6, -11],\n [6, -12, -11, -8, 5, -7, -7, 9],\n [3, 3, -10, -10, 10, -9, -7, 11],\n [-10, 12, -4, -10, -7, 8, 7, 11],\n [-4, 2, -4, -8, 8, 3, -10, -4],\n [4, -10... | -55070034274 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the value at position (5, 6) of the result:\nA =\n[[-10, 8, 0, -8, 6, -6, -4, 4],\n [8, -9, -4, -9, 0, 0, -6, 8],\n [0, -4, -11, -6, -4, 6, -2, 9],\n [-8, -9, -6, -8, 8, -1, 0, 3],\n [6, 0, -4, 8, -7, -3, 10, 11],\n [-6, 0, 6, -1, -3, -10, 4, 5],\n [-4, -6, ... | 23527939 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-11, -2, 12, -2, 9, -12, 12, -5],\n [4, -5, 0, 10, -8, -7, 7, 12],\n [12, 1, 4, 3, -4, 6, -11, -9],\n [7, -4, -9, -8, -7, 7, -12, 0],\n [5, -10, 7, -8, 0, -3, -10, -2],\n [-12, 2, 11, 11, -9, 2, -6, 2],\n [-9, -10, 1... | 112214294 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, 1, -10, 8, -6, -6, -3, 8],\n [1, -10, 4, -4, 0, 8, -10, 9],\n [-10, 4, -5, 6, 2, -9, -10, 2],\n [8, -4, 6, 11, 6, -2, 2, 4],\n [-6, 0, 2, 6, -4, 4, -5, -8],\n [-6, 8, -9, -2, 4, -12, -10, 8],\n [-3, -10, -10, 2, -... | 238280887 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-7, 4, -8, 10, 0, -1, -12, 12],\n [-1, 12, 9, -11, 5, -4, 3, 7],\n [2, 9, -3, -11, -9, 5, 6, 5],\n [1, -5, -8, -8, -5, -2, 11, 10],\n [8, -6, 0, 4, 6, -10, -11, -7],\n [6, 2, -9, 6, -6, 7, 8, 1],\n [-6, 7, 1, 9, 12, ... | 127089947 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-11, 6, 12, -7, -2, -2, 6, -5],\n [6, -2, 2, 2, 4, 10, 0, -8],\n [12, 2, 0, -2, 4, 1, -2, -2],\n [-7, 2, -2, -3, -7, 5, 1, 0],\n [-2, 4, 4, -7, 9, -4, 2, -4],\n [-2, 10, 1, 5, -4, -10, 0, -3],\n [6, 0, -2, 1, 2, 0, -6, 10],\n [-5, -8, -2, 0, -4, -3, 10, -9]], ... | 1502844 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, -11, 3, -5, 2, -2, -3, -10],\n [10, -2, 4, -3, 4, 1, 10, -12],\n [12, -4, 11, 11, 2, -9, 7, 8],\n [12, -10, 7, 8, -6, 8, 12, 9],\n [-10, 9, 9, 2, -3, 3, 4, 10],\n [6, -12, -12, 8, 1, -11, -11, 7],\n [-3, 2, 2, -6, -5, -2, 3, 10],\n [12, -6, 7, -4, 12, 6, 1... | -213568820 | MATH |
[
{
"content": "Calculate the matrix power A^6 and find the sum of all entries of the result:\nA =\n[[5, -5, -5, 9, -5, 1, 11, -11],\n [-10, -6, -10, 2, -2, -11, 9, 5],\n [1, 5, -11, -9, 1, -6, 2, -7],\n [-8, 7, 5, -2, -5, -1, 5, 2],\n [-5, -9, 8, 2, -2, -12, -11, -5],\n [3, -12, -10, 5, 3, 8, 7, 7],\n [0, 7, -9,... | 164796090 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[9, 3, -4, 4, -2, 0, 2, 2],\n [3, -8, 6, 11, 6, 6, 0, -2],\n [-4, 6, 2, 1, -5, 4, 11, 0],\n [4, 11, 1, 9, 5, -1, 4, 10],\n [-2, 6, -5, 5, 8, -8, -1, 1],\n [0, 6, 4, -1, -8, 11, 2, 8],\n [2, 0, 11, 4, -1, 2, 2, 2],\n [... | 44931769170 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[11, 10, -8, 0, -6, 4, -5, -8],\n [10, -6, -5, -6, 9, -1, -7, 8],\n [8, -9, 10, -10, -8, 6, -5, -8],\n [0, -3, -7, -12, -2, 7, -4, 3],\n [2, -8, 2, -12, 2, -9, 3, 9],\n [-6, 10, -5, 8, 9, -11, -1, -11],\n [1, 6, 7... | 2593325797 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[5, -2, -4, 2, -3, -8, 4, -6],\n [-2, -11, 2, 8, 6, -2, 0, -4],\n [-4, 2, -4, -2, 1, 8, 0, 0],\n [2, 8, -2, -1, -12, 2, -8, -1],\n [-3, 6, 1, -12, 6, -2, -2, 0],\n [-8, -2, 8, 2, -2, -8, 10, 6],\n [4, 0, 0, -8, -2, 10, 5, 4],\n [-6, -4, 0, -1, 0, 6, 4, -8]], de... | 1119772258 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^6 where A is:\n[[10, 8, 0, -1, -9, -7, 6, -7],\n [-7, -2, 9, 1, -10, -5, -9, 3],\n [5, -6, -2, -5, 7, -7, 11, 3],\n [-8, 12, -7, -7, -11, -6, -4, 2],\n [8, 1, 8, 0, -8, 4, -8, 11],\n [-10, -4, -4, 9, -9, 7, -2, 4],\n [1, -3, -8, 8, ... | 566601324 | MATH |
[
{
"content": "Find the sum of all entries of the 6th power of the matrix:\n[[-5, -4, -5, 10, -1, 1, 2, 0],\n [-4, -9, 6, -4, 3, -8, 1, 6],\n [-5, 6, 11, 0, -2, 1, -8, 8],\n [10, -4, 0, -4, -2, 2, -1, 4],\n [-1, 3, -2, -2, 7, 10, 1, 0],\n [1, -8, 1, 2, 10, -5, 0, -8],\n [2, 1, -8, -1, 1, 0, 4, 4],\n [0, 6, 8, 4,... | 132290334 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 7th power of the matrix:\n[[-2, 9, -4, -6, -7, 2, 0, -2],\n [9, 5, 6, -1, 5, -2, -10, -2],\n [-4, 6, 5, -1, 2, 6, 8, 0],\n [-6, -1, -1, -1, -3, -4, 6, 4],\n [-7, 5, 2, -3, 6, 4, 4, 0],\n [2, -2, 6, -4, 4, -12, -2, -4],\n [0, -10, 8, 6, 4, -2, -1, -3],\n [-2... | 655551514 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 5th power of the matrix:\n[[2, -6, 1, -4, -8, -12, 3, -8],\n [11, -5, 6, 7, -1, -5, -5, 10],\n [-7, 7, -4, -11, 5, -12, -2, 2],\n [-1, -10, 6, 7, 6, -3, 3, -7],\n [-4, -5, 9, 3, -5, 11, 9, 5],\n [-8, 7, -1, -7, -11, -9, 3, 11],\n [1, 4, 6, -9, 5, -1, -11, -... | -36375 | MATH |
[
{
"content": "What is the value at position (6, 2) of the matrix A^7 where A is:\n[[-12, 5, 5, -5, 9, 1, 0, 2],\n [2, 0, -9, -9, -8, -10, -1, 7],\n [-1, 7, -6, -6, -12, -1, -10, 2],\n [-4, 9, 9, 7, -4, 1, -10, -5],\n [-7, -1, -11, -10, 1, 4, -10, -9],\n [2, 9, -6, 6, 1, 3, 0, 10],\n [7, 4, 4, 11, -3, -6, 7, 4],... | -48581868 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[2, 4, 6, 5, 2, -2, 4, -6],\n [4, 6, 2, 2, 6, 8, 9, -5],\n [6, 2, -9, 6, 0, 2, 5, 2],\n [5, 2, 6, -6, 2, -2, -5, 10],\n [2, 6, 0, 2, -4, 6, 0, -8],\n [-2, 8, 2, -2, 6, 9, 0, -10],\n [4, 9, 5, -5, 0, 0, 9, -9],\n [-6, -5, 2, 10, -8, -10, -9, -3]], determine the ... | 3650799796 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-4, -8, -10, -2, -3, 3, 7, 6],\n [-12, -2, 2, -6, -5, 3, 5, 11],\n [12, 10, -2, -12, 3, -9, 10, -7],\n [-2, 11, -7, -3, -7, -3, 9, 10],\n [-8, -4, -6, 4, -1, 12, -2, -7],\n [11, 12, -2, -2, 1, 3, -11, -11],\n [-8... | -1291730552 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-6, -6, -2, -10, -2, 2, 0, -6],\n [-6, -9, 2, 3, 5, 2, -5, -9],\n [-2, 2, -10, 6, -10, 0, -3, -2],\n [-10, 3, 6, -8, 6, -6, -4, -4],\n [-2, 5, -10, 6, 7, 4, 5, 0],\n [2, 2, 0, -6, 4, 8, -4, 8],\n [0, -5, -3, -4, ... | -29265644 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.