messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, -1],\n [0, 4, -4, 3],\n [4, -4, -2, 4],\n [1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 2, 0],\n [2, -2, 0, 0],\n [2, 0, 2, -1],\n [0, 0, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 3, -2, 0],\n [-1, -2, -2, 3],\n [4, -3, -1, -2],\n [-2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-282
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, 0],\n [-4, -1, -4, -1],\n [-2, -4, 3, 2],\n [0, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1093
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, 4, 3, -4],\n [-3, 1, 2, 3],\n [-2, 3, 3, 1],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-236
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 1],\n [-2, 1, -1, 4],\n [2, 0, 4, -2],\n [1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
650
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 0, 1, 4],\n [0, -4, 0, -1],\n [1, 0, 2, 3],\n [4, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, 0, 0, -2],\n [2, 1, 0, -4],\n [-4, 4, -2, -3],\n [-4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 4, -4],\n [2, 0, 3, -2],\n [-3, -4, -3, 3],\n [2, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -3],\n [3, 2, -1, 2],\n [3, -4, 0, -1],\n [4, -1, -3, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 2],\n [2, 3, 0, -4],\n [1, 0, 3, 2],\n [2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10798
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 4, 0, -2],\n [2, 0, 1, 4],\n [-2, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -4, 3],\n [4, 4, 4, -4],\n [1, -3, 1, 3],\n [-1, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2109
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, 4, -2, 2],\n [4, 4, 1, -1],\n [-2, 1, 3, -2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2, -3],\n [-2, 1, 3, 3],\n [2, 3, 2, 3],\n [-3, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
493
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, -2, -4, -1],\n [-2, 3, 2, 1],\n [-4, 2, 4, 2],\n [-1, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1490
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, 1],\n [3, -3, 2, 1],\n [-2, 2, 2, 0],\n [1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1207
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -1],\n [2, -4, 4, 2],\n [-2, 4, -1, 2],\n [-1, 2, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 4, 0],\n [2, -1, -1, -1],\n [2, 0, 0, 2],\n [-3, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2389
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, 4, 0],\n [2, 0, 2, 2],\n [4, 2, -3, 2],\n [0, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -1, 2],\n [2, -1, -2, -3],\n [-1, -2, -2, -3],\n [2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6582
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 0, 2],\n [2, 4, 3, 0],\n [0, 3, -2, 1],\n [2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1009
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 2, -3, 0],\n [2, -3, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
274
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -1, -2, -3],\n [-1, -2, -2, 2],\n [-2, -2, -1, 0],\n [-3, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
758
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 0, 0],\n [2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -2, 4],\n [0, 1, -1, 0],\n [-2, -1, 2, 1],\n [4, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
594
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 3, 1],\n [1, 2, 1, 2],\n [-4, -2, 1, 4],\n [-1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -1],\n [-2, 1, -1, 3],\n [0, -1, 0, -2],\n [-1, 3, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
921
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, -2, 0, 1],\n [-2, 2, -2, -1],\n [0, -2, -3, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, 1, 3, 1],\n [0, 2, 4, 3],\n [2, -4, -1, 3],\n [0, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-160
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -2, 1],\n [3, 3, 0, 3],\n [4, 0, -4, 3],\n [-3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
832
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 1],\n [0, 2, 3, -1],\n [0, -2, -4, 2],\n [0, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
828
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, 2, 2],\n [1, 4, 1, 2],\n [0, -4, 2, 2],\n [-3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3696
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, 2, 1],\n [1, 1, 1, -2],\n [2, 1, 1, -4],\n [1, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
392
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 3, 3, -2],\n [-4, 1, -1, 0],\n [-1, 4, -2, -1],\n [2, 1, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -1, -2],\n [-2, 1, 0, -2],\n [-1, 0, 4, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8114
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -2],\n [0, -4, -3, -3],\n [-2, -3, 3, 3],\n [-2, -3, 3, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
744
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, -2],\n [0, 4, 0, 4],\n [0, 0, 4, 0],\n [-2, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
736
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, 2, -3, -4],\n [1, 2, -3, 4],\n [3, 2, 2, -4],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
241
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, 2, -1, 0],\n [-1, -1, 0, 0],\n [-2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, 4, -2, -3],\n [3, 0, 4, -3],\n [-3, 1, 1, 1],\n [4, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 2, 2],\n [0, -3, 2, 2],\n [2, 2, 2, -3],\n [2, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, -3, 0, -2],\n [-3, 1, 0, -2],\n [0, 0, 4, -2],\n [-2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-240
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, -1, -3],\n [-4, 0, -2, 3],\n [2, -4, -2, -3],\n [0, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-710
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 4, 0],\n [-1, 3, 4, 4],\n [-2, 3, 0, 4],\n [2, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
777
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, 1, 2],\n [-3, -4, 3, 2],\n [1, 0, 3, -3],\n [4, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5614
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, 0, -2, 0],\n [0, 0, -1, 0],\n [-2, -1, -2, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2, 0],\n [1, -2, -2, 2],\n [2, -2, 0, -4],\n [0, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, -2, 0],\n [-4, 3, -4, -2],\n [-2, 1, 2, -1],\n [-2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, -3, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
950
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, -1, -2],\n [-2, 2, -4, -4],\n [0, 3, -3, 3],\n [4, -1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-232
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, -3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-418
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 4, 1],\n [3, -2, -4, -2],\n [4, -1, -4, 3],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1615
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 2, -4],\n [2, 2, -3, -2],\n [-4, -4, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2264
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -2, 3],\n [1, -1, 0, 3],\n [-3, -4, -2, 2],\n [-3, 3, 1, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, 1, -3],\n [2, 1, -4, 0],\n [2, -3, 1, -4],\n [2, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 3, -2, 2],\n [3, -1, -1, 2],\n [-2, -1, -2, 4],\n [2, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
823
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -1, 3],\n [2, -4, 1, 4],\n [1, 2, -3, 1],\n [4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3640
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, -3, 1],\n [-3, 4, 0, -4],\n [4, 0, -2, 3],\n [-1, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, -2, 0],\n [1, 2, 0, 0],\n [-2, 0, -4, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, -2, 0, 0],\n [-2, -3, -1, 3],\n [0, -1, 4, 2],\n [0, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, -2],\n [0, 0, 2, -1],\n [0, 2, 3, -2],\n [-2, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5415
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[3, 3, -4, 0],\n [2, 1, 2, 0],\n [-1, -3, -2, -1],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-104
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 4, 2],\n [-1, 4, 0, 0],\n [4, 0, -3, -3],\n [2, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2570
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, 1, 0],\n [-2, 2, 4, 0],\n [1, 4, 3, -1],\n [0, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 2, 0],\n [2, 2, 1, 0],\n [2, 1, 2, 4],\n [0, 0, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3428
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -3, 0],\n [1, 4, -4, 4],\n [-3, -1, -1, -1],\n [1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -1, 3, -3],\n [-1, 3, 2, 1],\n [3, 2, -4, 0],\n [-3, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, 0],\n [-2, -4, 2, 4],\n [-2, 2, -3, 0],\n [0, 4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13139
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -3, -2],\n [2, -3, 1, -2],\n [-4, -3, -4, -2],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-960
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, -2, 3],\n [1, -2, 4, 4],\n [-1, 3, -4, -2],\n [4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6531
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, -2, -2],\n [-1, 2, -1, -3],\n [1, -1, 3, 4],\n [3, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2340
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, -1, -1],\n [-2, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
508
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 4, 4, 2],\n [1, 1, -2, -2],\n [4, -1, 3, 0],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 4, 0],\n [0, 0, 0, -2],\n [4, 0, -4, 2],\n [0, -2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
833
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, -4, 4, -3],\n [-3, -4, 0, -4],\n [-1, 3, 2, -2],\n [2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, 0],\n [-4, 3, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -1, 0, 2],\n [-1, -1, 3, 2],\n [0, 3, -4, 0],\n [2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, 3],\n [0, -2, 0, -2],\n [-4, 0, 0, -1],\n [3, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, -2],\n [-2, -2, -4, 0],\n [-2, -4, 4, 3],\n [-2, 0, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, -2],\n [2, 1, -2, -2],\n [2, -2, 2, -3],\n [-2, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1225
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, -1, 2, 2],\n [-1, 2, 2, -2],\n [2, 2, 4, 1],\n [2, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
849
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 2, 2, 0],\n [2, 4, 4, 0],\n [2, 4, 0, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, 1, 0, 4],\n [1, 4, -2, -2],\n [0, -2, 2, 0],\n [4, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 1],\n [-2, 2, 2, -4],\n [0, 2, -4, -2],\n [1, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -4, 4],\n [2, 2, 2, 0],\n [-4, 2, -1, -4],\n [4, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25045
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, -2],\n [-2, -1, 0, 0],\n [2, 0, -1, -2],\n [-2, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-125
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 0],\n [0, -2, 0, 0],\n [1, 0, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 3],\n [1, 1, 4, -4],\n [1, 4, 0, 4],\n [3, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5100
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
409
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, 1, 0, -1],\n [1, 4, 4, -3],\n [0, 4, 3, 2],\n [-1, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
119
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, 0, -3],\n [2, -3, -2, 0],\n [0, -2, 3, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, -2, -2, 2],\n [1, 1, 2, 0],\n [-3, 0, 4, 3],\n [0, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2, -1],\n [-2, 4, 1, 2],\n [2, 1, 0, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-3, 4, -4, -1],\n [-2, 0, -3, -3],\n [3, -2, -1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, 2, 1, -2],\n [0, 1, -2, -1],\n [2, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 2, -1],\n [2, 3, 4, 1],\n [2, 4, 3, 0],\n [-1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14103
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -2],\n [-2, 1, 0, 0],\n [0, 0, 4, 0],\n [-2, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -1, 1],\n [-3, 1, -1, 4],\n [-2, 1, -1, 0],\n [0, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
405
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 2, 1, 2],\n [-2, 1, 4, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
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