messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 2, 0],\n [2, 4, -1, 0],\n [2, -1, -2, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1308
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 4, -2],\n [-1, 4, 0, 0],\n [4, 0, -2, 0],\n [-2, 0, 0, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, 2, -2, 2],\n [2, -3, -2, -4],\n [-2, -2, 3, 2],\n [2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-330
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, -1, 1],\n [3, -3, 3, 4],\n [-3, 0, -4, -1],\n [-1, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1051
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -3, -3],\n [-1, 0, 4, -2],\n [-1, -3, 3, -4],\n [-4, -3, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5333
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 1, -1],\n [-4, -4, -4, 3],\n [1, -4, -2, 3],\n [4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6418
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 2, 2, 0],\n [2, 3, 2, 2],\n [2, 2, 1, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 4, 2],\n [1, 1, -1, 1],\n [4, -1, -2, 4],\n [2, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5457
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -3, 2, 2],\n [-3, 2, 1, -2],\n [2, 1, 1, -2],\n [2, -2, -2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-496
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 2],\n [2, 3, -1, 0],\n [0, -1, 0, -2],\n [2, 0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
619
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -2, -1],\n [-3, 4, 2, -2],\n [-2, 2, -4, 0],\n [-1, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10489
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 0, 2],\n [-1, -1, 0, 2],\n [0, 0, -4, 2],\n [2, 2, 2, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -2, 2],\n [-1, 4, -4, -4],\n [-4, 0, 1, 4],\n [3, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2306
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 0, 2],\n [4, -3, 2, -4],\n [0, -3, 0, 1],\n [0, -1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
534
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, -1, -2],\n [2, 3, -4, -1],\n [-4, 1, 0, 2],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 2],\n [4, 0, 3, 1],\n [4, -2, -3, 1],\n [1, -1, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
430
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -3, -4, 3],\n [-2, 3, -2, 2],\n [2, -3, -1, 2],\n [-3, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[4, 4, -4, 1],\n [4, -1, -2, 0],\n [-4, -2, 3, 1],\n [1, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 3, -1],\n [-3, 4, 4, -2],\n [-1, 2, 2, 4],\n [-1, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3962
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 2, 2],\n [4, 0, -2, -4],\n [3, -2, 3, -4],\n [-3, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4295
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0, -1],\n [-2, 2, 2, -4],\n [1, -4, 3, 0],\n [-1, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -1, 3],\n [3, -3, 0, 2],\n [-1, 0, -2, -2],\n [3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
856
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 3, -3],\n [-3, 2, -1, 4],\n [0, 2, -2, -4],\n [3, 4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, 1, 0],\n [0, -4, -2, 0],\n [1, -2, 0, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, -2],\n [0, -2, -2, 2],\n [-1, -2, 3, -3],\n [-2, 2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1134
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 3, 0],\n [-1, -3, 0, -3],\n [-1, 4, 2, 1],\n [-4, 2, -3, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, -4, -2],\n [-3, -3, -1, -4],\n [-3, -2, 1, 0],\n [2, 3, -3, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-182
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, 1, 2],\n [3, 4, -2, 4],\n [1, -2, -3, -2],\n [2, 4, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1720
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 3, 1],\n [-3, 1, 0, 2],\n [-3, -3, -4, -1],\n [-1, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-984
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -2, -1],\n [1, 4, 2, -2],\n [-3, 1, -4, -1],\n [1, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3, -2],\n [2, -2, 3, 3],\n [-3, -4, -4, 3],\n [3, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4084
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[4, -2, 0, 3],\n [-2, 4, 0, 3],\n [0, 0, 4, 2],\n [3, 3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
465
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 0, -4],\n [0, 3, -1, 0],\n [0, -1, 2, 0],\n [-4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1742
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, -3, -3],\n [-4, 1, 0, -4],\n [2, 1, 3, 0],\n [-3, 3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3824
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 3, -4],\n [-2, -2, 1, 0],\n [3, -3, -3, -1],\n [-1, 3, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -4, -2],\n [2, -1, 0, 0],\n [-4, 0, 2, 2],\n [-2, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-361
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 2, -2],\n [-4, 3, 0, 2],\n [2, 0, 3, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19243
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, -2, -3, -3],\n [-1, -3, -4, 1],\n [4, -4, -1, 4],\n [1, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, -4, -4],\n [-4, 1, -1, 4],\n [1, 4, -4, 4],\n [-3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
210
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 1, -1],\n [3, 0, 2, 1],\n [-1, 1, 4, -3],\n [-2, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4064
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -4, 3],\n [-3, 0, -2, -1],\n [0, -4, -3, 0],\n [-2, 2, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
822
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 4, 2],\n [2, -3, 2, -2],\n [4, 2, 4, -2],\n [2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1632
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 4, -1],\n [0, -1, 2, 1],\n [4, 2, 1, 3],\n [-1, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4136
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 3],\n [1, -1, 2, 4],\n [-2, 2, 1, 0],\n [3, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
272
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -2, -4],\n [-1, 4, -2, -1],\n [-2, -2, 0, -2],\n [-4, -1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1148
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, -3, -2],\n [4, -3, 3, 3],\n [-4, -1, -4, 2],\n [3, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19954
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, -3, 2, -4],\n [1, 0, -3, 3],\n [-1, 1, 2, 4],\n [4, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 1, -2],\n [4, -4, 0, 1],\n [1, 0, -1, 0],\n [-2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
814
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 3, 3],\n [2, 3, -2, 3],\n [3, -4, -2, -2],\n [3, 2, -1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-131
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, 4],\n [-4, -3, 0, 3],\n [-3, 0, -3, -1],\n [0, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3043
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, 1, 1, 1],\n [-4, -3, -2, -1],\n [-4, -3, -1, 0],\n [-3, 1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 3, 4],\n [0, 4, 0, -2],\n [3, 0, 0, 2],\n [4, -2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
539
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-4, -2, 0, 0],\n [-2, 0, -2, 2],\n [0, -2, 2, 4],\n [0, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, -1],\n [2, 2, 0, 0],\n [-2, 0, 1, 2],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
85
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 2, -3],\n [3, 1, -4, -2],\n [-1, 4, 1, -1],\n [-1, 4, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
735
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -1],\n [-4, 0, -3, 3],\n [2, 2, 4, -1],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, 2, -2, 1],\n [2, -2, -1, 2],\n [-2, 1, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 2, 0, -1],\n [2, -4, 4, -1],\n [4, 2, 2, 3],\n [4, 0, 0, -3]]\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 all entries of the result:\nA =\n[[-3, 3, 3, 3],\n [-3, 4, -3, 4],\n [4, -3, 3, 4],\n [-1, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4731
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, -2, 2, 2],\n [2, 2, -2, 3],\n [2, -3, -3, 1],\n [3, 3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 0, 0],\n [-1, -4, 0, 1],\n [0, 0, -4, 0],\n [0, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1289
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, 0],\n [0, 1, -2, 4],\n [2, -2, -4, 1],\n [0, 4, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-161
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 3, 2],\n [-4, 2, 2, 1],\n [0, 3, 2, -4],\n [-3, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
330
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, 4, 4, 2],\n [0, 4, 4, -2],\n [0, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1008
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 4, 0],\n [1, 1, 1, -1],\n [4, -4, 1, -1],\n [3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
618
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1, 2],\n [-1, 1, -1, 1],\n [-1, -1, 1, 0],\n [2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, 0],\n [2, -1, -2, -2],\n [2, -2, -1, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7923
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -4, 2, -2],\n [1, -3, 1, 4],\n [-3, -4, 4, 4],\n [3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -1],\n [-4, -2, -2, 3],\n [3, 0, 0, -2],\n [-3, -4, -1, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, 2],\n [0, 2, 2, 2],\n [-3, 1, -1, 4],\n [-1, 3, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
698
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 1, 2],\n [0, 4, 0, -2],\n [1, 0, -4, 2],\n [2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
779
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -4, 2],\n [0, -1, 3, 1],\n [3, -3, -4, 3],\n [-3, -2, 1, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-65
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -1, -3],\n [0, -1, 0, 2],\n [-1, 0, -3, -1],\n [-3, 2, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3132
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -4, 3, -2],\n [1, -2, 4, 4],\n [3, -1, 2, 4],\n [-3, -2, 1, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -2, -4],\n [-1, 3, 0, -2],\n [-2, 0, -4, 0],\n [-4, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6512
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -3],\n [-4, -3, 2, -2],\n [2, 2, -1, 1],\n [-3, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35337
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 4, 0],\n [-2, 3, 1, -2],\n [4, 1, -4, -4],\n [0, -2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5682
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, 3, 2, 0],\n [3, 2, 0, -2],\n [2, 0, 2, -4],\n [0, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-220
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 1, 3],\n [1, -4, -4, 0],\n [1, -4, -2, -3],\n [3, 0, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-696
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 4, 0, 2],\n [4, 4, -1, 2],\n [0, -1, 0, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, 0, 0],\n [-3, 3, -1, 2],\n [0, -1, 1, -1],\n [0, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2428
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 1, 4, 0],\n [2, 4, -1, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2387
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 3, 4],\n [4, -2, 1, 1],\n [1, 2, -2, 4],\n [1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -4, 4],\n [4, 3, 2, 1],\n [1, 4, -4, 1],\n [-3, -4, -4, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 4, -4],\n [-4, 1, -3, 4],\n [-1, 2, -4, -3],\n [2, 3, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9070
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 2, -1],\n [4, 1, 4, 3],\n [2, 4, -3, 1],\n [-1, 3, 1, 0]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
401
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [-1, 1, 0, -4],\n [1, -3, -4, 3],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-43
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -1, 2, 2],\n [3, -2, 0, -4],\n [-3, 2, -4, 2],\n [-3, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 4, -2],\n [-1, -3, 4, -3],\n [-1, 0, -2, 3],\n [3, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7055
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -1, 2],\n [-4, -1, 3, 4],\n [0, 4, -1, 0],\n [-4, -3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
695
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, -1, 0],\n [-1, 1, -1, -2],\n [-1, -1, -2, -1],\n [0, -2, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
523
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, -2, 0, 3],\n [4, -4, -4, 3],\n [-4, -1, 2, 1],\n [0, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, -2],\n [2, -1, 0, -4],\n [-2, 0, 2, 0],\n [-2, -4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3490
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, 3, 1],\n [0, 1, -4, 2],\n [3, -4, 0, 2],\n [1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -2, 0],\n [2, 0, -2, 2],\n [-2, -2, 2, -3],\n [0, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 1, 1],\n [1, -3, 1, 2],\n [4, -1, 2, -1],\n [-3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, -4, 3, -2],\n [3, 0, -3, -2],\n [0, 2, -3, 3],\n [-4, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-293
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, -1, -2],\n [3, -3, -1, -3],\n [3, 1, -2, 1],\n [1, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
519
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, 1, 1],\n [-2, -1, -1, -3],\n [1, 1, -1, 2],\n [-3, 3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2725
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 1, 1],\n [4, 4, -1, 4],\n [4, 4, 4, 4],\n [-3, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
547
|
MATH
|
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