messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, -1, -2],\n [3, 1, 2, -4],\n [-1, 1, 4, 2],\n [1, -3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, -2, -2, -1],\n [0, -2, 4, 0],\n [0, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
481
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, -1, 0],\n [-1, -2, -1, 1],\n [-1, -1, 0, 0],\n [0, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
414
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 2, -2],\n [4, 3, 1, -1],\n [-2, 3, -2, 1],\n [4, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
135
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 0],\n [2, 2, 3, -3],\n [0, 3, 2, 2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
364
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, 0, 0],\n [0, 2, 4, 4],\n [0, 4, -3, 2],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, -2],\n [0, -2, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 2, 0]], determine the value at position (1, 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^4 where A is:\n[[-4, 2, -4, -4],\n [4, -2, 3, 0],\n [-1, 4, 3, 0],\n [4, 3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1020
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 0],\n [1, 3, 0, -3],\n [-2, 0, -4, -1],\n [0, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3324
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 1, -2],\n [1, 0, 2, -2],\n [1, 2, -1, 1],\n [-2, -2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
807
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, -2],\n [0, -2, 2, 0],\n [0, 2, 0, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1489
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 0],\n [-2, 3, 0, 0],\n [-2, 0, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1443
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, 2, -4, -3],\n [-1, -2, -4, 3],\n [-3, 2, -1, -3],\n [-1, -1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
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 [4, 1, -3, 0],\n [-3, -3, -4, -3],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2203
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 4, 1],\n [-2, 2, 4, -1],\n [4, 4, -3, 0],\n [1, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10949
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -3, -2],\n [-2, -2, 0, 2],\n [-3, 0, 2, 1],\n [-2, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6804
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -2, 0],\n [2, -1, -2, 3],\n [-4, 2, -1, 0],\n [-4, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1698
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, 0],\n [0, -1, 0, 2],\n [0, 0, -2, -1],\n [0, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -3, 3],\n [0, -1, 0, 3],\n [3, 2, -1, -1],\n [2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, -2, -3, -3],\n [2, -4, -4, -2],\n [3, -1, -3, 2],\n [-2, 3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
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, 3, -3],\n [4, -1, -4, 0],\n [1, 3, 1, 4],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
904
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 4, 0],\n [1, -4, 0, 2],\n [4, 0, 0, 2],\n [0, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4534
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, -2, -2, 3],\n [-3, -3, 3, 1],\n [-1, -1, 2, -2],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 4, 3],\n [-4, -3, 3, 4],\n [4, -4, -2, 0],\n [-2, 3, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2200
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 2, 0],\n [1, 0, -4, 2],\n [-3, 3, -1, 0],\n [-4, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -1, 0, -1],\n [-4, 0, 1, 3],\n [2, -4, -3, 4],\n [3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2184
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, -3, 2, 3],\n [-3, -1, 2, 2],\n [2, 2, -3, 0],\n [3, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [4, 1, 0, 2],\n [0, 2, -4, 0],\n [-4, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
674
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 2, 2],\n [3, 0, -2, 2],\n [2, -2, 3, 2],\n [2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2739
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -4, 3],\n [1, -1, -2, 0],\n [-4, -2, -3, -2],\n [3, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-501
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [-1, -1, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
115
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -3, 3],\n [2, -3, 4, 0],\n [0, 0, 0, 2],\n [-1, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -1, 3],\n [-1, -3, 2, -1],\n [-4, 2, 0, 1],\n [-4, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-154
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0, 2],\n [0, -1, 2, 0],\n [0, 2, 0, -3],\n [2, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -4],\n [-2, 3, -3, -3],\n [-2, 1, 2, 4],\n [4, 0, 0, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 1, -1],\n [-4, 3, 1, 0],\n [-3, -4, -1, -3],\n [2, 0, -4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, -3, -1, 0],\n [-3, 2, 3, -4],\n [-1, 3, -1, 4],\n [0, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-448
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, -3, 1],\n [-4, 4, -3, 2],\n [-3, -3, 4, -1],\n [1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
213
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 2],\n [0, -1, 0, 0],\n [0, 0, 2, 2],\n [2, 0, 2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 2, 3],\n [-2, -2, 1, -2],\n [-4, -1, 4, -2],\n [3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, -1, -2, -4],\n [-1, -2, 2, -4],\n [-2, 2, -2, -4],\n [-4, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
997
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 0],\n [3, -2, -3, -4],\n [-3, -1, 3, -2],\n [-2, -3, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2073
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, -3],\n [3, 0, -3, -3],\n [-4, -3, -4, 4],\n [4, 3, -2, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1105
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -3, 3, 0],\n [-2, -3, -3, 1],\n [-2, 2, -4, 4],\n [-1, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-105
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 3, 2],\n [0, -3, 2, 0],\n [3, 2, 1, 3],\n [2, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
776
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, -3, -2],\n [4, -1, -1, -4],\n [-2, -2, -2, 0],\n [2, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2867
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, 3],\n [3, 4, -1, 1],\n [2, -2, -1, -1],\n [1, -4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-514
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -4, -4],\n [-1, 3, 2, 2],\n [1, 2, -1, -1],\n [4, -2, -3, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-292
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -2, 0],\n [-2, 0, -2, 2],\n [-2, -2, -2, 4],\n [0, 2, 4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
752
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 0, -2],\n [1, 0, 0, 0],\n [0, 0, -3, -1],\n [-2, 0, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, -3, 2],\n [2, -2, 3, 2],\n [-3, 3, -2, -2],\n [2, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 0, -2, -4],\n [-4, 2, 4, -2],\n [-4, -2, -2, 3],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
673
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 0, 0],\n [-2, -3, 1, -2],\n [0, 1, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -3, -4],\n [3, -1, 2, -3],\n [-4, -1, -4, 1],\n [0, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-861
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 2, -2, 2],\n [2, -2, -4, -1],\n [-2, -4, -2, 1],\n [2, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
342
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, -1, 4, 1],\n [0, 2, 3, 4],\n [-2, 1, -4, 2],\n [0, -2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 0, -3, -3],\n [3, 4, 3, -3],\n [0, 3, 0, 1],\n [-4, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, -2, 0],\n [-2, 4, 0, -2],\n [-2, 0, -4, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5173
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, -2],\n [1, 1, 1, 2],\n [-3, -1, 2, -1],\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"
}
] |
584
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -2, -3, 4],\n [-1, 2, 4, -1],\n [-2, 2, 1, -1],\n [2, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [0, 3, -2, -1],\n [2, -2, -2, 0],\n [0, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1953
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 2, 1],\n [2, 3, 0, 2],\n [2, 0, 2, 2],\n [1, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6209
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, -3, 4, -4],\n [0, 4, -1, -3],\n [-2, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-360
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 0, 0, 0],\n [0, -3, 1, 1],\n [0, 1, 4, 2],\n [0, 1, 2, 3]]\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 3th power of the matrix:\n[[0, -2, 1, 1],\n [-2, 0, 1, 0],\n [1, 1, -4, 2],\n [1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
524
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, 1],\n [2, 4, -3, -3],\n [-2, -1, -3, 0],\n [3, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 3],\n [4, 4, 4, -1],\n [-2, 2, 2, 4],\n [0, -1, 1, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 1],\n [0, 1, -1, -3],\n [-1, -1, -3, 0],\n [1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1529
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, 4, -3],\n [-1, -2, -2, 2],\n [-2, -1, -4, 1],\n [4, -4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
225
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 2, 1],\n [1, 0, 1, 1],\n [2, 1, -2, 1],\n [1, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
321
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -4, -1, -4],\n [-2, 2, 3, 0],\n [-3, -4, 1, 4],\n [3, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 2],\n [0, -3, 0, 0],\n [0, 0, -1, 2],\n [2, 0, 2, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
305
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 2, 1],\n [2, 2, 0, 1],\n [2, 1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, -1, -3],\n [4, 2, -2, -2],\n [-1, -2, 0, 0],\n [-3, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
601
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, -4, 0, 4],\n [-4, 2, -3, -2],\n [0, -3, 2, 2],\n [4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2464
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -3, 1],\n [-3, 4, 2, 2],\n [4, -1, -4, 4],\n [-4, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8311
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 3, 2],\n [-4, 1, -1, 3],\n [0, 4, 4, 0],\n [-2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-478
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 1, 0, 0],\n [1, 4, -2, 0],\n [0, -2, -4, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
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, 1, 1],\n [2, 3, 2, 1],\n [2, 0, 3, -3],\n [-1, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
580
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, 1, -2],\n [0, -4, 1, 0],\n [1, 1, 1, -2],\n [-2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, 0, 2],\n [1, 0, -2, -2],\n [0, -2, -4, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
539
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 3, 0],\n [-2, -3, 2, 0],\n [3, 2, 2, 1],\n [0, 0, 1, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, -3, 1, 1],\n [4, 0, 2, 1],\n [-3, -1, 3, 0],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 0],\n [0, 0, 3, 0],\n [0, 3, -3, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [-2, 4, 0, 0],\n [0, 0, -1, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, -2, -2],\n [-1, 0, 0, -4],\n [-2, 0, -2, 1],\n [-2, -4, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
816
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -4, -2, 1],\n [-2, -2, -1, 1],\n [-1, -4, 3, -1],\n [-2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1355
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, 3, 1],\n [3, 0, 4, 1],\n [3, 0, 4, -2],\n [4, -4, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2335
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, 3, 4, 0],\n [2, 4, 2, 1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
481
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 2, 2],\n [1, -4, 2, 2],\n [2, 2, -4, 4],\n [2, 2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1589
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 2, 0],\n [4, -1, 3, -2],\n [2, 3, -4, 1],\n [0, -2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, -2],\n [2, 2, -4, 2],\n [2, -4, 0, -3],\n [-2, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, -1, 3, -2],\n [2, 3, -1, 2],\n [-2, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-252
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -2],\n [3, -4, 4, 2],\n [3, 4, -4, -1],\n [-2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2070
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -4],\n [-2, -2, -1, 0],\n [0, -1, 3, 0],\n [-4, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
696
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, -4],\n [0, -1, -1, 0],\n [3, -4, -4, 0],\n [3, -3, 0, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -3],\n [0, 4, -3, 4],\n [3, -4, 4, 1],\n [4, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2544
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -4, -3, -4],\n [-2, 0, -3, 3],\n [-4, 0, 3, 1],\n [-1, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
715
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 4, 0, 1],\n [-4, -4, -3, 4],\n [-3, 3, -3, 3],\n [3, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 2],\n [3, -1, 1, 2],\n [-1, -1, -4, 1],\n [-3, 3, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
147
|
MATH
|
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