messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, -2],\n [0, 4, 0, 2],\n [1, 0, -1, -3],\n [-2, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-4, 0, 2, 2],\n [0, 3, 1, 0],\n [2, 1, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, 3, -3],\n [3, -2, -2, 0],\n [-2, 2, 3, 0],\n [-2, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, 4, 1],\n [-2, 2, 2, -4],\n [4, 2, 1, 0],\n [1, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 3, -4],\n [2, 2, 2, 3],\n [3, -1, -1, 1],\n [-4, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 4, -4],\n [-3, -4, -3, -1],\n [3, -2, -2, 2],\n [-3, 4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1752
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 2, -1, 1],\n [2, -2, 0, -1],\n [-1, 0, -2, 0],\n [1, -1, 0, 1]]?\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 all entries of the result:\nA =\n[[1, 2, 0, 3],\n [3, -3, -4, 2],\n [-4, 0, -1, 2],\n [1, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, -2],\n [-3, 4, -2, -1],\n [4, -2, -4, 2],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3430
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, -2, 2, -3],\n [-2, 4, -2, -1],\n [2, -2, -4, -2],\n [-3, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
279
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, -4],\n [4, -1, -3, -3],\n [-2, 3, 4, 1],\n [3, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1950
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 0, 0],\n [1, -4, 0, 0],\n [0, 0, 1, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-27
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 2, -1],\n [4, -2, 0, 3],\n [0, -1, -3, 2],\n [2, -1, 4, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -1, 3],\n [0, 3, 0, 2],\n [1, 0, 1, -4],\n [0, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
423
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 2, -2],\n [-2, -2, 1, 3],\n [2, 1, 3, -2],\n [-2, 3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
949
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, 2],\n [-3, 3, -2, 0],\n [4, -2, 2, 3],\n [2, 0, 3, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-800
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 0],\n [0, 2, 1, -1],\n [0, 1, -2, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-97
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 3, 0],\n [0, -4, -2, 1],\n [-3, -1, -3, -3],\n [0, 1, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5601
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0, 0],\n [2, 1, -3, 0],\n [0, -3, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 0, 2],\n [-1, 3, 1, 0],\n [0, 1, 1, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5951
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -3, -4],\n [0, 4, -1, 0],\n [4, 0, 3, -2],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
750
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 3, -3],\n [0, 4, 1, 2],\n [3, 1, 0, -2],\n [-3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1153
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -2],\n [-2, 0, -4, 0],\n [2, -4, 1, 2],\n [-2, 0, 2, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
644
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1287
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -2],\n [0, -1, 0, 0],\n [4, 3, 4, 3],\n [4, 4, 0, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-104
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[1, -1, -2, -3],\n [-1, 0, 1, -2],\n [3, -4, 3, -3],\n [-3, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 2, 0],\n [4, -3, 2, -3],\n [2, 2, -4, 1],\n [0, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1794
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -1],\n [-1, 2, 3, 2],\n [4, -2, 4, -2],\n [1, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2028
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 2, 0, -4],\n [0, 0, 2, 2],\n [0, -4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
483
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 2, 2],\n [-2, -2, 0, 2],\n [2, 0, 0, 3],\n [2, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
253
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 2, 0],\n [-3, 2, -2, -2],\n [-3, 0, -3, 0],\n [-3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
123
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 0],\n [2, -1, 4, 0],\n [1, 4, -1, 4],\n [0, 0, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5550
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, -2, -2],\n [3, -4, 0, 2],\n [-2, 0, 2, -2],\n [-2, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1435
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 0, 0],\n [3, 1, 2, -2],\n [4, -3, -1, 1],\n [-2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, 2, -4, -1],\n [1, -2, 4, 2],\n [-1, 0, -3, 1],\n [-4, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 3, -2],\n [0, -1, 1, -3],\n [3, 1, 3, -2],\n [-2, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1856
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 2, 2],\n [2, 4, 2, -4],\n [2, 2, 0, 2],\n [2, -4, 2, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -4, 4, -1],\n [4, 3, -1, -3],\n [1, -1, 4, -2],\n [4, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -2],\n [2, 1, 0, 1],\n [0, 0, -1, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
822
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 1, 3],\n [-1, -2, -3, -3],\n [0, 0, 1, 4],\n [4, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, -1],\n [0, -4, -4, 3],\n [-1, 1, 1, 2],\n [2, 3, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, 3, 1],\n [-3, 1, 1, -1],\n [0, 4, -2, 0],\n [-2, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, -2, -4],\n [3, 3, 3, 1],\n [-2, -2, -3, 1],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-256
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, -3],\n [-3, -4, 1, 4],\n [-2, 3, 0, 2],\n [4, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4762
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 1, 2, 2],\n [1, 0, -1, 2],\n [2, -1, -2, 0],\n [2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
182
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, -2, 0],\n [-4, 0, 0, 0],\n [-2, 0, 3, 2],\n [0, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1, 2],\n [0, -2, -1, 0],\n [1, -1, 1, -3],\n [2, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
320
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 4, 1],\n [0, 2, -1, -3],\n [-1, 3, -1, 3],\n [-4, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-278
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -4, 0],\n [-2, 1, 4, 0],\n [-4, 4, 4, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-232
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0, -1],\n [-1, -4, 2, 4],\n [0, 2, 1, 0],\n [-1, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11432
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -4, 0],\n [2, -2, 0, 1],\n [-4, 0, -1, 2],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
753
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 1],\n [0, -3, 2, -2],\n [-1, 2, 0, 1],\n [1, -2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
532
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 0],\n [-1, -3, 2, 0],\n [2, 2, 3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2149
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -2, -1, -1],\n [0, -1, -4, 2],\n [2, -1, 2, 0]], determine the value at position (1, 2).\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[[1, -4, 4, -1],\n [-1, -3, 3, 1],\n [-2, 3, 4, 0],\n [-2, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1049
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 4, 3, 0],\n [0, 0, 3, -2],\n [-3, -4, 0, -2],\n [3, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -1, 1],\n [-2, 0, -2, 0],\n [-1, -2, 2, -1],\n [1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 0, -1],\n [3, -4, -1, 1],\n [2, 1, -1, 1],\n [-2, 3, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2, 0],\n [2, 0, 3, -1],\n [-2, 3, -2, -4],\n [0, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-202
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -2, 1],\n [-1, -4, -1, 0],\n [4, -3, 0, -4],\n [0, 0, -4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
645
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 3],\n [-2, 4, 0, -2],\n [0, 0, 4, 4],\n [3, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2328
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -3, -1, -1],\n [-3, -3, 0, -4],\n [-1, 0, 1, 2],\n [-1, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 2, 4, 0],\n [2, -4, -2, -2],\n [4, -2, 2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -1],\n [1, 2, -2, 0],\n [2, 2, -1, -1],\n [2, -1, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3, 2],\n [2, 1, 2, -2],\n [3, 2, 1, -4],\n [2, -2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 1, 1],\n [-1, -2, -2, -3],\n [3, -2, 3, 3],\n [4, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
475
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, 2, 2, 2],\n [2, 2, 0, 0],\n [0, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1698
|
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, 4, 2],\n [2, 0, 2, 1],\n [4, 2, 4, 3],\n [2, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1919
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, 0, -3, -2],\n [1, 1, -3, -3],\n [-3, -1, 1, -3],\n [4, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 4, -2],\n [0, 3, -2, -3],\n [4, -2, 1, 0],\n [-2, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
574
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [-4, -3, 2, -3],\n [4, 0, 0, -2],\n [-2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
450
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 3, -2, 2],\n [3, 4, 0, -1],\n [-2, 0, 1, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-3, 0, 0, 1],\n [0, -1, -4, -1],\n [0, -4, -1, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, -1],\n [2, 4, 0, 2],\n [-2, 0, 4, 4],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1286
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 3, -2],\n [-1, 0, -3, -3],\n [-4, 4, 0, 3],\n [-2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
703
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 3, -4, 1],\n [-2, 1, 1, 1],\n [1, 1, -2, 0],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[2, 0, 0, -3],\n [0, 2, -2, 4],\n [0, -2, 1, -1],\n [-3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
309
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 3, 0],\n [2, 1, 2, 2],\n [3, 2, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
987
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, -1],\n [-2, 2, 0, -2],\n [0, 0, 2, -1],\n [-1, -2, -1, 1]], determine the value at position (2, 2).\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[[-1, 1, -4, 4],\n [-4, -2, 4, 4],\n [3, 2, 0, -4],\n [-3, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
250
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, -1, -4],\n [-1, 0, 4, 2],\n [1, 2, 4, 0],\n [-2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1067
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, -4, -2, 1],\n [0, -2, 0, -3],\n [0, 1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
258
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -3, 3],\n [-3, -2, 0, -1],\n [0, 4, 4, -1],\n [2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -4, -1, -1],\n [1, -1, -4, -3],\n [3, 4, -3, 3],\n [2, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1494
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, 0, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, -2, -3],\n [-4, 1, -3, 0],\n [-4, -4, 0, -1],\n [-1, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13420
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 4, 1, -2],\n [4, 1, -4, -3],\n [0, -3, 4, 4],\n [1, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
772
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -2],\n [4, -3, 3, -2],\n [0, 3, 1, 1],\n [-2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
586
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 2, -2],\n [0, 3, 2, 0],\n [2, 2, -2, -2],\n [-2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 0],\n [1, 1, -3, 1],\n [0, 2, -4, -1],\n [4, -3, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2139
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -2, 0],\n [-1, -4, 1, 3],\n [-2, 1, -2, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1807
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -3],\n [-2, -2, 1, -4],\n [-2, -3, 0, -3],\n [-3, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6267
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -1, -3],\n [1, 2, -4, 2],\n [-1, -4, 0, -2],\n [-3, 2, -2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-77
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -2, -1],\n [4, -4, 2, -3],\n [-2, 2, 0, -3],\n [-1, -3, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1089
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
542
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 3],\n [1, 2, 3, 3],\n [-3, -3, 0, 1],\n [1, -1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-256
|
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, 0, 3],\n [2, -2, -4, 0],\n [1, -3, -2, 1],\n [4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1334
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, 3, -3, 2],\n [-2, 2, 4, -2],\n [0, 4, -2, 0],\n [4, -4, 0, -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 3th power of the matrix:\n[[-4, -4, 3, 2],\n [-4, -3, 3, -1],\n [-1, -1, 2, 4],\n [-4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1276
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -4, -4],\n [1, -4, 1, 1],\n [3, -3, 0, -1],\n [-3, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6380
|
MATH
|
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