messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, -1, 2, 0],\n [-1, 2, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 3, -2],\n [1, 4, 4, -4],\n [2, 2, -2, -3],\n [-3, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3842
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -2, 1, -1],\n [-2, 3, -3, -3],\n [1, -3, 0, -2],\n [-1, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-79
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-4, -1, -3, 3],\n [3, -4, -4, 0],\n [-3, -3, 4, -3],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, -1, 2],\n [3, 2, 4, 1],\n [2, -4, 2, 4],\n [-4, -2, 2, -4]]\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 absolute values of all entries of the result:\nA =\n[[-2, 2, -1, 0],\n [2, 2, -1, 2],\n [-1, -1, 4, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2732
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 1, 0],\n [0, -1, -2, 1],\n [1, 4, 2, 3],\n [-2, -2, 2, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -2, 4],\n [0, -3, 3, 2],\n [-2, 4, 1, 3],\n [4, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, -4],\n [-2, 3, -2, 2],\n [0, -2, -2, 2],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2483
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -3, -4],\n [2, 4, 1, 0],\n [3, 1, 1, 0],\n [-3, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, 0, -2],\n [0, -2, -2, -4],\n [0, -2, -4, 2],\n [-2, -4, 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[[-4, 3, 4, 0],\n [3, -2, -1, 4],\n [4, -1, -4, 2],\n [0, 4, 2, -4]]?\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[[-3, 2, -3, -1],\n [0, 1, 4, -1],\n [-4, -3, 0, -2],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-760
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -4, 4],\n [1, 3, 1, 3],\n [2, -1, 0, 4],\n [3, 2, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -4, 3],\n [-1, -3, 3, 4],\n [-2, 0, 0, 4],\n [3, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2978
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, -3],\n [-3, -1, -1, 2],\n [4, 1, 2, 4],\n [-1, 4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7280
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[0, 1, 0, 1],\n [1, -4, 2, -1],\n [0, 2, -2, 0],\n [1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, 0, 2, 1],\n [0, -2, -2, -2],\n [2, -2, -3, 2],\n [1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 0, -2],\n [0, -3, -1, 2],\n [-1, 0, 0, 4],\n [-3, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4964
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, 2],\n [1, 3, 1, 0],\n [1, 1, 0, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5137
|
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, -4, 2],\n [2, -4, 4, -2],\n [-1, -2, 1, -3],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1613
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -4, 0],\n [-1, 1, 0, 0],\n [-4, 0, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-192
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 4, 0],\n [4, -2, -2, 4],\n [2, 3, 3, 1],\n [3, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
707
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, 0, 0, 2],\n [0, -3, 0, -1],\n [0, 0, 3, 2],\n [2, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 4, -1],\n [-4, 2, -1, -3],\n [-2, 4, 0, 2],\n [4, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4409
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 0, 0, 0],\n [0, -3, 2, 2],\n [0, 2, -3, -4],\n [0, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 0, 1],\n [-3, -1, -3, 4],\n [0, -3, 1, -2],\n [1, 4, -2, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 3, -1, 0],\n [2, 1, 0, -2],\n [-2, -3, 0, -4],\n [1, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
365
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, -1, 4, 1],\n [0, -1, -2, -2],\n [4, 1, -3, 3],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
134
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 0],\n [-2, 4, 0, -1],\n [0, 0, -2, -1],\n [0, -1, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -2, -2],\n [1, 1, 2, 1],\n [-2, 2, -3, 1],\n [-2, 1, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-273
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 2, 2],\n [-2, 4, 0, 3],\n [2, 0, -1, 4],\n [2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3083
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [0, 4, 1, -4],\n [-4, 2, -1, -2],\n [-1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1527
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, -2],\n [4, 4, -4, -4],\n [-4, 3, -1, 3],\n [-2, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23715
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 4, -1, 0],\n [0, -2, -1, 4],\n [-3, 0, 1, 0],\n [1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
119
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, -4, 2],\n [-4, 1, -2, 3],\n [0, -4, 4, -2],\n [-1, -3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1096
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, 0, 1, 0],\n [0, 1, -2, -2],\n [2, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
603
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0, 0],\n [2, 4, 0, -2],\n [0, 0, -3, -4],\n [0, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
812
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 4, -2, -2],\n [3, 0, 4, 0],\n [-4, -2, 3, 1],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, -4, 2, 0],\n [-4, 3, -3, -2],\n [2, -3, 1, 4],\n [0, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 0],\n [0, 2, 2, -2],\n [2, 2, -4, 4],\n [0, -2, 4, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
336
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -1, 0],\n [0, -2, 2, -2],\n [-1, 2, 1, 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"
}
] |
368
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-3, 0, 2, 0],\n [0, -4, -4, 1],\n [2, -4, 3, 0],\n [0, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 3, 2],\n [-2, 4, -1, 4],\n [3, -1, 0, 0],\n [2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7046
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -1, 2],\n [-1, 4, 0, 0],\n [-2, -2, 1, -4],\n [-4, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
422
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, -2, 1, 0],\n [-2, 3, 4, 0],\n [1, 4, -1, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, -3, -1],\n [-2, -1, 3, -3],\n [1, -2, -4, -3],\n [4, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3208
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[4, -4, 1, 4],\n [-4, -2, 1, -1],\n [1, 1, 1, 0],\n [4, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, -4, -2],\n [-2, 4, -1, -1],\n [0, -4, 0, -1],\n [-3, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 4],\n [-3, 3, 1, 4],\n [3, 0, 2, -3],\n [-4, 3, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, -2, 3],\n [-1, 2, 0, 4],\n [2, -4, -1, -3],\n [2, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -4, 4],\n [2, 2, -1, -3],\n [-2, 4, 1, 1],\n [-4, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
871
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, -2, 1, 1],\n [0, -4, -2, 2],\n [-1, -1, 2, 1],\n [-2, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[3, 1, 3, -3],\n [4, 0, -1, -4],\n [0, 4, 1, 1],\n [-1, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
692
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, 2, -4],\n [4, 0, 4, 0],\n [0, -3, 1, -2],\n [0, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-126
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, -2, 0],\n [1, 1, -2, 2],\n [-3, 1, 3, 3],\n [4, -4, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -3, -2],\n [1, -1, 2, -1],\n [-3, 2, -2, 0],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-288
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -3],\n [-4, 3, -4, 3],\n [-4, -1, 1, -1],\n [3, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
137
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -1, 1],\n [-4, -3, 4, -3],\n [0, -3, -2, -1],\n [1, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1977
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -4],\n [2, 0, -2, 2],\n [-2, -2, 3, 1],\n [-4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3262
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 3],\n [0, -2, 2, 1],\n [3, -4, 4, 0],\n [2, -2, -3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, -2, 3],\n [0, -1, -4, -4],\n [4, 4, -2, 1],\n [3, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1478
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -3, 3],\n [-1, 2, 1, -3],\n [-1, 4, -3, -2],\n [-1, 1, -4, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -4, 1, -2],\n [0, 1, 3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
950
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 0, -2],\n [-1, -3, -1, -1],\n [0, -1, -1, 0],\n [-2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -4],\n [-2, 3, 1, 0],\n [2, 1, -2, 2],\n [-4, 0, 2, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -2],\n [0, 1, 1, 0],\n [2, 1, -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"
}
] |
681
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, -3, 0, -1],\n [1, 0, 1, 2],\n [0, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
317
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 1, 0],\n [-4, 2, 2, -4],\n [3, -4, -1, -1],\n [-4, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2924
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 2, -2],\n [2, -2, 0, 2],\n [-2, -4, -4, -1],\n [-2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -3, -1],\n [-2, -2, 1, -4],\n [3, -4, 2, -4],\n [-4, 0, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1052
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -3, -2],\n [-3, -4, 1, -1],\n [-2, 3, 0, 3],\n [-3, 3, 1, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 0],\n [2, 2, -2, 1],\n [-2, -2, -3, 1],\n [0, 1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-235
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 2, 2, 3],\n [2, -2, 2, 2],\n [2, 2, -4, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, 2],\n [0, 2, -3, -3],\n [2, -3, 0, 2],\n [2, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
901
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, 0],\n [-4, -3, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1645
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -3, -2],\n [4, -2, 4, 2],\n [-1, -3, 1, -2],\n [2, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -3, -1],\n [-2, 2, -1, -4],\n [-1, 1, -4, -4],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3296
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 4, 0],\n [0, -2, -2, 0],\n [4, -2, -4, 4],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2198
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -4, 2],\n [3, 3, 4, 0],\n [-4, 4, -4, 3],\n [2, 0, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38358
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 4, 0],\n [-2, -4, -3, -2],\n [4, 4, -4, -2],\n [-1, 2, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
559
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [3, 2, -2, -4],\n [0, -3, 1, 2],\n [-1, 3, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, 1, 4, 0],\n [1, 1, 2, -3],\n [-4, 3, -3, 0],\n [3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, -3],\n [-3, -2, 3, 0],\n [4, 1, -1, -4],\n [1, -2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4555
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2, 1],\n [0, -2, -4, -2],\n [2, -4, 1, -2],\n [1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1135
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -2],\n [2, 4, 0, -3],\n [-2, 0, 4, -1],\n [-2, -3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8823
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, -2, 3, 0],\n [-2, -3, 4, 0],\n [3, 4, 3, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-242
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, 2, -3, 0],\n [0, -3, 0, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
748
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 2],\n [-1, -1, -1, 0],\n [2, -1, 2, -2],\n [2, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
676
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 1, 3],\n [-2, -4, -1, 2],\n [1, -1, -2, 2],\n [3, 2, 2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
91
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -3],\n [2, -4, 0, 0],\n [0, 0, 0, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1258
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, -4, -1, 3],\n [0, -1, -3, 0],\n [2, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
681
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, -3, 3],\n [4, -2, -2, -1],\n [-2, 3, 4, -4],\n [-1, 1, -3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-386
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 2, 1, 2],\n [2, 4, 0, 0],\n [1, 0, -3, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
746
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -2, -3],\n [4, -4, 3, -1],\n [4, 4, -4, 3],\n [1, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2463
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 2],\n [3, 1, 0, 2],\n [2, 0, -2, -1],\n [2, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1200
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, -1, -4],\n [-1, 1, 0, -4],\n [-2, -3, -1, -2],\n [-3, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2846
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, 4, 0, 0],\n [0, 0, -2, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1978
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 2],\n [2, -4, 4, 0],\n [-2, 4, 0, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[2, 2, 0, -3],\n [-3, -4, -4, -1],\n [2, 3, 4, -1],\n [2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
312
|
MATH
|
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