messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 2, 0],\n [0, 1, 0, 1],\n [2, 0, 3, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
678
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[3, 4, -2, 1],\n [1, 0, -3, 0],\n [-3, 4, -3, -2],\n [-4, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 2],\n [-2, -3, -1, 4],\n [-3, -3, -2, 3],\n [-2, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
565
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 3, 3, -2],\n [1, -1, 2, -2],\n [-4, 0, 0, -3],\n [3, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, -1, 3],\n [3, 0, -1, 2],\n [0, 0, 3, -4],\n [3, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
531
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, -2, 4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, -2, -3, 3],\n [-4, 0, -4, -2],\n [-2, -3, -4, -2],\n [0, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
643
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -2, -4, 0],\n [-2, -1, 0, 2],\n [-4, 0, 4, -1],\n [0, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
316
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -2, -3],\n [2, 3, -2, 2],\n [4, 3, 0, -3],\n [4, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1686
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, 1, 0, 1],\n [4, -2, -2, -2],\n [-2, -2, -4, -3],\n [-4, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-133
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 3, -3],\n [0, 0, 2, 0],\n [3, 2, 1, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1653
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -1, 2],\n [2, 4, 2, 3],\n [1, -1, -3, -3],\n [-2, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1526
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 4],\n [-2, -1, 4, 4],\n [0, -1, 0, -1],\n [-3, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-310
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -4, -3],\n [-2, 3, 2, 1],\n [-4, 2, -4, -2],\n [-3, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2011
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 2, -2, -1],\n [2, 2, -1, -2],\n [-2, -1, 3, -2],\n [-1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, -4, -1, 2],\n [0, -1, 0, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, -3],\n [0, 4, 4, -4],\n [-3, 2, -4, -3],\n [-3, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1478
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, -2, 2],\n [-4, -3, -2, -3],\n [3, -2, 1, -1],\n [-3, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 4, 2],\n [0, -2, 0, 0],\n [4, 0, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4757
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 3, 1, 0],\n [3, 1, -3, 2],\n [1, -3, 0, -1],\n [0, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 1],\n [2, 4, 1, -1],\n [0, 1, 0, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
327
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 4, -1, 2],\n [4, -2, 4, 2],\n [1, -3, -4, 2],\n [-2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 0, 0, 1],\n [0, 3, 2, -1],\n [0, 2, 1, -2],\n [1, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, -1],\n [4, 3, -2, -4],\n [-2, -2, 3, -3],\n [-4, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 3, 0],\n [2, -1, 2, -2],\n [3, 2, 2, 2],\n [0, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9659
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -1, 0],\n [2, 2, 0, 0],\n [-1, 0, 4, -2],\n [0, 0, -2, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 4, -4],\n [-3, 1, -2, -3],\n [-4, 0, -3, 2],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, 0, -1],\n [2, -2, 1, 2],\n [0, 1, 4, -2],\n [-1, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -4],\n [-3, -4, 3, 4],\n [2, 4, 0, 2],\n [4, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1100
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-4, -1, -4, 3],\n [3, -3, -3, 1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
334
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, -1, 0],\n [-3, 1, 0, -3],\n [-1, 0, -4, -1],\n [0, -3, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5398
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3, 0],\n [-2, 0, 0, 0],\n [3, 0, 1, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
346
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -4, -4],\n [4, 3, 3, 1],\n [2, 3, 4, 1],\n [3, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3101
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, 0, -3],\n [1, 2, -2, 1],\n [4, -4, 0, -1],\n [1, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 1, 0],\n [4, 4, 3, -4],\n [2, 1, -2, 1],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7973
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 3],\n [0, -3, -2, 0],\n [0, -2, 0, -2],\n [3, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2242
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 1, 2],\n [-2, -2, -1, 0],\n [1, -1, -4, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1437
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 2, 1, 2],\n [2, 4, 0, 0],\n [1, 0, -1, 1],\n [2, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -2, 2, 2],\n [-2, 3, -2, -1],\n [2, -2, 3, 2],\n [2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 1],\n [2, -3, -4, -2],\n [4, 0, -3, -4],\n [-2, 2, 4, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-130
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, 3, 0, 2],\n [3, 4, 0, 0],\n [0, 0, 4, 2],\n [2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, -2, 4],\n [0, 3, 0, 2],\n [-2, 0, 2, -2],\n [4, 2, -2, 1]]\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 absolute values of all entries of the result:\nA =\n[[-1, 0, 1, 4],\n [0, 3, 1, 2],\n [1, 1, -1, 0],\n [4, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3116
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -3, -1],\n [-2, -2, 1, 0],\n [-1, -4, 1, 4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
596
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 2, -3],\n [2, -2, 0, -3],\n [2, 0, -3, -2],\n [-3, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1268
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, -1, -2],\n [-2, 3, 0, -2],\n [-1, 2, 2, 0],\n [-4, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1108
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [0, -2, -4, -3],\n [-2, -4, -4, 4],\n [-2, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1035
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -4, -2],\n [3, -4, -1, 3],\n [2, 2, -4, 2],\n [1, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3674
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -2, 2, 4],\n [-2, -1, 1, 0],\n [2, 1, 3, -4],\n [4, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 1, -1],\n [4, -3, 3, 1],\n [-1, 3, -1, 2],\n [4, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 2],\n [1, 2, 0, 4],\n [0, 0, 2, 1],\n [2, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
544
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, 2],\n [-1, -1, 0, -2],\n [0, 0, -3, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
383
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 1, -3],\n [0, 3, 4, 1],\n [1, -1, 0, 3],\n [-1, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2297
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, 1, -3, -3],\n [3, 0, -3, -4],\n [-4, 0, 2, 1],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-132
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, -2, 0, 2],\n [2, 0, 4, 0],\n [0, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2336
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 0, -2],\n [-4, -1, 0, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-387
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 3, -2],\n [1, -1, -2, 2],\n [-2, 3, -1, -3],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
542
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -1, 4],\n [3, 3, 1, -2],\n [2, 3, -4, 0],\n [4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1030
|
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, 0, 2],\n [0, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
163
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [-1, -2, 2, 2],\n [-4, 4, 3, 0],\n [-3, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, 0, 2, 0],\n [0, 3, 2, 2],\n [2, 2, 1, -2],\n [0, 2, -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, 0, -2, 2],\n [4, -1, 4, -3],\n [4, 2, 0, -4],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, -1, 2, -2],\n [-1, -4, 0, 4],\n [2, 0, -2, 2],\n [-2, 4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -1, 2],\n [2, -2, 1, 4],\n [-2, 0, 3, 0],\n [3, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
323
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, 1, 2],\n [0, 0, 2, -2],\n [1, 2, -1, 3],\n [2, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, -1, 2, -3],\n [2, 2, -4, 2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, -4, 1],\n [4, 3, 1, 3],\n [-2, 0, 2, -4],\n [4, 0, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1594
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -1, 2, -4],\n [-1, -4, -1, -2],\n [2, -1, 2, -1],\n [-4, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-197
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 4, -2],\n [0, -1, 1, 2],\n [-4, 3, -1, -4],\n [1, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
749
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 0, -4],\n [-3, -1, 3, 3],\n [2, 2, -1, 3],\n [0, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-527
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, -2, 3],\n [1, 3, -2, 0],\n [-2, -2, 4, 2],\n [3, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7950
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -1, 2, 1],\n [-1, -3, -4, -3],\n [-1, -3, 0, -3],\n [1, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -3, -2],\n [2, -4, -2, -2],\n [-3, -2, -1, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4968
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 4, 4],\n [4, -2, 0, -3],\n [4, -2, 0, -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"
}
] |
184
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 4, -1, -3],\n [3, -1, 4, 0],\n [-3, -1, -4, -4],\n [-4, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-283
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 1, 2],\n [0, -3, -3, 2],\n [1, -3, 4, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [-3, 1, -3, 4],\n [3, 2, -2, -3],\n [1, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8654
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, -2],\n [3, -3, 0, 0],\n [2, 0, 4, -2],\n [-2, 0, -2, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, 4, 0, 2],\n [-2, 0, 3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
981
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 0, -4],\n [-1, 1, 2, 4],\n [-1, 0, -3, 3],\n [-1, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 3, 0],\n [2, -1, 2, 0],\n [3, 2, 0, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
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, 2, 0],\n [0, 2, 2, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1686
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-2, 2, 0, 4],\n [2, 2, -4, 0],\n [0, -4, 2, 1],\n [4, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
736
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 2, 4],\n [1, -2, 0, 0],\n [-2, -2, 3, 0],\n [4, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
972
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, -4, -3],\n [3, 4, 2, 1],\n [0, -1, -2, 2],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-472
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-1, 4, 2, 2],\n [0, 2, -3, -4],\n [-1, -3, -4, -3],\n [-1, -3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -4, 0, -1],\n [0, 0, 3, 3],\n [0, -1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -4],\n [3, 1, -4, -2],\n [-2, 0, 0, 4],\n [1, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-282
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -3, -4],\n [-2, 3, -4, 3],\n [-1, 3, 1, 0],\n [0, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
826
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -4, 1],\n [-2, 1, 1, 1],\n [4, 0, -2, 0],\n [-4, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0, -3],\n [-2, -3, 3, -2],\n [0, 3, 4, -4],\n [-3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1928
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, -3],\n [-3, 4, -3, -3],\n [2, 3, -3, -3],\n [1, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4814
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 4],\n [2, -4, -2, -2],\n [0, -2, 3, 0],\n [4, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1547
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 0],\n [-2, 3, 2, -2],\n [-1, 2, 2, 0],\n [0, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -2],\n [2, -1, 1, 0],\n [0, 1, -2, 0],\n [-2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, -1, 0],\n [0, -1, -1, 1],\n [-3, 2, -3, 0],\n [-1, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
526
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -2],\n [-2, 3, -1, -2],\n [0, -1, 2, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
194
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -3, -1, -1],\n [-2, -4, 0, 4],\n [2, 4, -4, 4],\n [3, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-862
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, -2, 2, -2],\n [0, 2, 0, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, -4, -2],\n [2, -1, 0, 0],\n [-4, 0, -4, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1077
|
MATH
|
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