messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 2, 1],\n [0, 0, -1, 0],\n [2, 4, -2, 4],\n [4, 3, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2434
|
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, -2, 0, 4],\n [-1, 0, 4, 0],\n [0, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, -4, 2],\n [2, 1, -3, 0],\n [-4, -3, 1, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -3, 2, 3],\n [0, -2, 2, 0],\n [4, -3, 3, -2],\n [4, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4046
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, -2, -1],\n [1, 2, -2, 3],\n [-1, 1, 3, 2],\n [-3, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2850
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -4],\n [4, 4, 3, 1],\n [-4, -2, 2, 0],\n [-4, -4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, -2],\n [-1, 0, 4, -1],\n [-4, 0, 4, -4],\n [-2, 4, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6192
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, 2, 1, 3],\n [1, 0, -3, -2],\n [0, 1, 4, 2],\n [-2, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, 0, -1],\n [3, 2, 4, 4],\n [4, 2, -3, 1],\n [4, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
821
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 0, 2, -1],\n [0, -3, 3, 2],\n [2, 3, 3, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
129
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -1, 3],\n [-4, -2, 1, 1],\n [2, -2, -3, -3],\n [-2, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7232
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 0],\n [2, 3, 2, 2],\n [0, 2, 3, -2],\n [0, 2, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
850
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, 1, -2, 0],\n [-2, -2, 0, -3],\n [0, 0, -3, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -2, -3],\n [-2, 3, -2, -1],\n [4, 0, -4, -3],\n [1, -3, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 2, 2],\n [-4, -3, 1, -1],\n [-2, -3, -3, 3],\n [-3, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
872
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, 3, -4, -1],\n [-2, -4, -4, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8037
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -4, 0],\n [-4, 1, 3, 2],\n [0, -1, -1, -3],\n [-2, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2595
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, 0],\n [0, -1, -2, 3],\n [-1, -2, 2, -2],\n [0, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-474
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 0, -4],\n [4, -2, 0, 0],\n [0, 0, 3, -1],\n [-4, 0, -1, 4]]?\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[[-2, 4, -4, -1],\n [2, -2, -2, -3],\n [2, -2, 3, 4],\n [3, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-894
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 1, -2, 0],\n [1, 4, 0, -2],\n [-2, 0, 0, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 4, -4, -4],\n [1, -2, 3, 0],\n [-4, 3, -2, 4],\n [3, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9540
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -4],\n [-1, 4, -2, 1],\n [-2, -2, 4, 0],\n [-4, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5332
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 3, 4],\n [-4, 0, 1, -1],\n [-2, -4, 2, 1],\n [-2, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
832
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 4],\n [2, -2, 0, -2],\n [-3, -1, -2, -2],\n [-1, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1120
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 0, -2],\n [2, 4, 3, -1],\n [0, 3, 3, 0],\n [-2, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4857
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, -4, 0, -1],\n [-3, 1, -3, -1],\n [-2, -4, 2, -2],\n [-3, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, -2],\n [4, 2, 1, 2],\n [0, 1, 3, 2],\n [-2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7949
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 2, 4, 0],\n [3, 4, -4, -2],\n [4, 1, -2, -4],\n [4, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 1, -2],\n [1, -2, 0, 1],\n [-3, -4, -2, -4],\n [3, 2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
317
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, -4, -1],\n [-3, -3, -1, -2],\n [1, 0, -2, 0],\n [1, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2418
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -4, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-92
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, -3],\n [-2, 4, -2, 2],\n [1, 1, 1, 1],\n [-3, 3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
94
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, 2],\n [0, -2, -2, 2],\n [-1, -2, 4, 2],\n [2, 2, 2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, 3, 2],\n [4, 3, -3, 0],\n [-2, 1, -2, -3],\n [3, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8172
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -4, -3],\n [-3, 4, -3, 1],\n [-3, 1, 4, 4],\n [3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
855
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, 2, 4],\n [1, -1, 4, -4],\n [1, 4, 0, -3],\n [3, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1152
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 1, -4],\n [0, -3, 4, 2],\n [-3, -2, 1, -2],\n [3, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
506
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-2, 1, -3, -3],\n [-3, -3, 0, 1],\n [-1, -3, -2, 4],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
286
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -3, -1],\n [2, 2, 0, -1],\n [-3, 0, 4, 1],\n [-1, -1, 1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-59
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -3],\n [-2, 0, 4, 0],\n [3, 4, 2, 3],\n [-3, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
571
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 0, -1],\n [-4, -1, -3, -2],\n [-1, 2, 2, 2],\n [0, 1, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 0, 0],\n [-4, 1, -2, -1],\n [0, -2, -1, 0],\n [0, -1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4581
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[2, 2, 0, 2],\n [2, 1, 1, 1],\n [0, 1, 0, -3],\n [2, 1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
465
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -2, 0],\n [1, -1, 3, 1],\n [-2, 3, 4, 0],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1529
|
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, 4, -2],\n [1, 0, 2, -2],\n [0, -3, 4, -4],\n [4, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1580
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -1],\n [-2, 2, 1, 2],\n [0, 1, -1, -2],\n [-1, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
666
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -4, 0],\n [2, -2, 0, -2],\n [-4, 0, -3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6285
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 0, -2],\n [2, 1, -4, 0],\n [0, -4, -3, 0],\n [-2, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-325
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 3],\n [-1, -2, -1, 4],\n [-4, -3, -3, 4],\n [-2, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9785
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, -2, 3],\n [-2, 1, 1, -3],\n [-4, -1, -3, 4],\n [-2, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
883
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 2, 4],\n [2, -3, -2, -3],\n [2, -2, -1, 0],\n [4, -3, 0, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -4, 0],\n [-1, -2, 2, -2],\n [-4, 2, -4, -3],\n [0, -2, -3, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, 2, -2, -1],\n [2, -4, -4, -3],\n [-2, -4, -4, 0],\n [-1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2524
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 3, -2],\n [3, 1, 1, -3],\n [2, 1, -1, -2],\n [4, 0, -1, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, 1],\n [-2, 2, -4, -4],\n [1, 2, 2, -4],\n [0, 1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 1, 1],\n [-2, 4, 0, 0],\n [1, 0, 0, -2],\n [1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, -1],\n [-3, -3, -1, -4],\n [-3, -3, -3, -1],\n [1, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1725
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -1, 0, -2],\n [-1, -1, -2, -2],\n [0, -2, -4, 1],\n [-2, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 2, 0],\n [-1, -3, 0, -1],\n [2, 0, -3, 2],\n [0, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4204
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 1, 2, 4],\n [-3, 0, -4, -1],\n [-3, -1, 4, 2],\n [-4, 4, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5723
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, 0, 0],\n [3, 0, 3, -1],\n [0, 3, -4, 1],\n [0, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, -3, -4],\n [1, 1, 2, -1],\n [-2, 3, 4, 4],\n [-3, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2726
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 1, -3],\n [-4, 3, 2, 2],\n [0, -1, 2, -1],\n [3, -3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, 1, 0],\n [-1, 4, -4, 2],\n [1, -4, 3, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18097
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 0],\n [0, 1, 2, 0],\n [3, 2, -4, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
695
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -1, -3, 0],\n [-1, 4, 0, -1],\n [3, -1, -1, 3],\n [1, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 0, 0],\n [1, 0, 2, 2],\n [0, 2, -1, 2],\n [0, 2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
226
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -1, 3],\n [0, -3, 2, -1],\n [-1, 2, 4, 2],\n [3, -1, 2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, -1, -4, -4],\n [3, -4, -4, -3],\n [-1, 1, 1, -1],\n [3, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 2, -1, -2],\n [2, 3, 4, -2],\n [-1, 4, -4, -3],\n [-2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-113
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, -1, -3],\n [-1, 0, 4, -1],\n [-1, 4, 0, -4],\n [-3, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1196
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 1],\n [0, -2, 2, 0],\n [-2, 2, -2, 0],\n [1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, 0, 3, -2],\n [0, -3, 2, -2],\n [-3, 4, -3, -2],\n [1, -3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, 2, 2],\n [0, -3, -3, 3],\n [2, -3, 1, 1],\n [2, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 1, -3],\n [-4, 1, -3, 4],\n [-4, -2, 1, 3],\n [3, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
660
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 1, 1, 0],\n [0, 1, 3, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1696
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 0, 1, -1],\n [-3, 1, 3, 2],\n [0, -3, 0, -4],\n [-1, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, -1],\n [0, 3, -1, -2],\n [2, -1, 3, 1],\n [-1, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 2, 3],\n [0, 3, -1, 3],\n [-3, 1, 0, 4],\n [-2, 0, -2, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -1, 2],\n [4, -2, -3, 2],\n [-3, 1, -3, -3],\n [-1, -1, 3, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, -2, -1],\n [-4, 1, 0, 0],\n [-2, 0, -2, -1],\n [-1, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-273
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -2, 0],\n [-2, 1, 0, 0],\n [-2, 0, 4, 4],\n [0, 0, 4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 2, 4, -3],\n [1, -4, 0, -4],\n [0, 3, 0, 1],\n [4, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-183
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 4, -2],\n [4, 0, -1, -3],\n [0, -3, -4, -1],\n [-3, -2, 4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-311
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, 2, -1, 1],\n [0, 0, 2, 4],\n [-3, 4, -4, 2],\n [-2, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[4, 1, -4, -2],\n [4, 1, -4, -1],\n [3, -2, 4, 0],\n [3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 2, -2, 0],\n [2, 1, 4, 2],\n [-2, 4, 1, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 0, -2, 0],\n [0, -4, 2, -2],\n [-2, 2, 3, 1],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -1, -1],\n [0, 4, 2, -1],\n [-1, 2, -2, 0],\n [-1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3122
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 2, 1],\n [0, 3, 0, 0],\n [2, 0, 2, 0],\n [1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
339
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -1],\n [1, -4, -4, 0],\n [2, -4, 1, -3],\n [0, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1089
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 2, -2],\n [2, 2, -2, 0],\n [2, -2, -2, 0],\n [-2, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, -3, 4],\n [1, 2, 2, -3],\n [-3, 1, 4, -4],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
353
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 3, 2],\n [1, -4, -1, 4],\n [-4, 2, -4, -4],\n [0, 4, -2, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 4, -4],\n [-4, -3, -1, 3],\n [-2, 2, -1, 0],\n [-1, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2892
|
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, 0, 0],\n [-2, 4, 3, 0],\n [0, 3, -3, -3],\n [0, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5424
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 1, 3],\n [-2, -4, -4, 2],\n [0, -2, 4, 4],\n [2, -4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7708
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, -2],\n [0, -4, 0, 0],\n [0, 0, -2, 0],\n [-2, 0, 0, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -2, 0],\n [4, 0, 0, 1],\n [-2, 0, -3, -2],\n [0, 1, -2, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
597
|
MATH
|
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