messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, -2, -2],\n [1, 3, -4, -4],\n [-4, 3, -1, 4],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-70
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 1, 4],\n [1, -2, 2, -1],\n [-4, 0, 4, 1],\n [2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-868
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 2, 4, 1],\n [-4, 3, -4, -3],\n [-4, 1, -2, -1],\n [3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 2, -2, 0],\n [2, 3, -2, -2],\n [-2, -2, -2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 1],\n [-1, 0, 4, 2],\n [1, -3, 0, 3],\n [-4, -4, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
636
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, -1, -2, 1],\n [-2, 3, -4, -2],\n [-4, -3, 4, 1],\n [-4, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-4, 4, -3, -4],\n [-4, 0, 1, -2],\n [1, 4, -3, 3],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 0, -2],\n [3, 4, 2, -2],\n [0, 2, 3, 3],\n [-2, -2, 3, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-208
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 3, 1, 4],\n [3, 1, -4, -4],\n [1, -1, -4, -1],\n [2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
243
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -4],\n [2, -1, 2, 2],\n [0, 2, -1, 1],\n [-4, 2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
761
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, 0],\n [-2, 0, 0, -3],\n [-2, 0, -1, 0],\n [0, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
227
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 4, 3],\n [2, 4, -4, -3],\n [2, -1, -2, -1],\n [4, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
780
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, 3, 0],\n [-4, 1, 2, -1],\n [3, 2, 0, -2],\n [0, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 3, 0],\n [2, 3, -3, 3],\n [1, 3, -1, -3],\n [1, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
445
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 0, 0],\n [2, -4, 4, 3],\n [0, 4, -3, -4],\n [0, 3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52695
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 1, -1],\n [3, -4, 0, 0],\n [1, 0, 2, 1],\n [-1, 0, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
660
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 4, 2],\n [0, 3, 2, 0],\n [4, 2, -2, 2],\n [2, 0, 2, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 1],\n [0, -2, 3, 0],\n [0, 3, 2, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
435
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 0],\n [-3, -4, -2, -3],\n [-3, -3, 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"
}
] |
1380
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 1, 1],\n [-2, 4, 0, 2],\n [1, 0, -3, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3191
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -1, 4],\n [-2, 4, 0, -2],\n [-4, 3, 4, 0],\n [2, -2, -4, -2]]?\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^4 where A is:\n[[2, -1, 4, 3],\n [-2, -4, 4, 1],\n [2, 2, -2, -2],\n [2, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1410
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, -4, 2, 0],\n [0, -1, -3, 0],\n [-3, -3, -3, -4],\n [2, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-221
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -1, 0],\n [4, -4, 0, -3],\n [1, -4, -4, 4],\n [-2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
556
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, -4, 1],\n [-2, 1, 0, -1],\n [1, 4, 4, -4],\n [1, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -3, -1],\n [2, 1, 0, 1],\n [3, 2, -2, -2],\n [1, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, 2, 2],\n [-1, -3, -1, -2],\n [1, -2, -3, 3],\n [4, -2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12617
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 0, 4],\n [-1, -3, 1, 4],\n [-1, -4, 2, -4],\n [0, 4, 2, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, -1, -1],\n [0, -3, 0, 0],\n [-1, 0, -1, 2],\n [-1, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
219
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 2],\n [0, 0, 0, -2],\n [0, 0, 3, 0],\n [2, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2343
|
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 [-4, 1, -4, 4],\n [1, -1, -4, 2],\n [3, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3497
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -4, -4],\n [2, -2, 2, 2],\n [-4, 2, 3, -2],\n [-4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1707
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, -4],\n [2, -1, 2, 0],\n [2, 2, -1, -1],\n [-4, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3281
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -1, 3],\n [4, -2, 1, -2],\n [-4, -2, 2, 2],\n [0, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
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, 2, -2, 2],\n [-2, -2, 0, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -2],\n [-2, -3, 2, 0],\n [0, 2, -3, 2],\n [-2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5890
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -4],\n [-2, 3, 0, -3],\n [0, 0, 1, 2],\n [-4, -3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1666
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 3, 1, 3],\n [4, -4, 0, 4],\n [0, 1, 3, 4],\n [2, 3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
404
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 3],\n [-2, 1, 2, -4],\n [0, 2, 0, -1],\n [3, -4, -1, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1273
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 2],\n [0, 2, 0, 4],\n [-1, 0, 0, 2],\n [2, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4365
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, -3, -1, 3],\n [-4, 0, -2, -3],\n [-4, -3, 1, 1],\n [-1, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-204
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -3, 3],\n [-2, -2, -2, 1],\n [3, 0, 3, -1],\n [-1, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, -3, 3, -2],\n [2, -1, 4, -2],\n [-2, 0, -2, -1],\n [0, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, 2, 3, 0],\n [2, 3, 2, 2],\n [3, 2, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 1, 3],\n [0, 2, -2, 2],\n [1, -2, -4, -2],\n [3, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -3],\n [-2, 2, -4, -2],\n [0, -4, -3, -3],\n [2, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5265
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, 1, -2, -1],\n [-4, -1, -4, 2],\n [2, -2, 4, 1],\n [4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-134
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, 3, 0, 3],\n [4, 3, 1, 1],\n [-1, 3, 4, 1],\n [2, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
396
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, -1],\n [2, -4, -4, 1],\n [3, -2, 0, 3],\n [0, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
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, 4, 0, 1],\n [2, 0, 4, -4],\n [0, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, -1, 2, 0],\n [4, 1, -1, -4],\n [-2, 2, -3, -1],\n [-1, 1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, 1, 4, 1],\n [-4, 0, -1, -3],\n [2, 3, 4, -1],\n [1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 4],\n [-4, 2, 0, -4],\n [-2, 0, 1, 4],\n [3, -2, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1280
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, 1, 3],\n [3, -1, 4, 4],\n [4, 2, 3, 0],\n [0, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7194
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -4, 1],\n [3, -4, -2, -1],\n [1, 2, -2, -3],\n [-4, -4, -3, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
164
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 3, 2],\n [2, -4, 2, 0],\n [3, 2, -1, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, 3],\n [4, -3, 2, 2],\n [0, 0, 1, 3],\n [3, 0, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3360
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [2, -2, 0, -1],\n [-3, 4, 4, 1],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -1, -1],\n [0, -4, 0, 1],\n [-1, 0, 3, 0],\n [-1, 1, 0, 4]], determine the value at position (2, 1).\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 absolute values of all entries of the result:\nA =\n[[4, 0, -4, 0],\n [0, 3, 2, 0],\n [-4, 2, 1, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8866
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -2],\n [2, -3, 4, -2],\n [2, 4, 2, -2],\n [-2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6617
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, 3, 0, 1],\n [-1, 0, -2, 0],\n [2, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 2, 4],\n [2, -1, 1, -2],\n [2, 1, 1, 3],\n [4, -2, 3, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -2, -3, 0],\n [2, -3, -2, -2],\n [0, 1, -3, -1],\n [-1, -4, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -1],\n [2, 3, 1, -2],\n [0, 1, 2, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 3, -3],\n [3, 0, 2, -1],\n [1, 1, 0, 1],\n [-1, -1, -2, -3]]\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, 1, -4, -1],\n [1, -2, -1, 2],\n [-4, -1, 1, 3],\n [-1, 2, 3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
875
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 0, 4],\n [-4, 1, -1, -4],\n [1, 4, 0, -1],\n [1, 4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9192
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 2, 0],\n [2, 2, 2, -4],\n [2, 2, 4, 0],\n [0, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10608
|
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, 2, 4],\n [-2, -1, 4, -3],\n [1, 1, -4, 3],\n [4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7876
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -1, 1],\n [2, -1, -3, 0],\n [-2, 4, -3, 4],\n [-4, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
444
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, -3],\n [0, 4, 2, 0],\n [0, 2, 1, 0],\n [-3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1382
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, 4],\n [1, 4, -2, 3],\n [-4, 2, -1, -4],\n [-4, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1399
|
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, -2, 1],\n [2, 2, -2, 0],\n [-2, -2, -2, -2],\n [1, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2686
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [0, -1, 4, -1],\n [2, 4, 0, 2],\n [0, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, 2],\n [-1, 2, 0, 0],\n [2, 0, -4, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3763
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -4],\n [2, -3, 0, 2],\n [-2, 0, -1, 2],\n [-4, 2, 2, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-4, 3, 2, 3],\n [-3, -1, -4, 3],\n [0, -1, 2, -4],\n [1, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, 0, -4],\n [-3, 3, -3, -1],\n [2, -3, 3, -3],\n [0, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[0, -1, 0, -4],\n [-1, 0, -2, 3],\n [3, 1, 4, 2],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -1, 2, -4],\n [-1, -2, 4, 0],\n [2, 4, -4, 2],\n [-4, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1280
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-1, -2, -4, -4],\n [-2, 0, 0, 1],\n [-4, 0, 4, 2],\n [-4, 1, 2, -4]]?\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^4 where A is:\n[[-1, 2, 2, -4],\n [2, 4, 3, 0],\n [2, 3, 3, -3],\n [-4, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7659
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 3, -1],\n [-1, 1, 0, -4],\n [3, 0, 1, 2],\n [-1, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6256
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[1, 3, 1, 2],\n [4, -4, 4, -4],\n [-1, -2, -3, -3],\n [-1, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-203
|
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, 1, 0],\n [4, 0, 4, 1],\n [4, 2, 0, -1],\n [4, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
950
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, 1, -4],\n [3, 0, 1, 2],\n [0, 0, 1, 0],\n [2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1096
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, -4, 0],\n [-3, -2, -2, -1],\n [-1, 1, 2, 3],\n [3, -3, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6146
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, -1, 4, 2],\n [-4, 4, 1, 4],\n [3, -2, 1, 4],\n [-3, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 1, 0],\n [-4, -2, -1, 4],\n [0, 1, -1, -4],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
998
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -2, 0, -2],\n [-2, 4, -3, 1],\n [0, -3, 0, 2],\n [-2, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -4, -4],\n [-1, 2, -3, 2],\n [-4, -1, -4, 0],\n [0, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5121
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, -1, -2],\n [-4, -2, 2, 0],\n [-1, 2, 0, -2],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
658
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 3],\n [0, -1, -4, 1],\n [-1, -4, -3, -2],\n [3, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8131
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 3, 2, 0],\n [3, 0, 2, 2],\n [2, 2, -4, -4],\n [0, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-578
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 0],\n [-2, -4, 0, -2],\n [0, 0, -4, 1],\n [0, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-379
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, -3, 0],\n [-1, -1, -2, -2],\n [-3, -2, 0, 0],\n [0, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1798
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[0, -1, 2, 0],\n [-1, -4, 0, 2],\n [2, 0, -2, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -3, 0, 1],\n [-3, -3, 0, -3],\n [0, 0, -4, -4],\n [1, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8588
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, 0, 4, -2],\n [0, 1, -2, -2],\n [4, -2, 2, 2],\n [-2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
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