messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 2, 1],\n [3, 4, 4, -4],\n [-2, 4, 1, 3],\n [-4, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11869
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 1],\n [-2, 2, 2, 0],\n [4, 2, -3, 2],\n [1, 0, 2, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-3, -4, 3, 0],\n [-3, 2, 4, -2],\n [2, 0, 2, 3],\n [-1, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, -4, 0],\n [0, -2, 0, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, -3, -2, 0],\n [-2, -3, -3, -4],\n [4, 0, -4, -4],\n [-2, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, -4, 2],\n [-2, 4, 0, 0],\n [-4, 0, -3, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1118
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -3, 0],\n [-2, 0, 4, 2],\n [-3, 4, -4, 2],\n [-1, -1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1362
|
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, -4, 0],\n [2, -4, 3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12911
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, 1, 3],\n [-2, 0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, 4, 2, 4],\n [1, 1, -3, 1],\n [-2, -3, -3, 4],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, 4, -3, 0],\n [2, -3, -2, -1],\n [2, 0, -1, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 2, -4, 0],\n [2, 3, 2, 0],\n [-4, 2, -4, 4],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
114
|
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, 1, 2],\n [3, 3, 0, -4],\n [1, 4, 4, 4],\n [4, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7618
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -4, 0],\n [-3, 3, 2, -2],\n [-4, 2, -3, 2],\n [0, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1323
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, -2, -1, -1],\n [-3, 1, 4, -3],\n [1, 3, 3, 2],\n [3, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, 3, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-901
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, -1, 1],\n [-2, -1, -2, -1],\n [2, 3, 0, 2],\n [3, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2560
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, 0, -4],\n [0, -1, -3, 4],\n [2, 4, 1, 4],\n [-1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
765
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 1, -1],\n [-2, 4, -1, 0],\n [4, 2, -2, 0],\n [-2, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
453
|
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, 0, -2],\n [1, 0, -4, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3836
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, -2, 2],\n [2, 1, -3, 2],\n [-2, -3, 4, -3],\n [2, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
517
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-2, 4, -4, 2],\n [-3, -1, -2, -4],\n [0, -1, 3, -4],\n [4, 1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 1, 2],\n [0, -1, -1, -2],\n [1, -1, -3, 2],\n [2, -2, 2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
101
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 4, -1],\n [0, 0, 2, 2],\n [4, 2, 0, 0],\n [-1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 1, -2],\n [0, 2, -1, -4],\n [-3, 3, 3, -3],\n [-2, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 2, -1],\n [2, 2, 1, 0],\n [2, 1, -4, 4],\n [-1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
266
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 2, 2],\n [-1, 4, -2, -2],\n [2, -2, 2, 2],\n [2, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7713
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, 0],\n [0, 0, 2, 0],\n [-2, 2, -4, -4],\n [0, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-576
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, -2],\n [1, -4, 4, -1],\n [2, -3, -3, -3],\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"
}
] |
3024
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, 1, -2],\n [4, 0, -3, 4],\n [-4, 1, 0, 4],\n [1, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1179
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, -4],\n [-3, -3, 1, -2],\n [-2, -1, -4, 1],\n [0, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8530
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, -2, 1, -2],\n [0, 1, 1, 4],\n [-1, -2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
198
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 4, 0],\n [1, -3, -2, 4],\n [4, 3, -3, 0],\n [-2, -4, 0, 4]], determine the sum of all entries.\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 3th power of the matrix:\n[[1, -3, -3, -4],\n [4, 4, -2, -3],\n [-2, 2, 3, -1],\n [-2, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1730
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -3, 2],\n [-3, -2, -2, -2],\n [3, 4, 2, 3],\n [3, 4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3984
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -4, -4],\n [-1, -4, -3, -4],\n [3, 1, 4, -3],\n [-3, -2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1897
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, 4, 1],\n [0, 2, -3, -3],\n [2, 1, 2, 0],\n [4, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1094
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 4, -2],\n [2, 1, 0, 0],\n [4, 0, 2, 1],\n [-2, 0, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
997
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 3],\n [2, 0, -3, -1],\n [3, -3, -4, 1],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13475
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -1, 0],\n [3, -2, -4, 4],\n [2, 4, 3, -3],\n [1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-205
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 1, 3],\n [3, 4, -3, 2],\n [4, 4, 4, 0],\n [-4, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1032
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -1, 2],\n [2, 1, 1, -4],\n [-1, 1, -4, 2],\n [2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1793
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, -3],\n [0, 1, 2, -2],\n [0, 2, -4, -3],\n [-3, -2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-237
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -3, 0],\n [-2, 4, 3, 4],\n [0, 2, 0, -3],\n [-3, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3502
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 4, 4],\n [0, -2, 1, 1],\n [3, 1, 3, -3],\n [1, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
614
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 0, 4],\n [0, -3, 0, 3],\n [1, 4, 3, 2],\n [1, -2, 0, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, -3],\n [0, -2, 2, -1],\n [-4, 2, 4, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2186
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, -3, 3],\n [-3, 0, -3, 4],\n [3, -1, 0, 2],\n [4, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
964
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, -2],\n [-1, -1, -2, 3],\n [0, -2, -1, 0],\n [-2, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
918
|
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, -2, 3],\n [2, 3, 4, -3],\n [4, 1, 4, 0],\n [1, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
780
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-3, -3, -4, 4],\n [4, 2, 4, -1],\n [4, -1, -2, -3],\n [-2, 1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
575
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 4],\n [-1, -2, 3, 4],\n [-1, 4, 4, 3],\n [0, -3, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1007
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, -3, -4, 1],\n [-3, 3, 1, 3],\n [-4, 1, -4, -2],\n [1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 3, 3],\n [2, -2, -1, 2],\n [0, -1, 3, 4],\n [0, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4789
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, 0, 0],\n [-4, -4, 2, -2],\n [0, 2, -1, 2],\n [0, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1225
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 2, 1, 0],\n [2, 1, -1, -2],\n [1, -1, 2, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-109
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, -2, 4, -4],\n [0, 4, -4, -1],\n [-3, 4, 2, -4],\n [-1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[4, 1, -4, -2],\n [1, -3, 4, 0],\n [-4, 3, -4, -3],\n [4, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -4, -4],\n [0, -2, 3, 0],\n [3, -3, -3, -1],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
566
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 2],\n [2, -4, 1, 0],\n [0, 1, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, -2, 2],\n [2, 0, -1, 0],\n [-2, -1, 3, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
486
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, -3, -2, 3],\n [-1, 2, 4, -1],\n [-3, 4, 0, -1],\n [-2, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-675
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 4, 0],\n [-3, -1, 0, 1],\n [-3, 0, 1, -4],\n [0, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2970
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-2, 2, -4, -3],\n [2, -3, -3, 3],\n [-1, 4, 3, 3],\n [-2, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 0],\n [-4, 4, 4, 0],\n [0, 4, -4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8928
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[4, -3, 3, 0],\n [-3, -4, 1, 3],\n [3, 1, 2, -3],\n [0, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, -4],\n [-3, 4, -2, 1],\n [-2, -1, 2, 4],\n [2, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1708
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -2],\n [-1, 3, -1, 2],\n [1, -1, -4, 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"
}
] |
2365
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, -1, 1],\n [3, 0, -1, -4],\n [1, 2, -1, 3],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 1, -3, -2],\n [0, -3, 0, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 1, 4],\n [-3, 4, 4, -3],\n [-4, -4, -3, 4],\n [-2, 4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3998
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 1, 0],\n [1, -2, 3, 0],\n [1, 3, 0, 1],\n [0, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
269
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, -2, 0, -4],\n [-2, 4, 2, 0],\n [0, 2, -4, 0],\n [-4, 0, 0, -3]]?\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[[-1, 0, 2, 3],\n [-1, 1, -2, 2],\n [2, -2, 4, -3],\n [-4, -3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
709
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, 1],\n [2, 2, -4, 4],\n [-2, -4, -3, 0],\n [1, 4, 0, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-984
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -2, 1],\n [1, -3, -1, 2],\n [-4, -3, 3, -3],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1435
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 4, -4],\n [-4, 4, 3, 0],\n [2, -2, -1, 3],\n [1, 0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-499
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, 4, -2],\n [-3, 2, 2, 0],\n [4, 2, 2, -2],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1827
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 0],\n [1, -3, -2, -1],\n [2, -2, 1, 0],\n [0, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
519
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, -1, 0],\n [3, 3, 0, -3],\n [-1, 0, -4, 0],\n [0, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1260
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-2, 1, 2, 3],\n [1, 0, -2, 1],\n [2, -2, -3, 2],\n [3, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-134
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, 2],\n [-2, 1, -2, -3],\n [-2, -2, -4, 0],\n [2, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5190
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 2, 0],\n [-2, -1, -2, 2],\n [2, -2, 4, 0],\n [0, 2, 0, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
222
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, 0],\n [-3, 2, 4, -3],\n [3, -3, 0, 3],\n [4, 4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -3, 2],\n [0, -4, 0, -4],\n [-3, 0, -1, -4],\n [2, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1538
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, 2],\n [-3, 2, -3, -4],\n [0, -2, -1, -2],\n [1, -2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6476
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, -2, 3, -1],\n [0, 3, -3, 3],\n [3, 2, 1, -1],\n [1, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, 0, -2, 0],\n [3, 0, -3, 2],\n [-2, 1, -3, -4],\n [3, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, 0, -3],\n [1, 2, -4, 1],\n [1, -1, -3, -4],\n [1, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, 1, 3],\n [-2, 4, 3, 3],\n [-2, -4, 4, -2],\n [2, -4, -3, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
213
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, -4, 0, 3],\n [-1, 1, 1, -2],\n [-1, -3, -1, 1],\n [-1, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 1, -4],\n [0, 2, 1, 2],\n [1, 1, 3, -2],\n [-4, 2, -2, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-568
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, 4, 3, 2],\n [-2, -2, 2, -4],\n [-2, -3, 4, -2],\n [-1, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, 0, 1],\n [3, -3, 4, 1],\n [-3, -4, -2, 1],\n [2, -4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3018
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, 1, -2, 4],\n [-2, 3, -1, -4],\n [-4, 4, 3, 4],\n [4, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
971
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -3, 1],\n [0, 1, -3, -3],\n [3, -4, -4, 4],\n [1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2415
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 2, 0],\n [1, -2, -2, -3],\n [4, -4, 2, 2],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[1, 0, -2, 0],\n [0, 1, 4, 2],\n [-2, 4, -1, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, -1],\n [-2, 3, 2, 2],\n [0, 2, -3, 0],\n [-1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, 0, -1, -3],\n [0, -2, 0, -2],\n [-1, 0, -4, 4],\n [-3, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
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