messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, -1, -2, -2],\n [0, 3, 2, -1],\n [-4, 1, 2, -1],\n [4, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
554
|
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, 3, 0, 2],\n [-2, 0, 0, -1],\n [3, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1194
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 2, -2],\n [-2, -2, -4, 2],\n [2, -4, 1, 3],\n [-2, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1095
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, -2, 2],\n [1, 1, 4, -3],\n [-4, 0, -3, 4],\n [3, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -3, 4],\n [0, -1, 4, -2],\n [1, 1, -2, 0],\n [2, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
603
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -3, 0],\n [-1, 0, -1, 3],\n [-3, 0, 4, 0],\n [-3, 4, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 3, 0],\n [4, -1, -3, 4],\n [-4, -3, -2, -1],\n [3, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1716
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -3, 0, -3],\n [-3, 0, -3, 1],\n [1, 4, -1, 0],\n [-2, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
278
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 4, -2],\n [-1, -1, -1, -4],\n [-2, 0, 4, 2],\n [1, 4, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3136
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-2, -2, 4, -1],\n [-3, -2, -3, 0],\n [-3, 2, -3, -1],\n [-1, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, -3, 3, -3],\n [-4, -3, -4, 3],\n [-3, 1, -3, 3],\n [0, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
417
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, -1],\n [0, -2, 2, -2],\n [2, 2, -1, -2],\n [-1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 3, 3],\n [0, 2, -2, 1],\n [1, 0, 0, 1],\n [-1, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-2, 1, 1, 2],\n [3, -3, 2, -4],\n [-4, 3, -1, -2],\n [3, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, -1],\n [-3, 1, -3, 3],\n [-1, -1, -2, 2],\n [3, 2, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, -1, 0],\n [2, 1, 3, -1],\n [-1, 1, 4, 4],\n [-4, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1002
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-3, 0, 0, 0],\n [0, -2, -2, 2],\n [0, -2, 3, 3],\n [0, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
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, -3],\n [-3, 1, -1, 4],\n [-3, -4, -1, -4],\n [0, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7706
|
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, 0, -2],\n [0, -3, -2, -2],\n [0, -2, 4, 0],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3519
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, -4, -2, 0],\n [-4, 1, 3, -1],\n [-2, 3, 3, 0],\n [0, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1448
|
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, 0],\n [-1, 1, 2, 2],\n [-2, 2, 3, 3],\n [0, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1380
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 1, 4],\n [2, -4, 0, 2],\n [2, 4, 3, -2],\n [3, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, -1, 0, 0],\n [-1, 3, 2, 0],\n [0, 2, -4, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -2, -2],\n [4, -1, 4, 3],\n [4, -3, -3, 1],\n [-1, -3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1135
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 4, 3],\n [-2, -2, -2, 3],\n [-1, -2, -4, -3],\n [-4, -3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
716
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 2, 3, 0],\n [2, 3, 2, 2],\n [3, 2, -3, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-1, 1, 2, 3],\n [-3, 2, 4, 4],\n [-1, 1, 1, 1],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 0],\n [-2, 2, 2, 0],\n [-2, 2, -3, 1],\n [0, 0, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, 4, 0, -1],\n [4, 4, -2, -2],\n [0, -2, 0, -2],\n [-1, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1314
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, -1, 1, 0],\n [1, 2, 0, 1],\n [-4, -2, 0, 3],\n [-1, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 0, -4],\n [-2, 2, -3, 2],\n [2, -4, 3, -4],\n [0, 3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7764
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, -1, -2],\n [3, 2, 0, 2],\n [-1, 0, 2, 1],\n [-2, 2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
358
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, -1],\n [0, 2, 0, 0],\n [2, 0, 4, 2],\n [-1, 0, 2, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 0],\n [0, 2, 0, -1],\n [-2, 0, 2, 2],\n [0, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1566
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, 4, 2],\n [2, 4, 2, 3],\n [3, -4, 4, 4],\n [2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -2, -1],\n [-2, 4, -4, -1],\n [4, 3, -1, -4],\n [0, -1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-319
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 3, -3],\n [0, 1, -3, 3],\n [-1, -3, 0, 1],\n [0, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 1, -1],\n [-1, 0, 2, -3],\n [-3, -2, 4, 4],\n [1, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
231
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 2, 3, -1],\n [-2, 2, -2, 1],\n [3, -2, 2, 3],\n [1, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-182
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, 4, 0, 1],\n [0, 0, -3, 0],\n [0, 1, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, -4, 1, 1],\n [-1, 0, -4, 3],\n [0, -1, -4, 0],\n [3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 4, 4, 0],\n [3, -1, -2, 2],\n [-2, 1, 1, -3],\n [0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 3, -1],\n [-2, 4, -3, -2],\n [4, 0, 0, 3],\n [4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1921
|
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, -2, -1],\n [-1, -1, -3, 2],\n [-2, -3, -2, 2],\n [-1, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1018
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, -3, 3],\n [1, -2, 3, 1],\n [-4, -1, 3, -4],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3358
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, 0, -1],\n [4, 4, 3, -3],\n [0, 3, -3, 0],\n [-1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16490
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 0],\n [-2, -4, 2, 1],\n [0, 2, -2, 0],\n [0, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
657
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 2, 4, -2],\n [-4, 2, 4, 0],\n [2, -1, 3, -3],\n [1, -4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
127
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -1, -2],\n [0, -4, -4, 4],\n [-4, -3, 2, -4],\n [-4, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-798
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 1],\n [2, -4, 0, 0],\n [0, 0, 2, 0],\n [1, 0, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
241
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 2, -2],\n [1, -1, 4, 4],\n [-2, -1, 3, -2],\n [3, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5267
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 4],\n [1, 4, 4, 2],\n [4, -3, -3, -3],\n [3, -3, 0, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
88
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 1],\n [0, -1, 0, 0],\n [0, 0, 2, -3],\n [1, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
486
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, -2, -2, 0],\n [0, -2, 1, 0],\n [1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [1, 2, 4, 4],\n [3, -1, 3, -3],\n [4, 2, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3024
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 3, 3],\n [-4, 3, 4, -3],\n [1, -1, -2, 4],\n [2, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14957
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 0, -2, -1],\n [0, 2, 3, -2],\n [-2, 3, 4, 2],\n [-1, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 0],\n [-4, -1, 4, -1],\n [2, -3, 3, -3],\n [0, -1, 3, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
271
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, -2, 1],\n [0, -4, -4, 2],\n [3, -4, -4, -3],\n [-3, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-801
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -2, -1],\n [2, 0, 2, 0],\n [-2, 2, -2, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -4],\n [4, -3, -3, -3],\n [-4, -2, 3, -2],\n [4, -3, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-266
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, 2, -1],\n [4, -2, 3, 0],\n [2, 3, -4, 2],\n [-1, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, -4, 2, -1],\n [0, 2, 2, 3],\n [0, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, 0, 2, 0],\n [0, 0, -4, -3],\n [2, -4, 1, 4],\n [0, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, -2],\n [3, -1, -4, 2],\n [2, 4, 3, -4],\n [-3, -2, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-137
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, 1],\n [-2, -4, -2, 0],\n [0, -2, 0, 2],\n [1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-248
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[0, 2, 2, -4],\n [4, -2, 2, -1],\n [1, 2, 4, -4],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
224
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, -2],\n [0, 0, 0, 1],\n [0, 0, -1, 3],\n [-2, 1, 3, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
63
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -2, 2],\n [0, -2, 0, 0],\n [-2, 0, -1, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1021
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 2],\n [0, -4, 0, -2],\n [2, 0, 1, 4],\n [2, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1472
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 3, 4, 3],\n [4, 0, 4, 3],\n [1, 1, 0, -2],\n [-4, -1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
555
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -3, -3],\n [0, 0, 1, 4],\n [0, 4, -4, 0],\n [-2, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1898
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -1, -3],\n [-2, 4, 4, -1],\n [2, 3, 3, 1],\n [0, 3, 3, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[1, -1, 1, 0],\n [-1, 1, 0, 0],\n [1, 0, -2, -1],\n [0, 0, -1, -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[[1, 1, 2, 4],\n [3, 4, 1, -1],\n [-4, 1, 4, -4],\n [-1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 4, -2, 4],\n [-3, -3, -3, -3],\n [3, -4, -1, 0],\n [-2, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
354
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 2, 3],\n [4, 4, -4, -3],\n [-3, 3, -3, 0],\n [4, 1, -4, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-272
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -1, 0],\n [0, -2, -3, 4],\n [-1, 0, 0, -3],\n [-3, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 1],\n [1, 1, 0, 0],\n [0, 0, 3, -2],\n [1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -4, 2],\n [-3, 4, -2, 3],\n [-3, -3, 3, 0],\n [0, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-240
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 1, -1],\n [0, 1, 4, 0],\n [1, 4, -1, 4],\n [-1, 0, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
779
|
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, -2, -1],\n [-4, -4, 2, 2],\n [3, 4, -4, 3],\n [1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2362
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, -1, 1],\n [2, -1, 2, -4],\n [1, 3, 0, 2],\n [1, 0, 4, 2]], determine the sum of absolute values of all entries.\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^4 where A is:\n[[4, 4, -1, -3],\n [1, 1, 4, -2],\n [2, -3, 0, 2],\n [-3, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1244
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, 4, -1],\n [1, 1, 2, 0],\n [-3, -3, 3, 2],\n [-1, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-398
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, 2],\n [0, 3, 0, -1],\n [4, 0, -1, 0],\n [2, -1, 0, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, 2, 3, 1],\n [2, -3, 0, 0],\n [3, 0, 0, 2],\n [1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 4, -4, 2],\n [3, 2, 2, 4],\n [-1, -4, 1, -4],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1965
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 3, 2],\n [-1, 0, 0, 1],\n [3, 0, 3, 2],\n [2, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1378
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, 3, -3, 4],\n [-2, -2, -1, -4],\n [1, 3, -3, 4],\n [0, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 3, 2, 2],\n [4, 2, -2, -1],\n [2, 0, 1, -2],\n [-2, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
282
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 3, -2],\n [3, -2, 0, -1],\n [-4, -1, 2, -4],\n [4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1184
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, -2, 0],\n [1, 2, -2, 2],\n [-2, -2, 3, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
273
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, -3, 2],\n [-1, -4, -2, 1],\n [1, 0, -4, 3],\n [-3, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5122
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, 2],\n [0, 2, 0, 2],\n [0, 0, -3, 2],\n [2, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1677
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, 4, 0, 1],\n [-2, 0, -3, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2243
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -4, 0],\n [2, -3, 2, -3],\n [-1, 0, 4, -1],\n [-4, -3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5534
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 2, -2],\n [-2, -1, 0, 3],\n [2, 0, 3, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
850
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, 2],\n [0, 0, 0, -3],\n [2, 0, 2, 2],\n [2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 3, 2],\n [0, 0, 2, 2],\n [3, -1, -3, 1],\n [1, -1, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3168
|
MATH
|
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