messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 0],\n [-1, 1, 3, 4],\n [1, 0, 3, 4],\n [2, -4, 4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, -1, 0, -2],\n [-1, -3, -2, -2],\n [0, -2, 3, 0],\n [-2, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
332
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 3, 1],\n [3, 3, -1, -4],\n [-3, 0, -1, 3],\n [2, -3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3350
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 4],\n [0, 0, -2, 0],\n [0, -2, 2, 4],\n [4, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
725
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 2, -2, 2],\n [0, -2, -3, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
550
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 0, -1],\n [2, -2, 2, 0],\n [0, 2, -4, 0],\n [-1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3309
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, -4, 0],\n [-3, -3, 0, 3],\n [3, -4, -4, 0],\n [-3, -3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
854
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, 4],\n [1, -2, -2, -4],\n [0, -2, 0, -2],\n [4, -4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6577
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, -2, -2],\n [0, -1, 4, 4],\n [4, 0, -4, -4],\n [-2, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4739
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, -2, -4, -2],\n [-2, 4, 0, 0],\n [-4, 0, -3, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -3, -3],\n [-2, 1, 1, 1],\n [-4, 1, -1, 0],\n [-3, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1291
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 1],\n [2, -3, -4, 3],\n [0, 0, 1, -1],\n [3, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, -4, -3, 0],\n [4, 2, 1, -4],\n [-2, -2, -1, 3],\n [1, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-122
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, -2, 0],\n [0, 3, 2, -2],\n [-2, 2, 4, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 3, -2],\n [-4, 0, 0, 4],\n [4, 0, 4, 4],\n [4, -2, 0, 4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2016
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -1, -4],\n [-4, -2, 1, 4],\n [4, -1, -4, 1],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3159
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 0, 0, 1],\n [3, 1, 1, 1],\n [-4, -3, -1, -1],\n [-2, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, 0, 4, -2],\n [0, -1, 0, 0],\n [4, 0, -2, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 2],\n [1, -2, -1, 0],\n [3, 3, 4, -4],\n [-1, -4, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-808
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 2, 0],\n [4, 4, -1, 4],\n [2, -1, 1, 0],\n [0, 4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7887
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 0, -4],\n [-1, -4, 0, 1],\n [0, 0, -4, 2],\n [-4, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -4],\n [0, 2, 2, -3],\n [-2, 2, -4, -4],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20858
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 2, 0, 2],\n [2, -4, 1, 0],\n [0, 1, -4, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-604
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 3, -2, -2],\n [0, -2, 3, -3],\n [0, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-536
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-1, 0, -3, -2],\n [0, -1, -2, 2],\n [-3, -2, -1, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 1, 3],\n [-1, 3, 2, -2],\n [1, 2, -1, -2],\n [3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[1, 2, -1, -3],\n [3, -3, 3, 0],\n [-1, -2, -2, 2],\n [-3, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 2, 0, -2],\n [-2, 0, -2, -1],\n [0, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3282
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 4, 0],\n [2, -4, 0, 1],\n [4, 0, 2, 3],\n [0, 1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7864
|
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, 0, 0],\n [1, 0, -4, -1],\n [3, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1893
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 0, 3, -2],\n [0, -2, 2, -1],\n [3, 2, -3, 2],\n [-2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 4, -3, -4],\n [0, 3, 2, -4],\n [0, -2, 1, 3],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[0, 1, 0, -3],\n [0, -3, 4, 1],\n [4, -4, -1, 4],\n [3, 3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1296
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, 1, -1, 1],\n [-4, -1, 2, 3],\n [-1, -4, 0, 4],\n [-4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-358
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, 0, -3],\n [-4, 0, -3, -1],\n [-2, -4, 2, 3],\n [3, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, -1, 1, -1],\n [1, -4, -2, -1],\n [1, -4, 4, -2],\n [-2, 4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[0, 4, 1, 1],\n [-3, 3, 4, -2],\n [-4, 0, 3, 3],\n [-1, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 3, -2],\n [0, -2, 3, 2],\n [2, 0, -2, -4],\n [0, -2, 1, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, 0, 0],\n [0, -4, -2, 0],\n [-2, 3, 1, -2],\n [1, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
230
|
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, 2, 0],\n [0, 4, 2, -2],\n [2, 2, -2, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2693
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 4],\n [-1, 1, 0, 0],\n [0, 0, 4, 2],\n [4, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3758
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -4, 0],\n [-1, 0, -4, -1],\n [3, 2, 4, -2],\n [-4, 3, 2, 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[[3, 3, 2, 2],\n [4, -1, 3, -3],\n [-2, 2, 0, -2],\n [1, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3380
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, 0, 1, 2],\n [-2, 1, -4, 0],\n [4, -3, -4, 1],\n [1, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 0, -4],\n [-1, 4, -3, 4],\n [2, 1, 0, -2],\n [3, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1222
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 1, 4],\n [0, -2, 1, 4],\n [-4, -3, 2, -3],\n [4, 4, 2, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-44
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -3, -1],\n [1, 2, 2, -1],\n [4, -2, 2, -3],\n [0, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
943
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 1, 0],\n [-2, 0, 2, -2],\n [1, 2, 3, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1197
|
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, -2],\n [-1, 4, 2, -3],\n [2, -4, 3, -1],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3498
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 0, 0],\n [1, 4, 0, 0],\n [0, 0, -1, -1],\n [0, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 2, -1, -2],\n [2, 4, 0, 0],\n [-1, 0, 3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 0, 2, 0],\n [0, 2, -1, 0],\n [0, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, -3, -1],\n [3, 3, -4, -2],\n [0, 3, 1, -2],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 0],\n [2, 2, -2, -1],\n [-2, 3, 3, 3],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1824
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 2],\n [2, 3, 0, 0],\n [-2, 0, -4, 3],\n [2, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
386
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 1],\n [-2, -3, 0, 0],\n [2, 0, 1, -1],\n [1, 0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, -4, -2, 0],\n [0, -2, 2, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-153
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, 4, -4],\n [4, 2, 4, 1],\n [2, 2, 3, -2],\n [0, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
794
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 3],\n [-2, -1, 3, -3],\n [3, 1, 2, 0],\n [-1, 4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
954
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, 2, 2, -1],\n [-3, -4, -1, 1],\n [1, -3, -2, -1],\n [-2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 3, 0, -1],\n [-3, 2, -1, 0],\n [-2, -3, 0, 3],\n [3, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
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, -3],\n [0, 1, 0, -1],\n [0, 0, 0, -2],\n [-3, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
948
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 1, 1],\n [0, 2, -2, -2],\n [1, -2, -1, -2],\n [1, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2350
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 3],\n [-1, -2, 1, -3],\n [-1, -3, -2, 2],\n [-2, 4, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -1, 0],\n [0, -2, 4, -2],\n [-1, 4, 1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2626
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 2],\n [0, 1, 2, -4],\n [-2, 2, 3, 0],\n [2, -4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1156
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -3, 2],\n [0, -2, 0, 3],\n [-3, 0, 2, 3],\n [2, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1283
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 0],\n [0, -1, 0, -2],\n [1, 0, -1, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
173
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -1, 0],\n [-2, -1, -2, 0],\n [-1, -2, 1, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2676
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 3, -1],\n [1, -1, -1, -4],\n [4, -1, 4, 0],\n [-4, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, -2, -1],\n [3, 3, -3, -1],\n [2, -1, -4, 1],\n [3, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1980
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, -4, -2, -2],\n [0, 4, -3, -1],\n [3, -3, 2, -2],\n [-3, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -3, -1, -2],\n [3, 0, -4, 4],\n [-1, 2, 1, 3],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-286
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, 4, -1, 3],\n [2, -3, -1, 1],\n [4, 3, 3, -2],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
157
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, 2, 0],\n [0, 1, -2, -2],\n [2, -2, -2, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, 1, 1, 4],\n [0, 1, -3, 4],\n [0, 4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -2, 1],\n [1, -1, 3, 3],\n [3, 2, 0, 4],\n [1, 4, -3, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-151
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -1],\n [0, 4, 2, 0],\n [3, 0, 1, -4],\n [0, 4, 1, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, -2, -2, 2],\n [-2, -4, 1, 1],\n [-2, 1, 2, 0],\n [2, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -3, 0],\n [2, 1, -3, -2],\n [-3, -3, 2, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-109
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -2, -2],\n [-2, -2, 2, 0],\n [-2, 2, 4, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11280
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[3, 0, -2, 0],\n [0, -4, -2, 4],\n [-2, -2, 4, 0],\n [0, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, -3, 4, 1],\n [4, 2, 3, 1],\n [3, 1, 1, -4],\n [-3, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 4],\n [2, 2, -3, -3],\n [2, 3, -4, 4],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1045
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, 2],\n [-4, -2, 0, -1],\n [3, 0, -4, 3],\n [-1, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1428
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, 1, 4],\n [-1, -3, 0, 1],\n [-1, -2, 4, 3],\n [1, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5644
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, -3, 0, -1],\n [-1, -4, 3, -1],\n [1, -2, -1, 3],\n [2, -4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -3, -1],\n [2, 0, 4, 3],\n [-1, 2, -1, 3],\n [-3, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 2, -3],\n [0, 0, 0, 0],\n [2, 0, -1, -2],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4963
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 2, 1, 0],\n [2, -3, 1, 0],\n [1, 1, 3, 1],\n [0, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
212
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, 4],\n [1, -3, -2, 0],\n [2, -2, -2, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5045
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -2, -3],\n [4, 4, -2, 1],\n [-2, -2, -2, 0],\n [-3, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2376
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 3, 2],\n [-4, -3, 1, 2],\n [0, 4, 2, -3],\n [4, 3, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 2, -3],\n [1, 3, 2, 2],\n [-4, 3, 2, -4],\n [-1, 2, 3, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 0, -2, 3],\n [3, -4, 2, 0],\n [4, -2, -2, -1],\n [-4, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 1, 0],\n [0, 0, 2, 2],\n [-3, -4, 0, 1],\n [0, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
414
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -2],\n [0, 4, 0, 2],\n [0, 0, 0, 3],\n [-2, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
699
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 0, 1],\n [2, -3, 2, 2],\n [0, 2, 0, 2],\n [1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4851
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, -4, 1, -4],\n [-3, -4, 0, 0],\n [1, 2, 4, 4],\n [-3, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-127
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -4, -2],\n [0, -1, -1, 4],\n [-4, -2, 3, -2],\n [-2, 1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-322
|
MATH
|
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