messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 2],\n [0, 3, 0, -2],\n [-2, 0, 4, -2],\n [2, -2, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-296
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[2, -2, -3, 0],\n [1, 2, -1, 1],\n [-1, -2, 1, -4],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-37
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, -2, -2, -3],\n [-2, -2, -4, -2],\n [0, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
284
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 0],\n [2, 4, 0, 2],\n [-2, 0, -3, 1],\n [0, 2, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
316
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 3, 0],\n [-3, -2, -2, 2],\n [3, -2, 4, 1],\n [0, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
579
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 3, 0],\n [-1, -3, -3, -3],\n [-2, 0, 0, 0],\n [3, -4, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
928
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 4, 2, 0],\n [4, 3, -1, -2],\n [2, -1, -2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-686
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1, -2],\n [-1, 2, 2, -1],\n [-1, -4, -1, -2],\n [-3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
290
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, 2, -1, -2],\n [1, 0, 0, -2],\n [-3, 4, 2, 3],\n [-3, -4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 2, -2],\n [-2, 2, 1, -3],\n [1, -2, 0, -1],\n [2, 3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, 2, 0],\n [-3, -4, -1, 0],\n [2, -1, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2989
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -3, 0],\n [1, -2, -3, -3],\n [-4, 3, -1, -3],\n [2, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1046
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 1, 0],\n [0, 4, 2, 1],\n [1, 2, -2, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1932
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, 4, -1],\n [-1, -4, 3, -1],\n [3, 1, -1, -3],\n [2, 1, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-230
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, 2, -2, 0],\n [2, 1, 3, 0],\n [-2, 3, 2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, 3, 2, -4],\n [-1, 3, 4, -1],\n [2, -2, -3, 3],\n [1, 4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-475
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -3, -3],\n [3, 3, -4, 1],\n [-2, -4, 4, -4],\n [-4, -3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21065
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -4, -4],\n [4, -1, 1, -3],\n [-4, 1, 1, 0],\n [-3, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1506
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[2, 3, 0, 3],\n [-1, 1, -1, 2],\n [2, 4, -1, -3],\n [1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 4],\n [-2, -2, 0, 0],\n [0, 0, 1, 0],\n [4, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1313
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -2, -2],\n [-2, 2, 0, 2],\n [-2, 0, 3, 1],\n [-2, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
818
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -3, -4],\n [2, -1, 3, -3],\n [-3, 2, -3, 2],\n [-2, -4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1570
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 4, 0, 4],\n [4, -4, 1, 2],\n [0, 1, 0, 2],\n [4, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13651
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, -2],\n [-4, 3, -2, -2],\n [-3, -2, 1, 1],\n [-2, -2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12331
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -1, 0],\n [2, 0, 2, -3],\n [-1, 2, 4, -1],\n [0, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, -2, -2],\n [-2, 2, 0, 0],\n [-2, 0, 4, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, 4, -1],\n [-2, 3, -3, 3],\n [1, 2, -2, 1],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, -1, 0, -1],\n [-4, 3, 2, 0],\n [4, 2, 1, 0],\n [1, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, 4, 3],\n [3, 3, 3, 3],\n [2, -1, 1, -1],\n [-3, -4, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-3, -1, -2, 2],\n [-2, 3, 2, 1],\n [-3, 2, 1, 0],\n [0, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
245
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -2],\n [2, 2, -2, -2],\n [0, -2, 0, 1],\n [-2, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8265
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, -4, 0],\n [-2, -4, 2, -1],\n [4, 1, 0, -2],\n [-4, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
756
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [2, -2, 4, -4],\n [2, 4, -1, -2],\n [-4, -4, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18510
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1, 0],\n [0, 1, 4, 0],\n [-1, 4, 1, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2686
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -2, -4],\n [0, 0, -2, -2],\n [-2, -2, -3, -4],\n [-4, -2, -4, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2100
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -2, -4],\n [1, -2, 0, 4],\n [0, 3, -3, 2],\n [-2, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
636
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 0, 4, 3],\n [-1, -4, 4, 1],\n [-4, -2, -4, 4],\n [-4, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-458
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -4, 1],\n [1, 3, 3, 2],\n [1, -1, 0, -1],\n [4, 0, -2, -1]], determine the value at position (3, 1).\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 (3, 2) of the result:\nA =\n[[3, -3, 4, -4],\n [0, -1, -3, 2],\n [1, 1, 2, 3],\n [-4, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
39
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 1, 3],\n [0, 4, 2, 2],\n [4, -3, -3, -2],\n [0, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5162
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 3, 4],\n [-2, -4, 4, 2],\n [2, 0, -4, -4],\n [-1, -2, -1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-760
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 3, 1],\n [1, -3, -1, 3],\n [-3, -3, -4, -3],\n [0, 3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
748
|
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, 0, -2],\n [-1, -2, 1, 0],\n [4, 3, -4, -4],\n [1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7530
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 1, -4],\n [-1, -2, 2, -1],\n [1, 2, -4, 2],\n [-4, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11901
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, -3],\n [4, -2, -3, 4],\n [-2, -1, 1, 3],\n [-4, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
187
|
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, 1, 0],\n [-2, -3, 0, 3],\n [1, 0, 1, 2],\n [0, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3158
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 2, 3],\n [-2, 2, 4, 2],\n [2, 4, -4, 1],\n [2, -2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1205
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -4, -2],\n [-2, -4, -4, -2],\n [-4, -4, -3, -2],\n [-2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4161
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, 0, -4],\n [-3, 3, 2, -4],\n [2, 2, -2, -1],\n [-3, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 0, 2],\n [-1, -1, -2, 2],\n [0, -2, -2, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, -4],\n [-4, 3, 1, 1],\n [2, -1, -4, 2],\n [4, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 1, 1],\n [2, 0, -2, 3],\n [1, -2, -2, 2],\n [1, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1111
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, -3, -1],\n [3, 0, -2, 2],\n [-3, 0, -3, 1],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
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, -2, 1],\n [-2, 2, 0, -2],\n [-2, 0, -2, -4],\n [1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1254
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 3, 0],\n [-2, 1, 0, 0],\n [3, 0, -2, 2],\n [0, 0, 2, -1]]\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[[-4, -1, -2, 4],\n [-2, -2, 3, 0],\n [-4, -2, -3, -4],\n [-4, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2402
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 1],\n [-4, 0, -4, 4],\n [-3, 2, -4, -3],\n [1, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
174
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, -2, 4, 3],\n [1, 3, 4, 0],\n [-4, 0, -1, 2],\n [3, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
183
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, -2, 4, -1],\n [-2, 0, -3, 2],\n [4, -3, 3, -2],\n [-1, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1200
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, -3, -2],\n [-2, 4, 0, 2],\n [-3, 0, 1, -4],\n [-2, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, -2, -2],\n [-2, 3, 0, -2],\n [-2, 0, 3, 1],\n [-2, -2, 1, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -2, -1, 0],\n [0, -1, 4, -2],\n [2, 0, -2, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 4],\n [-2, 1, 0, -2],\n [0, 0, 3, 0],\n [4, -2, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-882
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 0],\n [2, -1, 2, 0],\n [2, 2, 3, 1],\n [0, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
455
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, 3, 0, -2],\n [-2, 0, 0, -2],\n [-2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 1, -1, 1],\n [1, 3, -2, -4],\n [-1, 1, -4, 4],\n [0, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, -1],\n [0, 3, 2, -2],\n [2, 2, 0, -2],\n [-1, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1173
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, 0],\n [0, 2, 2, 0],\n [-2, 2, -4, -4],\n [0, 0, -4, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, -2],\n [0, 4, 0, -2],\n [4, 0, 1, -2],\n [-2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
417
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 2],\n [2, 2, 2, -2],\n [-2, 2, 2, 2],\n [2, -2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3149
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, -4],\n [-4, -2, 0, -1],\n [-4, 0, -4, 2],\n [-3, 4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
283
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, -4],\n [3, 1, 3, 0],\n [4, 1, -4, -1],\n [-2, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2797
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, -1],\n [0, 0, 0, 0],\n [0, 0, -3, 1],\n [-1, 0, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 0, -1],\n [-2, 4, 4, 2],\n [1, -3, -4, 1],\n [3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2119
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 4, -4, 4],\n [3, 4, 0, 0],\n [2, 1, 0, -3],\n [-1, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4092
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-2, 0, 3, 1],\n [1, -1, 2, 3],\n [-3, -1, 2, 3],\n [0, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
27
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[1, 0, -1, -3],\n [4, 4, 1, -3],\n [-3, -2, 4, 3],\n [4, -3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-119
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 1, -1],\n [0, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
151
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 4, 4],\n [4, -4, -1, 3],\n [0, 2, -1, -2],\n [-4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1024
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -2],\n [-2, 4, 2, 0],\n [0, 2, 3, 2],\n [-2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
309
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, -2],\n [2, 1, 0, 4],\n [0, 0, -4, 0],\n [-2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3010
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 0, 0, 2],\n [0, -2, 1, 2],\n [0, 1, 1, 1],\n [2, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, 0],\n [-1, -1, -4, 3],\n [1, -4, -2, 2],\n [0, 3, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1579
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 4, 0],\n [2, -3, 4, 0],\n [-4, -1, 2, 1],\n [-1, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -4, -3, -3],\n [-3, -4, 0, -3],\n [4, -1, 3, -4],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-25
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -1],\n [0, 1, -1, 1],\n [-2, -1, 1, 0],\n [-1, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 0, -3],\n [-2, 4, 2, 3],\n [-4, 0, 0, 3],\n [-3, -4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3168
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
319
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -1, 4, 2],\n [-2, 2, 0, 2],\n [-2, 3, 3, 1],\n [0, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -1, -1],\n [-4, -3, 4, -3],\n [-2, 2, 2, 0],\n [-2, -4, -1, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2530
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, 3, 4],\n [-2, -3, 0, -3],\n [2, 4, 1, -4],\n [4, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-546
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, -2, 2],\n [-2, -4, -2, -1],\n [-2, -2, -2, 2],\n [2, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10327
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 4, 0],\n [-2, -4, 1, -2],\n [4, 1, -2, 1],\n [0, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-290
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 0, 3, 0],\n [3, -4, 3, 3],\n [-4, -4, 0, 4],\n [-3, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2, -1],\n [0, -2, -1, 0],\n [3, -4, 2, -3],\n [0, 4, -2, -4]]?\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 absolute values of all entries of the result:\nA =\n[[-4, 0, 2, -2],\n [0, -3, -1, -3],\n [2, -1, -3, 0],\n [-2, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1115
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[1, -2, 4, 1],\n [-2, 0, 1, 0],\n [4, 1, -1, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
217
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 4, 2, 0],\n [4, -4, 0, 2],\n [2, 0, 3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-240
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 4, 2],\n [-4, 3, 4, 2],\n [-1, 2, 2, -1],\n [0, -4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
102
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, 2, -3, 0],\n [2, 0, -2, -1],\n [-3, -2, 1, 0],\n [0, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
313
|
MATH
|
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