messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, 1],\n [2, 1, 3, 1],\n [-2, 3, 0, -2],\n [3, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
293
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -3, 1],\n [2, -4, 1, -3],\n [-4, 0, -3, 2],\n [3, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20108
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -4],\n [-2, -3, 2, 4],\n [2, 2, 2, 2],\n [-4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0, 1],\n [-3, -4, 0, 2],\n [0, 0, 3, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-321
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, -2],\n [4, -4, 4, -4],\n [3, -2, -3, 2],\n [-2, 1, 0, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 2],\n [2, 2, 3, -3],\n [2, 3, -2, 0],\n [2, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5393
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, -4, 1],\n [-3, -2, -3, -2],\n [0, 1, -1, -4],\n [4, 0, 2, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 2, 0, 1],\n [2, -1, -2, -2],\n [0, -2, -2, 4],\n [1, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, 4, 1, -1],\n [0, 1, 0, 2],\n [-2, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 1],\n [-1, 3, 2, 0],\n [0, 2, 3, -2],\n [1, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, -4],\n [-1, -4, -2, 3],\n [1, -3, 1, 3],\n [1, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1686
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 3, -4],\n [3, -4, -2, 3],\n [1, -4, -2, -3],\n [1, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -3, -3],\n [4, 2, 3, -2],\n [4, 3, 2, 4],\n [-2, -1, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-914
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 2, 2],\n [-2, 4, 2, -1],\n [4, -1, -1, -4],\n [-2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, 1, -1],\n [0, 0, 2, 2],\n [1, 2, 4, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
187
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 3, 4],\n [4, -1, -3, 4],\n [2, 3, -1, 2],\n [-4, 2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1186
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, 1, 0],\n [0, 1, -1, 2],\n [1, -1, -2, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [1, 4, 1, 1],\n [1, 0, 3, 1],\n [0, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[4, 0, 0, -1],\n [0, 2, -2, 1],\n [0, -2, 2, -1],\n [-1, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-179
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -1],\n [-1, -3, 1, 0],\n [0, 1, -3, -1],\n [-1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1285
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -1, 2],\n [2, 0, -2, 0],\n [-1, -2, -3, 1],\n [2, 0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1230
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, -2, -1],\n [0, -4, 1, 1],\n [2, 4, -4, 3],\n [4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1347
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, 0, -4],\n [2, 1, -2, 1],\n [0, 4, -1, 4],\n [-1, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
309
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [-2, 4, 1, 0],\n [0, 1, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
828
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -1, -1],\n [0, -3, 0, 2],\n [-1, 0, 3, 2],\n [-1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 0, 3, -3],\n [-1, -4, -1, 0],\n [-4, 3, 0, 0],\n [-3, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-189
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -1, 1, 4],\n [2, 2, -3, 0],\n [-1, -1, 0, 2],\n [0, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, -3, 0, -4],\n [0, 0, 1, -2],\n [2, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2658
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, -1, 2, 2],\n [-1, -4, 0, 2],\n [2, 0, 3, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 0, -1, 0],\n [0, 2, -3, 2],\n [-1, -3, -3, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 4, 3],\n [3, -1, 1, 4],\n [2, -2, 3, 2],\n [-3, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -4],\n [0, 1, -3, -3],\n [-2, -3, 4, -1],\n [-4, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4233
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, 2, 0],\n [1, 2, 2, -1],\n [2, 2, 1, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
205
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 2, -2],\n [4, 1, 1, 2],\n [-4, 2, 3, 3],\n [-3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, -1],\n [-2, -4, 2, -2],\n [0, 2, -2, 1],\n [-1, -2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4681
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 2, -3],\n [-3, 4, -2, -1],\n [2, 1, -3, 4],\n [-4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1185
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 0],\n [0, -2, 1, 0],\n [1, 1, -3, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
159
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -3, -3],\n [1, 3, -2, -3],\n [-3, -4, -3, 4],\n [-1, -2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4966
|
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, 0, -2],\n [0, 1, 4, -2],\n [0, 4, 2, 2],\n [-2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3034
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 3, 3],\n [-3, -1, 3, -2],\n [-4, -3, 2, -4],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2392
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 2, 0],\n [4, -4, 3, -4],\n [1, 4, 0, 0],\n [3, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, 0, 0, 2],\n [0, 4, 2, 0],\n [0, 2, 3, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, 0, -4, 3],\n [-3, 4, -4, 2],\n [-4, 4, -1, -2],\n [-1, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 2, 2],\n [3, -2, 2, 0],\n [2, 2, 4, -2],\n [2, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1431
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -3, 0],\n [-4, -4, 1, -2],\n [4, 0, 3, 4],\n [-1, -1, 3, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 3, -4],\n [2, 3, 4, 4],\n [-3, 2, 4, -1],\n [3, -1, -1, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, -1],\n [2, 0, 4, 0],\n [-1, 3, 4, 1],\n [-2, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6509
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 1, 3],\n [1, 4, -2, -4],\n [4, -2, 2, -2],\n [-3, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-231
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 1],\n [2, -4, -4, -1],\n [4, 4, -1, 1],\n [-1, -1, 3, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-47
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 1, -4],\n [1, 3, 3, -4],\n [-3, -1, -4, -1],\n [2, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1516
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, 2, 4, 2],\n [-3, -1, 4, 1],\n [-1, -4, -4, 4],\n [1, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 1, -4, 3],\n [0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
145
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 0],\n [-1, -3, 4, -3],\n [-2, 0, -2, -4],\n [1, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -4, 2],\n [0, -2, -1, 0],\n [3, -1, 0, 4],\n [4, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
755
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -3],\n [1, -3, 2, 1],\n [-4, 2, 3, 2],\n [-3, 1, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, -4, -4, 2],\n [-4, 2, 0, -2],\n [-4, 0, 1, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-512
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -3],\n [1, -3, -2, 0],\n [2, -2, 3, 0],\n [-3, 0, 0, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -1, 1],\n [3, -3, 1, 0],\n [4, -4, -3, 4],\n [2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
612
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 4, -1],\n [3, -1, 3, -4],\n [-1, 0, 0, 1],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, -1, -3],\n [3, -4, 4, 4],\n [-1, -4, 1, 2],\n [-3, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
870
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, 4],\n [3, 4, -1, 3],\n [0, -1, -2, 0],\n [4, 3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1130
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, -1, 3],\n [0, 3, -4, 3],\n [-3, 4, 4, 1],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-105
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, 3],\n [0, -1, -3, -3],\n [-3, -4, 4, 0],\n [1, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 4, -4],\n [4, 3, 1, 0],\n [-2, 4, 2, 0],\n [0, -4, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1176
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -3, 0],\n [-4, -3, 1, 3],\n [0, 0, 1, -3],\n [1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
463
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, 0],\n [-1, -2, -4, 0],\n [1, -4, -4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
802
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 0],\n [-2, 4, 0, 2],\n [-3, 0, -1, -4],\n [0, 2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3448
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, -2, -2, -4],\n [0, -1, 3, -4],\n [-1, -1, -2, -1],\n [-3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 4, 0],\n [2, 0, -2, 0],\n [4, -2, 3, 4],\n [0, 0, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5837
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -1, 2, -1],\n [-2, 1, -4, -2],\n [0, 3, 0, 0],\n [-3, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 1, -4],\n [1, -2, -3, -2],\n [-3, -4, -1, 1],\n [3, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1255
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 3],\n [-2, 4, 0, 3],\n [1, -1, 2, 1],\n [2, 3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
838
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 1, 3, -4],\n [-2, -4, 0, 4],\n [-2, -4, 4, -3],\n [3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-71
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, 2, 2],\n [-1, -2, 4, -2],\n [-2, 3, -2, -1],\n [-3, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3627
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 3],\n [-4, 4, 4, 4],\n [1, 1, -1, 0],\n [3, -2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
564
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 3, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0, -3],\n [0, 3, -4, -4],\n [0, -4, -1, 0],\n [-3, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-432
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 0],\n [-1, 4, -3, 3],\n [0, -3, 4, 0],\n [0, 3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 3, 3],\n [-4, 4, 0, 3],\n [2, 2, 0, -3],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3129
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-1, -1, 0, 1],\n [-1, -2, 1, 0],\n [-2, 4, 0, 3],\n [-4, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, -1, -1, 0],\n [-1, 0, -3, -2],\n [-1, -3, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0, 0],\n [-3, -1, -4, -1],\n [0, -4, -1, -4],\n [0, -1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13867
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -3, -1],\n [2, 4, -2, -1],\n [-3, 2, 1, -2],\n [-3, 3, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 2, -2, 0],\n [0, -2, 3, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, -4, 2, -2],\n [0, 2, 0, -2],\n [2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-270
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -1],\n [-2, -1, 2, 2],\n [-1, 2, 1, 4],\n [-1, 2, 4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, -4, -3],\n [-1, -3, 3, -4],\n [-1, 4, -4, -2],\n [4, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2033
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 3, -1],\n [0, -2, 1, 1],\n [0, 1, -4, 1],\n [3, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
601
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, -1],\n [-3, 4, -2, 2],\n [2, -2, -1, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1487
|
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, 0, -2],\n [1, 1, 0, 1],\n [0, 0, 3, -3],\n [-2, 1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2626
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -2, 2],\n [3, 2, 0, -2],\n [-2, 0, 4, 1],\n [2, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -3, 1],\n [-2, 0, 0, -4],\n [2, -4, -1, 2],\n [0, 4, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
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, 0],\n [0, -3, -1, 2],\n [-2, -1, 3, -3],\n [0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1007
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 2, -2],\n [3, 0, 1, 0],\n [-4, 3, 4, -2],\n [0, 3, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
542
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 2],\n [-2, -3, 0, 2],\n [0, 0, -1, 2],\n [2, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
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 [4, -4, 0, 1],\n [1, 4, 3, -3],\n [0, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1288
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, -2, 0],\n [-2, -4, -1, -3],\n [-3, 1, -2, -1],\n [-3, -3, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 1],\n [3, -3, 0, 4],\n [-1, 4, -1, 4],\n [2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8212
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 3, -1],\n [2, -4, 1, 3],\n [-2, 1, 0, 4],\n [2, -1, 0, 2]]\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 all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, 1, -1, -1],\n [2, -1, 0, -1],\n [0, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
165
|
MATH
|
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