messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 1, -2],\n [0, 3, 0, 0],\n [1, 0, 2, 1],\n [-2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
230
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 3, -3],\n [0, -2, 0, -2],\n [3, -3, -3, -4],\n [-3, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1005
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -4, 0],\n [0, 3, -3, 3],\n [-4, -3, -1, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-543
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -1, 2],\n [-1, -1, 0, 1],\n [-1, 0, -3, 3],\n [2, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
140
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -1, -3],\n [-4, 0, -3, -3],\n [-2, 1, -3, 4],\n [-4, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1649
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 3, -3],\n [3, 4, 1, 4],\n [-4, -3, 2, -1],\n [1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1618
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, -3, -1],\n [-4, -3, 2, 1],\n [3, 1, -2, 1],\n [-3, 0, -1, -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, 4, 2, -4],\n [4, -3, -1, -2],\n [2, -1, -1, -2],\n [-4, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-362
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, -2, 4, -3],\n [4, 1, 3, -2],\n [-2, 3, 4, -4],\n [-2, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
141
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, 4, -3],\n [-2, -2, -2, -4],\n [3, -1, 0, -1],\n [0, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-2, 3, 3, 1],\n [3, 3, -2, -3],\n [4, -2, 3, 1],\n [1, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 1, 4, -2],\n [-1, 0, 0, -4],\n [2, -1, -3, 1],\n [-4, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 0, -1, 0],\n [0, 0, 0, 0],\n [-1, 0, 1, -4],\n [0, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, 3, 2],\n [-1, 1, -3, 2],\n [-3, -1, 2, 4],\n [-2, 0, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-3, 2, 1, 3],\n [2, 3, 0, 4],\n [1, 0, 4, 4],\n [3, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1001
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 1, 4, 4],\n [1, 4, -2, -2],\n [4, -2, -3, -3],\n [4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1304
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, -4],\n [0, -2, -1, -1],\n [1, 2, -4, 4],\n [3, 4, 1, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -3, 2, -2],\n [-3, 0, 2, 2],\n [2, 2, 2, 0],\n [-2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 4, -3],\n [1, -3, -4, -1],\n [-1, 4, -3, -2],\n [4, -4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4102
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, 4, 2],\n [0, -2, -1, -3],\n [-4, 1, -2, -3],\n [1, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-237
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1, 0],\n [1, 0, -4, 2],\n [4, 4, -4, 3],\n [-1, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
382
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, -3, 0],\n [1, 4, -1, 0],\n [-1, 1, -4, -3],\n [-4, -2, 3, -4]]\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 4th power of the matrix:\n[[-3, 2, 0, 2],\n [0, 0, -1, 4],\n [-3, -1, -1, 0],\n [4, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1684
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 0, 2],\n [0, 1, -2, 0],\n [0, -2, -2, 4],\n [2, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
177
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, -1, -2],\n [1, -3, 0, -1],\n [-1, 0, -3, -2],\n [-2, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
739
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, -2, 1],\n [-2, 4, 1, -3],\n [4, -3, 3, 4],\n [-2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, 4],\n [-1, 0, 3, -1],\n [-2, -1, -1, 0],\n [4, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
377
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, 2],\n [2, -4, 1, -2],\n [0, 1, -3, 2],\n [2, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 3, 2, 1],\n [-2, 1, 2, -1],\n [3, -2, -2, 3],\n [-1, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 0, 4, 3],\n [0, 0, -2, 2],\n [4, -2, 2, 0],\n [3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 3, 0],\n [1, 0, 3, 2],\n [2, -1, -2, 4],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
111
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 2],\n [-1, 3, 1, 0],\n [-2, 1, -1, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 0, 0],\n [2, -1, 0, -1],\n [0, 0, -2, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -4, 2],\n [3, -2, -1, -4],\n [-1, -1, -1, 0],\n [2, -2, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3839
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, -2, -3],\n [-1, -3, 2, 2],\n [0, -3, -4, -1],\n [0, 0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 4],\n [3, 1, -1, 4],\n [3, -1, -3, 0],\n [-1, 3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3682
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, -4, 2, 2],\n [2, 2, 2, 0],\n [1, 2, -4, 4],\n [2, -1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 0],\n [1, -2, -2, 0],\n [-2, -2, -3, -1],\n [0, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3187
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 2, 2, 0],\n [0, 2, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1505
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 1, -3],\n [0, -4, 1, -1],\n [2, -2, 2, -2],\n [0, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-378
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 4, -4, 2],\n [0, -1, 4, -4],\n [3, -4, -3, 1],\n [-3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[2, 2, 2, 2],\n [2, 1, -1, 1],\n [2, -1, -3, -2],\n [2, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 1, 2],\n [4, -3, 0, -3],\n [-4, 3, 1, -1],\n [2, -1, -4, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, -4],\n [3, -3, -4, 0],\n [0, -1, 2, -4],\n [0, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
722
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 3, -2],\n [1, 2, 2, -1],\n [3, 2, 3, 0],\n [-1, -2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5240
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2, 4],\n [2, -4, 0, -3],\n [2, 0, -1, 0],\n [4, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 2],\n [2, 2, -1, -2],\n [-2, -1, 0, -2],\n [2, -2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
434
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, 2, 0, 2],\n [2, 1, 0, 1],\n [0, 0, 0, -2],\n [2, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
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, 1, -4],\n [2, -1, 4, 4],\n [-2, 0, -1, -4],\n [4, -3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 0],\n [2, -1, 0, 0],\n [3, 0, -3, 3],\n [0, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4115
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -2, -3, 0],\n [-2, -2, 3, 0],\n [-3, 3, 3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-111
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -3, 0, 0],\n [0, 0, 1, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -2, -1],\n [-4, -4, -2, -2],\n [-2, -2, 4, 2],\n [-1, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20205
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, -2, -3],\n [1, 1, -4, -1],\n [4, -2, 2, 2],\n [0, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1975
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -3],\n [4, -4, 1, -4],\n [2, -2, -1, -4],\n [-1, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-456
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -2, -2],\n [2, -2, 2, 2],\n [-2, -2, 2, 0],\n [2, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, -3],\n [2, -1, 0, 3],\n [0, 0, -3, 0],\n [-3, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2, 0],\n [0, 2, 0, -2],\n [-2, 0, 3, 0],\n [0, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 0, -2],\n [1, 2, 0, 2],\n [0, 0, 1, 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"
}
] |
134
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, -1],\n [0, 4, -3, -4],\n [2, -3, -2, -2],\n [-1, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-440
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -1, -2],\n [2, 3, 2, -3],\n [0, 2, 2, 2],\n [2, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, 3],\n [-3, 1, 2, -4],\n [4, -4, -3, 3],\n [-1, -4, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2218
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0, -1],\n [2, 1, -2, 0],\n [0, -2, -3, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-343
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -2, 3, 0],\n [-2, 3, -3, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5911
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 1, -2],\n [0, 3, 2, 1],\n [1, 2, -1, 0],\n [-2, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
212
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 1, 4],\n [-1, 2, -3, 1],\n [4, -1, -1, 0],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
824
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -2],\n [-2, 1, 0, 0],\n [-2, 0, -4, 0],\n [-2, 0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
496
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 3],\n [0, -3, 4, 0],\n [2, 1, -4, -1],\n [4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17475
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -1, 2],\n [2, -1, 0, 0],\n [-1, 0, -3, 2],\n [2, 0, 2, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, -4, 1, 0],\n [2, 1, 2, -2],\n [0, 0, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -2, -2],\n [0, 2, -3, 0],\n [-2, -3, -2, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3790
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, -1, -4, 4],\n [3, 2, -3, 0],\n [0, -3, -3, 3],\n [3, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 0, -1, -2],\n [0, -2, 0, -2],\n [-1, 0, 0, -2],\n [-2, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
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, 1],\n [0, 4, 3, -2],\n [0, 3, 1, 0],\n [1, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5861
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 1, 4],\n [-4, 2, 3, -4],\n [3, -1, 2, 0],\n [-2, 4, 3, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-192
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 1],\n [2, 0, 0, -2],\n [-4, 3, 4, 3],\n [0, 2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
721
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, 2],\n [-1, -4, 1, -2],\n [-2, 1, 4, 2],\n [2, -2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2393
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, -1, 4],\n [-4, 0, 4, -2],\n [3, 1, 0, 3],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-162
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -2, 3],\n [0, 1, 0, 0],\n [-2, 0, 2, 2],\n [3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6193
|
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, -4, 2],\n [-3, 4, 4, 1],\n [4, -2, 2, 4],\n [3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1579
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 1, 0],\n [2, 3, -4, 0],\n [1, -4, -1, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1269
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, -2, -2],\n [3, 3, 0, 3],\n [3, -1, 0, 2],\n [-4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
238
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1, 2],\n [-2, 2, -1, 2],\n [3, 2, 2, 4],\n [0, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
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, 4, 0, 0],\n [-2, 0, -1, 1],\n [-3, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5106
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 0, 0],\n [2, 2, -1, 0],\n [0, -1, 1, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2282
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, -2, 0],\n [-4, -3, -2, 2],\n [-2, -2, 4, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9626
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 0, -3],\n [0, 4, 0, 1],\n [0, 0, 2, -2],\n [-3, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
378
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2, 0],\n [0, -1, 1, -1],\n [2, 1, 2, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
258
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 3, 2],\n [-1, -1, -4, -1],\n [1, -2, 4, 3],\n [1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
411
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, 2],\n [2, -2, 2, 0],\n [3, 2, -4, -2],\n [2, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1305
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 4, 0],\n [2, -3, 2, -3],\n [-4, -4, -2, -2],\n [2, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6248
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 3, -2, 2],\n [3, 2, 3, -1],\n [1, 0, -2, -1],\n [0, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
83
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 1, 1, 4],\n [4, 1, 0, -3],\n [3, -1, -4, -1],\n [2, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, -3],\n [1, 1, 4, -1],\n [-4, -2, 2, 3],\n [-4, -2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1078
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 0, -4],\n [2, 2, 0, 0],\n [0, 0, 1, -2],\n [-4, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -4, 2, -2],\n [-4, 3, 4, -3],\n [2, 4, 3, 0],\n [-2, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-220
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 4, 4, 2],\n [1, -3, -3, 3],\n [0, -3, 1, -4],\n [-3, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[4, 2, 3, 1],\n [-3, -4, 0, -3],\n [4, -2, 1, -2],\n [-4, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 0, -1],\n [0, -4, 4, -1],\n [0, 4, -4, 0],\n [-1, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9698
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, 2, -1],\n [-1, 1, 1, 2],\n [1, -1, 2, -1],\n [4, -4, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
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