messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, -3, 2, -2],\n [-3, 1, -4, 2],\n [2, -4, -2, 2],\n [-2, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, 3, -1],\n [-2, 4, -4, -4],\n [-3, 4, 1, 3],\n [-2, 2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1544
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, -4, -1, -1],\n [-4, 2, 2, -1],\n [-1, 2, -2, -4],\n [-1, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 4, 1],\n [4, -4, 2, -1],\n [3, 0, -2, -1],\n [-1, -3, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 1],\n [0, -2, -1, 0],\n [0, -1, 2, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -2, -1, 1],\n [-2, 2, -2, 0],\n [-1, -2, 4, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 0, -3],\n [-2, 3, -4, 2],\n [-2, 0, -1, 4],\n [-2, 4, 0, 2]]?\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, 4, 4, 3],\n [4, 2, -4, 1],\n [1, 3, 4, -4],\n [1, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11104
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -3, -3],\n [-3, -2, -1, 3],\n [0, -4, 3, 3],\n [1, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
693
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 3, -2, 3],\n [2, 2, 3, 3],\n [-1, 0, 3, -1],\n [1, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 1, 0],\n [-2, 1, 2, 0],\n [1, 2, -4, -2],\n [0, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3679
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 0, -3, 0],\n [0, 0, 2, 0],\n [-3, 2, 2, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 0, -1, 2],\n [0, -1, 1, -2],\n [0, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, -3, -1],\n [-1, -4, -1, 2],\n [-2, 1, 3, 4],\n [2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
705
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -1, -1],\n [1, 2, -1, 0],\n [-1, -1, -2, -4],\n [-1, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2824
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 0],\n [-2, 1, 0, 3],\n [-2, 0, 2, 2],\n [0, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
187
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, 3, 3],\n [-4, 3, 2, 3],\n [1, 4, -1, 0],\n [-4, -4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-136
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 3, -4],\n [-4, -4, 4, 1],\n [4, -2, 4, 0],\n [3, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4560
|
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, -3, 2],\n [0, -1, 3, 2],\n [-3, 3, -2, -2],\n [2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6361
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, 2],\n [-1, 1, 0, -1],\n [0, 0, 4, -2],\n [2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, -4, 2, -1],\n [0, 2, 2, 1],\n [0, -1, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 1, 1, 1],\n [0, 1, 2, 0],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 3, 0, 1],\n [4, 1, 4, 0],\n [3, 1, 1, 2],\n [-2, 0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 4],\n [2, 4, 1, -1],\n [2, -3, 2, -4],\n [-1, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1583
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, 2, 0, 1],\n [-1, -4, 3, -3],\n [-4, 2, 3, 0],\n [2, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-532
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, -2, -1, -1],\n [-2, 4, 1, -3],\n [-1, 1, 1, 4],\n [-1, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-379
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, -3, -2, 1],\n [0, 4, -3, -2],\n [-3, -3, -1, 3],\n [1, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2170
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 0, 4],\n [3, -4, 3, 2],\n [2, 4, 0, 3],\n [2, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2033
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 2, 0],\n [0, -2, 2, 1],\n [2, 2, 3, 0],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -1, 0],\n [-3, 0, 0, -1],\n [-1, 0, -3, -2],\n [0, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4405
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 3, -1, -2],\n [3, -4, 0, 2],\n [-1, 0, 2, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, 2, 4],\n [-1, -1, 0, 3],\n [3, 3, -4, -1],\n [-1, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
846
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, -2, -3, 2],\n [-4, 2, 2, 4],\n [-4, 4, -3, -4],\n [-2, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
96
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, -1, -1],\n [4, 2, -1, -1],\n [-2, 0, -2, -1],\n [-1, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, -2, 0],\n [3, 2, -2, -1],\n [2, -1, 1, -2],\n [0, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
190
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2, 2],\n [0, -4, -1, 2],\n [-2, -1, 3, -2],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1169
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, -1, 3, -3],\n [-1, 0, 0, 0],\n [3, 0, 1, -3],\n [-3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 3, -4],\n [0, 4, -4, -2],\n [-4, -3, -1, 0],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1390
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 4],\n [-2, 0, 2, 0],\n [0, 2, 3, -1],\n [4, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
709
|
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, 0],\n [2, -2, 0, 0],\n [-2, 0, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3312
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, 4, 2],\n [1, -3, -2, 3],\n [1, -2, 3, -4],\n [0, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
646
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 1, -2, -2],\n [1, 2, 1, -2],\n [-2, 1, -2, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, -3, 2],\n [-3, -1, 3, 3],\n [-2, -2, -4, -1],\n [1, -4, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
195
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, 3, -1, 2],\n [-2, -1, -4, -2],\n [-2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6770
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -2, 0],\n [-2, -4, 0, -4],\n [-2, 0, 0, 0],\n [0, -4, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7946
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, -2],\n [1, -4, 1, -4],\n [3, -2, -3, -4],\n [-4, -2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1092
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -2, 2],\n [1, -1, -3, 1],\n [2, 4, -4, -3],\n [-4, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
936
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, 3],\n [4, 3, 2, 3],\n [0, -2, 4, 0],\n [-4, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-305
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[1, 3, -4, 3],\n [3, 3, 2, 0],\n [-4, 2, 0, 1],\n [3, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
464
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, -3, -2],\n [-1, -1, -4, -3],\n [2, 3, 4, 3],\n [3, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5866
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -4, 2, 2],\n [-4, -1, 2, 0],\n [2, 2, 4, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4255
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -4, -2, 0],\n [-4, 4, 1, 0],\n [-2, 1, 2, 0],\n [0, 0, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, -4, -3],\n [4, -1, 3, -3],\n [-1, -3, -3, 1],\n [-4, 4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-312
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -1, 0],\n [-1, 2, 3, -3],\n [-3, 4, 2, 3],\n [0, 3, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3064
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, -2, -4],\n [3, -2, 1, -1],\n [-4, 4, -3, -3],\n [-4, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-143
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 1, -4, -4],\n [2, 4, 4, 4],\n [3, -3, 0, -3],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
86
|
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, 1, -3, -1],\n [1, -1, 1, -2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, 2, -1],\n [1, 3, 1, 4],\n [3, -4, 3, -1],\n [4, 1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1787
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 1, -3, 0],\n [2, -3, -4, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 2, 1, 2],\n [2, -4, 0, -2],\n [1, 0, 3, -1],\n [2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
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, -2, -1, 3],\n [-2, -1, 2, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
495
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 3, -4],\n [-4, -2, 2, 2],\n [3, 1, 4, -2],\n [-1, -3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2117
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -4, -4, -1],\n [-4, 0, 4, 4],\n [0, -2, 0, -2],\n [1, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
992
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 3, -3],\n [-1, -1, -1, 0],\n [-3, 1, 0, -2],\n [-4, -1, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
361
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -2, 1, 2],\n [-2, 1, 2, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
841
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 4, 4],\n [4, -1, -1, 2],\n [3, 3, 4, -2],\n [-1, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6572
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, 4],\n [0, -3, 0, 4],\n [-2, 4, 0, 0],\n [-2, 2, -1, 1]]?\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 [-2, -3, 0, -2],\n [4, -2, -2, -4],\n [3, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-117
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, -3, 0, -4],\n [1, -3, 1, -1],\n [0, -4, -4, -2],\n [4, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -2],\n [-2, -3, 2, -2],\n [2, 2, -3, -1],\n [-2, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-756
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[4, 0, -4, -4],\n [3, 0, 0, 0],\n [1, -4, 2, 0],\n [-2, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -2, 2, -2],\n [-2, 3, -1, 0],\n [2, -1, 0, 2],\n [-2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 0, 2],\n [3, -3, 2, -1],\n [0, 2, -4, 1],\n [2, -1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
703
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -4, -4, 0],\n [-2, -2, 2, -1],\n [-2, -3, -4, 1],\n [-1, 4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, -2, 4, -4],\n [3, 4, 2, -2],\n [-2, 4, -3, 0],\n [-3, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -3, 2],\n [-4, 3, 2, 2],\n [-3, 2, 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"
}
] |
990
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -1, -3],\n [4, -3, -3, 1],\n [3, -4, 3, -1],\n [3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-402
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -4, 2],\n [-3, 4, -2, 4],\n [4, 2, 1, 4],\n [-1, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5660
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 4, -2],\n [-3, 1, 1, -3],\n [4, -3, -1, -4],\n [-3, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4113
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 2, -4],\n [1, 4, -1, 0],\n [2, -1, -1, 0],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
537
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 0, 2],\n [3, -3, 4, 0],\n [0, 4, -1, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6774
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, 3],\n [-1, 3, 1, 0],\n [0, 1, -2, 0],\n [3, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2236
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, -3, 0],\n [1, 1, -1, 0],\n [-3, -1, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1287
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 2],\n [-1, 4, 0, 3],\n [0, 0, -2, 0],\n [2, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4601
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 3, -3],\n [3, -3, -4, -4],\n [-4, -2, -2, -1],\n [-3, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12850
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 0, -1],\n [1, -1, -1, 0],\n [0, -1, 4, 0],\n [-1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [0, 1, -4, 3],\n [-1, 4, -1, -3],\n [1, 4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2620
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 2, 0],\n [1, -3, 4, 1],\n [2, 4, -1, -2],\n [0, 1, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, -4, -3, 0],\n [-1, -3, 3, -4],\n [4, 0, 4, 4],\n [-2, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
388
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, -2, 4],\n [-3, 1, 2, 2],\n [-3, 0, 2, -3],\n [-3, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13644
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -1, -2],\n [-2, -1, -2, 3],\n [-1, -2, -2, -1],\n [-2, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2470
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, -1],\n [-2, -2, 4, 1],\n [2, 4, -3, 2],\n [-1, 1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 0, -1, -1],\n [0, -3, 0, 2],\n [-1, 0, -4, 4],\n [-1, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -3, 1],\n [2, -4, 3, -4],\n [0, 2, 3, -4],\n [2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3329
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-2, 1, 1, 0],\n [-4, -3, -1, -2],\n [-3, -2, 1, -4],\n [1, 4, 0, 1]]\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^4 where A is:\n[[-1, 0, 2, -2],\n [0, -3, -2, 0],\n [2, -2, -1, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3003
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -1],\n [-2, -1, -1, 3],\n [0, -1, 2, 0],\n [-1, 3, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1241
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, 0, -1, -2],\n [0, 1, 1, -2],\n [-1, 1, 0, -1],\n [-2, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-79
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, -4, 0, -1],\n [-2, -2, -1, -3],\n [0, -4, -3, 2],\n [-1, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
640
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, 1],\n [0, -1, 2, 2],\n [2, 2, -2, 0],\n [1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-19
|
MATH
|
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