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 (1, 2) of the result:\nA =\n[[3, -1, 0, -3],\n [0, 2, -3, -1],\n [3, 4, 3, -2],\n [-2, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -1],\n [-2, -4, -2, 2],\n [0, -2, 2, 0],\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"
}
] |
4482
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 1, -4],\n [0, -2, -2, 0],\n [1, -2, 4, 0],\n [-4, 0, 0, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 0, 1, 3],\n [2, 4, -1, 3],\n [4, 4, -2, -1],\n [0, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 4, 2],\n [-2, 4, 0, 2],\n [4, 0, -2, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1968
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-3, 0, -1, 2],\n [0, -1, 2, -2],\n [-1, 2, -2, 1],\n [2, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 0, -4],\n [4, 2, 2, -4],\n [0, 2, 3, -2],\n [-4, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24130
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, 0],\n [-2, 1, 2, 2],\n [0, 2, 3, -2],\n [0, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 2],\n [2, 3, 1, 0],\n [0, 1, 3, -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"
}
] |
6465
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 0, 0, 1],\n [0, -2, 1, 0],\n [0, 1, 3, 0],\n [1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 4, 0, -2],\n [4, -2, 2, 0],\n [0, 2, 1, 1],\n [-2, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 0, 4],\n [-2, 3, 2, -4],\n [3, -2, 2, -2],\n [-3, 0, 1, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, 2, 0],\n [1, -3, 2, 4],\n [2, 2, 0, -3],\n [0, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1717
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 3, 3],\n [-2, -3, 3, -3],\n [-3, 1, 1, -4],\n [-3, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-426
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 1, 4],\n [-1, -4, -2, -2],\n [-4, -4, 1, -2],\n [4, -4, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5479
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 0, -2],\n [-4, -4, 2, 4],\n [1, -1, -4, -3],\n [1, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-619
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, 2, -2, 2],\n [2, -2, 1, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2213
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -1, 0, -2],\n [-2, 0, -3, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-198
|
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, 0],\n [1, 2, -2, -1],\n [-4, -2, -2, -3],\n [0, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1705
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -2],\n [1, 1, 0, 0],\n [2, 0, 4, -2],\n [-2, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1346
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 2, -2],\n [-1, 3, -2, -4],\n [2, -2, 1, 2],\n [-2, -4, 2, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -1, -3],\n [2, 4, 0, 0],\n [-1, 0, 4, -2],\n [-3, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-437
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 2, 0, 2],\n [2, -3, 2, -3],\n [0, 2, 3, -1],\n [2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 1, -2],\n [-4, -1, -3, -3],\n [-2, 0, 0, 0],\n [2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-195
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -1, 0, 1],\n [-1, 2, -1, 2],\n [0, -1, 1, 0],\n [1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, -4],\n [-1, -1, -2, -4],\n [0, 2, -1, 4],\n [3, 1, -2, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 2, -2, 4],\n [0, -4, -2, -2],\n [0, -2, 0, -4],\n [-1, 2, -3, -4]]\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[[-3, 0, 0, 1],\n [2, 1, -1, -3],\n [-1, 3, -1, -2],\n [-4, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-432
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, -3, 0],\n [1, 3, -2, 4],\n [-4, 1, 4, -1],\n [1, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16418
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -3, 2],\n [3, -2, 2, 1],\n [-1, -2, 1, 4],\n [1, -3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3716
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -4, 2],\n [0, 1, 0, -2],\n [-4, 0, -4, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
881
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 2, -2],\n [3, 0, 0, 3],\n [2, 0, -1, 2],\n [-2, 3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9081
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, -1, 2, -1],\n [-4, 1, 1, 2],\n [3, -1, -1, 4],\n [-2, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
99
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, 1],\n [-4, -4, -2, -2],\n [0, 0, -3, 3],\n [0, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 2, 2, 0],\n [2, -4, 0, 0],\n [2, 0, 1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-728
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, -2, 0, -2],\n [-1, -1, 3, -4],\n [-1, -2, -4, 2],\n [-4, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, 1],\n [-2, -1, 0, -2],\n [-2, 0, -3, 1],\n [1, -2, 1, 2]], determine the sum of all entries.\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 (4, 4) of the result:\nA =\n[[2, 2, -1, 3],\n [2, -1, -4, 2],\n [-1, 2, -1, -1],\n [-3, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -3, -4],\n [1, 1, -2, -2],\n [2, 3, 1, -4],\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"
}
] |
6155
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, 3],\n [-4, 4, 4, -1],\n [3, -2, 4, 4],\n [0, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4708
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, -1, -4],\n [4, 3, -4, 1],\n [-4, 4, -2, -2],\n [1, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
732
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, 2],\n [0, -2, 4, -3],\n [0, 4, 0, 0],\n [2, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
717
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, 3],\n [0, -1, 0, -1],\n [-1, 0, 2, 3],\n [3, -1, 3, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -2, 0],\n [1, 1, 4, -1],\n [0, -2, -3, -3],\n [4, -3, 1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 2],\n [-3, 2, 2, 1],\n [0, 2, 4, 0],\n [2, 1, 0, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 2, -4],\n [-1, 4, 0, -4],\n [2, 0, 0, 4],\n [1, -4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-172
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 0, -2],\n [-1, -1, 0, -2],\n [0, 0, -4, 2],\n [-2, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, -1, 0, 2],\n [-1, 4, -2, 3],\n [0, -2, 4, -3],\n [2, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-161
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 0, -3],\n [-2, 2, -4, -4],\n [-1, -4, -1, 1],\n [0, -3, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1801
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [4, -2, 3, -3],\n [-2, 1, 1, 4],\n [0, -4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4401
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, -4, 0],\n [1, 1, -3, 3],\n [-4, -2, -2, 0],\n [-4, 1, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7618
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -2, -3],\n [-3, -3, 2, -4],\n [2, 3, -3, 4],\n [2, -3, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24544
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 4, 1, -2],\n [-4, -1, 0, 1],\n [1, -4, -3, -1],\n [2, 0, 3, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, -1, 2],\n [3, 4, -2, -4],\n [-1, -3, 0, -1],\n [0, 2, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0, 2],\n [2, 1, 2, -2],\n [0, 2, 4, -1],\n [2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
728
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, -4, -1],\n [1, -1, 4, -1],\n [3, -1, -4, 0],\n [-1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1933
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, -3, 1],\n [3, -4, -4, 2],\n [-1, 1, 4, -3],\n [4, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, -4, -1, 4],\n [3, -3, 2, -3],\n [4, -2, 1, 4],\n [3, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 3, -2],\n [4, 2, 3, 0],\n [-4, -4, 1, -3],\n [0, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-212
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 2, -2],\n [4, -1, 3, 3],\n [-3, 0, -2, 3],\n [1, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, -2],\n [0, 1, 2, 0],\n [0, 2, 3, -3],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
916
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 3, 2],\n [0, 1, -4, -4],\n [-3, -2, 3, -1],\n [2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1878
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 2],\n [1, -4, 2, -1],\n [0, 2, -2, 2],\n [2, -1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, 2, 2],\n [3, 3, -1, -3],\n [2, -1, 2, 0],\n [2, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[4, -4, 1, 1],\n [1, -3, -3, 2],\n [-2, 0, 3, 2],\n [4, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -4, 2],\n [2, 0, 0, 4],\n [-4, 0, 1, 2],\n [2, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1614
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -3, -2],\n [-2, -3, -3, 2],\n [3, -4, 3, 4],\n [3, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
639
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -2, 4],\n [1, -2, 0, -4],\n [-2, 0, 3, 1],\n [4, -4, 1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1225
|
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, 0],\n [3, 4, 0, -4],\n [3, 4, -4, 4],\n [-4, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13154
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, 3, -2],\n [-2, 0, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
337
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, 4],\n [-1, 2, -1, 0],\n [2, -1, -3, -1],\n [4, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4349
|
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, -3],\n [0, 1, 3, 0],\n [2, 3, -3, -1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
830
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -2, 3],\n [-1, 4, 0, 1],\n [-2, 0, 1, -2],\n [3, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
886
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -4, -4, -4],\n [-4, 4, -3, 4],\n [-3, 4, 0, -3],\n [0, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1179
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 0, -1, 2],\n [0, 4, -2, 2],\n [-1, -2, 2, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
820
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 4, 3],\n [2, 2, 1, -1],\n [-3, -3, 1, -1],\n [1, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1386
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, -2],\n [3, 0, 3, -2],\n [-1, 3, 1, 0],\n [4, 2, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, -1],\n [1, 0, 3, 4],\n [-4, 2, -3, 2],\n [3, -1, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1571
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -1, 0],\n [-1, 1, -2, 0],\n [-1, -2, 1, 3],\n [0, 0, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[3, -2, 3, 2],\n [-2, 2, -2, 0],\n [3, -2, 3, 3],\n [2, 0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
591
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 0],\n [0, -1, 2, 0],\n [3, 2, -4, 0],\n [0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, 0, -4],\n [-2, 4, -2, -3],\n [1, 2, 1, -2],\n [-3, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 3, -2],\n [0, 1, -4, 1],\n [2, -4, -3, -1],\n [-4, 4, 4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 3, 4],\n [0, -4, -1, -3],\n [-3, -2, 4, 4],\n [-4, 2, 0, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
500
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -2, 0],\n [2, 0, 0, -2],\n [-2, 0, 2, 3],\n [0, -2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-39
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 1, -1],\n [-2, -1, -3, 2],\n [-4, -1, 4, 0],\n [1, -1, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
447
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, -1, 2],\n [1, 2, 0, 3],\n [3, 2, -3, 0],\n [2, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 2, 2],\n [3, -2, 4, -3],\n [-1, 0, -1, 2],\n [2, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
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, -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"
}
] |
22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, 4, 1, 0],\n [3, 2, 0, 1],\n [0, 2, 0, -3],\n [-2, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -1, -1],\n [-3, 0, -2, 3],\n [-3, -4, 1, -2],\n [4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
179
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -4, -1],\n [1, 0, -4, -2],\n [-2, -4, -2, 2],\n [0, -2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5330
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 1],\n [0, -2, 0, 0],\n [0, 0, 0, 0],\n [1, 0, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, -1, -1],\n [-4, 4, -2, -4],\n [1, -3, 2, -1],\n [3, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1999
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-2, -2, 0, 0],\n [-2, 1, 0, -2],\n [0, 0, 1, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, -4, 2, 2],\n [-4, 2, 0, -3],\n [2, 0, -4, -2],\n [2, -3, -2, -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[[3, 4, -2, -2],\n [1, 3, 1, -4],\n [1, -4, 1, 4],\n [4, -4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7506
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, 1],\n [4, -1, -1, 1],\n [4, -3, 4, -4],\n [-2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9092
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 3, 0],\n [-2, -1, -1, -2],\n [3, -1, 0, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-178
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, -2, -1, 0],\n [-2, 4, -1, 2],\n [-1, -1, 2, 1],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
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