messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 1, -2],\n [2, -2, -2, 0],\n [1, -2, -2, 0],\n [-2, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
517
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -1, 2],\n [-1, 2, 0, -1],\n [-1, 0, -3, 1],\n [2, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1043
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, 0],\n [1, 0, 0, 0],\n [-1, 3, 4, 1],\n [-1, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1012
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 2, -4],\n [-2, 1, -3, 3],\n [1, 0, 3, -1],\n [-1, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -2, -1],\n [1, -3, 2, 1],\n [-2, 2, 1, 1],\n [-1, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 3, 1],\n [-2, -3, 0, 1],\n [3, 0, 1, 3],\n [1, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 4, 3],\n [3, -4, -3, 4],\n [1, -2, 1, 2],\n [2, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5766
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, -2, 3],\n [1, -4, 2, -3],\n [-4, -1, -4, 4],\n [4, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1839
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 2, -2],\n [0, -1, -3, 3],\n [-1, 0, 3, -4],\n [-2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 4, 2],\n [0, 1, -3, 3],\n [0, -4, -1, 2],\n [-4, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
746
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 3, 0],\n [-1, -3, 1, 2],\n [3, 1, -3, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 2],\n [-2, -3, -2, 1],\n [0, -2, 3, -2],\n [2, 1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-142
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, -2],\n [3, -3, -4, 0],\n [-3, -3, 3, -4],\n [-4, 1, 2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-71
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -3, 3],\n [-2, 0, 2, 2],\n [-3, 2, -3, -3],\n [3, 2, -3, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, -1, -2, 0],\n [-2, 2, 3, 0],\n [4, -4, -4, -2],\n [-3, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-165
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 4, -4],\n [0, 2, 3, -2],\n [-2, 4, 1, 2],\n [-3, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
842
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -3, -1],\n [2, -1, 0, 4],\n [-1, -1, 4, 3],\n [-2, -2, 1, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
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, -1, 2],\n [2, 3, -2, -3],\n [-1, -2, -1, -4],\n [2, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1772
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -1, 0],\n [0, 0, -4, 0],\n [-1, -4, 4, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6348
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 0],\n [-3, -1, -1, 0],\n [0, -1, -3, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1675
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, -4, -2],\n [-1, 0, -2, -2],\n [-4, -2, -4, 2],\n [-2, -2, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 4, 3],\n [-2, -1, -3, 0],\n [1, 1, 4, 4],\n [1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
934
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 4],\n [0, 2, -3, -1],\n [0, -3, 0, 2],\n [4, -1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
633
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2, 0],\n [-2, 2, 0, -2],\n [2, 0, -1, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 4, -4],\n [-4, -3, 1, 4],\n [-4, -4, -4, 1],\n [0, -4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4985
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 3, -3],\n [-4, -4, -3, 4],\n [-3, 1, 4, 0],\n [3, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1066
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 2, 2],\n [-3, 2, 4, 1],\n [2, 4, 4, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
816
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -2, 1],\n [1, -3, -1, -4],\n [4, -1, 0, -2],\n [4, -1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
702
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 0],\n [0, -2, 0, 0],\n [0, 0, 1, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 3, 4],\n [-3, 0, -2, 1],\n [-2, -1, -3, 4],\n [0, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1085
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, -4, 1, 2],\n [-4, 2, -2, 0],\n [1, -2, -4, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, -1, 2, 3],\n [2, 3, 2, -2],\n [3, 0, -2, -1],\n [0, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, -2, -3],\n [0, 0, 0, 0],\n [-2, -3, 3, -3],\n [4, 4, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -4, 3],\n [-3, 2, 3, 2],\n [0, -1, 3, 1],\n [-3, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 2, 1, -1],\n [2, -4, -2, 1],\n [1, -2, 4, 0],\n [-1, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, 4],\n [2, -4, 0, 1],\n [4, -4, 3, -2],\n [4, 2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, -2],\n [-3, 2, 2, -4],\n [-2, -2, 4, 1],\n [2, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1427
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, -3, 1, -1],\n [3, 3, 1, 4],\n [3, -3, -4, -3],\n [-2, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-93
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, -4, 1],\n [-1, 1, -4, -4],\n [-1, 4, 1, 0],\n [1, 4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-305
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 2, 2, -3],\n [-4, 2, -2, 1],\n [2, 3, -1, -2],\n [0, -2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-91
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -3, 1, -1],\n [0, 4, -4, -4],\n [2, 3, 3, 3],\n [3, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-255
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, 0, -2, 3],\n [1, 4, 4, -1],\n [-1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2, 3],\n [0, 3, 4, 0],\n [-2, 2, 1, 2],\n [-1, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2862
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, 0, -2],\n [-3, -4, 2, 2],\n [0, 2, -2, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
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, 1, 0],\n [0, 4, -1, 1],\n [1, -1, 3, 0],\n [0, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
389
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -3, 4],\n [3, 1, -1, 4],\n [2, 1, 4, -1],\n [-4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1081
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -4, -4],\n [1, 2, 4, -4],\n [0, 0, 1, -4],\n [-4, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1433
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, -4, -2],\n [4, 0, 4, 2],\n [-3, 0, 4, -2],\n [-4, 3, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -2, 0],\n [1, -1, 0, 0],\n [-2, 0, -1, 3],\n [0, 0, 3, 0]], determine the value at position (2, 3).\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^3 where A is:\n[[1, 0, 0, -1],\n [0, -3, 0, 1],\n [0, 0, 3, 0],\n [-1, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -3, 0],\n [-2, 4, 0, 0],\n [-3, 0, 2, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
562
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 1, 2],\n [1, 0, 0, 3],\n [2, -1, 2, -2],\n [-4, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3907
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 1, -3, 0],\n [2, -3, -3, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 2, -1],\n [-4, 3, -2, -4],\n [0, 1, -3, -4],\n [2, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1064
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [0, -4, -1, 2],\n [0, -1, 1, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, -1, 0, 1],\n [-4, 3, -2, 0],\n [3, 2, -1, 2],\n [1, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
57
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 0, -1, 0],\n [0, -4, 2, -2],\n [-1, 2, 1, 0],\n [0, -2, 0, -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[[4, 2, -1, -2],\n [0, 1, 4, -3],\n [4, 2, -2, 3],\n [3, 0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
513
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 3, -4],\n [1, -4, 0, -2],\n [-4, -1, 2, -1],\n [-4, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1028
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, 0, 2, 0],\n [2, 2, -1, 0],\n [0, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, -2, -4, 1],\n [4, 3, -4, 2],\n [2, -3, -1, -4],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-55
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 0, -3],\n [2, 0, 3, -2],\n [3, 0, -4, 3],\n [1, -4, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
905
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 3, 2],\n [2, 3, -2, -4],\n [4, 3, 1, -2],\n [1, 0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 1, 0],\n [0, -1, -2, -4],\n [1, -2, 3, 0],\n [0, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
658
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 2, 0],\n [-2, -2, -3, 4],\n [-1, -2, 3, -4],\n [2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
595
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 2, -2],\n [1, -2, -2, -4],\n [2, -2, -2, -1],\n [-2, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-468
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 4, -2],\n [1, -4, -2, -1],\n [2, 2, 3, 2],\n [2, 0, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1306
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, 4, 1, -1],\n [-2, -4, 0, 4],\n [-4, 3, 0, 0],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 2, -2],\n [-2, 2, 3, 0],\n [2, -2, 2, 3],\n [3, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1436
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 3, 0, 1],\n [1, -2, -3, 3],\n [0, -3, 4, 3],\n [4, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-159
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -1, 0],\n [0, 4, 2, 0],\n [-1, 2, -4, -1],\n [0, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2064
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, -2, 0, 0],\n [-1, 1, -1, 0],\n [-4, 4, 1, 0],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, -4, 0],\n [-2, 4, 2, 0],\n [-4, 2, 1, -4],\n [0, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11254
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -3, 3, 0],\n [-3, 2, -4, -4],\n [-2, 4, 4, 0],\n [-4, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, 4, -3, 3],\n [3, 2, 1, -3],\n [0, 2, 3, -4],\n [3, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, -2],\n [-2, 4, 0, 1],\n [0, 0, 3, -1],\n [-2, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-108
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[4, 3, -4, -4],\n [1, -4, -3, -1],\n [-3, 1, -4, -2],\n [1, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-1, 0, 0, 0],\n [0, -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"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, 2],\n [2, 3, 2, 0],\n [0, 2, -4, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 3],\n [1, -2, 1, -1],\n [2, 1, 0, -2],\n [3, -1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9884
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -3, 3, -3],\n [0, 0, -2, -3],\n [3, 4, 3, -3],\n [-2, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 0, 2, -2],\n [0, 4, -2, -1],\n [2, -2, 4, -2],\n [-2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1404
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 2, -2],\n [-2, -3, 0, -2],\n [2, 0, -2, -2],\n [-2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4649
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-3, -4, 1, 0],\n [1, 1, -1, 3],\n [0, -3, -2, -2],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
147
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, -1, 0],\n [-1, -1, -2, -1],\n [-1, -2, -1, 0],\n [0, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
241
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -1, -4],\n [3, -4, -2, 0],\n [3, 1, -3, -3],\n [2, 2, 2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-200
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[1, 4, -2, 0],\n [3, -4, 2, -4],\n [2, -4, 1, -2],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 3, 1],\n [1, 3, -3, -3],\n [0, -1, 0, -2],\n [-4, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-362
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, -3, 2],\n [-3, 4, -1, -1],\n [3, 3, 0, -2],\n [4, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3128
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 2, -4],\n [1, -2, -1, 3],\n [-1, 3, -1, -4],\n [-2, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16740
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 1, 3],\n [2, -2, 2, 0],\n [1, -3, -1, -3],\n [1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1, 0],\n [0, -4, -2, 0],\n [1, -2, 1, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 4, -1],\n [3, 2, 4, -1],\n [-3, -3, -1, 2],\n [0, -1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
831
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -2],\n [2, 3, 0, -2],\n [0, 0, -1, 1],\n [-2, -2, 1, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -2, -1],\n [2, -1, -3, -1],\n [-2, 4, -3, 4],\n [1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 1, 0],\n [2, 2, 2, 4],\n [1, 2, 2, 1],\n [0, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8480
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -2, -4],\n [-2, -4, 0, -3],\n [0, -1, -2, -3],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-398
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 1, -2, 2],\n [0, -2, -3, 3],\n [0, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2, 2],\n [3, 2, 3, -2],\n [3, 0, -2, 0],\n [4, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 2, -4],\n [-3, 0, -2, -3],\n [-2, 3, -1, 4],\n [3, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
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