messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 0, 1],\n [-4, 0, 3, -2],\n [0, 3, 0, 0],\n [1, -2, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 3, -2, -4],\n [0, -2, 0, 2],\n [0, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
958
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 4],\n [0, 3, 1, 2],\n [0, 1, 4, -2],\n [4, 2, -2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-139
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 1],\n [-2, 2, -2, 1],\n [0, -1, -4, -2],\n [2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
331
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, -3],\n [-3, -1, -1, 4],\n [-3, -3, 2, 2],\n [4, -3, 1, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 2, 0],\n [1, 4, -4, 0],\n [2, -4, 0, 4],\n [0, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1303
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -1, -2, 3],\n [-1, -3, 0, 4],\n [-2, 0, 2, 0],\n [3, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 0],\n [2, -4, -1, 0],\n [0, -1, 3, -2],\n [0, 0, -2, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
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, 0, -2],\n [1, 1, 0, 1],\n [0, 0, 2, 0],\n [-2, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
217
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 1, 0],\n [2, -2, -2, 2],\n [1, -2, 4, 1],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4164
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -2, -2],\n [0, 4, -1, 0],\n [-2, -1, -2, 0],\n [-2, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2323
|
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, -1, 0],\n [-2, 2, 1, 3],\n [-1, 1, 0, -4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
932
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 2, -1, 0],\n [2, -1, 1, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 2, -1],\n [-3, -3, -1, -3],\n [4, -2, -4, 0],\n [1, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7354
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 2, 0, -1],\n [2, 1, 2, -2],\n [0, 2, 2, -3],\n [-1, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-60
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -1, 0],\n [0, -3, -4, 1],\n [-4, 3, 0, 0],\n [-1, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2020
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, -1, 2],\n [3, -3, 1, 0],\n [-1, 1, -4, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
894
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, 4, -1, -2],\n [4, 1, -4, 1],\n [-1, -1, 1, 2],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
568
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 3, 1, 2],\n [3, -2, -2, -3],\n [-3, 3, 4, 0],\n [4, 3, -2, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 3, 4],\n [-4, -3, -3, -2],\n [1, 1, 3, 2],\n [3, 2, 0, 3]]?\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[[-3, 0, 0, 0],\n [0, 1, -3, -1],\n [0, -3, 3, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
350
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[1, 1, 1, 2],\n [1, 0, -3, 0],\n [1, -3, 4, 0],\n [2, 0, 0, -3]]\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[[1, -2, 0, 2],\n [-2, 4, 0, 1],\n [0, 0, 4, -2],\n [2, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
151
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, -2],\n [2, -2, -2, -2],\n [0, -2, -2, -2],\n [-2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-301
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, -1, -2],\n [-4, -1, -2, 0],\n [-1, -2, 4, -2],\n [-2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9854
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, 2],\n [0, 4, -2, 0],\n [2, -2, 1, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2480
|
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, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, -2, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1502
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 2, -2],\n [-2, -4, -1, 0],\n [2, -1, -2, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2316
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 2],\n [2, -3, 1, 4],\n [0, 1, 1, -4],\n [2, 4, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9782
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 2],\n [0, -1, -4, -2],\n [0, -4, 4, -2],\n [2, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-553
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, -4, 1, -2],\n [-3, 1, -1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -4, 1],\n [-1, 3, -3, 4],\n [0, -4, 1, 0],\n [4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
833
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 0, 3, 0],\n [0, -1, -2, -2],\n [3, -2, -3, 1],\n [0, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -1, 2],\n [2, -4, 0, -2],\n [-1, 0, 1, 2],\n [2, -2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
100
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 1, 2],\n [-2, -2, 1, -2],\n [1, 1, 1, 0],\n [2, -2, 0, -3]], determine the value at position (3, 2).\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[[4, 1, -2, -1],\n [1, 4, 0, 0],\n [-2, 0, -2, 2],\n [-1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
678
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, -2, 2, 0],\n [-2, 1, 4, 0],\n [2, 4, -4, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-74
|
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, 2, -1],\n [-2, -4, -4, 2],\n [0, 1, 4, -4],\n [-3, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
707
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, 2, 1],\n [3, 4, 4, -3],\n [1, 2, 1, 2],\n [-1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3392
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, -2, 1],\n [2, 3, 0, 2],\n [-2, 0, -4, -2],\n [1, 2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6822
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, 1, 4],\n [1, 0, -3, 3],\n [4, 4, 0, 4],\n [3, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-59
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 3, -4],\n [2, -2, 3, -2],\n [-4, -2, -1, 3],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
556
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 2, -4],\n [2, 0, -4, -3],\n [0, 1, -1, -1],\n [0, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 2, -2],\n [1, 3, 1, -2],\n [2, 1, -4, -4],\n [-2, -2, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-250
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, 2, -2],\n [-4, 0, -3, -2],\n [0, 2, -4, -3],\n [-4, 1, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
75
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 0, 1],\n [-3, -4, -2, 1],\n [2, -2, 3, -2],\n [2, 1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-129
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1426
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, -3, 2],\n [-2, -1, 2, -3],\n [0, 2, -2, 3],\n [3, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-190
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -1, 1],\n [0, -4, -1, 0],\n [-1, -1, 4, 0],\n [1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 1, 1, 4],\n [-4, -2, 3, -2],\n [-1, 4, 2, 4],\n [2, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-119
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -1, -1],\n [0, -3, 4, 1],\n [-1, 3, 4, -4],\n [-4, -4, -4, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1638
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 1, 2],\n [0, 1, 1, 0],\n [1, 1, 1, -2],\n [2, 0, -2, -1]], determine the value at position (2, 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 [-3, -1, 2, 0],\n [3, 2, -3, -3],\n [-2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-384
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, 2, -1, -1],\n [2, -1, -3, -2],\n [-1, -3, -4, 0],\n [-1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
543
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -2, -1, 1],\n [-1, 3, -2, -2],\n [-1, 1, 3, 2],\n [3, -4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-253
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 0, 0, 2],\n [0, -3, 2, 2],\n [0, 2, 2, 2],\n [2, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
274
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 3, -2],\n [-2, 4, -2, 3],\n [3, -2, 3, -2],\n [-2, 3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-244
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 0],\n [1, 1, 0, -2],\n [0, 0, -1, -1],\n [0, -2, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, 2, -1, 3],\n [3, -2, 4, 1],\n [-1, 1, -4, -4],\n [-1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
177
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 3, 1],\n [-1, 3, -1, -3],\n [2, -2, 3, 1],\n [-2, 1, 1, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 4, 0],\n [-2, -1, 1, 0],\n [4, 1, 1, 4],\n [0, 0, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
723
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 1, -2, 2],\n [0, -2, -4, 3],\n [0, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -2, 4],\n [1, -1, 2, -2],\n [-1, 0, 1, 2],\n [0, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, 0],\n [0, 3, 3, 2],\n [2, 3, -4, 2],\n [0, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1252
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, -1],\n [3, -3, 3, 2],\n [1, 1, 3, -2],\n [-1, 3, 0, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 1, 4],\n [4, -2, 1, -1],\n [1, 2, 1, -2],\n [3, -1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1430
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, -2, 0],\n [-2, 1, 0, -1],\n [-2, 0, -2, -2],\n [0, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1250
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2, 3],\n [3, -2, -3, 1],\n [-2, -3, -4, 0],\n [3, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12052
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 4, -4],\n [-2, 0, 0, 4],\n [2, 1, 0, 4],\n [-1, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-142
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -3, 2],\n [-2, 2, -3, -4],\n [4, -4, 4, 1],\n [1, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-388
|
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, 0, -2],\n [0, -3, -2, 0],\n [0, -2, 3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2138
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 0, 0],\n [2, 2, 3, 0],\n [0, 3, 0, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1316
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[2, 1, 0, -2],\n [1, 4, 4, 4],\n [-3, -2, -4, 4],\n [-4, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, -2, 1, -2],\n [2, 1, -2, -2],\n [-2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1922
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, 4],\n [-1, 4, -3, -2],\n [-2, 0, -4, 0],\n [-3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 4, -2, 0],\n [4, -4, 2, 0],\n [-2, 2, 3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1498
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 1, 4, 2],\n [-4, -2, -2, -1],\n [-3, -2, 0, 3],\n [1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, -1, 3],\n [3, 0, 4, -4],\n [2, 2, -3, -3],\n [4, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
665
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, 1, 3],\n [-4, 3, -1, 3],\n [-1, -2, -1, 4],\n [2, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2143
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 3, -4],\n [1, 1, 3, -3],\n [-2, 3, -4, -4],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-469
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 0, -4],\n [0, 3, -1, 4],\n [0, -1, 1, 0],\n [-4, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2600
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, 1, 4],\n [0, 3, -1, -2],\n [-2, 1, 2, 4],\n [-1, -1, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
151
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, 2, -1],\n [-1, -3, -3, 4],\n [0, -3, -3, -3],\n [0, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5485
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 1, 2],\n [1, -3, 3, -1],\n [-4, 4, -1, 0],\n [-4, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5326
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 4, 2],\n [0, -4, -1, 4],\n [4, -1, -1, 2],\n [2, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7478
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -1, -2],\n [2, 4, 4, -1],\n [-1, 4, 2, 3],\n [-2, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, 4, 2],\n [4, -4, 3, -1],\n [-1, -3, 3, -3],\n [2, 4, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8214
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -4, 4, -4],\n [-2, -1, -1, -3],\n [-4, 4, -2, -1],\n [-2, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1025
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 0, 4, 0],\n [0, 4, -3, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
167
|
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, 0, -2],\n [-2, -1, 2, -2],\n [0, 2, 3, -2],\n [-2, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
907
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [0, 4, 2, -2],\n [0, 2, 3, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 4, 3, 4],\n [-2, 4, 0, 3],\n [-2, 1, -2, 4],\n [-1, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 2, 3, -3],\n [-1, -4, -4, 3],\n [2, -1, 4, -1],\n [4, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-572
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, -1, -4],\n [-3, -1, 2, 4],\n [-4, 1, -3, -4],\n [0, -1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
428
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, -1, 2],\n [3, 1, 2, -4],\n [2, 3, -2, 2],\n [3, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1973
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 1, 4],\n [3, 3, 2, 1],\n [4, 3, -3, 0],\n [-4, 3, -4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
456
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, -1, -2],\n [0, 3, -3, 1],\n [-4, -3, -4, 3],\n [-2, 3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, 0],\n [0, -4, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, -2, -1, 0],\n [0, -1, -4, -2],\n [0, 0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, 2, 0, 0],\n [2, -4, -3, 1],\n [0, -3, -2, 2],\n [0, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1445
|
MATH
|
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