messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 1, -1],\n [4, 4, 1, 1],\n [-2, -4, 4, 2],\n [4, -2, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
991
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 1],\n [-1, 2, -2, 4],\n [2, 2, 1, 4],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
174
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -3, -2],\n [0, 2, 0, 0],\n [-3, 0, 2, 0],\n [-2, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
668
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -3, -3],\n [2, -1, 3, 0],\n [-3, 3, 0, 1],\n [-3, 0, 1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 2, -3, -2],\n [2, 0, 2, 0],\n [-3, 2, 1, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 4, 3, -1],\n [-4, 4, -4, 4],\n [0, 4, 1, -3],\n [-1, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-366
|
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, 4, 4],\n [4, -3, -3, -4],\n [-3, 1, -2, -4],\n [4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6627
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 4, -2],\n [-2, 2, 0, 2],\n [4, 0, 4, 0],\n [-2, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3898
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 2, -2],\n [0, 0, 3, 0],\n [2, 3, -2, -2],\n [-2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
772
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, -1, -1],\n [2, -1, 3, -2],\n [-1, 3, -2, -2],\n [-1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
958
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2, 4],\n [-2, 1, 2, -4],\n [0, -2, -4, -2],\n [2, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-339
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 1, 3],\n [-4, -2, -1, -2],\n [2, 4, -1, -2],\n [-3, 4, 2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-436
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, -1, -2, 0],\n [-1, 3, 2, 2],\n [-2, 2, 0, 1],\n [0, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, -4, 2, 2],\n [2, -1, 0, 1],\n [3, 4, -1, -1],\n [-3, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -1, -3],\n [-4, -3, 4, -2],\n [1, 1, 0, -2],\n [-3, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1668
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 2, -4],\n [3, 4, 3, -3],\n [3, -1, -4, 2],\n [2, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1117
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2, 0],\n [0, -1, 0, 2],\n [-2, 0, 2, 3],\n [0, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4394
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -2, -1, -4],\n [-3, 3, -4, -1],\n [3, -4, -2, 1],\n [-3, -1, 1, -1]]?\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, -4, 4, -4],\n [-3, -4, 4, 4],\n [-3, 0, 1, 0],\n [1, -3, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
274
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 0],\n [0, -2, -1, 0],\n [0, -1, -4, 3],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
385
|
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, 4, 0],\n [0, 1, -4, -1],\n [4, -4, 1, 2],\n [0, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9261
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, -1, -3, 3],\n [3, -3, -2, 0],\n [1, 4, 1, 2],\n [-4, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
272
|
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, 0],\n [2, 2, 1, 2],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-29
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, 1, 2],\n [3, -2, 1, 0],\n [1, 1, 0, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
536
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, 4, -3, 0],\n [-2, -3, 1, -4],\n [2, 4, -4, -1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
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, 2, -2],\n [0, 0, -4, -4],\n [2, -4, -4, 3],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8210
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, 0],\n [2, -2, 2, 0],\n [0, 2, 0, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
441
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 2, 1],\n [-2, 4, -4, -4],\n [-4, -3, -3, 0],\n [1, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1753
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, -1, -2],\n [-1, -4, -3, 0],\n [-1, -3, -2, -1],\n [-2, 0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-933
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 2, -3, -1],\n [-4, -2, 0, -3],\n [-2, -2, 2, -2],\n [-2, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-118
|
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, -1],\n [0, -2, 0, -3],\n [0, 0, -2, 0],\n [-1, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
184
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, 0],\n [-2, 2, 1, 3],\n [2, 1, 2, 0],\n [0, 3, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2237
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 0],\n [0, -4, 0, 2],\n [-2, 0, -1, -2],\n [0, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2265
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 1, -2],\n [0, 3, 2, 0],\n [1, 2, -2, 3],\n [-2, 0, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
565
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 0, 1, -2],\n [0, 1, -4, 1],\n [1, -4, -4, -2],\n [-2, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
41
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 2],\n [2, 1, 2, 2],\n [2, 2, -2, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
664
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-1, 3, -2, 2],\n [3, 2, 1, 0],\n [-2, 1, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
450
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, -2, 2, -2],\n [0, 2, -2, 0],\n [-2, -2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1469
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, 4, 0, -2],\n [4, -3, -2, -2],\n [0, -2, -1, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -3, -3, -1],\n [-3, 4, -2, 2],\n [-3, -2, 1, -2],\n [-1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, -3],\n [0, 3, -2, -3],\n [0, -2, 0, 0],\n [-3, -3, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-210
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 0, -1],\n [-2, 4, 0, 3],\n [0, 0, -1, 0],\n [-1, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7771
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 1, 0],\n [0, 4, 1, 0],\n [1, 1, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 2],\n [-2, -1, 1, 0],\n [2, 1, 1, -4],\n [2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
874
|
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, 3, -2],\n [-4, -2, -1, -3],\n [2, -3, 0, 0],\n [1, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4359
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 1, 4],\n [-1, -1, 0, -3],\n [-2, 2, -1, 1],\n [1, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
562
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 1],\n [-3, 0, 3, -4],\n [1, 0, 1, -4],\n [1, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 2],\n [2, -2, -1, 2],\n [0, -1, 4, -3],\n [2, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
914
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 3, -2, 4],\n [0, 4, 4, -2],\n [1, -2, -4, -4],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 3, 2],\n [-1, -4, 2, 2],\n [-2, 4, -4, -4],\n [-2, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
898
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 0, 0, -2],\n [0, 4, 0, 0],\n [0, 0, 1, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 3, -1, 0],\n [0, -1, -4, 0],\n [2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
225
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[4, 1, 2, 1],\n [-4, -2, 3, -1],\n [-2, 1, -2, 3],\n [2, 2, 3, 1]]\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^3 where A is:\n[[0, 2, -3, -3],\n [-1, 2, -3, -4],\n [-1, 3, -2, 2],\n [4, -3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 0, -3],\n [-4, 3, -2, -3],\n [0, -2, 2, 3],\n [-4, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, -4, -4],\n [4, -3, 1, -3],\n [-3, 2, -4, 0],\n [-2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11898
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, 2, 2],\n [4, 1, -2, 0],\n [2, -2, 0, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5141
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 2, 0],\n [0, -3, 3, 2],\n [2, 3, 4, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
689
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, 3, 3, 1],\n [1, 2, 1, 0],\n [1, -3, -4, -4],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -2, -2],\n [-1, 4, 0, 0],\n [-2, 0, 3, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
631
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[2, -4, -2, -1],\n [-1, -3, 3, -4],\n [-2, -2, 2, 0],\n [2, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 3, 4, -4],\n [2, 0, -1, -4],\n [0, 3, 3, -4],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, -1, 2, 0],\n [-1, -2, 2, 2],\n [2, 2, 3, 0],\n [0, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 2],\n [-3, -4, 2, -2],\n [0, 2, -2, -2],\n [2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1060
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -4, 2],\n [1, 0, 0, 0],\n [2, 1, 4, -4],\n [2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1586
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -4, 4],\n [0, -3, 3, 4],\n [1, -2, -1, 2],\n [0, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
140
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 3, -1],\n [3, -2, 0, 0],\n [3, 0, -2, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2649
|
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, 0],\n [-2, 0, -2, 0],\n [0, -2, 0, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
870
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, -4, 1],\n [1, -3, 2, 1],\n [-2, 2, 0, 0],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5034
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 1, 0],\n [-1, 4, 1, 0],\n [1, 1, 2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 1, 3],\n [-1, 4, 1, -2],\n [2, 0, 1, -4],\n [-1, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
926
|
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, -1, 2],\n [0, 4, 1, 0],\n [-1, 1, -2, -4],\n [2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5741
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 3, -1],\n [2, -1, 0, 4],\n [-3, 1, -2, -1],\n [4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5776
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -2],\n [4, 0, -4, 3],\n [3, -4, 3, 2],\n [1, 1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, 1, -1],\n [3, -1, -1, -2],\n [4, 4, -1, 3],\n [-1, -1, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 3, -2, -1],\n [3, -1, -1, -2],\n [-2, -1, 1, 4],\n [-1, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-514
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, 3],\n [-1, 2, 4, 1],\n [0, 2, -4, -3],\n [-2, 3, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2036
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -3, 0],\n [1, 4, -1, 0],\n [-3, -1, -1, -1],\n [0, 0, -1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 0, 4, 0],\n [0, 4, -4, -2],\n [4, -4, 4, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
336
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 4, 1],\n [2, -4, 0, 2],\n [4, 0, 2, 0],\n [1, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, 0, 0],\n [3, 1, 1, 0],\n [0, 1, 3, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
565
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, -2, 0],\n [0, -2, -2, 4],\n [-1, -4, -2, -1],\n [-2, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-332
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 0],\n [1, -2, 0, -4],\n [1, 3, 0, 3],\n [1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, 1],\n [-2, 2, 2, -2],\n [0, 2, -2, 0],\n [1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
546
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 3],\n [-4, -4, 1, 1],\n [-1, 0, 1, -4],\n [3, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-229
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 0, 4],\n [-2, 2, 0, 0],\n [-1, 4, -1, 1],\n [3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
606
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, 2],\n [2, -3, -2, 0],\n [1, -2, 4, 0],\n [2, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-1, 4, 4, 4],\n [-1, -1, 2, -1],\n [-3, -3, 0, 0],\n [1, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
232
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, -4, -2],\n [-1, 0, 0, -1],\n [-4, -3, 3, 0],\n [-1, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, -2, 1],\n [-3, -3, -4, -2],\n [2, -4, -4, 2],\n [-4, -3, -2, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-63
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 1, 0],\n [4, -2, 2, -2],\n [1, 2, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8686
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 1, -2],\n [0, -3, 0, 0],\n [1, 0, -2, 1],\n [-2, 0, 1, 0]], determine the value at position (2, 4).\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^4 where A is:\n[[-3, 1, 4, 1],\n [-1, -2, -2, -2],\n [3, -2, 0, 4],\n [0, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4327
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, -2, -2],\n [-4, -1, -2, 0],\n [-2, -2, 1, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-993
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -4, 2],\n [2, -4, 0, 2],\n [-4, 0, 0, 2],\n [2, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1067
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -1, 2],\n [4, -3, -3, -4],\n [-1, 0, 3, 0],\n [-3, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, -4, 1, -1],\n [-4, -4, -4, -4],\n [2, 1, 0, 0],\n [4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
824
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, -2, 2],\n [1, 1, -3, 3],\n [0, -3, -2, 3],\n [-4, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
316
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 4, -3],\n [-2, -4, 4, -2],\n [0, -1, -1, -4],\n [0, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6417
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 1, -1],\n [-1, 3, -1, 0],\n [1, -1, -4, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-126
|
MATH
|
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