messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -1, 3],\n [4, -2, 3, -1],\n [3, -2, 3, -2],\n [-1, 2, 2, 0]]\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[[0, 1, -2, 3],\n [3, -1, 4, -1],\n [-4, 2, -2, -3],\n [-2, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1246
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, 0, 0, -2],\n [0, 2, -2, -4],\n [0, -2, 2, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-192
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, -2, -4],\n [-2, 2, -1, 2],\n [-2, 1, 1, 2],\n [-3, 0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1293
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, 2, 0, -4],\n [-2, -1, 0, 0],\n [-4, 1, 0, 1],\n [-3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 0, -4, 2],\n [0, 2, -2, -2],\n [-4, -2, 3, -2],\n [2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, -4, 3, -3],\n [-2, -4, -2, -3],\n [-1, 4, -2, 3],\n [2, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 4, -1],\n [1, 0, -4, 1],\n [-4, 3, -2, -4],\n [0, 3, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 2, 0, -4],\n [2, 0, 3, 1],\n [0, 3, 3, 0],\n [-4, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[4, -4, 1, -2],\n [-4, -3, -3, -2],\n [1, -3, 2, -2],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 0, 2, -1],\n [0, -2, -2, 2],\n [2, -2, -2, -3],\n [-1, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[3, 1, -4, -3],\n [-4, -2, 1, -1],\n [0, -1, 1, -1],\n [-3, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
65
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, -4, -3],\n [-2, 4, 4, 4],\n [4, -2, 3, 0],\n [4, 0, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4391
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, 3, 2, 2],\n [3, -4, -2, -1],\n [2, -2, 2, -3],\n [2, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
157
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 1, -2, 4],\n [1, 0, -1, -2],\n [-2, -1, -3, -2],\n [4, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-825
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, 3, 3, 1],\n [-1, 4, -3, -4],\n [-4, -4, -1, 0],\n [3, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 2],\n [1, 3, 0, 3],\n [-4, -3, 3, 4],\n [-2, -4, -3, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-300
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -4, 1, 1],\n [-4, -2, -2, 1],\n [1, -2, 1, -2],\n [1, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1413
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [-4, 3, 0, 0],\n [-4, 0, 1, 4],\n [-4, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6203
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 2, 0],\n [-3, 0, 0, 2],\n [2, 0, 2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
524
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -1, -1],\n [2, 1, 2, 2],\n [-1, 2, 4, -2],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1806
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, -3, 4, 1],\n [-3, -3, 3, -3],\n [-4, -2, -1, -1],\n [1, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 1, 0],\n [-1, -3, 0, 0],\n [1, 0, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
87
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 0, -1, 1],\n [4, -3, 1, 2],\n [2, 0, 2, 4],\n [-4, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-25
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-2, -2, -2, 2],\n [-2, -4, 0, -2],\n [-2, 0, 0, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -3, -2],\n [0, 2, 0, -4],\n [-3, 0, -2, 3],\n [-2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7804
|
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, 0, 0],\n [2, 0, 0, -2],\n [0, 0, 4, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
459
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 1],\n [-1, -2, 0, 0],\n [0, 1, 0, 0],\n [1, 2, 1, -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[[2, -2, 0, -2],\n [-2, -4, -2, 3],\n [0, -2, 0, 0],\n [-2, 3, 0, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-196
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 0, 1, 0],\n [0, -2, 3, 0],\n [1, 3, -2, -1],\n [0, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
370
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 0],\n [0, -2, -3, 2],\n [0, -3, -1, -4],\n [0, 2, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
631
|
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, 3, -2, 1],\n [0, -2, 0, 0],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2593
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, -3, -1],\n [2, 4, 3, -1],\n [0, -2, 2, 4],\n [-3, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
221
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, -1, -2],\n [2, 1, 4, 1],\n [0, 2, -4, 0],\n [-1, -3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
891
|
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, -2, 1],\n [4, 1, 0, -2],\n [-1, -3, -4, -1],\n [-3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1164
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 0, -2],\n [4, -1, 0, 2],\n [0, 0, 1, 2],\n [-2, 2, 2, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-318
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2, -2],\n [-1, 3, 1, 2],\n [-2, 1, -4, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-235
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, -4, 0, -3],\n [-4, -2, 3, 2],\n [0, 3, -4, 4],\n [-3, 2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1790
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 0],\n [2, 0, 0, 2],\n [2, 0, 3, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
547
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, 0],\n [0, 4, 2, -2],\n [3, 2, -3, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
88
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, 1, 2],\n [-2, -4, -2, 0],\n [1, -2, -3, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3613
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, -1],\n [-1, 3, -2, 2],\n [-4, -3, -1, -1],\n [1, -3, 0, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, -2, -1, 3],\n [4, 1, 1, 1],\n [-1, 1, -4, 3],\n [-2, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
88
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, 4, 2, 2],\n [1, 2, 2, -2],\n [0, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1802
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 4, -1],\n [1, -4, -4, 1],\n [-1, -4, 2, 1],\n [-1, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2268
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -2, 4],\n [0, -3, 1, -1],\n [2, 2, 1, 3],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
471
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -2],\n [2, -2, -1, -3],\n [-2, -1, -1, 0],\n [-2, -3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 4],\n [0, -2, -2, 2],\n [-2, -2, 3, 2],\n [4, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4486
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -4, 1, -2],\n [4, -2, 2, 1],\n [4, 3, 1, 3],\n [-1, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
151
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, -2, 0],\n [-4, -3, 0, 2],\n [-2, 0, -1, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
764
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, 1, -2, 1],\n [1, -2, -1, 4],\n [1, -1, 2, -1],\n [2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -3, 0],\n [2, -1, 1, 1],\n [-3, 1, 0, -1],\n [0, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-195
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 1, -1],\n [0, -4, -3, 1],\n [0, 0, 4, -2],\n [4, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, -2],\n [-4, 4, 4, 2],\n [3, -3, 2, -2],\n [-4, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-379
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 1, -3],\n [1, -3, 2, -1],\n [-3, -3, 2, -4],\n [3, -4, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
863
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, -4, -1],\n [2, -3, 0, -4],\n [2, 3, 0, 3],\n [-1, 1, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
579
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, -3],\n [1, 1, -2, -2],\n [0, -2, -2, -1],\n [-3, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7050
|
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, -1, -2, 0],\n [0, -2, 0, -1],\n [0, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
879
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, 0, 2],\n [4, -1, -2, 2],\n [0, -2, 4, 0],\n [2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
337
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 2],\n [1, 4, -1, 0],\n [2, -3, 3, 1],\n [-4, -2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
955
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 1],\n [0, -2, 3, -1],\n [3, -2, 4, -1],\n [1, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
180
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, -4, 0],\n [-2, -4, 2, 2],\n [-4, 2, 1, 2],\n [0, 2, 2, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1205
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -1, 2],\n [-2, 2, 3, 0],\n [4, 0, 3, -2],\n [-2, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 3, -1, 1],\n [0, -1, -2, -3],\n [-2, 1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3348
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, 4, -3],\n [-2, 3, -3, 4],\n [-4, -2, 2, -1],\n [-1, -1, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
357
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[1, 2, -2, 0],\n [-3, -1, -3, 0],\n [0, -3, -3, -4],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
636
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 1, -1, 0],\n [2, -1, 4, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1277
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 2],\n [-3, -3, -3, 1],\n [-1, 2, 2, -2],\n [-2, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
425
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -1, 3],\n [4, 0, 0, -1],\n [0, -1, -4, 0],\n [1, -3, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1552
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 3, 0],\n [2, 4, -2, -4],\n [3, -2, 1, -2],\n [0, -4, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-61
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, -3],\n [-4, 1, 3, -3],\n [-4, 4, -1, -4],\n [-1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2608
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -4, -1, -1],\n [-1, 2, 2, -1],\n [4, 2, -1, 0],\n [-1, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1031
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 3, 0],\n [-2, 4, 2, -2],\n [4, -2, 0, -2],\n [-1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
139
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 0],\n [2, -1, 3, -2],\n [-2, 3, 4, 0],\n [0, -2, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, -1, -1, -2],\n [3, 1, -4, -4],\n [-3, 1, -1, -3],\n [-1, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, -1, 2],\n [-4, 3, 4, 4],\n [2, -2, -1, -2],\n [-3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
173
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, -2],\n [0, -2, 4, -4],\n [-4, 4, 1, -2],\n [4, -1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11215
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -2],\n [2, -4, 2, 2],\n [-2, 2, 4, 2],\n [-2, 2, 2, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1136
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, -1, -2, -2],\n [-1, 2, 0, 0],\n [-2, 0, 0, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -1, 1],\n [1, 0, 2, 4],\n [-1, 2, 0, -2],\n [1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1244
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, -2, 2],\n [2, 0, -1, -4],\n [2, -1, 3, 3],\n [-4, -4, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-118
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, 2, 2, 2],\n [2, -4, 0, 0],\n [2, 0, -3, 3],\n [2, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 3, 3],\n [3, -3, -3, 2],\n [3, 3, -2, 3],\n [2, 2, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -2, 2, -1],\n [-2, 4, 2, -2],\n [2, 2, 1, -4],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1600
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 0, -1],\n [0, 0, -3, 0],\n [0, -3, -4, 0],\n [-1, 0, 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[[-2, 0, -1, 4],\n [1, -4, 1, -3],\n [4, 3, 4, 2],\n [-4, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-260
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, -1],\n [2, -3, 0, 0],\n [0, 0, -3, 2],\n [-1, 0, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, 2, -2, -3],\n [2, -1, 0, 1],\n [-2, 0, 2, 0],\n [-3, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 4, 1, 2],\n [4, -3, -2, 0],\n [1, -2, -3, 2],\n [2, 0, 2, 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 3th power of the matrix:\n[[-3, 0, 0, -1],\n [0, -4, 0, -2],\n [0, 0, 4, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
540
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, -4, -4],\n [3, 0, -4, -3],\n [-4, -2, 3, 3],\n [-3, -3, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15413
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 0, 4, 2],\n [0, -2, 0, 3],\n [4, 0, 0, -4],\n [2, 3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
396
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, 2, 2, 1],\n [0, 2, -3, -1],\n [2, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1178
|
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, 0, 2],\n [-2, 0, -3, -3],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1013
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 0, -2, 3],\n [-3, 4, -1, -1],\n [-4, -4, 4, -2],\n [-4, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, -2, 4, 0],\n [-2, 2, 0, 0],\n [4, 0, 1, 1],\n [0, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 4, -4],\n [-1, 1, 1, -1],\n [1, 3, 4, 0],\n [3, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
932
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 1],\n [2, 3, 3, 0],\n [-4, -3, 0, 2],\n [0, -1, 4, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-259
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2, 2],\n [-3, -1, -3, 4],\n [-1, 1, 2, 4],\n [3, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
495
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -1],\n [2, -3, 3, 1],\n [-4, -1, 3, -4],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
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