messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, 4, -2, -1],\n [4, 4, -2, -4],\n [4, 2, -1, -3],\n [4, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-34
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -4, -3],\n [-2, 3, -2, 3],\n [4, 0, -4, -4],\n [-3, 3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6369
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 1, -3],\n [0, -2, -1, -2],\n [1, -1, 4, 0],\n [-3, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4094
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -4, 1, -1],\n [0, 3, -2, -4],\n [-1, -2, 3, 2],\n [3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-596
|
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, -4, -4],\n [-1, 3, -2, 2],\n [0, 3, -1, 3],\n [3, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2524
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 1, -3, -2],\n [-1, 4, -3, 4],\n [-3, -3, -2, 0],\n [1, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
494
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 0, -2],\n [0, -3, 0, -1],\n [0, 0, -3, 0],\n [-2, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1218
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, -3, -2],\n [0, -2, -2, 2],\n [-4, -1, -1, 4],\n [1, -2, -2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 2, 4],\n [2, 2, 1, 4],\n [2, 4, -2, -1],\n [-4, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, 3, 2, 2],\n [3, 3, -4, 4],\n [4, 0, -4, -1],\n [3, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
94
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, 2, 0, -2],\n [0, 0, -4, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
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, 1, 3],\n [2, -4, 1, 0],\n [1, 1, 3, 3],\n [3, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10021
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, -3],\n [-4, 1, 0, 4],\n [-4, 0, 0, -2],\n [3, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4201
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 1, -2],\n [2, 3, 0, -3],\n [1, 0, -1, 0],\n [-2, -3, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-486
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [-1, 2, 0, 0],\n [-2, 0, 4, 0],\n [2, 0, 0, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -1, 3, 1],\n [1, -4, -1, 2],\n [-2, -3, -3, 3],\n [-4, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -4, 3, 2],\n [3, -2, -3, -4],\n [-1, 4, 3, 1],\n [4, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
347
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 4],\n [0, 3, 1, 0],\n [1, 1, 2, 0],\n [4, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
640
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 0, -4],\n [-4, 1, 2, -1],\n [-4, 3, -4, 0],\n [-1, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3984
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, 0],\n [0, 3, -2, 0],\n [2, -2, -4, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
553
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 0, 0, -2],\n [0, -4, -1, 0],\n [0, -1, -2, 0],\n [-2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, -2],\n [0, 4, 0, -2],\n [0, 0, -4, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
537
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, -1],\n [3, -1, -4, 1],\n [-4, -2, 4, -3],\n [-3, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-314
|
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, 0, 0],\n [4, -4, -2, 4],\n [-1, 2, 1, 0],\n [-1, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
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 [-2, 0, 0, 0],\n [2, 0, 3, 1],\n [0, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1418
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, -2],\n [-1, -3, 3, 3],\n [-2, 2, 3, 3],\n [3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 1],\n [-4, 0, -4, 2],\n [-4, -1, -2, 4],\n [2, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5514
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-4, 0, 2, -3],\n [0, 3, 2, 0],\n [2, 2, -1, -2],\n [-3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 0, 3],\n [-4, 0, 0, -3],\n [3, -1, -2, 0],\n [2, -2, 4, -3]], determine the value at position (1, 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 absolute values of all entries of the result:\nA =\n[[-3, 2, -1, 1],\n [0, -1, 1, 1],\n [-2, 3, 2, -4],\n [-4, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
571
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 2, 0],\n [-2, 2, 0, 2],\n [2, 0, -3, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -2, 0, 2],\n [-2, -3, 0, 4],\n [0, 0, -1, -1],\n [2, 4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, 1, -3, 2],\n [1, -3, 0, -2],\n [-3, 0, -1, 2],\n [2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, -2],\n [3, -1, 2, -2],\n [-3, 2, -4, 0],\n [-2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0, 3],\n [2, -2, 4, -2],\n [2, -1, -4, 1],\n [-3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, -2],\n [0, -1, 0, -2],\n [0, 0, 2, 0],\n [-2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
237
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, -1, -3],\n [2, 4, 1, -1],\n [4, 2, -3, -3],\n [4, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1135
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 4, -2],\n [-1, 4, 2, 2],\n [4, 2, -1, 4],\n [-2, 2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1244
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -4, -2],\n [4, -3, -4, 4],\n [1, -2, 3, 0],\n [0, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3311
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -3, -4],\n [-1, 3, -1, 0],\n [-3, -1, -3, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1222
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -3, -1, 0],\n [-3, -3, 2, -2],\n [-1, 2, 3, 1],\n [0, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-248
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, 3],\n [4, 1, -4, 0],\n [3, -1, -2, 4],\n [2, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1660
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 2, 0, -4],\n [2, -1, 1, 0],\n [0, 1, 1, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-116
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-4, -3, 1, 3],\n [2, 3, -3, 3],\n [3, 1, -3, 2],\n [-4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, -2, -1, 0],\n [-2, 1, -3, 0],\n [-1, -3, -4, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, -3, -2],\n [3, -1, -4, 3],\n [2, -1, 4, -3],\n [0, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8379
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -3, -4],\n [3, 0, -3, 1],\n [-1, 3, -1, -2],\n [4, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1242
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, 4, 0],\n [-1, 3, 4, 1],\n [1, 0, -3, -1],\n [3, -3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
577
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 1, 2],\n [0, -4, -2, 0],\n [1, -2, 4, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1063
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-2, 0, -4, 4],\n [-4, -1, 2, 0],\n [0, -1, 3, -3],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -3, 0],\n [1, 1, 3, -2],\n [2, 4, -2, -3],\n [-4, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -1, 0],\n [2, -3, 2, 3],\n [0, 2, 2, -1],\n [-2, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
307
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, 1],\n [-1, 0, 0, -2],\n [-4, 0, 4, 0],\n [1, -2, 0, 4]]?\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, -2, 3, 0],\n [2, 3, 3, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
828
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 1, 4, 0],\n [0, 2, 4, 3],\n [0, 0, 4, 0],\n [2, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 2, 0],\n [-2, -3, 2, -3],\n [1, -3, -1, -1],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
105
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 4],\n [-2, -4, 0, 2],\n [0, 0, 1, 1],\n [4, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19261
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 3, 0, 0],\n [3, 1, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -1, 0, -2],\n [-1, -3, 0, -1],\n [2, -4, -1, -1],\n [1, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, -4, -1, -3],\n [1, -1, -1, -2],\n [-2, 1, 3, -2],\n [1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
64
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, 2, -4],\n [1, -2, -1, -4],\n [-2, 1, 1, 1],\n [-3, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
812
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, 1, -4],\n [0, -4, 0, -2],\n [-3, 2, 3, 2],\n [-2, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, 0, -3],\n [1, -2, 3, 1],\n [4, 1, 4, 0],\n [1, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1350
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, -2, -2, -1],\n [-2, 1, 2, 0],\n [-2, 2, 4, 4],\n [-1, 0, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-174
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 3, 2],\n [2, -3, -2, 2],\n [3, -2, 1, 2],\n [2, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1250
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -1, 0, 3],\n [0, 0, 0, 2],\n [-2, 3, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1417
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[4, -2, 2, 0],\n [-2, -4, 0, -4],\n [2, 0, -1, 0],\n [0, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-187
|
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, -1],\n [-3, 3, 2, 0],\n [-1, 2, 1, 2],\n [-1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
770
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, -4, 1, 4],\n [0, 4, -4, 3],\n [2, 4, 1, -4],\n [1, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-288
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, 4],\n [1, 1, 0, 0],\n [2, 0, 0, 2],\n [4, 0, 2, -2]]\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, 4) of the result:\nA =\n[[-4, -1, -1, 4],\n [-1, -4, 0, 4],\n [-1, 0, -4, -2],\n [4, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2250
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -2, 0],\n [3, 1, -1, 2],\n [-1, 1, 0, -4],\n [0, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
670
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, 2, 0],\n [-4, -2, 2, 4],\n [2, 2, -3, 2],\n [0, 4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2674
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 3, 4, -4],\n [-3, 4, -4, 1],\n [-1, -3, 0, -1],\n [2, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4316
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 1, 0],\n [-1, -1, 0, -2],\n [4, 4, -2, 4],\n [-1, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
807
|
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, 3, 0, 2],\n [2, 0, -2, -3],\n [2, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1304
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, -4, -3],\n [1, 3, 3, -2],\n [-4, 3, 3, -2],\n [2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1638
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, -2, 2],\n [-3, -2, 2, -3],\n [-2, 2, -3, -2],\n [2, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-181
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, -4, -3],\n [4, -2, -3, -3],\n [1, 4, -2, 2],\n [2, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
344
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 0, 0],\n [-4, 1, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-15
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, 0, 2, -3],\n [0, -1, 0, 0],\n [2, 0, -3, 1],\n [-3, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 1, 1],\n [-4, -4, 1, -1],\n [-4, 4, 4, 2],\n [-4, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3068
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 3, 4],\n [-2, 3, 0, 3],\n [-3, -4, 4, 2],\n [2, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-308
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 2, 3],\n [2, -3, -2, 2],\n [2, -2, -1, 2],\n [3, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1226
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 1, 0],\n [0, 2, 1, -4],\n [1, 1, 0, -2],\n [0, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1041
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -4, -1],\n [1, -3, 1, -2],\n [-2, -3, -4, -4],\n [-4, 1, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4628
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 1, -2],\n [-2, 0, -1, 1],\n [1, -1, 4, -3],\n [-2, 1, -3, 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, 0, 3, 2],\n [0, -2, -1, -2],\n [3, -1, 4, 0],\n [2, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
878
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 2, 1, -2],\n [2, 0, 4, 0],\n [1, 4, 3, -4],\n [-2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1048
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, -2, 2, 0],\n [-2, -2, -2, -2],\n [2, -2, 4, -2],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
393
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 2, 1, -3],\n [2, 1, -3, 2],\n [1, -3, 2, 0],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, 2, 2, 2],\n [2, 4, -4, 2],\n [2, -4, 1, -2],\n [2, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, 0, 0, -4],\n [0, 0, -3, -2],\n [0, -4, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-866
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, 0, 2],\n [-4, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
833
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -4, 1],\n [0, 4, -2, 0],\n [-4, -2, 2, -2],\n [1, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1569
|
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, 0, -1],\n [-2, 0, 0, 2],\n [0, 0, 3, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 4, 0, -4],\n [-4, 0, 4, 4],\n [-2, 1, -3, 3],\n [0, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
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, -1, 3],\n [2, 0, 4, 1],\n [0, -2, -4, -1],\n [-3, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3683
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 1, -1],\n [4, 2, -4, 1],\n [-4, 2, 0, -2],\n [-4, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5173
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 0, -2],\n [-1, 3, 0, -2],\n [0, 0, -2, 0],\n [-2, -2, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
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