messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 1, -4, -4],\n [-4, 4, -1, 2],\n [3, 4, -2, -2],\n [3, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 2, -4, -2],\n [2, -2, 4, 0],\n [-4, 4, 0, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-332
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -1, -2],\n [0, 2, 0, -1],\n [-1, 0, -1, 0],\n [-2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-200
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, 0, 0],\n [2, 3, -2, 0],\n [0, -2, 0, -3],\n [0, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 2, -3],\n [-3, -2, 1, 2],\n [-1, 3, -2, 0],\n [4, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
284
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, 1, 4, 0],\n [2, 4, -2, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-558
|
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, -4, 0],\n [2, 0, 1, -1],\n [-4, 1, -4, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1067
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 2, -2, -4],\n [2, -1, 2, -2],\n [-2, 2, -2, 0],\n [-4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 2],\n [2, -1, -3, 0],\n [4, -4, -2, -1],\n [-2, -3, 3, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 0, 3],\n [2, -2, -2, -1],\n [0, -2, -2, 0],\n [-4, -1, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 2],\n [0, 4, -2, -2],\n [2, -2, -2, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
779
|
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, 3, -4],\n [4, -4, -3, -1],\n [-1, -1, 3, 2],\n [1, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1221
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 4, -1, 3],\n [1, 0, -2, 0],\n [-2, 0, 1, 2],\n [3, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, -1, -4, -2],\n [-1, 1, -4, -4],\n [-2, 3, 0, -4],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-156
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, -4],\n [0, 1, 0, 2],\n [2, 0, -3, -1],\n [-4, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1118
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -2],\n [0, 1, -2, -4],\n [-3, -2, 4, 0],\n [-2, -4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11350
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -1, -2],\n [-1, -2, -1, 2],\n [-1, -1, 0, 1],\n [-2, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
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, 2, 0],\n [2, 3, -2, -1],\n [2, -2, -1, 1],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
343
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 2, -2, -4],\n [-3, 2, -2, 2],\n [-3, -1, -1, 4],\n [-3, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 3, 0],\n [3, 0, -1, 1],\n [1, -2, 1, 3],\n [1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3876
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 4],\n [2, -2, 2, 0],\n [0, 2, -3, 2],\n [4, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1446
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -3, -2],\n [-2, 4, -2, 2],\n [4, 4, -1, 2],\n [-4, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-315
|
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, -1, -1],\n [-4, -4, 2, 2],\n [-1, 2, 4, 0],\n [-1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1157
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -4, 2, -1],\n [-4, 4, -3, -1],\n [2, -3, -4, 1],\n [-1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2322
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -1, -2],\n [0, 2, 2, 4],\n [-1, 2, -3, 2],\n [-2, 4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
325
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, 0, -3],\n [-4, 0, 3, 4],\n [3, 2, 4, -3],\n [3, -4, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8366
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, -2, 2, 0],\n [0, 2, -3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
422
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 2, 2, 0],\n [2, 3, 1, 0],\n [2, 1, -2, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
302
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -4, 4, 1],\n [-4, 2, 2, -2],\n [4, 2, 4, 0],\n [1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, 1, -2],\n [-3, 2, -3, -2],\n [0, 3, -3, -2],\n [1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-434
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 3],\n [0, -1, 2, 1],\n [1, 2, -1, 2],\n [3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4467
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -2, -3],\n [0, 4, 2, 2],\n [0, -2, -3, 1],\n [2, -4, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2358
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -4, -3],\n [-4, 2, -1, 2],\n [-2, -2, -3, -4],\n [2, -4, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
990
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -2, 3],\n [1, -1, 2, -1],\n [-2, 2, -4, -2],\n [3, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3119
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -4, 3],\n [-4, 0, 2, -3],\n [0, -3, 2, 2],\n [2, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 3, 0],\n [2, 0, 2, -2],\n [0, -1, 4, 1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1280
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -4, -1],\n [4, 2, -2, 0],\n [-3, 4, 0, -3],\n [-2, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 4, 3],\n [-1, 1, 2, -2],\n [-2, -4, -4, 1],\n [3, 1, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11656
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-1, 1, -2, 4],\n [-1, 2, 2, 0],\n [-2, -3, -3, -3],\n [-1, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, 0, 2, -4],\n [-2, 2, -3, 2],\n [-2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
95
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, 4],\n [0, -2, 4, -2],\n [4, -4, -2, 4],\n [-1, -4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1003
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, -2, 0],\n [-3, 3, -1, 4],\n [-2, -1, -3, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6235
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, -3, -3, 1],\n [-3, -3, 2, -1],\n [-3, 2, 2, -3],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3, 1],\n [-2, -3, -3, -3],\n [-2, -2, 1, 4],\n [-1, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1578
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 4, -1, 2],\n [2, -1, 2, -2],\n [2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
171
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, 4],\n [-3, -1, 0, -3],\n [4, 1, 2, 4],\n [-1, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4436
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -1, 2],\n [0, -3, 1, 1],\n [-1, 1, 4, 2],\n [2, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
635
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -2, 0],\n [1, -4, 0, -2],\n [-2, 0, 1, -1],\n [0, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2642
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, -1, -2],\n [1, 3, 0, 1],\n [-1, 0, -4, 2],\n [-2, 1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
935
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, -1, 0],\n [-3, 1, -1, 4],\n [1, 3, 0, 2],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1079
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -1, 4],\n [-2, 4, -4, -3],\n [1, -4, 4, -3],\n [-3, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1450
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, -3, -4, -3],\n [0, -4, -3, 2],\n [2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1637
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [-3, -2, -2, -1],\n [-1, 0, -2, -3],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
579
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 1, 1],\n [-4, -2, -2, -3],\n [-4, -2, 3, 2],\n [-4, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-71
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, 1, 4],\n [3, 0, 0, 0],\n [1, 0, 2, 1],\n [4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6174
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 1, -1, 0],\n [1, -4, 3, -1],\n [-1, 3, 3, -1],\n [0, -1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
761
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -4, -2, 0],\n [0, -2, 3, -4],\n [-2, 0, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1547
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 3, 1],\n [1, 4, 3, 3],\n [-1, -3, -1, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1932
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[1, 0, -2, -2],\n [0, 1, -2, 2],\n [-2, -2, 4, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
197
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, -2, -1],\n [4, 1, -4, 0],\n [-1, -2, -4, 3],\n [1, -1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3446
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -1, 0],\n [-3, 2, -1, 1],\n [-1, -1, 3, 1],\n [0, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -1],\n [0, 1, 1, 0],\n [0, 1, -4, 0],\n [-1, 0, 0, -2]]?\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^4 where A is:\n[[-4, 0, 2, 0],\n [0, 2, -2, -1],\n [2, -2, 4, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2982
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 0, 2],\n [3, 0, 1, 3],\n [0, 1, -2, 0],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5204
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 4, -2],\n [-4, -3, 2, 3],\n [0, -4, 1, -3],\n [-2, 1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, 4, -1],\n [-4, -1, -2, 2],\n [-2, 3, 2, -3],\n [2, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1174
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -2, 0],\n [2, -1, 1, 4],\n [-2, 1, 1, -2],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2601
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0, 0],\n [-3, 2, 1, 0],\n [0, 1, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
618
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -4, 4, 3],\n [-2, 4, 2, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3722
|
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, -2, 3],\n [3, -1, 3, -3],\n [2, -4, -2, 0],\n [-3, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1250
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -1, 3, 4],\n [-3, 1, 0, 3],\n [3, -4, -4, 1],\n [3, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 3, 3, 3],\n [-4, 0, -1, -3],\n [2, 0, -2, 3],\n [0, 0, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1406
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, -1],\n [-3, -1, 1, 0],\n [0, 1, 3, -1],\n [-1, 0, -1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-53
|
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, -2, 0],\n [-1, -4, 3, -1],\n [-2, 3, 1, 4],\n [1, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
916
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, 1, 0, -2],\n [1, 3, 0, 4],\n [0, 0, -1, 4],\n [-2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-469
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, 4],\n [-2, 3, 2, -3],\n [-2, 2, 4, 2],\n [4, -3, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
172
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, 0, 0, 1],\n [0, 3, 0, 0],\n [0, 0, 4, -4],\n [1, 0, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 3, -2, -1],\n [-1, -4, -3, 0],\n [1, -4, 3, 3],\n [-1, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-179
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, 1, -4, -2],\n [-2, -4, 4, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
648
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, -2, 0, -2],\n [-2, 0, -4, 2],\n [0, -4, -1, -1],\n [-2, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
549
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -3, 2, 3],\n [-4, 0, 2, -3],\n [3, 4, 3, -1],\n [1, -1, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
540
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -2, 1],\n [-4, -4, 0, 0],\n [4, 1, -2, -3],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
484
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-1, 3, 4, 4],\n [-4, -1, 0, -2],\n [2, 1, 2, 3],\n [2, -1, 2, -4]]?\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, -3, 0, 4],\n [-4, -2, 2, -4],\n [1, -2, 1, 3],\n [1, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-224
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-3, -1, 2, -1],\n [4, -2, -1, -1],\n [-4, 0, -4, 4],\n [-3, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[4, 0, -1, -2],\n [1, -2, 0, 4],\n [0, 2, -3, -3],\n [-3, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, -2, -4],\n [2, 0, 3, -1],\n [-3, 4, 2, 2],\n [4, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -1],\n [0, 1, 0, 0],\n [0, 0, -1, 0],\n [-1, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
124
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 1],\n [2, 2, 0, 2],\n [0, 0, -1, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
647
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, 1, 1, -1],\n [-4, -1, -2, -4],\n [4, 0, 2, 1],\n [-2, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-77
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -1, -2],\n [2, 1, -4, 1],\n [4, 0, 0, 3],\n [-3, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1034
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, -1],\n [-1, -4, 1, 4],\n [1, 1, 0, 3],\n [-1, 4, 3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
135
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -3, -1],\n [2, -1, -2, -4],\n [0, -4, -3, -1],\n [4, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2901
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [1, 1, 3, -2],\n [-2, 3, -3, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-422
|
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, -2, 2, 0],\n [0, 2, -1, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
576
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -1, -2, 1],\n [-1, -2, -1, 0],\n [-2, -1, 4, 0],\n [1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
446
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 2],\n [-1, 2, 2, -1],\n [0, 4, 0, 3],\n [4, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -2],\n [0, -3, 0, 1],\n [-2, 0, -2, 2],\n [-2, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3006
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, 3],\n [0, 4, 2, -3],\n [-3, 4, -3, 0],\n [-4, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-95
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 0],\n [0, -4, -1, 2],\n [-1, -1, 0, -3],\n [0, 2, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
787
|
MATH
|
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