messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-4, -3, -1, 4],\n [1, 0, 0, -4],\n [3, 4, -4, 4],\n [4, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 4, 0],\n [-3, 1, 4, 3],\n [-1, -1, 3, 3],\n [-1, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-170
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -1, 1],\n [2, -1, 3, 4],\n [-1, 3, -3, 4],\n [1, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3238
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 1, 0, 0],\n [1, -1, 0, 0],\n [0, 0, -1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 1, -1],\n [2, 3, 0, 0],\n [1, 0, 0, 2],\n [-1, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
279
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 4, 1, -2],\n [2, 0, -1, 0],\n [-4, -1, -1, -4],\n [3, -4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1909
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 1, 0],\n [-3, -2, -4, 2],\n [1, -4, -1, 3],\n [0, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7817
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -1, 0],\n [-3, 4, 0, 0],\n [4, -3, 2, -2],\n [2, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
461
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 2],\n [0, 1, 4, 0],\n [0, 4, -3, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 0, -2, -1],\n [0, 0, -4, 2],\n [-2, -4, 3, -2],\n [-1, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-760
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 3, 2],\n [-1, -1, 1, 2],\n [3, 1, 1, 2],\n [2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
802
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -2, -2],\n [2, 4, 0, -1],\n [-2, 0, -3, -2],\n [-2, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
939
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 4, 2],\n [0, 1, 0, -1],\n [4, 0, 4, 2],\n [2, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9450
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 4],\n [0, -4, 0, 2],\n [0, 0, -3, 0],\n [4, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
697
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -4, -4],\n [3, 3, 3, -3],\n [3, 3, 0, -4],\n [0, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
878
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[3, 2, 0, 2],\n [2, 3, 2, 4],\n [-1, -4, 0, 4],\n [-4, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-118
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, -1, -1],\n [-1, 2, 2, -2],\n [-2, 3, 2, 1],\n [4, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2966
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 3, -2, 0],\n [2, -2, -1, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1301
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 2, -1],\n [-1, -2, 1, -2],\n [-3, 4, -1, 4],\n [3, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, -1, -2],\n [-3, 4, 4, 0],\n [-1, 4, 3, -1],\n [-2, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1736
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, 0, 2, -2],\n [0, 2, 0, -2],\n [2, 0, -2, -2],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, -3, -2],\n [2, -1, 0, 0],\n [2, 2, -3, 1],\n [0, -1, 2, 2]], determine the value at position (2, 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[[2, 3, -2, 0],\n [-1, -3, 3, -2],\n [-2, 0, -1, 3],\n [4, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
877
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 2, 3],\n [-2, -4, -1, 2],\n [3, 0, -4, 1],\n [4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1082
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, 4],\n [2, 1, 0, -1],\n [2, 0, -2, 0],\n [4, -1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9592
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -2, 2],\n [-2, 1, 2, 0],\n [-2, 2, -4, -4],\n [2, 0, -4, 1]]\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 (4, 1) of the result:\nA =\n[[3, 1, 2, -2],\n [1, 1, 0, -1],\n [2, 0, 3, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -4],\n [-3, 1, 0, 2],\n [1, -1, -3, 0],\n [-4, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1196
|
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, 0, 2, 0],\n [0, 2, 4, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3306
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -1, 0],\n [-4, -4, 0, 0],\n [-1, 0, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2898
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, -4, -2],\n [1, -4, 2, 1],\n [-4, 2, -3, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8977
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 4],\n [3, -1, -1, -1],\n [4, 0, 0, 3],\n [-3, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
266
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-4, -4, 4, -2],\n [-1, 0, -1, -1],\n [-4, 4, -3, 2],\n [-4, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 0],\n [0, 3, -2, -3],\n [-2, -2, -2, 2],\n [0, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
402
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 2],\n [0, -4, 2, 4],\n [2, 2, 2, 3],\n [2, 4, 3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-852
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, 2, 4, -2],\n [2, -3, 0, -2],\n [4, 0, 2, -2],\n [-2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1672
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, -1, 2, 3],\n [-2, 2, -3, 0],\n [-2, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
213
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, 3],\n [-3, -2, -3, 1],\n [2, 3, 1, 3],\n [-2, 0, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
582
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, -4],\n [3, 2, -2, 2],\n [2, -1, -1, 3],\n [4, 3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
868
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -1, 3],\n [-4, 3, -3, -4],\n [1, -2, -2, 1],\n [-2, 3, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5866
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, -2],\n [0, 1, 1, -2],\n [2, 1, -3, 2],\n [-2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
49
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, 2, 0],\n [1, 1, 2, 0],\n [2, 2, -4, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-69
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, -4, 1],\n [3, -4, -3, 4],\n [0, 4, -3, 0],\n [-1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4567
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, -4],\n [-1, 4, 4, -4],\n [-4, -1, 4, -3],\n [1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 0],\n [-2, 4, -2, 2],\n [-2, -2, 1, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 3, 0],\n [-2, -2, 3, -1],\n [2, 4, -2, 1],\n [1, 2, 1, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-131
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, 2, -2],\n [4, 1, 0, 2],\n [2, 0, 4, -1],\n [-2, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1755
|
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, 2, 0],\n [-2, 2, 2, 2],\n [-2, 0, 4, -4],\n [-2, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3280
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -3],\n [3, -1, 2, 2],\n [2, 0, -1, -2],\n [-1, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1571
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 3, 4],\n [0, 3, -1, -1],\n [-4, 1, -1, 1],\n [4, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
102
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 2, 0, -1],\n [2, -2, 0, 1],\n [0, 0, 0, 2],\n [-1, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 2, -4],\n [-2, 4, 4, -3],\n [-3, 3, -2, -2],\n [2, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1360
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, -4],\n [4, 3, -4, 4],\n [-2, -4, 0, 4],\n [-2, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3942
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 0],\n [0, 2, -2, 2],\n [0, -2, 2, 1],\n [0, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
394
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -4, 2],\n [3, -3, 1, 3],\n [-4, 4, -1, -3],\n [-4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-90
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 2],\n [1, -1, 1, -2],\n [0, 1, -4, 2],\n [2, -2, 2, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 2, -2],\n [0, 4, -2, 3],\n [2, -2, 1, 1],\n [-2, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5134
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, -2, 1, -4],\n [-2, -2, 2, 0],\n [1, 2, -2, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
661
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 3, 2, 2],\n [-3, -3, -2, -3],\n [1, 1, 2, 0],\n [-3, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
608
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[0, -2, -3, 0],\n [4, 2, 1, 4],\n [-2, -1, -2, -3],\n [-4, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, 2, -2, -4],\n [2, 1, 2, 0],\n [-2, 2, -4, 0],\n [-4, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1380
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, 1, 1, 4],\n [4, -1, 4, 2],\n [-3, 1, 3, -3],\n [2, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -1, 2],\n [0, 1, 0, -3],\n [-1, 0, -1, -2],\n [2, -3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2797
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -3, -3],\n [2, -3, 1, 3],\n [4, -4, 2, 4],\n [1, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
904
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 4],\n [-1, -1, -1, -2],\n [2, -1, 3, 2],\n [4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8439
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 2, 2],\n [0, 2, 2, 1],\n [0, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 0, 1],\n [4, -1, 1, 0],\n [0, 1, -2, 2],\n [1, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3054
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 1, -3],\n [0, -1, -3, -1],\n [0, -1, -3, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3046
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, 1, 0, 1],\n [1, -4, 0, -1],\n [0, 0, 1, 0],\n [1, -1, 0, 3]]?\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[[2, -2, -3, 1],\n [0, 3, -4, -3],\n [-2, -3, 4, 2],\n [4, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1411
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[0, -3, 3, 3],\n [2, 2, -4, -1],\n [4, 4, -1, 4],\n [4, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-477
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 2, -3],\n [4, -2, 4, 1],\n [-1, 2, -3, -4],\n [1, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-399
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, 1],\n [-2, -2, 3, 2],\n [-4, 0, -4, 3],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-138
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, -1, 0, 4],\n [-1, 0, 1, 1],\n [0, 1, -2, 0],\n [4, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 1, -2],\n [-3, -2, 0, -2],\n [1, 0, 3, 2],\n [-2, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5186
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, 0, 0],\n [1, -3, 4, -4],\n [3, -1, -3, 3],\n [4, -2, -2, -2]]?\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 absolute values of all entries of the result:\nA =\n[[-3, 2, 4, 0],\n [2, -2, -1, 2],\n [4, -1, 3, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5694
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 1, -4],\n [-3, -4, 2, -2],\n [1, 2, -3, 2],\n [-4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12077
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -4, 2, 0],\n [-4, -1, -3, -3],\n [2, -3, -4, -2],\n [0, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
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, -1, 1],\n [-2, 1, 1, 3],\n [-4, -3, 2, 1],\n [1, 2, 2, 2]]\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, 2],\n [-1, -3, 4, -4],\n [-4, -4, 1, 2],\n [-3, -2, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
594
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 0, -3],\n [-4, 4, 4, 0],\n [0, 1, 1, -3],\n [-4, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3489
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 0],\n [-2, 2, 3, -1],\n [0, 3, -4, 2],\n [0, -1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1093
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 0],\n [1, 4, 2, 4],\n [0, 2, -1, -3],\n [0, 4, -3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, -4, -2],\n [2, -4, -3, -2],\n [3, 0, 3, 2],\n [4, 3, 1, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 2, 2, 2],\n [1, 3, -2, 1],\n [2, 2, -2, 2],\n [4, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
61
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, -2],\n [2, 4, 1, 0],\n [0, 1, 1, 0],\n [-2, 0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
123
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 4],\n [2, -1, -4, -4],\n [-4, 4, -4, 0],\n [1, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
770
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 0, -2, 2],\n [0, -2, 4, 1],\n [0, 2, 1, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, -2, -1],\n [-2, -4, 1, 0],\n [-2, 1, 2, -1],\n [-1, 0, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3221
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, -1, -4, 0],\n [0, -4, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3599
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, 1, -1, -1],\n [0, -1, 4, -1],\n [2, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
956
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 2, -1],\n [3, -2, -2, -3],\n [-4, 1, 2, 3],\n [1, -1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1086
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, -2],\n [-4, -2, 0, -3],\n [-2, 0, 1, -2],\n [-2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1147
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [2, 4, 0, 0],\n [0, 0, 0, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 0],\n [0, 1, -2, 2],\n [2, -2, -4, 4],\n [0, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1406
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 3, 1],\n [2, 3, 3, -2],\n [-2, 3, -2, 4],\n [-4, 0, 3, 1]]?\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, 3, -3],\n [3, 0, -1, 2],\n [-2, 4, -1, 2],\n [-4, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-405
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 0],\n [2, 4, -2, -2],\n [0, -2, -1, 1],\n [0, -2, 1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
286
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 3, 0, 3],\n [3, -3, 3, 2],\n [0, 3, 3, 0],\n [3, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
291
|
MATH
|
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