messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, 4, 0, -2],\n [4, -1, -2, -2],\n [0, -2, -1, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-98
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -3, 0],\n [-2, 2, -1, 0],\n [-3, -1, 3, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2596
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 1, 3],\n [-2, -1, 0, -2],\n [1, 0, -4, 1],\n [3, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
991
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 4],\n [0, 1, -2, -1],\n [0, -2, 2, -2],\n [4, -1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 2, -2],\n [-2, 0, -3, 1],\n [-2, -4, -2, -4],\n [-4, 1, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 0, 0],\n [4, -2, -3, 1],\n [0, -3, 0, 2],\n [0, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
198
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, -4, 3],\n [1, 1, -1, 3],\n [-2, -4, 0, 4],\n [4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
103
|
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, 0],\n [3, -2, 2, -1],\n [2, 2, -3, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
535
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, 0],\n [-1, 0, 2, 2],\n [2, 2, -2, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2891
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -3, -1],\n [-1, -3, 2, 1],\n [-2, 3, 0, -1],\n [1, 1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, 3],\n [-2, 4, 2, 1],\n [0, 2, 3, 1],\n [3, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
826
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 1],\n [0, 4, 0, -2],\n [0, 0, -4, 1],\n [1, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, -1, 0, 0],\n [0, 0, -3, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
611
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, 3],\n [-3, 1, 4, 3],\n [0, 0, -1, -4],\n [-3, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4904
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -1, -1],\n [0, -2, 1, 0],\n [-1, 1, 4, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
913
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 3, 2],\n [-3, 3, 3, -4],\n [0, 4, 3, 0],\n [-2, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1148
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, -1, -2],\n [0, -2, 0, 0],\n [-1, 0, -2, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1301
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -4, 4],\n [1, -2, -1, 3],\n [-4, -2, -1, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4094
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -3, 3],\n [-4, -1, 4, -3],\n [1, -3, 4, 4],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2074
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 2, -3],\n [-3, -3, 2, -4],\n [-3, 1, 3, -1],\n [-2, 1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
812
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 1, 0, 0],\n [1, 4, -2, 0],\n [0, -2, 2, 2],\n [0, 0, 2, -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[[2, 2, -2, 2],\n [2, 2, -1, 1],\n [-2, -1, -1, 2],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1288
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, 4, 2, 4],\n [3, 1, 1, 4],\n [4, -1, 4, 0],\n [2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2076
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, -2, 3],\n [-1, 2, 4, 2],\n [3, 1, 1, -3],\n [-2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
523
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 0, -2, 0],\n [0, 2, 0, 0],\n [-2, 0, 3, 3],\n [0, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -4, 4, 3],\n [4, -1, 4, 2],\n [2, 4, -4, -3],\n [4, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 1, 4],\n [-1, -1, 1, -2],\n [4, 1, 1, -4],\n [1, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2548
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 2],\n [-4, 2, 3, -2],\n [3, -1, 1, -2],\n [1, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1102
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, -3],\n [2, 4, -4, 4],\n [2, -3, 3, 2],\n [4, -1, -3, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-419
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, -4],\n [-2, 4, 0, 0],\n [0, 0, -1, 1],\n [-4, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
924
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 1, -3],\n [0, 2, 2, 0],\n [1, 2, 3, 1],\n [-3, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, 2, 4, 0],\n [2, 2, -2, -2],\n [4, -2, 1, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-392
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 2],\n [2, -2, 3, -3],\n [-4, 0, 0, -1],\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"
}
] |
937
|
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, 0, -2],\n [0, 3, -2, 0],\n [0, -2, 3, -2],\n [-2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
645
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -3, -2],\n [3, -3, -4, 1],\n [2, 1, -1, -1],\n [-2, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
110
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, 0, 1, 3],\n [3, -4, 4, -1],\n [0, 1, -2, 4],\n [-4, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 2],\n [0, 0, 2, -2],\n [2, 2, 0, 4],\n [2, -2, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, -1, -3, -3],\n [-3, 0, -4, 1],\n [2, 0, 3, 1],\n [1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, 0, -1, -1],\n [2, -1, 0, 2],\n [-2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -2, 4],\n [-1, -3, 2, 0],\n [-2, 2, -4, 1],\n [4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-114
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, 0, -4, -4],\n [1, 3, 3, -2],\n [-1, -1, 4, -2],\n [0, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 3, 3],\n [2, -3, 1, -4],\n [1, -4, -3, 0],\n [-1, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9796
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -1, 4, -2],\n [-1, -2, 0, 1],\n [4, 0, -3, -1],\n [-2, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, -4, -1],\n [1, 4, 0, 3],\n [-4, 0, 4, -1],\n [-1, 3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-17
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, 3, -3],\n [3, -3, 1, -4],\n [3, 2, 4, -2],\n [1, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1869
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 3],\n [4, -4, 0, -4],\n [-1, 2, 1, 4],\n [1, 1, 3, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-169
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, 2],\n [-4, 0, 0, -3],\n [2, 0, 2, 0],\n [2, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2298
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, -4, 3, 2],\n [0, 3, 2, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8188
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 4, -1],\n [-1, 0, -2, 4],\n [3, -2, 1, 2],\n [-2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1751
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, -1],\n [-2, 0, -1, 0],\n [-1, -1, 0, -1],\n [-1, 0, -1, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, 4],\n [-3, 4, -4, -1],\n [3, 3, -1, -3],\n [0, 4, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
708
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 2, -4],\n [-3, 3, -1, 2],\n [2, -1, -4, 2],\n [-4, 2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2275
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -3, 4, 3],\n [3, 3, -1, -2],\n [-2, 0, -4, 2],\n [-4, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6354
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 2, 1],\n [-2, 3, -2, -2],\n [2, -2, 0, 2],\n [1, -2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
362
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, 4, -1],\n [-3, 1, 1, 2],\n [4, -4, -1, 2],\n [-4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3, 3],\n [3, 1, 4, -2],\n [4, 0, -2, -2],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 4, 3],\n [-1, -4, -4, 3],\n [3, 1, -3, -2],\n [-2, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -2, 2],\n [-2, -2, -2, 0],\n [-2, -2, -2, 2],\n [2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1008
|
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, 0, 0],\n [-1, 3, -3, 2],\n [0, -3, -4, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2690
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, 1, -4, 0],\n [0, -4, -1, 2],\n [2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
436
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 2, 4],\n [-2, 3, 0, -2],\n [2, 0, -2, 0],\n [4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1554
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, 0, -2, 0],\n [0, -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"
}
] |
411
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -3, 0, -4],\n [-4, -1, -1, -4],\n [-3, -2, 4, 3],\n [-3, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 0, 1],\n [1, 1, 3, 0],\n [0, 2, -4, 1],\n [3, -3, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
218
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 3, 1, 0],\n [3, 3, -3, -4],\n [1, -3, -3, 0],\n [0, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-284
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, 0, 4],\n [0, 0, 0, -4],\n [4, -2, 3, 0],\n [1, -4, -3, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -1],\n [-1, 2, 4, -3],\n [4, -3, 1, -4],\n [0, 3, -3, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, -1, -2, 2],\n [-1, 0, -1, 2],\n [-2, -1, -2, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, 0, 0],\n [0, 1, 2, -4],\n [0, 2, 3, -2],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1008
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, -2, 4, 0],\n [-2, 2, 0, 1],\n [4, 0, 2, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
177
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-2, -4, -4, 3],\n [4, -3, 4, 4],\n [4, 0, 0, 0],\n [1, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 4, 1, 2],\n [0, 1, -1, -2],\n [0, 2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
462
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, -3, 1, 1],\n [0, -3, 3, 4],\n [0, 0, -4, -2],\n [2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-609
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, -2, -2],\n [0, -3, 0, 1],\n [-2, 0, 2, -1],\n [-2, 1, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
197
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -4, -2],\n [2, -2, -4, 0],\n [-2, -4, 2, -2],\n [0, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3564
|
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, 0, 4],\n [2, 0, -2, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2613
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -2, -2],\n [-4, 1, -1, 1],\n [-2, -1, 2, -1],\n [-2, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3132
|
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, -1, -1],\n [-2, 1, 3, -4],\n [-2, 2, 4, -3],\n [4, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3982
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 2, -2],\n [-1, 3, -3, 3],\n [-2, -4, -3, -3],\n [2, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1534
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, -1],\n [4, 1, 4, 1],\n [3, -1, 4, -2],\n [2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
564
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -2],\n [1, 1, -3, -1],\n [0, -3, 3, 0],\n [-2, -1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 2, 3],\n [-3, -3, -2, -2],\n [2, -2, 3, 2],\n [3, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7892
|
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, -2, 0, -2],\n [-1, 0, 1, -4],\n [2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1820
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2, 4],\n [-2, 0, -2, 0],\n [-2, -2, 4, -1],\n [4, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -4, 2],\n [2, 4, -4, 2],\n [-4, -3, 2, 2],\n [-4, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, -1, 0, 0],\n [-1, -3, -1, 3],\n [0, -1, 1, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, -3],\n [0, 2, 2, -2],\n [-2, 2, -4, -4],\n [-3, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1432
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 4, 2],\n [3, 4, -2, -2],\n [0, 1, -4, 1],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
816
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, 2, 3, 0],\n [3, -3, -1, 4],\n [1, 4, -4, -4],\n [3, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 2, -2],\n [1, 1, 0, 1],\n [-1, 1, 2, 3],\n [3, -2, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -1, -2, 2],\n [-1, -1, 0, -3],\n [-2, 0, 2, 0],\n [2, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2, 0],\n [1, 1, -1, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 2, -2],\n [2, -3, -3, -2],\n [4, -1, -4, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2724
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, 3],\n [-1, -4, 1, -3],\n [-2, 1, -2, -2],\n [2, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
730
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, 3, -4],\n [-1, 3, 1, 2],\n [3, 3, -4, -2],\n [-4, 3, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1644
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 2, -1],\n [-3, 4, 2, 1],\n [3, 3, -3, 1],\n [-4, 2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -2, 2],\n [0, -4, 4, -2],\n [-3, 0, -4, 2],\n [3, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-191
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 1, 3],\n [0, 1, 4, -2],\n [1, 4, -3, 0],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-72
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -3, 4],\n [-4, -2, -1, -4],\n [-4, 4, -3, -3],\n [-2, 3, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
898
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 0, 0, -2],\n [0, 4, 1, 0],\n [0, 1, 2, 4],\n [-2, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-54
|
MATH
|
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