messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 4, -4, -1],\n [-2, 3, 2, -1],\n [3, -2, -1, 3],\n [-2, 2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 2, 0],\n [2, 0, -1, 1],\n [2, -1, 1, -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"
}
] |
2313
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 2, -2],\n [0, 3, -2, 2],\n [1, -2, -1, 1],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
738
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -2, -4, 0],\n [-2, 0, -4, -1],\n [-3, -2, -1, -3],\n [0, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12931
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -4, -2],\n [3, 0, -2, -3],\n [-4, 3, 4, 2],\n [1, 1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-402
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, 3, -1],\n [4, -3, 2, -2],\n [2, -3, -2, 3],\n [3, -4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 1, -4],\n [-3, 2, -2, -3],\n [4, 3, 1, -4],\n [2, -4, -1, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-651
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 4, -2, 0],\n [4, 3, 2, 0],\n [-2, 2, 1, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1001
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 3, 4],\n [-3, -2, 1, 2],\n [1, -1, -2, 2],\n [2, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
576
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, -1],\n [-2, 2, 2, 1],\n [-1, 0, 4, 0],\n [-2, 2, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -1],\n [2, -4, 1, 4],\n [0, 1, 4, 0],\n [-1, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1720
|
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, -1, 2],\n [3, -3, -1, 2],\n [-3, 2, -4, 4],\n [4, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8052
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, 0, 1, 2],\n [0, -3, -2, 0],\n [1, -2, -2, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, -3],\n [-2, 4, -3, 0],\n [0, -3, -3, -2],\n [-3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11626
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -2, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
329
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 1, 0, -2],\n [1, -4, 0, 1],\n [0, 0, 4, 0],\n [-2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-65
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, 2],\n [3, 1, -2, -2],\n [3, -1, -3, 2],\n [-2, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
338
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -2, 2],\n [1, -2, 2, 1],\n [1, -3, -3, 1],\n [1, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
304
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, -1, -3, 4],\n [0, -3, 1, -4],\n [0, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 0],\n [2, -4, 0, 2],\n [0, 0, -4, 2],\n [0, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3225
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -4, 0],\n [-3, 4, -1, 4],\n [-3, 1, 4, 3],\n [3, 2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
710
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 1, -1, -1],\n [4, -3, 3, 0],\n [-1, -2, 4, 3],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4515
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -3],\n [-1, -2, -1, -3],\n [0, -4, -1, 2],\n [2, 4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
613
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, 3, 3],\n [-4, -4, 1, -2],\n [-3, -1, 2, 4],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
831
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -3, 0],\n [2, -2, 3, -3],\n [2, -1, -1, -2],\n [3, 2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 3, -1],\n [3, 0, 2, 4],\n [-1, -1, 3, 3],\n [-2, 3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 2, -2, 0],\n [2, -2, 1, -4],\n [0, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, 3],\n [2, 1, 2, -3],\n [-2, 3, 2, -1],\n [2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, -2, -1],\n [0, 4, 1, 0],\n [-2, 1, 4, 1],\n [-1, 0, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8054
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -4, 2],\n [1, -1, -2, -3],\n [-2, 4, -1, 0],\n [3, -1, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7122
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -2, -4],\n [0, 2, -4, 2],\n [-2, -4, -3, 1],\n [-4, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0, 0],\n [0, 3, 0, -2],\n [0, 0, -1, 2],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, 0, 1, 4],\n [-3, -2, -2, -4],\n [-2, 4, -2, -1],\n [2, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
275
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-3, -2, -2, -1],\n [2, 1, -4, 4],\n [-3, 3, 3, 2],\n [2, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-81
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, -2, 2],\n [-2, 1, -1, 1],\n [-2, -1, 2, 1],\n [2, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
385
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, -3],\n [3, 1, 4, -2],\n [-1, 1, 3, -1],\n [-3, 3, -4, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, -2, -1, 2],\n [-2, -2, 2, 2],\n [-1, 2, 2, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 1],\n [1, 0, 3, -3],\n [-2, -1, -3, 4],\n [-1, 0, -2, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, -2, -3],\n [-1, -1, -4, -4],\n [-2, -3, -3, -4],\n [-2, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1811
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, 2, 0, 0],\n [0, 0, -3, -1],\n [-1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
73
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -3, -2],\n [2, 2, -2, 0],\n [-3, -2, 1, -1],\n [-2, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
913
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 1, -2, 0],\n [1, 1, -2, 1],\n [-2, -2, 4, -1],\n [0, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
69
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, -4, 2, -4],\n [2, 2, 3, 1],\n [0, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9576
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-3, -4, 1, 1],\n [2, -3, -3, 2],\n [2, -3, 1, 3],\n [3, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 4, 3, 2],\n [3, -4, 2, -3],\n [0, 3, -3, 4],\n [0, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 1, -2],\n [2, 1, -2, 1],\n [1, -2, -3, -1],\n [-2, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
525
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -2, -3, 0],\n [-2, 0, 1, 4],\n [-4, 4, -1, 2],\n [4, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -1, 2],\n [-2, 2, 4, 4],\n [4, 3, -2, -3],\n [1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
990
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, -2, -2],\n [2, -2, 0, -1],\n [0, -1, -4, 4],\n [2, 3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2071
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, -2, -1, -4],\n [-2, 4, 2, 2],\n [-1, 2, -2, -2],\n [-4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
522
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[1, 1, -4, -4],\n [3, 4, 3, 4],\n [-1, 2, 3, 4],\n [1, -1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1104
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, 2],\n [0, -1, -2, 1],\n [0, -2, 3, -1],\n [2, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
626
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -2, -1],\n [2, -1, -2, -2],\n [-2, -2, -1, -2],\n [-1, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
974
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -1, 1],\n [2, -3, -2, 2],\n [-1, -2, -4, 0],\n [1, 2, 0, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -3, 4],\n [4, -4, 1, -2],\n [-3, 3, -4, 0],\n [0, 1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
904
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 3, -2, 4],\n [1, -1, -1, -3],\n [-3, -1, 0, -1],\n [-1, 4, 4, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-150
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, 3, -2],\n [-1, 3, 3, 1],\n [3, 3, -3, 2],\n [-2, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1588
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -1, -1],\n [-4, 2, -1, -4],\n [4, -3, -3, -4],\n [4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
194
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, 3, 2, 4],\n [-2, 0, 1, -4],\n [2, 4, -4, 4],\n [3, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, 0, 2],\n [-2, 0, -1, 0],\n [0, -1, 0, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1254
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 2, -1],\n [4, -4, -2, 4],\n [1, 1, 3, 0],\n [-1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1105
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, -3, 4],\n [0, 0, 4, 4]]\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^4 where A is:\n[[-4, 3, -2, 0],\n [3, 3, 2, 2],\n [-2, 2, -4, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9229
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, 2],\n [-1, 0, 2, -3],\n [-1, 2, -4, 1],\n [-4, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2398
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[0, 3, -1, -4],\n [-4, -3, 3, -2],\n [-4, -1, -3, -2],\n [3, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 4, 0],\n [2, 3, 0, 0],\n [4, 0, 3, 0],\n [0, 0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -3, 0],\n [0, -3, 0, 2],\n [-3, 0, -2, 0],\n [0, 2, 0, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-63
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 0, 2],\n [0, -1, -4, 1],\n [0, -4, -4, -1],\n [2, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5489
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -2],\n [0, 0, -1, 2],\n [0, -1, -4, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, 3, 2, -4],\n [0, 2, 4, 2],\n [0, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1742
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 1, 2],\n [2, 1, 2, 2],\n [1, 2, 0, 2],\n [2, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14580
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, 4, 0],\n [3, -3, 1, 0],\n [4, 1, -3, 1],\n [0, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1771
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 0, -2, 0],\n [0, -1, 4, -3],\n [-2, 4, -4, 0],\n [0, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 4, -3],\n [-2, -1, -4, 2],\n [1, 1, -2, -3],\n [-3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-638
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 4],\n [3, 0, -4, 3],\n [-3, 1, -4, -4],\n [-1, -3, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5156
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -1, 4],\n [1, 0, -1, 4],\n [-2, -4, 0, 2],\n [-2, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
551
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, -4, 0],\n [-2, 3, 2, 2],\n [-4, 2, 3, -2],\n [0, 2, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1113
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3, -1],\n [2, -4, 0, 1],\n [-1, 3, -3, 4],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -4, -3],\n [-2, -4, 4, -2],\n [-4, -1, 3, 2],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
112
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, 0],\n [0, -1, -1, -4],\n [2, -1, -3, 1],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
639
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, -4],\n [-3, -2, -1, 3],\n [2, 2, -3, -4],\n [-1, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-102
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, 0, 1],\n [1, 1, 1, -2],\n [0, 1, 2, 2],\n [1, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
250
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 1],\n [-1, 1, -3, 1],\n [2, 0, -3, 0],\n [4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
275
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, -3],\n [-4, 0, -1, 3],\n [4, -2, 3, -2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
939
|
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, 2],\n [4, 3, 0, 0],\n [1, 0, 0, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7905
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 2],\n [4, -4, 1, 1],\n [1, -1, -2, 3],\n [2, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1274
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 2],\n [-1, -2, -1, 0],\n [0, -1, 2, 0],\n [2, 0, 0, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -3, -2, 1],\n [2, 1, -4, 2],\n [2, -3, 0, 2],\n [-1, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 0],\n [0, -1, -1, 2],\n [0, -1, 4, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
615
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -3, 0],\n [0, -3, -2, -2],\n [-3, -2, 4, -1],\n [0, -2, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
859
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 1, 0],\n [4, 3, 2, -1],\n [1, 2, 3, -2],\n [0, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1246
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -2, -2],\n [0, -3, 2, 0],\n [-2, 2, 4, 2],\n [-2, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4085
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-2, -3, -4, 0],\n [-3, 0, 0, 0],\n [-4, 0, -4, 0],\n [0, 0, 0, -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 (1, 3) of the result:\nA =\n[[-4, 0, -4, 2],\n [0, 2, -4, -2],\n [-4, -4, -1, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-216
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0, 2],\n [3, 3, -3, 1],\n [-4, 1, 3, 1],\n [3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
53
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, -3, -3],\n [-2, -4, -1, 2],\n [3, -2, 4, 2],\n [4, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1252
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[4, -1, 1, 0],\n [3, 0, -4, 2],\n [0, -4, -3, 2],\n [-2, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
147
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, -2, -2],\n [4, -3, -3, 3],\n [-3, -3, 4, 4],\n [2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1003
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 4, -1],\n [3, 1, -1, 4],\n [2, -2, 1, 2],\n [1, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, -2, 1, -1],\n [-2, -2, 0, 1],\n [1, 0, 2, 2],\n [-1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
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