messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, -4],\n [2, 3, 0, 4],\n [0, 0, -2, -1],\n [-4, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10879
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 2, 0],\n [-2, -3, -4, -1],\n [2, -4, 2, 1],\n [0, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3419
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 0, 4],\n [-2, 3, -2, -2],\n [0, -2, 1, -2],\n [4, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
916
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 3, 2, 0],\n [3, 1, 2, 0],\n [2, 2, -4, -4],\n [0, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, 0, 0, 4],\n [0, 1, 4, -3],\n [1, -4, 2, -1],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
108
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2, -3],\n [0, -2, -2, 2],\n [-2, -2, 3, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3542
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, 4, 0],\n [0, 1, 2, 2],\n [0, -3, 3, 3],\n [-3, 4, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-898
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 1, 4],\n [-1, 3, -2, 2],\n [1, -2, 0, -2],\n [4, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
293
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 1, 1],\n [0, -2, 2, 0],\n [1, 2, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1918
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -3, -3],\n [0, 0, 2, -3],\n [-2, -2, -1, -4],\n [0, -4, 4, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 0],\n [-2, 4, 3, 3],\n [-3, 2, 2, -2],\n [-1, 2, -1, 2]], determine the value at position (2, 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, 1, 0, -2],\n [1, 0, 2, 0],\n [0, 2, 1, -2],\n [-2, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1259
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, -1, -4],\n [4, -2, 2, 3],\n [4, 2, -1, 2],\n [-3, 0, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5176
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, 0, -3],\n [-1, 1, 1, 0],\n [0, 4, 2, -4],\n [-3, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1742
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, -3, -1],\n [-4, -1, -4, -1],\n [-3, -2, 2, 0],\n [-2, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1048
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 0, 2],\n [-4, -4, 3, -2],\n [1, -1, 2, -3],\n [3, 4, -1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
561
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -4, -2],\n [2, -4, -1, -2],\n [-4, -1, 3, 0],\n [-2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3821
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 0, 0],\n [0, -2, 1, 2],\n [0, 1, -3, 3],\n [0, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1879
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, -4],\n [-2, -3, 3, -3],\n [-2, 0, 0, 4],\n [0, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5030
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -2],\n [1, 3, 1, 2],\n [0, 1, -1, 0],\n [-2, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[1, 0, 1, -4],\n [0, 3, 4, 3],\n [0, 4, 3, 0],\n [-1, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-3, 1, 0, -4],\n [1, 3, 0, 0],\n [0, 0, -3, 3],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 1],\n [0, 1, -2, 0],\n [0, -2, 1, 0],\n [1, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
110
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 2],\n [-3, -2, 1, 2],\n [-2, 3, -2, -1],\n [2, -4, -1, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 4, 1, 2],\n [-1, -2, 0, -2],\n [-4, 3, 4, 1],\n [1, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
806
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 3, -4, 0],\n [3, 3, 0, 0],\n [-4, 0, 1, -1],\n [0, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1580
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, -1, 0],\n [0, 0, 0, -4],\n [2, 1, -1, 1],\n [-1, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
567
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-2, 3, -2, -4],\n [3, -3, -1, -2],\n [-2, -1, 2, -2],\n [-4, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
856
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, -2, -3],\n [4, 3, 3, -2],\n [2, -4, -2, -4],\n [3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3277
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, 3, 2, 0],\n [0, 2, 4, 2],\n [-1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
435
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 2, -2, 2],\n [0, -2, 3, 2],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 0, -1],\n [2, -3, 3, 1],\n [4, -2, 1, 2],\n [3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
376
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, 1, -3],\n [2, 4, -3, 1],\n [0, -2, 2, 0],\n [-1, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-283
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 4, 0],\n [-2, -3, 3, 2],\n [4, 3, -3, 2],\n [0, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2520
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, -2, 4],\n [0, -4, 2, -3],\n [-2, -3, 4, 1],\n [3, 4, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1332
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, 4, -3],\n [0, 3, 4, -4],\n [-4, 1, 0, -2],\n [-3, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-910
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, -2],\n [-3, 1, 3, 1],\n [-2, 0, 4, -1],\n [1, 0, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3158
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 2, -1],\n [-4, 3, -3, 2],\n [0, 0, 3, -2],\n [0, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-3, 0, -1, 1],\n [0, -1, 3, -2],\n [-1, 3, 0, 0],\n [1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-73
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, 1],\n [-3, 1, 0, -4],\n [1, -3, 4, -1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2980
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, -3, 2],\n [0, -3, 4, 3],\n [-2, 3, 3, -1],\n [-4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1749
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -1, -1],\n [-4, 4, 2, 2],\n [-1, 2, 0, 0],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1660
|
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, 0, 2],\n [3, -3, -2, 0],\n [0, -2, -2, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
778
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 1, 0, 2],\n [-2, 0, -1, 1],\n [-2, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3278
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, -4, -4],\n [-4, 4, 4, -2],\n [1, -4, -1, 2],\n [-3, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2882
|
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, 0, -2],\n [-4, 0, -1, -2],\n [0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2058
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, 0],\n [0, 1, 0, 2],\n [1, 0, 4, 2],\n [0, 2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[4, 1, -4, 0],\n [0, -3, -2, -2],\n [-4, -3, 4, -2],\n [2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -3],\n [-4, 1, 4, -3],\n [-4, 4, 2, 3],\n [-2, -1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8588
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, -3, 4],\n [-2, -4, -3, -2],\n [3, -2, 3, -1],\n [-3, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
946
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, -2, 0, 0],\n [-2, 4, 0, -3],\n [0, 0, 1, -1],\n [0, -3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 3],\n [3, 3, -2, 3],\n [3, 1, -2, -3],\n [0, -3, 4, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-632
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, 1, 2, -1],\n [0, -2, 4, 3],\n [-2, -2, 1, -1],\n [-1, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 2, -4, 0],\n [4, 0, 2, 3],\n [-2, -3, 4, 4],\n [3, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 0, 2, 4],\n [-1, -3, 3, -1],\n [3, -2, 3, -1],\n [-2, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, 0, -4, -4],\n [1, -1, 2, 0],\n [3, 1, 4, -3],\n [0, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-42
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 1, -4],\n [-3, -2, 3, -2],\n [3, 2, -1, 2],\n [-4, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, -1, 4],\n [3, 4, -1, -2],\n [0, 1, 0, -2],\n [-3, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
643
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -4, 0],\n [-4, 2, 2, -1],\n [2, 1, -1, 0],\n [0, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2099
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, 1, 0],\n [3, -2, 0, 0],\n [1, 0, 0, -2],\n [0, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
343
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, 4, 0, 2],\n [4, -3, -2, 0],\n [0, -2, 0, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-3
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-2, -2, -2, 0],\n [-2, 4, 0, 0],\n [-2, 0, -4, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-80
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, -1, 4],\n [-2, 4, 1, 3],\n [2, -3, -1, 2],\n [-2, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1943
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, 2, -3],\n [0, 4, 4, 1],\n [-2, -4, -1, 2],\n [-1, 4, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1843
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1, 0],\n [2, 2, -2, 3],\n [1, -2, -2, 2],\n [0, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
758
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, -1, -3],\n [-4, -2, -1, 4],\n [-1, -4, -1, 2],\n [-4, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-891
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 1, 0],\n [-4, 0, 2, 3],\n [1, 2, 3, 0],\n [0, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 3, 1, -3],\n [1, 3, 2, -3],\n [1, 2, -4, -1],\n [-3, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 1],\n [1, 0, 2, 2],\n [-4, 2, 1, -1],\n [1, 2, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
972
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 2],\n [0, 3, 0, 1],\n [0, 0, -2, 0],\n [2, 1, 0, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 2, 0, -4],\n [2, -2, 2, -2],\n [0, 2, -2, -2],\n [-4, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1568
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, -2],\n [1, -4, -1, 0],\n [1, -1, -3, 3],\n [-2, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
471
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -1, -3],\n [-3, -2, 1, -1],\n [3, 1, 0, 2],\n [0, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, 0, -2, 0],\n [0, 1, 0, 2],\n [-2, 0, 2, -2],\n [0, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -4, 3, -2],\n [4, -2, 4, -3],\n [-2, -2, -3, -4],\n [-4, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2854
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, 4, 0, 1],\n [-1, -1, -1, 2],\n [-4, -3, 4, 3],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -3, 2],\n [-4, 0, -2, -1],\n [-2, 0, 4, 2],\n [1, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-20
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -1, 0],\n [4, 2, 0, -2],\n [-4, -4, -4, 3],\n [3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
805
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, 1, 2],\n [-2, 4, 0, -2],\n [1, 0, 4, -2],\n [2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 1, 3, 0],\n [1, -2, 1, 0],\n [3, 1, 4, -1],\n [0, 0, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6060
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, 2],\n [2, -3, -1, 3],\n [2, -1, 4, -2],\n [2, 3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
911
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -3, -3],\n [3, 2, -1, -2],\n [0, 0, -3, -1],\n [-3, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4408
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, 4, -2],\n [0, -4, -2, 2],\n [4, -2, 3, -1],\n [-2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-559
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, -2, 0, 2],\n [-2, 0, -1, 0],\n [0, -1, -4, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0, 2],\n [-1, -4, 2, 0],\n [0, 2, -1, 0],\n [2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-88
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, -2, 2],\n [0, 4, 1, 3],\n [-2, -2, -4, -2],\n [-1, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
164
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 0, -2, 0],\n [0, -4, -1, -3],\n [-2, -1, 4, -2],\n [0, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -3, 0],\n [4, 0, 1, 1],\n [1, -1, 1, -4],\n [3, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4576
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 3, 0],\n [2, 2, 2, 2],\n [3, 2, -3, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8693
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, 2, -2],\n [4, -4, 2, -1],\n [2, 2, 3, 2],\n [-2, -1, 2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-836
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, 2, 1, 2],\n [3, -4, 3, 2],\n [1, -4, 4, 2],\n [4, 3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
119
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 1, 1],\n [-1, -2, -4, 0],\n [-2, -3, 2, -3],\n [-2, 2, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3499
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, -2],\n [-2, 1, -4, 2],\n [-3, -2, 2, 2],\n [-2, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
317
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 1, -2],\n [-2, -1, 2, 2],\n [1, 2, -4, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 2, 0],\n [-2, -3, -2, 2],\n [2, -2, -4, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-207
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -3],\n [1, -4, -4, -1],\n [2, 4, 3, 2],\n [3, 3, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4568
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, 1, -4],\n [-4, -2, -3, -2],\n [1, -3, 0, 0],\n [-4, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-863
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 1],\n [0, 0, 4, 0],\n [-2, 4, -3, 1],\n [1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
459
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 3, 1, 1],\n [-2, 3, -3, -4],\n [1, -2, 4, 4],\n [4, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 3, 2, 3],\n [4, -4, 2, 4],\n [0, -3, 0, 2],\n [3, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
226
|
MATH
|
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