messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -3, -3, 3],\n [-3, 2, -1, -3],\n [1, -1, 0, 3],\n [1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6256
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, -1, 4, -3],\n [3, -1, -4, 3],\n [1, 0, -2, 0],\n [3, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, 1, -1, -1],\n [1, 1, -2, -2],\n [-1, -2, -4, 4],\n [-1, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, -2, 0],\n [4, 2, 2, 2],\n [-2, 2, -4, -1],\n [0, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
812
|
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, -1, -2],\n [-3, -2, -1, -3],\n [4, -3, -1, -3],\n [2, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, 1, 1],\n [2, -2, 0, -2],\n [1, 0, 1, -2],\n [1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
118
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 4, 1],\n [2, 3, 0, -3],\n [-3, -1, -1, 3],\n [4, -3, -1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 3, -2],\n [-2, -1, -1, -1],\n [4, 2, 1, -3],\n [3, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
556
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 1, 0],\n [4, 3, -2, -3],\n [2, -2, 2, 2],\n [3, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -1, -4],\n [-2, 0, 2, 0],\n [-1, 2, 4, 0],\n [-4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4902
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, 4, 2],\n [-2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
858
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 1],\n [0, -2, -2, -2],\n [0, -2, -3, 0],\n [1, -2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1555
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, -1],\n [2, -2, 3, 2],\n [2, 3, 1, 2],\n [-1, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
928
|
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, 2, 2, 2],\n [-1, 2, -1, -2],\n [-3, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1570
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 4, 0],\n [-4, 1, 2, 0],\n [-2, 2, 0, 1],\n [-2, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
478
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 2, -3, 2],\n [2, 1, 2, -1],\n [-3, 2, 4, -3],\n [2, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1888
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -4, -1],\n [0, 2, -4, -1],\n [-4, -4, 4, 0],\n [-1, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13241
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, -3, -3],\n [-1, 3, 2, -1],\n [0, -1, 3, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1523
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[4, -2, 2, -3],\n [2, 2, -4, 4],\n [0, -1, -2, 1],\n [4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
48
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, -4, 0, 1],\n [2, 0, 4, -4],\n [0, 1, -4, -1]], 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 4th power of the matrix:\n[[-2, 0, 3, 0],\n [0, 3, 2, 0],\n [3, 2, 3, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2090
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[0, 1, 1, -3],\n [1, -2, 1, 0],\n [1, 1, -2, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -1, 2],\n [1, 2, -2, 0],\n [-1, -2, 3, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
109
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 3, 1, 2],\n [3, -1, -2, 4],\n [1, -2, 3, -2],\n [2, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -3, 3],\n [0, 1, 1, 0],\n [-3, 1, -1, -3],\n [3, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5324
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 1, 1],\n [2, -2, -4, -2],\n [1, -4, -3, -1],\n [1, -2, -1, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1145
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, 1],\n [4, -3, 1, 2],\n [0, 1, -1, 3],\n [1, 2, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1099
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 0, -1],\n [-3, -3, 2, 0],\n [0, 2, -4, -3],\n [-1, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7250
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 2, 4],\n [4, -3, 2, 0],\n [2, 2, 0, -3],\n [4, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-129
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 4, 1, -2],\n [4, 3, 1, -2],\n [1, 1, -4, -2],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
104
|
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, 1, 4],\n [0, -2, -2, 3],\n [-1, -1, 1, 2],\n [1, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
505
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 0, 2],\n [-1, 1, 2, 3],\n [-1, 2, -4, -1],\n [4, -4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -3, 0, 3],\n [-2, -1, 1, -2],\n [-2, 3, 2, -3],\n [4, 4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-730
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 4, 0, -2],\n [4, -2, 2, 2],\n [0, 2, 1, 2],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, -3],\n [0, -3, -3, 3],\n [0, -3, -3, 3],\n [-3, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22340
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -4, -2, 0],\n [0, -2, 3, -4],\n [-2, 0, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1210
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, -3, 4, -4],\n [3, 2, -4, -3],\n [2, 4, 2, 4],\n [2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-4, -3, -2, 0],\n [0, 1, 3, -3],\n [1, 1, -3, 1],\n [-3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, 4, -1],\n [3, -1, 4, -2],\n [-3, -1, 0, 3],\n [-2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-86
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 4, 0],\n [3, -4, 0, 0],\n [4, 0, 3, 1],\n [0, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3810
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 1, -2],\n [2, 2, -2, 2],\n [3, 1, 2, 4],\n [-4, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-188
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 2, -4],\n [-2, 3, 1, 4],\n [2, 1, 0, -1],\n [-4, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1718
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-4, 1, 4, 0],\n [1, -4, 0, 2],\n [4, 0, 4, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-492
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -1, -2, 2],\n [0, -2, -1, 2],\n [0, 2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
382
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 3, 1, 4],\n [4, -2, 4, 2],\n [-4, -1, -3, 1],\n [0, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-9
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -2, 0],\n [-1, -1, 0, 0],\n [-2, 0, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 4, 4, -4],\n [4, -3, -1, -3],\n [3, -2, -1, 2],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-180
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, -3, 2, 2],\n [-3, 1, -2, 1],\n [2, -2, -3, -2],\n [2, 1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
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, -2, 0],\n [-2, -4, 2, -2],\n [-2, 2, -3, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4641
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -3, -2],\n [2, -4, 2, 0],\n [-3, 2, 1, -3],\n [-2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9246
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 0, 1, -2],\n [0, -3, 3, 2],\n [1, 3, -4, -2],\n [-2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -3, 3],\n [2, -1, -4, -1],\n [-4, -4, 0, 4],\n [-3, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-990
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, -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 value at position (2, 2) of the result:\nA =\n[[-3, 4, -4, 0],\n [1, -4, 0, 2],\n [3, 2, 4, 0],\n [-1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
852
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, 3, 0, 0],\n [1, 0, 1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
98
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 1],\n [-3, -3, -4, -4],\n [4, -3, -3, -4],\n [0, 4, 0, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
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, 2, 3],\n [2, -2, -2, 3],\n [2, -1, -4, -4],\n [0, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7044
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, -3],\n [2, -1, 0, -1],\n [-1, 0, -1, -2],\n [-3, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -4, 4],\n [0, -1, 3, -1],\n [-4, 3, 1, 0],\n [4, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1189
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, -1, 2, -2],\n [-1, 0, 4, 0],\n [2, 4, -4, -1],\n [-2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 3, -3],\n [4, 4, 2, 4],\n [1, 0, -2, 1],\n [-1, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
404
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 3, 0, 0],\n [3, 1, 0, 0],\n [0, 0, -3, 0],\n [0, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2306
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1, -2],\n [2, -4, -4, 0],\n [-4, 4, 0, 1],\n [4, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2021
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 4],\n [-2, 3, 1, 0],\n [-3, 0, -2, 0],\n [-4, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1946
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, 1, 0],\n [-2, 3, -1, 4],\n [4, -3, -2, -3],\n [3, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
735
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0, 2],\n [2, 2, 1, 1],\n [0, 1, -2, 0],\n [2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
268
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -4, 2],\n [-1, -3, -3, 2],\n [-4, -3, 0, -2],\n [2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14583
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, -3, 2, 2],\n [-3, -1, -3, 2],\n [2, -3, 1, 1],\n [2, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
107
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, -4, -2, 2],\n [-4, -1, 2, 0],\n [-2, 2, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1112
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -1],\n [0, -3, -2, -4],\n [0, -2, 4, -2],\n [-1, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
887
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 3, -4],\n [1, 4, -4, 1],\n [-3, 4, 4, 4],\n [3, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9875
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, 4, -1],\n [2, 4, -1, 2],\n [4, 2, 3, -3],\n [2, 0, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
808
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -1, 2],\n [2, -4, 2, -2],\n [-1, 2, 0, -2],\n [2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
867
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 2, -3],\n [0, 2, -2, 0],\n [2, -2, 1, -2],\n [-3, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
253
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 2],\n [0, -1, -4, 1],\n [2, -4, -3, 0],\n [2, 1, 0, 4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, 0, 2],\n [0, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
577
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 4, 3],\n [-2, 4, 2, -2],\n [4, 2, -2, 0],\n [3, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2361
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 1, -3, -4],\n [-3, 1, 3, 3],\n [1, -4, -2, 2],\n [-2, -4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 3, -4, 1],\n [-2, -4, -4, -2],\n [-1, 0, 4, 1],\n [3, -2, 0, 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 absolute values of all entries of the result:\nA =\n[[4, -1, -2, 4],\n [-1, -4, 2, 1],\n [-2, 2, -1, 3],\n [4, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1423
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, 3, -2],\n [0, 2, 0, 2],\n [3, 0, -2, 0],\n [-2, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
214
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 2, -1, 0],\n [2, -2, 2, -4],\n [-1, 2, 4, 0],\n [0, -4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, 0, -2],\n [3, 3, -2, 2],\n [0, -2, 4, 2],\n [-2, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1596
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 0],\n [2, -4, -1, -4],\n [0, -1, -2, -3],\n [0, -4, -3, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
241
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2, 2],\n [-3, -4, 1, -1],\n [1, 4, -3, -2],\n [4, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
627
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, -1, -2],\n [-3, -2, -2, 0],\n [-1, -2, 2, -1],\n [-2, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1510
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, -2, 2, 0],\n [-2, 2, 1, -1],\n [0, 0, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
777
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, -3, -3],\n [1, -2, -1, 2],\n [-3, -1, 0, 2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3332
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 1, -3],\n [4, -2, 0, 2],\n [1, 0, -3, 0],\n [-3, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5148
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, -4, 2, 0],\n [-4, 2, -1, 1],\n [2, -1, 4, 0],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, 2, -1, 2],\n [0, -1, -2, -2],\n [2, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[1, 0, 4, 0],\n [0, 3, -2, 1],\n [4, -2, 3, 2],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -3],\n [-3, -1, -4, 2],\n [-2, -4, -2, -3],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3198
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 3, 0, 0],\n [-3, 2, 1, 0],\n [1, 3, 2, -3],\n [-4, -4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, -2, 1],\n [-1, 3, 0, -1],\n [0, 3, 0, -2],\n [3, -2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-135
|
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, -4, -2],\n [-2, 1, -4, -2],\n [3, 4, -2, -2],\n [-2, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1078
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, 4, -2, -3],\n [-3, 3, 3, 0],\n [1, 4, -2, -1],\n [1, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 2, 0],\n [2, -4, -2, 2],\n [2, -2, 4, 0],\n [0, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2478
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -4, 0],\n [-2, 0, 0, -1],\n [-4, 0, 0, -2],\n [0, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-469
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, -2, 2],\n [-1, -4, 0, -2],\n [-2, 0, -1, 0],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2875
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.