messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, 4, -1],\n [2, 3, -4, 3],\n [3, -2, -2, -1],\n [-3, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3239
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -2, 1],\n [0, -2, 3, 0],\n [-2, 3, 1, -2],\n [1, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
102
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 1, 0],\n [-1, -2, 2, 0],\n [1, 2, -1, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4461
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -1, -2, -1],\n [-1, 3, -2, 0],\n [-2, -2, 1, -1],\n [-1, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[1, -1, 4, 3],\n [4, 2, -3, 1],\n [-1, -2, -1, -4],\n [0, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -2],\n [-2, -3, 2, -1],\n [-2, 0, 1, 4],\n [3, 2, -3, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -1, -2],\n [-1, -1, -2, -1],\n [-1, -2, 4, 3],\n [-2, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1348
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 4, -2, -4],\n [2, -2, -2, 4],\n [1, -2, 4, 3],\n [1, -4, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
85
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -3],\n [-2, -3, 2, -2],\n [0, 2, 2, -2],\n [-3, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1367
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 2, -3],\n [2, 4, 0, -2],\n [4, 3, -4, -2],\n [-3, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6606
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, 3, -3, 0],\n [-4, 2, -2, -3],\n [2, 1, -4, 4],\n [3, -3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-509
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 3, -1],\n [-3, 4, -2, -1],\n [-1, -4, 2, 3],\n [4, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
188
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 3],\n [2, 3, 2, -1],\n [-4, 3, 0, -2],\n [2, -2, 3, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1011
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, -3, -3],\n [-1, -1, 1, -4],\n [0, 4, -1, -2],\n [3, 4, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1249
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-1, 2, 1, 1],\n [-1, 4, 2, -1],\n [3, 2, -2, 1],\n [1, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, -4, 3, -3],\n [4, 0, 0, 4],\n [-3, 1, -3, 3],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, -2, -4, 2],\n [-2, 1, 0, -2],\n [-4, 0, 2, 0],\n [2, -2, 0, 0]]\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[[2, -4, 1, 0],\n [-4, -4, -2, -1],\n [1, -2, 3, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4683
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -1],\n [0, 0, 0, -2],\n [-2, 0, 4, -1],\n [-1, -2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-215
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 1, -1],\n [-2, 0, 2, -4],\n [1, 2, 4, -1],\n [-1, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-537
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -3, 2],\n [0, 0, -1, 4],\n [2, -1, 4, 2],\n [3, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
403
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, 2, -1, -4],\n [0, -2, -2, 4],\n [-4, 1, -3, 0],\n [-3, 4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-778
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 1],\n [-3, -1, 3, 2],\n [2, 3, 2, -2],\n [-4, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
182
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[1, 4, -3, 3],\n [-3, -2, 4, 4],\n [4, -2, 1, 4],\n [4, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
603
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 4, 2],\n [-1, 2, -2, 4],\n [0, -3, -4, -4],\n [-4, 3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-363
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 3, 2],\n [-2, 1, -3, 0],\n [-3, 2, 0, -4],\n [4, 4, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1164
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-1, -1, 0, 0],\n [-1, 3, -2, -4],\n [0, -2, -4, 0],\n [0, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1312
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -3],\n [-2, 0, 2, 2],\n [0, 2, -2, -1],\n [-3, 2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4740
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, -3, -1, 4],\n [1, 0, 0, 2],\n [-3, 1, -3, -4],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -2, -4],\n [-2, -2, 1, -4],\n [2, -1, 1, 0],\n [-1, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4125
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, 4, 0, 1],\n [0, 0, 2, 1],\n [0, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
677
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, 4, 0],\n [3, -2, 2, 2],\n [4, 2, 3, 2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22075
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, -2, 3],\n [-4, 4, -3, 1],\n [1, 4, -4, -4],\n [-1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-77
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 4, -1],\n [2, 1, -2, -1],\n [4, -2, 4, -2],\n [-1, -1, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9642
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 2, 1, 1],\n [2, 2, 0, -3],\n [1, 0, 3, 0],\n [1, -3, 0, 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 sum of absolute values of all entries of the result:\nA =\n[[0, 3, 1, -1],\n [-4, 4, 1, -1],\n [-2, -2, 0, -1],\n [0, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2150
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -4, 0],\n [-1, 1, -3, -1],\n [2, 4, 4, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-539
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, -4, 4],\n [2, 3, -3, -3],\n [-2, -1, -2, 3],\n [-1, -3, 3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-106
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 1],\n [1, 3, -2, 2],\n [-3, -4, -3, -3],\n [-1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
849
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 3, 0, 0],\n [3, 4, -2, 2],\n [0, -2, -2, 0],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
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, 0, 1],\n [-2, -2, 1, 3],\n [4, 2, -3, 1],\n [-1, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1830
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -1, 4],\n [2, -4, -2, -3],\n [0, -4, 3, -2],\n [4, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
951
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 4, -2],\n [2, 0, 0, 0],\n [1, -3, -2, -2],\n [1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-447
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, -1, 3, 0],\n [-4, 0, 1, 1],\n [-4, -1, -4, -2],\n [0, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
79
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, 3],\n [-3, 2, 0, 0],\n [0, 0, 0, 0],\n [3, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1875
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -4, 2],\n [0, 4, 0, 1],\n [-4, 0, 3, -2],\n [2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1729
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, -2, 1, 0],\n [-2, 2, 0, 2],\n [1, 0, -2, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
52
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 3, 1],\n [-4, -1, 2, 1],\n [1, 1, 0, 1],\n [0, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
465
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, -4, -3],\n [1, 2, 0, -2],\n [-4, -3, -3, 2],\n [0, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2438
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, -2, -2],\n [4, -3, -4, 3],\n [2, 2, -4, 4],\n [-1, 4, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8525
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, 4, -1, 2],\n [2, 0, 4, -4],\n [0, 1, 4, 2],\n [-4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-174
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 2, -3],\n [1, 3, 4, 3],\n [1, -3, -2, 3],\n [1, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2224
|
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, -3, 1, -2],\n [4, -4, -4, -1],\n [3, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1121
|
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, 2, -2],\n [0, 3, -1, 0],\n [-4, 1, 2, 0],\n [-3, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2822
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 0, 0, 3],\n [4, -4, -3, 3],\n [4, -2, -3, 2],\n [-2, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -3],\n [2, 0, -3, 3],\n [0, -1, 4, 4],\n [-2, -3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
858
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, 2, -4],\n [3, 4, -4, 3],\n [-1, -4, 2, -4],\n [0, 1, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-584
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, 2, -3],\n [-4, -3, 1, 2],\n [-2, 0, 3, -2],\n [-1, -1, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 3, -1],\n [4, -3, -1, -1],\n [2, 2, 3, 4],\n [0, 1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2949
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -3, 0, -4],\n [-3, 4, 0, 1],\n [0, 0, -4, -2],\n [-4, 1, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15840
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 1, 4, 4],\n [0, -3, -3, 2],\n [-2, 1, 0, 2],\n [-4, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
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, 2, -3],\n [4, 4, 1, 4],\n [1, 2, -1, -4],\n [3, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6948
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, -4, -4, 4],\n [0, 1, 4, 1],\n [-2, 4, 2, 0],\n [2, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1000
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 3, 0],\n [3, -2, -3, 0],\n [4, -1, -4, -3],\n [-1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15546
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [0, -4, 4, 0],\n [0, 4, -2, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1248
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 4, 0],\n [1, 2, 2, -1],\n [2, 0, -2, 4],\n [-2, 1, 1, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -2, -2],\n [-1, -3, 1, 2],\n [-3, 3, -1, 0],\n [1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
964
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, -1, 4],\n [-3, 0, -1, -3],\n [2, -2, -1, 2],\n [-3, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1068
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -2, 1],\n [-2, 0, -3, 2],\n [-2, -3, -3, -1],\n [1, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-356
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, -2],\n [-2, 3, 2, 0],\n [-4, 2, 1, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1187
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 3, 0],\n [-2, 4, 1, 2],\n [4, 2, 2, 1],\n [-1, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
717
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, 1],\n [1, -1, 3, -3],\n [-2, 4, -1, 2],\n [-3, -1, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
117
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -2, 3],\n [3, -1, 0, -2],\n [2, 4, 1, -3],\n [2, -1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
162
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 2, 1],\n [1, -4, 1, -1],\n [2, 1, 0, -3],\n [1, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
384
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, -1, 4],\n [-2, 0, -2, 0],\n [3, -4, 4, 0],\n [1, -2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9160
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -4],\n [2, 3, -4, 2],\n [0, -1, 4, -2],\n [-3, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13297
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, -4, -3],\n [-3, 2, 0, 1],\n [2, 2, 1, 0],\n [1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1636
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 0],\n [4, 1, -2, 0],\n [-2, -2, 0, 2],\n [0, 0, 2, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -2],\n [2, -2, 0, 1],\n [0, 0, -2, -2],\n [-2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -1, -2, 4],\n [-4, 3, -3, 0],\n [3, -1, -4, 3],\n [2, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -3, 4],\n [2, 3, -1, 0],\n [-3, -1, 2, 1],\n [4, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7943
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 0],\n [0, 2, -2, 3],\n [-3, -2, 0, 0],\n [0, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1131
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, 2, 2],\n [2, -3, -1, 3],\n [3, -1, -4, -3],\n [4, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11074
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -1, 4],\n [3, 2, -4, -1],\n [-4, 3, -4, 1],\n [1, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2750
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, -4],\n [-4, -3, -4, 4],\n [2, -3, 0, -2],\n [2, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1724
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -3],\n [0, -1, 0, 2],\n [-3, -2, -1, 0],\n [-1, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3770
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 3, -3, -1],\n [-2, -3, 3, -2],\n [1, 3, 4, 2],\n [-1, 4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
632
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, 1, 1],\n [2, -1, 4, -2],\n [-4, 0, 1, 0],\n [3, -3, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
464
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 1],\n [-2, -3, -2, 4],\n [0, -2, 2, -2],\n [1, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 2, 0, -4],\n [2, 0, 3, 3],\n [0, 3, -4, -2],\n [-4, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
994
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, -4, 2],\n [-4, 4, 3, -2],\n [-4, 1, -4, -2],\n [-4, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3491
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -4, 2],\n [1, 4, 2, 1],\n [-4, 3, -3, -1],\n [-2, -3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-298
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 2, 2],\n [-2, -4, -3, -2],\n [2, -3, 2, -4],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9243
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -1, 2],\n [-1, -1, 0, -2],\n [-1, 0, -1, 0],\n [2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1096
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 4],\n [2, 3, 4, -2],\n [0, 4, -2, 2],\n [4, -2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7065
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, 3],\n [1, 4, 2, 4],\n [3, 4, 0, -3],\n [-2, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6836
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 2],\n [3, -1, 1, -3],\n [3, -1, 0, -4],\n [-2, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-205
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, 4, 3],\n [0, -3, 4, 0],\n [0, 3, 1, 2],\n [1, 2, 3, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -3, -2, 0],\n [-3, 3, 0, 2],\n [-2, 0, -3, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 0, 3, 3],\n [-2, -3, -4, 1],\n [-3, 0, -3, 4],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.