messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 2],\n [2, 2, -4, -2],\n [0, -4, -2, -2],\n [2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2672
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 1, -2],\n [-2, -3, 0, 0],\n [1, 0, -1, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 2, 0, 2],\n [2, 0, -2, -2],\n [0, -2, 4, -2],\n [2, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
42
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -2, 0, -2],\n [-2, 3, 1, 3],\n [0, 1, -2, 1],\n [-2, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, -2, -4],\n [1, 1, -4, 0],\n [2, 0, 0, -2],\n [3, 1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -4, -1],\n [0, 2, 0, -2],\n [-4, 0, 2, 1],\n [-1, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -2, -1],\n [-1, -2, -2, 4],\n [3, 4, 0, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-623
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 0, -2],\n [1, -1, 0, 2],\n [0, 0, 1, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -3],\n [0, -4, 2, 4],\n [2, 2, 3, -1],\n [-3, 4, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1930
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 3],\n [-2, -1, 2, 0],\n [0, 2, -2, 0],\n [3, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1021
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, -1, 0],\n [0, 2, 0, -3],\n [-1, 0, -4, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 3],\n [-2, -2, -3, -3],\n [2, -4, -2, 3],\n [4, 3, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, -3, 1, 3],\n [0, 0, -2, -3],\n [-3, 1, -4, -4],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
278
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 2],\n [-2, -2, 1, -2],\n [0, 1, 4, -2],\n [2, -2, -2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 0],\n [-1, 0, 0, -2],\n [3, 0, -3, 4],\n [0, -2, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12295
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 3, 4, -2],\n [-1, -4, -2, -3],\n [-2, 1, -3, 2],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
203
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 2, 2],\n [-2, -1, -4, 0],\n [2, -4, -4, -1],\n [2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8415
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 1, 2],\n [2, -1, -1, 0],\n [1, -1, -1, -2],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2658
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -1, -3],\n [2, 4, -4, 2],\n [-1, -4, -4, 2],\n [-3, 2, 2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1118
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 3],\n [-4, 0, -3, 1],\n [0, 4, 1, -3],\n [1, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
718
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, -1, 0, 4],\n [0, 0, -3, -3],\n [0, 4, -3, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -4, 4],\n [1, -2, 3, 1],\n [-4, 0, 3, -3],\n [-3, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2794
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, -2, 0],\n [-1, 0, 2, 0],\n [-2, 2, -4, 0],\n [0, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, -2, 4, -3],\n [4, 3, 0, -4],\n [-4, -1, -1, 3],\n [3, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
710
|
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 [-1, 1, 2, 1],\n [-2, -4, -2, 1],\n [-4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1496
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[3, -1, -3, -3],\n [4, 4, 2, 0],\n [-3, 4, 4, 0],\n [-3, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
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, 0],\n [0, 1, -2, 0],\n [3, -2, 2, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3780
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, 3, 0, -3],\n [2, 0, 3, 0],\n [0, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1845
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 3, 2],\n [-2, -1, 1, -1],\n [-3, -1, -4, -2],\n [-3, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
434
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -3, -3],\n [0, 3, -4, -2],\n [-1, 1, -2, 3],\n [-3, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
845
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 1, 0],\n [0, -3, -1, 1],\n [0, -1, 3, 2],\n [4, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
498
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 0, -3],\n [1, -3, -4, -4],\n [-2, 3, -4, 2],\n [1, -1, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2048
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-2, 0, 3, 2],\n [0, 3, -2, -2],\n [3, -2, 3, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
177
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, 4],\n [2, -1, 1, 3],\n [3, -4, 1, -4],\n [3, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6220
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 4, 1],\n [-3, 1, -2, 1],\n [-3, -2, 3, 0],\n [1, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-406
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -1, -2, 1],\n [0, -2, 2, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
401
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, 0, 4],\n [1, 3, -4, -2],\n [0, 0, 1, 4],\n [1, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 0],\n [0, 2, 1, -3],\n [1, 1, 2, -4],\n [0, -3, -4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 1, -1],\n [2, 0, -1, 0],\n [1, -1, -4, 0],\n [-1, 0, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
125
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, -4, 0, -2],\n [0, 0, 3, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, 2, 4],\n [1, -3, 4, -1],\n [-2, -4, 2, 1],\n [-1, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
490
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 1, 1],\n [-1, -3, -1, -4],\n [4, -2, -4, 0],\n [4, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4849
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 3, 2],\n [-2, 1, 0, 4],\n [3, 0, 2, -1],\n [2, 4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
733
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -1],\n [1, -3, -3, 0],\n [0, -3, 0, 1],\n [-1, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-187
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 2, 0],\n [-1, 3, 1, 0],\n [2, 1, -4, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 2, -3, 0],\n [2, 3, 1, 0],\n [-3, 1, -1, 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"
}
] |
561
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, 1, -2, 0],\n [0, -2, 3, 0],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, -2],\n [2, 3, -2, -2],\n [2, -2, -2, 0],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 3, 0],\n [2, 1, -4, 4],\n [3, -4, -4, -1],\n [0, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13885
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 3, 2],\n [-2, -4, -1, 3],\n [-1, 4, 3, -4],\n [1, 2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-126
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 3, 4],\n [4, -4, -4, -3],\n [-3, -4, -2, -4],\n [2, -1, 3, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
896
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, 1, -4, 1],\n [1, 1, -2, -2],\n [-4, -2, 4, 0],\n [1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
361
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 2, -2],\n [2, 4, 0, 4],\n [2, 0, 1, 0],\n [-2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
826
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 2],\n [0, -2, 0, -1],\n [0, 0, 2, 4],\n [2, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1139
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 4, 1],\n [-3, 0, 2, 4],\n [1, 3, 2, -4],\n [1, 4, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -3, 4],\n [2, -3, 0, 0],\n [-3, 0, -3, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1700
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 2, 2, -1],\n [2, -4, 2, -2],\n [2, 2, -1, -2],\n [-1, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
873
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 3, 2],\n [0, 0, 0, 4],\n [-1, 0, 1, 4],\n [3, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
348
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, -4, -1],\n [-4, -4, -4, -3],\n [-1, -1, -4, 0],\n [-4, 1, -1, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-761
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, 1, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
125
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -2, -1],\n [4, -2, 1, 1],\n [-4, -3, 0, -4],\n [-4, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3542
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, 4, -4, -4],\n [0, -2, -2, -2],\n [-1, 2, -1, 2],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -2, 2, -1],\n [-2, 4, 0, 1],\n [2, 0, 0, 0],\n [-1, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-914
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, -1],\n [0, 2, 0, 0],\n [4, 0, -2, -2],\n [-1, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3, 3],\n [3, -1, -1, -3],\n [-4, 3, 0, 0],\n [0, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-112
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, -2, -2, -4],\n [-2, -2, 2, 0],\n [2, -4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1035
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 0, 0],\n [1, 0, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
85
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-4, -3, 4, 1],\n [4, 2, 0, -2],\n [-1, -1, -4, 0],\n [-1, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, -4, -3],\n [-2, -4, -2, 0],\n [-4, -2, -1, 0],\n [-3, 0, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-925
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, -3, -2, 0],\n [-3, 3, 2, -2],\n [-2, 2, -1, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-115
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, -2, -2, -2],\n [-2, 3, 1, 0],\n [-2, 1, 4, -1],\n [-2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 4, 0],\n [-1, 2, -1, 0],\n [4, -1, -4, 2],\n [0, 0, 2, 0]]?\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^4 where A is:\n[[-1, 2, -4, 3],\n [4, -4, -2, -4],\n [2, 0, -1, -3],\n [4, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8522
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, 1],\n [0, -3, 3, 1],\n [-1, 3, -1, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
74
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 1],\n [-2, 3, 0, -3],\n [0, 0, -1, -2],\n [1, -3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
962
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -1, -4],\n [0, 2, 3, -3],\n [4, 0, -4, -4],\n [4, 4, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, 1, -4, -4],\n [1, 1, 0, -2],\n [-4, 0, -1, 0],\n [-4, -2, 0, 4]]\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, 1, 0, 1],\n [-2, 0, -1, -2],\n [0, 3, -2, -3],\n [-4, -3, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
232
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 1, 2],\n [2, 1, -1, 0],\n [2, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1411
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -3, 3],\n [1, 4, 4, 4],\n [-1, -4, -1, 4],\n [0, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, 0],\n [-2, 3, 0, 2],\n [-2, 0, -2, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
67
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, -4, 1],\n [-4, 2, 3, -4],\n [1, 3, -3, 1],\n [-4, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-149
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, 3],\n [-4, -4, -3, -4],\n [-1, -2, -1, -4],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1446
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, 4, 0],\n [2, 1, -4, -2],\n [3, 0, 3, 2],\n [2, -3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11584
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -1, 3, 1],\n [-4, 4, 4, -4],\n [0, -3, -1, -1],\n [-1, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 3, 4, 2],\n [4, -1, -1, -3],\n [2, -3, -2, -4],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[3, 0, 0, 4],\n [0, 1, -2, 2],\n [0, -2, 3, -2],\n [4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1616
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 0],\n [-2, -4, -1, -1],\n [0, -1, 0, 0],\n [0, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3700
|
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, 3],\n [-4, 1, 3, 2],\n [-4, 1, -2, 2],\n [3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1495
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 4, -4, -3],\n [4, -3, -2, 4],\n [2, -4, 2, -3],\n [-3, 3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
126
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -1],\n [0, 0, -2, -1],\n [-3, -1, -1, 1],\n [-4, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2464
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, -3, -2],\n [-4, -3, 0, -1],\n [-3, 0, 1, 4],\n [-2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2106
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, -1, 1],\n [-1, 3, 4, -3],\n [-1, -3, -1, 2],\n [-1, 4, 2, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -4, -2, -1],\n [4, 1, 3, -1],\n [2, 1, -2, 4],\n [-4, -4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-66
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, -2, -2, 0],\n [0, -2, 2, 2],\n [-2, 0, 2, 0]]\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 (2, 4) of the result:\nA =\n[[4, 1, -1, -2],\n [1, 0, 0, 0],\n [-1, 0, -4, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-40
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 0, -2, -2],\n [0, -3, 0, -2],\n [-2, 0, 0, -1],\n [-2, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, -4, 3, -3],\n [-4, -4, 1, 1],\n [-2, 4, -4, -2],\n [4, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-85
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 1, -2],\n [1, -2, 2, -3],\n [-4, -1, 0, -1],\n [4, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8588
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, -1, 2, 0],\n [0, 2, -2, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
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