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[[3, 2, 0, 2],\n [2, -4, 0, -2],\n [0, 0, -2, 1],\n [2, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1459
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -2, 1],\n [-1, 4, 2, 3],\n [-2, 2, -3, 3],\n [1, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8875
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 1, -1, 0],\n [2, 0, -2, -3],\n [-2, -1, -4, 2],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-49
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -2, 0],\n [3, 0, 2, 2],\n [-2, 2, 3, 0],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -2, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1040
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, -2],\n [-2, -3, -3, 0],\n [-4, -3, -3, 1],\n [-2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14126
|
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, -3, 0],\n [-1, -3, 3, 0],\n [-1, 2, 2, -4],\n [2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1487
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, 1],\n [3, -3, -2, 4],\n [3, 3, 1, 1],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1656
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 3, 3],\n [-3, 0, -2, -2],\n [0, -2, 0, 1],\n [-2, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1021
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 2, 0],\n [1, -4, -2, -4],\n [2, -2, -2, -1],\n [0, -4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2110
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 2, 0],\n [1, 1, 0, 2],\n [2, 0, 4, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
395
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 0],\n [0, 0, 0, 2],\n [2, 0, 3, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1591
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, -4, 3],\n [2, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 2, 1],\n [-2, -1, 0, 3],\n [-1, 4, 0, 4],\n [-2, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2862
|
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, 0, 0],\n [-2, 1, -2, -2],\n [0, -2, -1, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3855
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 2],\n [3, 3, 2, -3],\n [0, 2, -2, 4],\n [2, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
259
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, 3, 2, 0],\n [-2, 2, 3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1303
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 3, -1, -3],\n [1, -1, -1, 0],\n [2, 0, -4, 3],\n [4, -4, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
745
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 0, 3],\n [3, 1, -4, -3],\n [-3, 1, 0, -3],\n [4, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
964
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, 4, -2],\n [1, 1, -4, -4],\n [-3, 1, 2, -3],\n [-3, 3, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4685
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 4, -4],\n [0, -4, -3, 3],\n [-3, 4, 2, 3],\n [0, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1133
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, -4, 4],\n [-4, 3, 1, -1],\n [3, 2, -3, -3],\n [3, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2695
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 2, 0],\n [-2, -2, -1, -2],\n [3, 0, -3, -1],\n [-1, 4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 0],\n [-1, -3, 4, -2],\n [-4, 4, -2, 3],\n [0, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 1, 2],\n [3, 0, 0, -3],\n [-4, 3, -2, -3],\n [-4, -3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-78
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-4, 4, -2, 3],\n [-1, 2, 3, 2],\n [1, -4, -1, 4],\n [-3, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-668
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 2, 0],\n [-3, 1, -2, -1],\n [2, -2, -1, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-58
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[4, 3, 1, 4],\n [3, 4, 0, -3],\n [1, 0, 1, 0],\n [4, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
205
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 4, -4],\n [-2, -1, -3, 0],\n [-3, 2, -4, -1],\n [0, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1102
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, -2, 3],\n [0, 3, 0, 1],\n [-2, 0, -4, 1],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
875
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 4, 4, 4],\n [-2, -2, 2, -2],\n [4, 1, -2, 0],\n [1, 1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
262
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 4, 0, 0],\n [0, 4, -1, -4],\n [-2, -3, -3, 1],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4247
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -1, 0, -2],\n [0, 0, 0, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
47
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, -3, 2, 0],\n [-3, 3, -2, -2],\n [2, -2, -4, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-440
|
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, -2, 1],\n [-3, 3, -3, 1],\n [-2, 1, 0, 2],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
230
|
MATH
|
[
{
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 1, -4],\n [-3, 4, -4, -2],\n [2, 1, -2, -1],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 0, 3],\n [1, -4, 0, -1],\n [0, 0, -2, -1],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3956
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, -1, 2],\n [0, -4, 1, 0],\n [2, -4, 1, 3],\n [-4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3196
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, 3],\n [-4, 2, -3, 3],\n [3, -2, -2, -1],\n [3, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1461
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[1, 2, 0, -4],\n [2, -3, 0, -2],\n [0, 0, 0, -3],\n [-4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-87
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 1, -3],\n [-1, -3, 3, 0],\n [0, -1, -1, 3],\n [-4, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
270
|
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, 2, -4],\n [-2, -3, 1, -2],\n [2, 1, -2, 2],\n [-4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2185
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -4, 1, 0],\n [4, 0, 3, 1],\n [1, 4, -4, 3],\n [4, 1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -3, -4],\n [4, 4, 1, 0],\n [-3, 1, -2, 3],\n [-4, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 3],\n [-3, -2, -3, -2],\n [-4, -4, -1, -4],\n [-2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7280
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, 2],\n [2, 3, 2, 0],\n [2, 2, -2, 4],\n [2, 0, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7654
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, -2],\n [0, 3, -2, 1],\n [0, -2, 2, 3],\n [-2, 1, 3, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-198
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 0, 0],\n [4, -1, -2, -1],\n [0, -2, 4, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 2],\n [-1, -3, -1, 0],\n [-3, -4, 2, 0],\n [3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2034
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 1],\n [2, 1, -2, 0],\n [0, -2, 2, 0],\n [1, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 4, -4],\n [3, -3, 1, -1],\n [-2, 1, -4, 2],\n [-1, 4, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-755
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, -4, 1, -4],\n [3, -4, -1, -2],\n [-4, -4, -1, 1],\n [4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1240
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, 0, -2],\n [-4, 0, 0, 2],\n [0, 0, -1, 1],\n [-2, 2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-560
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, 0],\n [2, 1, -3, 0],\n [2, -3, -2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3522
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 2, -1, 1],\n [2, 0, 2, 1],\n [-1, 2, 3, 2],\n [1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 3, -4, 0],\n [3, -3, -1, 1],\n [-4, -1, -3, -3],\n [0, 1, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1143
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-3, 0, 1, 0],\n [0, 4, 0, 1],\n [1, 0, -2, 0],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -1, 3],\n [4, 2, -4, -4],\n [-2, -2, 2, 0],\n [4, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
218
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 3, -1],\n [3, 3, -4, 0],\n [3, -2, -2, -4],\n [1, -3, 1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
392
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, -1, 2, 2],\n [-1, -4, -2, -2],\n [2, -2, -2, 0],\n [2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
645
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -3, 1, 3],\n [-3, 2, 3, -3],\n [0, -2, 2, -2],\n [-1, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
118
|
MATH
|
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, -1, -2],\n [0, -1, 0, -2],\n [-1, 0, 2, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 0, -2],\n [-3, 1, 0, 4],\n [0, 0, 0, 0],\n [-2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1142
|
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, -4, 3],\n [1, 0, -2, 1],\n [2, -1, 1, -4],\n [-4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6583
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -1, 0],\n [2, 3, 2, 1],\n [-1, 2, 4, 1],\n [0, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4097
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, -1],\n [3, -4, -2, -2],\n [1, -2, -3, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-462
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 0, 3],\n [1, 3, 0, 0],\n [0, 0, -3, -2],\n [3, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2915
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 1, 4, -2],\n [-2, 1, 1, -3],\n [-3, 2, -3, 1],\n [0, 1, -1, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-8
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 4],\n [0, -2, -1, 0],\n [0, -1, 3, 2],\n [4, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9027
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -3, -2],\n [4, -4, -4, 1],\n [-3, 2, 4, 3],\n [-1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, 1],\n [-2, 1, 1, 2],\n [0, 1, -2, 0],\n [1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 3, -2],\n [2, -4, 3, 2],\n [-2, 1, -3, 3],\n [-4, -3, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5450
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, 4, -3],\n [2, -1, 0, 2],\n [4, 0, -3, 1],\n [-3, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2267
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -4, 0, -2],\n [2, 0, 3, -2],\n [-1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3686
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 3, -1],\n [3, 4, 4, 0],\n [3, 1, 1, -2],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, -1, 3, 3],\n [-3, 3, -3, -4],\n [3, 0, 0, 1],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
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, 3, 0, 0],\n [0, 0, -1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
253
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -1, 2],\n [-3, -2, -4, -3],\n [3, -2, 0, -4],\n [-3, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-320
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, 2, -3, 4],\n [2, 3, 3, -4],\n [-3, 3, -2, -2],\n [4, -4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -2],\n [-2, -4, 0, -3],\n [2, 0, -2, 0],\n [-2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1161
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, 1, 0, 4],\n [0, 0, -4, 2],\n [0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
721
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, 2],\n [-2, 2, 2, 0],\n [0, 2, -1, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 0, 3, 4],\n [3, 1, -3, 0],\n [2, -4, 0, 4],\n [0, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
51
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[4, 2, 1, -1],\n [2, 0, -2, 2],\n [1, -2, -3, 0],\n [-1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
46
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, 1, 1],\n [1, -2, -3, 3],\n [-3, 3, 4, 2],\n [4, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
613
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 2],\n [2, 0, 2, 2],\n [-2, 2, -4, 1],\n [2, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
540
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, -3],\n [-4, -4, -3, 1],\n [2, 0, -2, -4],\n [-4, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
909
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, 1, -1, 0],\n [-1, -1, -4, 0],\n [0, 0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
349
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -2, 2],\n [-2, 2, 2, -2],\n [-2, 2, -1, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-32
|
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, 0, 1],\n [2, -2, -2, 3],\n [0, -2, 3, 2],\n [1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2523
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, -2, 0, 4],\n [0, 0, 4, 2],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1616
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, -2, -1],\n [-3, -2, -4, 0],\n [-2, -4, 0, 1],\n [-1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1127
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -1, -2, -3],\n [-2, 4, 0, 1],\n [2, 1, -4, 4],\n [3, 3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-2, 0, 2, -2],\n [0, 4, 0, -4],\n [2, 0, 2, -2],\n [-2, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-688
|
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, 4],\n [-2, -3, 2, 0],\n [1, 2, 4, 0],\n [4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1074
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 4, 3],\n [-3, -1, 3, -2],\n [-2, -2, 3, 1],\n [-4, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4608
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 0, 0],\n [-4, -2, -4, -4],\n [-3, 2, 2, 2],\n [-1, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 4, 3, 2],\n [1, -3, 3, -4],\n [-1, 1, 0, 0],\n [-3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 2, -1, 4],\n [-2, 1, 2, 3],\n [2, 3, 4, -3],\n [3, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
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