messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 1, 3],\n [4, 0, -4, -1],\n [4, 1, 2, 4],\n [2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3440
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [2, 0, -4, -3],\n [3, 4, -3, 3],\n [-2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1046
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, 4],\n [-2, -2, 2, -4],\n [4, 3, 0, -2],\n [1, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5046
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, -4, 1],\n [-1, 3, -1, 3],\n [-1, 4, 2, -3],\n [-4, 0, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5346
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-4, -2, -4, -3],\n [2, 0, 3, 1],\n [-3, 4, -1, 4],\n [-4, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1278
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, -4],\n [1, -4, 1, 0],\n [3, -1, 1, 3],\n [3, 3, 1, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
332
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 0, 3],\n [-2, 1, 4, -1],\n [1, -1, 2, 1],\n [-3, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2885
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[0, -4, 0, 1],\n [-4, 4, 1, -4],\n [0, 1, 1, -4],\n [1, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1009
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, -2, 0],\n [-1, -3, -3, -1],\n [-2, -3, -1, -1],\n [0, -1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1141
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, 0, -2],\n [2, 1, 0, 0],\n [0, 0, -3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
171
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 4],\n [3, 4, 3, -2],\n [1, 1, 3, 2],\n [-4, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
842
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 3],\n [-2, -1, -2, -1],\n [0, -2, -1, 0],\n [3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1923
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, -4, -2],\n [2, -2, -1, -1],\n [0, 1, -4, 0],\n [2, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2421
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, 4, 4, -1],\n [-3, 3, -3, 2],\n [0, -3, 3, -1],\n [0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
138
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, 1],\n [0, 2, -4, -3],\n [-2, 0, 2, 0],\n [-3, 2, 2, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14
|
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, 4, -4],\n [-2, 2, -3, 2],\n [4, -3, -4, 0],\n [-4, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15159
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -4],\n [0, -1, -2, -2],\n [0, -2, -1, -2],\n [-4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1913
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -1],\n [-2, -2, 0, 0],\n [0, 0, 1, -2],\n [-1, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2462
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, 1, 0, 0],\n [0, 0, -1, -4],\n [2, 0, -4, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[1, 1, 0, 2],\n [1, 4, -2, 4],\n [0, -2, -4, 0],\n [2, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-332
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 1],\n [0, -3, 2, -1],\n [2, 2, 0, 0],\n [1, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, -4, 3, 0],\n [-4, 0, 0, -4],\n [3, 0, 0, 4],\n [0, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2753
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0, -4],\n [2, -2, 2, 3],\n [-4, 3, 2, 1],\n [0, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
340
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, -1],\n [-2, 2, 1, -2],\n [-3, -1, 4, 3],\n [3, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-68
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 1, 4],\n [1, -3, -1, -3],\n [-3, -3, 3, -4],\n [0, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-381
|
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, -4, -2],\n [-1, 0, 0, 0],\n [-4, 0, -3, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3300
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[1, 3, -1, 0],\n [3, 2, -4, 1],\n [3, -1, 0, 3],\n [2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-22
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, 1, -1],\n [-1, 0, 0, 0],\n [1, 0, -2, 0],\n [-1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
429
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -4, -3, -1],\n [-4, 3, 0, 3],\n [-3, 0, -3, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1484
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[0, -2, 1, 0],\n [0, 4, -4, 4],\n [-1, -4, -3, -1],\n [0, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-4, 4, -2, 1],\n [4, -1, 0, 0],\n [-2, 0, 0, 1],\n [1, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
543
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -4, 2, 2],\n [-4, -3, -2, 4],\n [1, 4, 2, 2],\n [3, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-169
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -1],\n [0, 4, -1, 0],\n [0, -1, -1, 0],\n [-1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, 3, -2],\n [-4, 4, 2, 3],\n [1, 0, -1, 2],\n [1, -4, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -4, -1],\n [-2, -1, 1, -2],\n [-4, 1, 1, -3],\n [-1, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1436
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, -1, 0],\n [1, -2, 4, 3],\n [-1, 4, -4, 2],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7866
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 4, 1],\n [0, -1, -1, 0],\n [4, -1, -1, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1642
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, -1, -2],\n [1, 2, 1, 0],\n [-1, 1, -3, 1],\n [-2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-256
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, -3],\n [0, 3, -3, -2],\n [3, 3, -4, 4],\n [-1, -4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4765
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 1, 3],\n [-2, -2, 0, -3],\n [2, -4, 3, -2],\n [1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
687
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, 2],\n [1, 1, -2, -3],\n [0, 1, -1, -2],\n [-3, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
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, 3, -4],\n [2, 3, -3, 4],\n [0, -4, -2, 4],\n [-1, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1304
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, -2, 1],\n [-4, 3, -1, -2],\n [0, -2, 2, 3],\n [1, -1, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10426
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, -2, 1, 4],\n [-2, -4, -2, 2],\n [1, -2, 0, -1],\n [4, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
576
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[3, -2, -2, -1],\n [-2, -3, 2, 2],\n [-2, 2, -2, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 4],\n [0, -4, 0, -1],\n [2, 0, -3, 0],\n [4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
184
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, -3],\n [-2, 3, 2, 2],\n [0, 2, 2, -1],\n [-3, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4714
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -4, -2, -2],\n [-3, 2, 0, -3],\n [1, -4, -4, -4],\n [1, 0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, -3, 0],\n [1, 1, 4, 0],\n [0, -4, 0, 0],\n [-4, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 0, 2, 0],\n [0, -2, -2, 4],\n [2, -2, -4, 1],\n [0, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-168
|
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, -4, 0],\n [0, 2, -4, -1],\n [2, 0, 1, 0],\n [-4, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1470
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, 1, -1, -2],\n [1, 1, -2, 1],\n [-1, -2, -1, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
408
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 1, 1, 0],\n [0, 1, -4, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 1, -1],\n [2, -4, 1, -3],\n [0, -3, -4, -1],\n [-1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
768
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -4, -2],\n [3, -4, -1, 2],\n [1, -1, 2, 3],\n [-2, -1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-7
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -2, 0, 2],\n [-2, 2, 2, 0],\n [0, 2, -2, 3],\n [2, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, 1, -2, 0],\n [1, 4, 2, 0],\n [-2, 2, 2, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, -3, 1, -2],\n [-3, 1, 1, 0],\n [1, 1, -1, 1],\n [-2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-279
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 0, 0],\n [-1, 0, 2, 2],\n [0, 2, -1, 0],\n [0, 2, 0, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
484
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, -4, 2],\n [3, 1, -2, 0],\n [1, -4, -2, -4],\n [-4, -2, 4, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-46
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 0],\n [2, -2, -2, -2],\n [-2, -2, 0, -2],\n [0, -2, -2, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, -3, 0, 2],\n [-3, -3, -2, -4],\n [0, -2, -3, 1],\n [2, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
750
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -4, -2],\n [2, 1, -2, 0],\n [1, -3, -3, 2],\n [3, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
235
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, -2, -1, 0],\n [-2, 4, 0, -2],\n [-1, 0, 1, -2],\n [0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, -1, 2],\n [0, -3, 3, 3],\n [4, 1, 2, 2],\n [-3, 3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
374
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 2, 0],\n [-4, 2, 3, 2],\n [-4, -1, 4, 1],\n [0, -1, 3, 0]]?\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, 1, 0, 1],\n [1, 4, 4, -1],\n [0, 4, -1, 0],\n [1, -1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
671
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[1, 3, 3, -1],\n [-4, -4, -4, 1],\n [4, 4, 1, 2],\n [0, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 4, 2, 1],\n [0, 4, 0, 1],\n [-2, -3, 3, 2],\n [-2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 2, 1],\n [-3, 0, -2, -2],\n [2, -2, 0, -2],\n [1, -2, -2, 1]], determine the value at position (3, 3).\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 3th power of the matrix:\n[[-2, 4, -3, -2],\n [4, -3, -2, 0],\n [1, 4, 0, -1],\n [3, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
999
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, -2, 2],\n [-3, -2, 3, 0],\n [-2, 3, 2, 1],\n [2, 0, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-120
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, -3, -1, 3],\n [-4, 2, 1, 4],\n [1, -2, 4, 0],\n [-4, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -1, -1],\n [-2, 4, 0, 3],\n [0, -1, 0, -4],\n [-3, 3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16696
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[4, 2, 1, -2],\n [-4, -1, -2, -3],\n [-1, -4, -1, 4],\n [-1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 2, 1],\n [-3, 0, 3, 3],\n [2, -3, 1, 2],\n [-4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-217
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 3, 3],\n [-3, -2, -3, -1],\n [0, 0, 1, -2],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
32
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[4, -4, -2, 2],\n [-4, -2, -1, -2],\n [-2, -1, -1, 0],\n [2, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-850
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -2, 0],\n [-2, 2, 1, 0],\n [-2, 1, 3, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1630
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, -3],\n [1, 0, 3, 2],\n [-2, -3, -2, -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"
}
] |
359
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, -3, 4],\n [-4, -4, -3, 2],\n [0, 3, -1, 4],\n [0, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1104
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 0, -1],\n [3, -4, -1, -1],\n [0, -1, 2, 2],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6217
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 4, 3, 2],\n [-4, -2, -4, -4],\n [0, -2, -1, 0],\n [-4, 3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -3, 0, 0],\n [-3, -4, -1, 0],\n [0, -1, 1, -3],\n [0, 0, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-341
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 1, -3],\n [2, -2, 0, 2],\n [0, 1, -3, 2],\n [3, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-163
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, 0, 2, 2],\n [2, 0, 3, 4],\n [-4, -3, 4, 2],\n [-3, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
436
|
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, 0, 1],\n [0, 3, 4, -4],\n [-4, 2, -1, -3],\n [2, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6960
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 0, 0],\n [1, -2, -1, 0],\n [0, -1, 0, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
186
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 3, 1, 0],\n [2, -1, -3, 0],\n [-1, -3, -3, 3],\n [2, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-30
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[2, -4, 2, -2],\n [3, 4, -3, 3],\n [4, 0, 0, -2],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-416
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 4, -4, 0],\n [-1, -2, -3, -2],\n [-4, -1, 1, -3],\n [0, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-450
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -2],\n [0, -1, 0, 2],\n [0, 0, -2, -2],\n [-2, 2, -2, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-808
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -4, 2],\n [-3, 2, 4, 1],\n [3, 2, 2, 2],\n [0, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2967
|
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, 0, -2],\n [4, -3, 4, 0],\n [1, 1, -4, 3],\n [2, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5576
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 2, 1],\n [2, 0, -4, 4],\n [3, -4, -2, 2],\n [-2, 4, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13773
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 4, 1],\n [2, 0, 2, 4],\n [4, -2, -1, 1],\n [-4, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5634
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, -1, 0, -2],\n [0, 0, 4, -2],\n [2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-176
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, 1],\n [3, 2, -3, 1],\n [1, 4, 0, -2],\n [2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
66
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 1, -3, -2],\n [2, -2, 2, -2],\n [3, 4, -3, 4],\n [-3, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-3, 1, -2, -1],\n [1, 3, 0, 0],\n [-2, 0, -2, 2],\n [-1, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
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