messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -2],\n [2, -2, 0, 1],\n [0, 0, 2, -2],\n [-2, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 0, 0],\n [0, -2, 2, 3],\n [1, -3, 0, 4],\n [2, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
521
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, -2, 0],\n [0, -1, -2, 0],\n [-2, -2, -4, 3],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
809
|
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, -2],\n [-2, -1, -2, 4],\n [-2, -2, -1, -1],\n [-2, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1109
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 3, -2],\n [0, -3, 0, -2],\n [3, 0, -3, 0],\n [-2, -2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1239
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 4, 1],\n [-4, 2, -4, -4],\n [2, 2, 3, 2],\n [3, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7362
|
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, -2],\n [2, 4, 2, -1],\n [4, 2, 3, 0],\n [-2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11683
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 0],\n [0, -4, -4, -2],\n [-1, -4, 0, -2],\n [2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7183
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -3],\n [-1, 2, 0, 3],\n [0, 2, 1, 2],\n [-4, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
666
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 3, 4],\n [-1, 4, -3, 1],\n [1, 4, -3, 2],\n [-3, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
598
|
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, -1],\n [2, 1, 0, -1],\n [-2, 3, 1, 0],\n [1, -1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
717
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 3, -4, -4],\n [1, -2, -2, 2],\n [1, -2, -4, -3],\n [-1, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1371
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 2, 0, 1],\n [2, -1, -2, 4],\n [0, -2, -2, 2],\n [1, 4, 2, 1]]?\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[[1, -2, -2, -2],\n [-2, 1, 0, 0],\n [-2, 0, -4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3346
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, 3],\n [1, -1, 3, 0],\n [1, -1, 3, -4],\n [2, -4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
68
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[1, 4, 0, -1],\n [4, 1, -1, -1],\n [0, -1, 3, 1],\n [-1, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-3, -4, -2, 2],\n [3, -4, 4, -1],\n [0, -1, -3, -1],\n [-2, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-278
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, 2, 1, -1],\n [2, 1, 0, -2],\n [1, 0, 3, 2],\n [-1, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
350
|
MATH
|
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, 4, 2, 2],\n [-2, 2, 4, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1104
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 3, -3],\n [-4, -2, -2, 0],\n [3, -2, 3, -2],\n [-3, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4051
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, 4],\n [2, 3, 3, -3],\n [0, -3, -3, 4],\n [4, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -4, -2, -2],\n [0, -2, 0, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1000
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 0, 1, -4],\n [-3, 0, -1, -1],\n [0, -1, -2, 2],\n [-2, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, 0, -1, 2],\n [0, 0, -2, -2],\n [-1, -2, -3, -2],\n [2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, 1],\n [-4, 1, -3, -1],\n [-3, 3, 1, -2],\n [-1, 0, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
432
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 3, 0, 2],\n [3, 0, 0, 0],\n [0, 0, -3, -3],\n [2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, 2],\n [0, 2, -2, 0],\n [-2, -2, -2, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -3, 0],\n [3, 3, -2, 2],\n [-3, -2, 1, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15089
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, -2, 0],\n [2, 2, -3, 2],\n [-2, -3, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1893
|
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, 0, -2],\n [0, 4, 0, 4],\n [0, 0, -2, -2],\n [-2, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16597
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 3, 0, 4],\n [2, -4, 4, 4],\n [-3, -1, 0, -2],\n [4, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
110
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, -4, -3],\n [-1, -4, 4, 2],\n [-3, 0, -4, 1],\n [1, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-341
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 0, -4],\n [-3, 3, 0, 2],\n [0, 0, -4, -2],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1880
|
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, -4, -1],\n [-2, 4, -2, -1],\n [-4, 0, 4, 3],\n [-2, 1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2536
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, -2],\n [0, -1, 2, 4],\n [4, 2, 3, 3],\n [-2, 4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1983
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0, 2],\n [-2, -3, 0, 1],\n [0, 0, 4, 0],\n [2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 3],\n [0, -4, 0, 1],\n [-2, 0, 4, -3],\n [3, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
243
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 4, 0],\n [2, 2, -1, 2],\n [4, -1, -2, -3],\n [0, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -2, 1, 4],\n [2, 2, 2, 4],\n [-4, -1, 0, -4],\n [1, -4, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2724
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 0, -2],\n [-1, 3, -1, 1],\n [0, -1, -4, 0],\n [-2, 1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1004
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 1, 2, 2],\n [2, 3, 3, 1],\n [-2, 3, 1, -3],\n [3, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
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, 0],\n [0, 3, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
341
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, -2, 0, -3],\n [-2, -1, 0, 0],\n [0, 0, 2, -4],\n [-3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 0],\n [1, -2, -3, 2],\n [0, -3, -2, 0],\n [0, 2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-81
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[0, -4, -4, -4],\n [3, -1, -2, 1],\n [0, 0, -1, 2],\n [4, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-240
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 3, -1, -2],\n [3, -4, 1, -1],\n [-1, 1, 0, 0],\n [-2, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
624
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, 0, 2, 1],\n [0, -2, 2, 2],\n [2, 2, -4, 2],\n [1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
196
|
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, -2, -1, 0],\n [4, -1, 1, -2],\n [2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1294
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -4, 0, -1],\n [-4, 1, 0, 1],\n [0, 0, -4, 3],\n [-1, 1, 3, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-183
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 1, -1],\n [-1, -4, -2, 0],\n [1, -2, -4, -4],\n [-1, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1164
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, -4, -3, -1],\n [0, 0, 1, 0],\n [-3, 0, 2, 4],\n [3, 4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -2],\n [-2, -3, 0, 1],\n [0, 0, -4, -1],\n [-2, 1, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3077
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, -4],\n [0, 2, 2, 0],\n [3, 2, 0, 4],\n [-4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, 1, -1, -4],\n [1, -2, 0, 3],\n [-1, 0, 0, 2],\n [-4, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -3],\n [2, -1, 4, 1],\n [-1, 1, -4, 0],\n [-3, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-916
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 0],\n [2, 2, 3, -3],\n [1, -1, 2, -2],\n [-1, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-395
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 0, -3],\n [-2, -2, -2, 3],\n [0, -2, 0, 3],\n [-3, 3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
676
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 1, 0],\n [-1, -2, -4, -4],\n [1, -4, -3, 2],\n [0, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1272
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -4, 2, 3],\n [0, 2, -1, -3],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1124
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, -3, 3],\n [0, -3, 0, -1],\n [-2, 1, 4, 1],\n [2, 4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -3],\n [-4, -1, -1, -2],\n [0, 0, -2, -3],\n [4, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 3, 4, -3],\n [2, -2, 4, -1],\n [1, 3, -4, 3],\n [4, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, 3, 4],\n [2, -1, 0, 0],\n [-1, -1, 0, 1],\n [3, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2621
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -3, -2],\n [-2, 4, 0, -4],\n [-3, 0, -3, 2],\n [-2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-381
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, -1, -1, -1],\n [-1, -4, -1, 0],\n [-1, -1, 0, 0],\n [-1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 3],\n [0, -4, 2, 0],\n [0, 2, 3, 2],\n [3, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
215
|
MATH
|
[
{
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 2, -2, -2],\n [2, 4, -2, -2],\n [-2, -2, -4, 3],\n [-2, -2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-94
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 2, 3],\n [1, 2, 0, 1],\n [2, 0, 4, 0],\n [3, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3655
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-4, -4, -4, 4],\n [-3, 3, 0, -4],\n [-1, -1, 4, -2],\n [1, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-184
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 3, 0],\n [1, 0, 3, 0],\n [3, 3, -2, -1],\n [0, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -1, -1],\n [-2, -1, 2, 1],\n [-1, 2, 4, 0],\n [-1, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4965
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, -3, 3],\n [2, -1, 4, -2],\n [4, 3, 0, 3],\n [-2, 4, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4267
|
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, -2, -2],\n [1, -4, 0, 0],\n [-2, 0, -1, -4],\n [-2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2895
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, 4],\n [-4, 2, 1, 2],\n [-1, 1, 2, 2],\n [2, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1651
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 0, 1],\n [-1, -1, 0, -3],\n [0, 0, 0, 0],\n [1, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
660
|
MATH
|
[
{
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 2, -3, -2],\n [2, 1, -3, 3],\n [-1, -3, -2, -2],\n [0, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
632
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 1],\n [0, -3, 1, 3],\n [0, 1, 4, -1],\n [1, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -3, 0],\n [-4, -3, 0, -1],\n [-3, 0, 4, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1044
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 0],\n [4, 4, -1, -1],\n [-1, -1, 0, 2],\n [0, -1, 2, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, -2, -3, -3],\n [-4, -3, -3, 0],\n [0, 3, 1, -1],\n [-2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1202
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 4, -2, -2],\n [3, 3, -4, 0],\n [-4, 0, 3, 3],\n [1, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-199
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, 0, -2],\n [-2, -1, 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"
}
] |
2
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -4, 4, 1],\n [1, -1, -4, -4],\n [2, 4, -4, 1],\n [4, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-103
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 2, 1, 2],\n [2, -3, -1, -2],\n [1, -1, 3, 4],\n [2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-141
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -2, -2],\n [-2, -3, -3, 1],\n [-2, -3, -3, 2],\n [-2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1403
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -2, 2],\n [3, 1, -1, -1],\n [3, -2, -3, 3],\n [3, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, -4, -1],\n [-4, -1, -2, 2],\n [1, 3, 2, -1],\n [-4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
541
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, -2],\n [0, 0, 2, -1],\n [2, 2, -3, -2],\n [-2, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
870
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, 0, 1],\n [-2, 4, 4, 1],\n [4, 2, 1, -4],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7488
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 3, 0, -4],\n [3, -3, 4, 1],\n [0, 4, 2, 1],\n [3, -2, -3, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
297
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 2, 2],\n [2, -3, 1, 4],\n [2, 1, -1, -2],\n [2, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1147
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, -3],\n [1, 1, 3, 2],\n [-4, 0, -1, 2],\n [-2, 0, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-4, 0, 2, -1],\n [0, 2, 0, -1],\n [2, 0, 1, 0],\n [-1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
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, 1, -2],\n [1, 2, 0, -2],\n [-1, 2, 4, -2],\n [4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
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, 0, 3],\n [0, -2, 1, -2],\n [0, 1, -2, 2],\n [3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9378
|
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, -4, 3],\n [2, 1, 1, -4],\n [1, -1, 4, -2],\n [-1, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6443
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -4, -4],\n [1, -3, 1, 2],\n [4, -4, -2, 1],\n [1, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1005
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, 4],\n [1, -3, -2, -2],\n [0, -2, -4, 4],\n [4, -2, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
212
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -3, -2],\n [0, 4, 3, 3],\n [-3, 3, -2, 0],\n [-2, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
434
|
MATH
|
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