messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -3, 3, 0],\n [-3, 2, 0, 0],\n [3, 0, -1, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3982
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-3, 0, 4, -4],\n [1, 1, 1, -1],\n [2, -1, 1, 3],\n [2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-583
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 1, 0, 1],\n [2, 0, -3, 3],\n [0, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, 3, 4, -3],\n [3, -2, -1, -2],\n [4, -1, -3, 0],\n [-3, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
543
|
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, 0],\n [-1, 1, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1917
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, 1, 4],\n [-1, 1, 0, 1],\n [1, 0, 1, -1],\n [4, 1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1075
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 3, 0],\n [0, -3, 1, -2],\n [3, 1, -4, 2],\n [0, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -2, 0],\n [-1, -4, 0, 0],\n [-2, 0, -2, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-124
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -4, -4, -4],\n [-4, -3, 1, 3],\n [-4, 1, 4, 0],\n [-4, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
26995
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [0, 0, 0, 1],\n [-1, 0, -2, 2],\n [-1, 1, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 2, -3],\n [-2, 0, -3, -2],\n [2, -3, -1, 0],\n [-3, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1196
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, 4, 0],\n [-2, 4, -1, -3],\n [4, -1, -2, 3],\n [0, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
973
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 4, 0, -1],\n [-4, -2, -3, 3],\n [4, -1, -2, -4],\n [2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2110
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -4, 0],\n [3, -1, -2, 2],\n [4, -2, 4, -3],\n [-3, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-852
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -2],\n [2, 4, 0, 0],\n [0, 0, -4, 0],\n [-2, 0, 0, -4]]\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[[4, -1, 4, -4],\n [1, -3, 0, 3],\n [-2, 4, -4, -3],\n [3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-52
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, 1, -2],\n [-3, 2, -2, 1],\n [1, -1, -2, 3],\n [0, -1, -1, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-10
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -3, -4],\n [0, -2, 2, -1],\n [-4, 1, -4, -2],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
31420
|
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, 0, -1],\n [-2, -4, -1, 2],\n [0, -1, -4, -1],\n [-1, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3185
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, -4, 0],\n [-4, 3, -1, -2],\n [-4, -1, 4, -4],\n [0, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2524
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, -3, -4],\n [3, -3, -4, -4],\n [1, -4, -2, 4],\n [-2, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3075
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 0, -3],\n [2, -1, 1, 3],\n [3, -2, 3, -4],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 1],\n [1, 4, 1, -2],\n [-3, -3, 3, 1],\n [3, -4, -4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1014
|
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 [-4, -2, -3, -2],\n [-1, -3, 4, -1],\n [-2, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3750
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 1, 4],\n [2, 0, 0, 0],\n [1, 0, -3, -4],\n [4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1823
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -3, -4, -1],\n [0, -4, 4, -4],\n [-2, 3, -3, -1],\n [-1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-89
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 1],\n [0, -1, 3, 2],\n [-1, 2, 4, -4],\n [2, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1070
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-2, 3, 0, -3],\n [0, 0, -1, 0],\n [1, -3, -1, 0],\n [-3, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
149
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -1, -4],\n [1, -2, -4, -2],\n [0, 2, 4, -4],\n [-4, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
981
|
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, -1, 0],\n [-2, 1, -2, 3],\n [-1, -2, 3, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2714
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 0, -1],\n [-1, -3, 0, 0],\n [0, 0, 4, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7
|
MATH
|
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, -2, -3, -1],\n [-2, -1, 2, -3],\n [-3, 2, -3, -2],\n [-1, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
486
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, -1],\n [4, -2, 1, 4],\n [-4, 0, 4, 2],\n [2, -2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-652
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 3, 0],\n [2, 3, 0, 4],\n [-1, -4, -3, -3],\n [2, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, -4, -3],\n [4, 1, 1, -2],\n [4, 4, -1, 0],\n [-2, 4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6122
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 3, 4, -3],\n [1, 0, 2, -3],\n [-4, 4, -4, 0],\n [3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 3],\n [-1, -3, -1, -2],\n [-3, -2, -1, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
851
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, -1, 0, 4],\n [3, -4, 0, -1],\n [-1, -4, 4, 4],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-84
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 2, 0, 0],\n [2, -2, 2, -3],\n [0, 2, 1, 2],\n [0, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, 0, 2, -1],\n [-1, 2, 4, 0],\n [2, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-45
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-3, 4, 4, -3],\n [-1, 0, -2, 4],\n [-2, -4, 0, 4],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-31
|
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, -4],\n [0, -1, -4, 3],\n [-4, 1, -2, 3],\n [-4, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6666
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 4, -2],\n [-2, 4, 3, -3],\n [-2, 0, 0, 0],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -2, 0, 4],\n [-2, 0, 0, -3],\n [0, 0, 0, 2],\n [4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
142
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, -1, 0, -2],\n [-1, 0, -1, 0],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
507
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 4, -3],\n [0, -3, 2, 3],\n [3, 4, 1, 0],\n [2, 0, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
387
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, 4, -3],\n [1, -3, -3, 3],\n [-4, -1, 2, -2],\n [-2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 4, 0],\n [-2, -2, -1, 2],\n [4, -1, -4, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1855
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 0],\n [0, 3, 0, 1],\n [-2, 0, 4, 2],\n [0, 1, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
615
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -4, 4, -2],\n [-4, -1, 0, 0],\n [4, 0, -4, 0],\n [-2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-159
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -1, -2],\n [0, -4, 3, 1],\n [-1, 3, -2, -2],\n [-2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1882
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 1, 0],\n [0, 4, -4, 1],\n [4, -3, -1, 4],\n [1, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5487
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -1, 4],\n [0, 1, 0, 0],\n [-1, 0, 3, -4],\n [4, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
50
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -3, -4],\n [1, -2, 0, 2],\n [4, -1, -4, -3],\n [1, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2440
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [0, 1, 0, -4],\n [0, 0, -4, 1],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3
|
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, -2],\n [2, 4, 4, 3],\n [0, 4, -1, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9635
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 1, 3],\n [-4, -3, -4, -1],\n [2, 2, -1, 0],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-75
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -4],\n [-3, 0, 4, -2],\n [-4, -3, -2, 4],\n [-1, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5606
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, -4],\n [-1, -2, -1, -3],\n [4, 0, -3, 4],\n [-3, 3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4508
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 0, 2],\n [-1, -4, 2, -3],\n [0, 2, 3, 4],\n [2, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1043
|
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, -2, 2, 0],\n [-2, 2, 0, 3],\n [2, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, -4, 3],\n [1, 2, 4, 2],\n [-2, 4, 3, 1],\n [0, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1122
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 0, 1, -1],\n [1, 4, 2, -2],\n [0, -2, 4, 0],\n [-2, 3, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -4, 0],\n [2, 4, 4, 2],\n [-4, 4, -1, 2],\n [0, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1726
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 1, -2, -2],\n [1, -3, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
136
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 2],\n [0, 3, 2, -2],\n [-2, 2, 0, -4],\n [2, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
273
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-4, 2, -1, -2],\n [2, -1, 3, 1],\n [-1, 3, 3, 0],\n [-2, 1, 0, 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 sum of absolute values of all entries of the result:\nA =\n[[0, -2, -3, 2],\n [-2, -3, -2, 2],\n [-3, -2, 4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6852
|
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, 4, -2],\n [2, 3, 0, 2],\n [4, 0, -4, 1],\n [-2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2500
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 1, -2],\n [1, 0, 0, -2],\n [1, 0, -2, -2],\n [-2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
417
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3, 2],\n [-1, 3, 0, 2],\n [-3, 0, 2, -2],\n [2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 2, 2, 4],\n [-3, -2, -1, -1],\n [-4, -4, 3, -4],\n [2, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
375
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 0, 0, 3],\n [-1, -2, 3, -1],\n [2, -4, 4, 3],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-117
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -3, 1, -3],\n [-1, 3, 4, -3],\n [-2, 0, -4, 0],\n [4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-67
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -3],\n [-1, -3, -4, 1],\n [-2, -4, -3, 2],\n [-3, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2185
|
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, -4, -4],\n [-2, -1, -3, 3],\n [0, 1, -1, 3],\n [-1, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2529
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 0, -2],\n [-4, -3, 3, 0],\n [0, 3, 4, 0],\n [-2, 0, 0, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
160
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 2],\n [0, -2, -3, 0],\n [-2, -3, 1, 0],\n [2, 0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, -3, 3, 4],\n [0, 3, 1, 0],\n [-1, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1076
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 0, -3, 0],\n [0, 1, 2, 2],\n [-3, 2, -3, 0],\n [0, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, 0, 2, -1],\n [0, 1, 2, -2],\n [2, 2, 2, 2],\n [-1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, 4, 4],\n [0, -4, -3, -4],\n [-1, -1, -4, 3],\n [-3, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4804
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, 4, 2],\n [3, 3, 0, 3],\n [-2, 3, -2, 1],\n [-2, -3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2566
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -4, -2],\n [-3, -3, 0, 3],\n [4, -4, 4, -3],\n [3, 0, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1453
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -3, 1],\n [0, -3, 4, 1],\n [-3, 4, -2, 2],\n [1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
350
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, 2, -3, 3],\n [-1, 3, -3, 0],\n [2, -1, 0, 0],\n [0, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-4, 0, 4, 1],\n [0, -2, -1, 2],\n [4, -1, -2, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
102
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [-2, 3, 0, 0],\n [1, 0, 2, -1],\n [-2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -4, 0],\n [1, -3, 0, 1],\n [4, 2, 3, -3],\n [1, 1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
746
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, 4, 0, 0],\n [4, 4, 0, 4],\n [0, 0, 1, -2],\n [0, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1024
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -4, 2, -3],\n [2, 0, 3, 3],\n [0, 2, 0, 3],\n [3, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-475
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -3, -1, 3],\n [-1, 0, 1, 0],\n [-2, -2, 0, 3],\n [2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-21
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -4, 2, -2],\n [4, 1, -3, -1],\n [-2, -2, 4, -1],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-56
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 0],\n [2, -1, 2, 3],\n [-2, 2, -4, -3],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16206
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 2],\n [0, 2, 1, 3],\n [1, 1, -2, 0],\n [2, 3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
226
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, 0, -2],\n [4, 2, 1, -4],\n [-3, -3, -1, 3],\n [-4, -4, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2678
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -1, -4],\n [-2, 3, 0, 2],\n [2, 3, -4, 1],\n [4, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2340
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-4, -2, -4, 0],\n [-2, -2, 2, -1],\n [-4, 2, 4, -1],\n [0, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-136
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 0, 0],\n [4, 3, 2, 3],\n [0, 2, 0, 1],\n [0, 3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6533
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -2, 0],\n [1, 2, 4, 0],\n [-2, 4, -3, 2],\n [0, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5815
|
MATH
|
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