messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, -4, -2],\n [0, 1, 1, -4],\n [1, 4, -4, 1],\n [-1, 0, 4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, -2],\n [0, 2, -2, 2],\n [2, -2, 2, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6832
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 4, 0],\n [-1, 2, -3, 0],\n [4, -3, 4, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 3, -2],\n [1, 2, 4, -2],\n [3, 4, -4, 2],\n [-2, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
270
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 2, 0],\n [-4, 2, 1, -1],\n [0, 0, -3, -2],\n [2, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2800
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -2, -1],\n [4, 4, 2, -1],\n [-2, 2, 0, 2],\n [-1, -1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1004
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -4],\n [0, 2, 0, 4],\n [0, 0, 2, 1],\n [-4, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11266
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[1, -1, 2, 2],\n [-2, -3, 1, -2],\n [3, 1, 4, -3],\n [2, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-2
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, -4, 3, 0],\n [2, -4, -4, 1],\n [0, 3, 2, 4],\n [0, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -3, 3],\n [-2, -1, -4, -4],\n [-4, -1, 4, -2],\n [-2, -2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-638
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 3, 4],\n [4, 4, -3, 4],\n [-2, -3, -1, -2],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1272
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -4, -2],\n [-3, 2, 1, 1],\n [-4, 1, -1, -1],\n [2, 1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1206
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 2],\n [-3, -3, 0, -4],\n [1, 3, 0, 4],\n [2, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
496
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 4, 2],\n [0, -3, 2, 2],\n [4, 2, 4, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1630
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -3, -1, 2],\n [0, -1, 3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
145
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, 2, 1, 3],\n [3, 3, 3, 1],\n [-4, 0, -4, -4],\n [0, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, -2, 0, 0],\n [-2, 1, -2, 1],\n [0, -2, 0, -4],\n [0, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-154
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 3, -4],\n [-1, -3, 0, 4],\n [-2, -3, -4, 2],\n [0, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2917
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, 1, 4],\n [-1, 2, 0, -2],\n [-4, 0, 0, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-174
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, 0, 0],\n [-4, -1, 1, -2],\n [0, 2, 3, -4],\n [-4, -3, -3, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
408
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 3, -2],\n [-3, 1, 1, -2],\n [1, 1, -3, -2],\n [0, -1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4929
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 0, 1],\n [-1, 2, -4, 0],\n [0, -4, -4, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-442
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, -1],\n [3, 1, 3, -3],\n [2, -1, -3, -3],\n [-4, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1323
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 4, 4, -1],\n [4, 0, -3, -1],\n [-4, 2, -1, -1],\n [-2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
288
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -2, -3, 4],\n [3, 1, -2, 4],\n [1, 3, -4, 3],\n [-4, -1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1684
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, 0, 0],\n [1, 0, -1, 0],\n [0, -1, -2, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, 0, -4, 1],\n [4, 0, 4, 2],\n [2, -2, -1, 0],\n [-2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, -2],\n [1, 1, -4, 3],\n [4, -1, -3, -2],\n [-1, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-855
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, -4, -3, -3],\n [1, 2, -3, 2],\n [-2, -4, -4, -3],\n [2, 4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1005
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, 2],\n [2, -4, -2, 1],\n [2, -2, 0, -1],\n [2, 1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1521
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, 3, 0],\n [4, 1, -2, -2],\n [3, -2, 1, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
178
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, -1, 4, 0],\n [-4, -2, 2, 1],\n [-4, -2, 4, -3],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, -2, -3],\n [1, -2, -3, -3],\n [-3, -4, 4, -2],\n [-4, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15424
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, 0],\n [-3, 0, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-18
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, 0, 0],\n [-1, 2, 0, -2],\n [0, 0, 1, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1974
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 2, 0],\n [1, 0, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
270
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -1, 0],\n [4, 3, 0, -2],\n [-1, 0, -2, 2],\n [0, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8403
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, -2, -3],\n [-3, -1, 2, -2],\n [4, -3, -2, 1],\n [3, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
552
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 1],\n [-2, -3, -4, 0],\n [3, -4, -2, -2],\n [-2, -2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1570
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2, -3],\n [-2, 2, 0, 3],\n [-2, 0, 2, 4],\n [-3, 3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1722
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 0, -3],\n [-3, 0, -3, 2],\n [4, -2, -2, -1],\n [2, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
446
|
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, -4, -4],\n [3, -4, 1, -2],\n [-1, -2, -3, -1],\n [4, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3053
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 1, -1, 0],\n [1, -3, 0, -2],\n [-1, 0, -1, 4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
9408
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 2],\n [-2, -3, 1, -4],\n [1, -3, 4, 0],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
237
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 0, -1],\n [3, 2, 0, -2],\n [-3, 0, 0, 3],\n [-4, -4, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2551
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, -2, 0, 0],\n [-2, -2, 2, -1],\n [0, 2, -3, 0],\n [0, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-266
|
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 [1, -2, 2, 1],\n [4, 2, 2, 0],\n [2, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8556
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, -1, -1],\n [0, -2, -1, -3],\n [-3, -1, -4, 4],\n [4, 4, 4, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [1, 0, 4, 3],\n [-3, -1, -1, 4],\n [-2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-222
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 0, -4],\n [-2, 0, -4, -3],\n [-3, -4, -2, 2],\n [-1, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1832
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 4, -3],\n [-4, 1, 1, 0],\n [-3, 1, 2, -3],\n [0, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1046
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, 1, -1, 2],\n [1, -1, -1, 1],\n [-1, -1, 2, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 0, -4],\n [-3, -1, -3, 4],\n [0, -3, -4, 2],\n [-2, -1, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
675
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, -4, -2],\n [3, 3, 0, -2],\n [-4, 0, -3, 0],\n [-2, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4410
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, -1, 2],\n [0, -2, 4, -3],\n [2, 0, -4, -3],\n [-2, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
931
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 2],\n [0, -4, 4, 4],\n [-2, 4, 1, 0],\n [2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
239
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 4, 1],\n [3, 0, 2, 1],\n [3, -4, 2, 0],\n [3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1019
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 1, 4],\n [-2, 2, 2, 0],\n [1, 2, 2, 2],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2478
|
MATH
|
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 3, 3, -3],\n [4, 4, -4, 1],\n [-1, -1, -1, 1],\n [-2, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, -2, 4, 0],\n [2, 4, -1, 0],\n [0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2906
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 3, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
363
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 4],\n [-2, 1, -1, -2],\n [2, -1, -4, 0],\n [4, -2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6209
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, 3, 2],\n [-3, -3, -2, -2],\n [-4, -4, -4, -1],\n [4, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1066
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, 3, 0],\n [0, 2, 3, 4],\n [-4, -1, -4, -1],\n [0, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
589
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, -2, -2],\n [-2, -3, 2, 2],\n [-2, 2, -4, 1],\n [-2, 2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
787
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, -4, 0],\n [2, -2, -2, 1],\n [-3, 1, -1, -4],\n [-1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4079
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[4, -2, 4, -2],\n [1, 4, -4, -4],\n [1, 2, 2, -3],\n [0, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
572
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, -3],\n [2, 1, 0, 2],\n [-1, -1, 3, -3],\n [0, -1, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
431
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, -4],\n [2, -3, 2, -2],\n [0, 2, 3, 2],\n [-4, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8404
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 4],\n [4, -4, 3, 3],\n [3, -3, 2, 3],\n [2, 4, 3, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-14
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -4, 0, 0],\n [-4, 1, 2, 4],\n [0, 2, 2, -3],\n [0, 4, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1322
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, -3, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, -2, -4],\n [1, -1, 1, 2],\n [-2, 1, 3, 0],\n [-4, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6271
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -3],\n [0, 2, 1, 2],\n [0, 1, 3, 0],\n [-3, 2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2878
|
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, -2, 2],\n [0, 0, 0, -3],\n [-2, 0, -2, -2],\n [2, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1018
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 3, 3],\n [0, 4, -1, 4],\n [-3, 0, -3, 4],\n [-1, -2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
485
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 1, 0, 4],\n [-2, 0, -3, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
903
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0, -4],\n [-2, 4, 1, 3],\n [3, -3, 3, -1],\n [4, -3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-377
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[0, -2, -4, 4],\n [0, -1, 3, 4],\n [-1, 1, -2, -3],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 2, -4, 0],\n [2, -2, 0, 0],\n [-4, 0, -3, 2],\n [0, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
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, -4],\n [-4, -1, -1, -2],\n [4, -4, 0, -4],\n [-2, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
10552
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 2, -2],\n [-3, 0, -1, 2],\n [3, 3, -2, -1],\n [-3, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4065
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 4],\n [-2, 3, -1, 1],\n [-1, -1, 2, 0],\n [4, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
97
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 2, -2],\n [1, 0, 1, 0],\n [2, 1, -2, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, 2],\n [-4, -3, 0, -2],\n [-1, 0, -1, -1],\n [2, -2, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -1, 3],\n [-2, -1, 0, 3],\n [-1, 0, -4, 2],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-191
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 1, 3],\n [1, -3, 3, -1],\n [3, 3, -2, 3],\n [-4, 3, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
131
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, 4, -2],\n [-3, 4, 2, -3],\n [-4, 3, -1, 1],\n [-3, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1026
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 0],\n [1, 2, 2, 4],\n [0, 2, 1, 0],\n [0, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5227
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 2, 4],\n [-2, 1, 1, 2],\n [2, 1, 1, 0],\n [4, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1985
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 1, -1, 0],\n [-2, 4, -3, -3],\n [-2, 3, 1, 4],\n [-2, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
19
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 3, 4],\n [-1, 4, -1, 0],\n [3, 1, 3, 0],\n [-3, 1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2438
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 4, 4, -1],\n [-4, 2, -4, 0],\n [3, 1, 2, -3],\n [-4, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-64
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-3, 4, 1, -1],\n [4, -4, 0, -2],\n [-2, 3, -4, 3],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-708
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 1, -3, 0],\n [0, -3, -2, 4],\n [0, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 0, -1, 4],\n [1, -3, -4, 0],\n [-4, -3, 4, -1],\n [-2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-119
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, -1, -3],\n [3, 3, 4, -4],\n [2, -2, 3, -3],\n [1, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
13750
|
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, 0],\n [2, -4, -3, -1],\n [2, -3, -1, -2],\n [0, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12582
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, -2, 2, -3],\n [-2, 1, 4, -3],\n [0, 2, 0, -2],\n [-1, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 3, -1],\n [-2, 0, 1, -1],\n [-3, 1, 0, -1],\n [3, 4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
731
|
MATH
|
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