messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -1, -4],\n [3, 4, -4, 2],\n [-3, 0, -3, 2],\n [-2, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
903
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, 1],\n [2, 0, -3, 0],\n [2, -3, -3, -2],\n [1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1438
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, -3],\n [-3, -4, -3, -1],\n [4, 3, 1, -3],\n [-2, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
878
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 3, 0, -1],\n [-2, 2, 3, -2],\n [-4, 0, 4, -3],\n [-3, 3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-166
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, -2, 0, 0],\n [-2, -3, -2, -2],\n [0, -2, -4, -4],\n [0, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 4],\n [0, 3, -2, -1],\n [2, -2, -1, -2],\n [4, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1312
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, 0, -2],\n [-1, 2, 1, -1],\n [0, 1, -1, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1372
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -3, 1, -2],\n [0, 1, -1, 1],\n [2, 0, 0, -2],\n [-2, -3, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, -3, 4],\n [0, -4, 3, -2],\n [2, 2, 2, -4],\n [2, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8491
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -3, 3],\n [-4, 0, -1, -3],\n [3, 1, 3, 1],\n [-4, 2, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
720
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 4],\n [-2, -3, 0, -4],\n [2, 0, -3, 0],\n [4, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12410
|
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, 2, 1],\n [0, -3, 4, 2],\n [3, -2, 4, -2],\n [2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2946
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 2, 0],\n [3, -4, -1, 1],\n [2, -1, -1, 2],\n [0, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
5836
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -3, 4],\n [-4, -1, 4, -4],\n [-1, -4, 1, -1],\n [1, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-28
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, 2, -4],\n [4, 1, 0, -2],\n [-4, 0, -2, 3],\n [2, 4, 0, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-99
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 4, -2],\n [2, -3, -3, -4],\n [4, -3, -3, 0],\n [-2, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2853
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 1, 0],\n [-1, 1, 1, 0],\n [-2, -1, -1, -1],\n [2, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-50
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -1, -1],\n [0, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
292
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, 3, 0],\n [0, 3, -3, 4],\n [-1, -2, 4, 3],\n [1, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
218
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 4, -3],\n [-2, -1, -2, 2],\n [-3, 0, -2, 2],\n [-4, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-773
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 2, 2, 0],\n [2, 3, 2, -2],\n [2, 2, 1, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-26
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, 4, -4],\n [0, -1, -2, -3],\n [2, -4, -2, -3],\n [0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-922
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, 0],\n [0, -3, 3, 2],\n [-2, 3, 1, 4],\n [0, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2629
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, -3],\n [2, 2, 4, 3],\n [1, 4, -1, -3],\n [4, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
792
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, 0, 4],\n [1, -1, 1, 2],\n [4, -4, -3, -3],\n [-3, -3, 0, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-82
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -1],\n [0, -1, 4, 0],\n [-4, -1, 0, -1],\n [3, 0, -2, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -4, 0, -4],\n [-4, -4, -2, 0],\n [0, -2, -2, 2],\n [-4, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2296
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, 0],\n [1, 4, 1, 2],\n [-1, 1, -1, -2],\n [0, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
522
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -1, 2],\n [0, -2, 2, 0],\n [-1, 2, 4, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
469
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, -1, -2, 0],\n [-1, -2, 0, 2],\n [-2, 0, -1, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-36
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -4, -2, -2],\n [0, -2, 1, -2],\n [2, -2, -2, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
948
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 0, 0],\n [-2, -1, -4, 2],\n [0, -4, 4, -2],\n [0, 2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
462
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, -2, -3],\n [-1, 1, 0, 0],\n [-2, 0, -4, 1],\n [-3, 0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-700
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, -2, 0, -4],\n [-4, -3, 3, -1],\n [3, -4, 3, 4],\n [-1, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-38
|
MATH
|
[
{
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 3, -4],\n [1, -1, -2, 2],\n [3, 4, -2, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-23
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 0, 2],\n [-4, 2, -2, 0],\n [0, -2, 4, 1],\n [2, 0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
85
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 1, -3, -3],\n [2, 4, 1, -1],\n [2, -3, 2, 2],\n [2, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2879
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, 0, 4],\n [-1, -3, -2, -2],\n [0, -2, 0, 4],\n [4, -2, 4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
224
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -3, 2],\n [0, -4, 4, 2],\n [-4, 4, 2, -3],\n [2, -3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -3, -1],\n [2, 3, -1, 0],\n [-3, -1, -1, 2],\n [-1, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
167
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -1, 0],\n [1, -3, 4, -2],\n [-3, 4, 4, -1],\n [-3, 3, 4, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-100
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -1, 2],\n [2, 3, 4, -1],\n [-1, 4, 0, -1],\n [2, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
804
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -2, 4, -2],\n [-4, 2, 4, 3],\n [3, 0, -1, 1],\n [-4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1084
|
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, 3],\n [-2, -3, 1, 3],\n [-2, 1, 1, 4],\n [3, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1775
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 0],\n [2, -2, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
181
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, 4, -3],\n [-3, -2, -1, -3],\n [0, -3, -4, 2],\n [-3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1544
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 3, 4],\n [-3, 1, -3, 1],\n [-4, 3, -3, -1],\n [0, -1, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1021
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -2, 0, 2],\n [-2, -2, -4, 2],\n [0, -4, -2, 0],\n [2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
992
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -2, -3, 1],\n [-2, -2, 0, -2],\n [-3, 0, -1, -2],\n [1, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
640
|
MATH
|
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, 0, -2, -1],\n [0, -2, -4, 2],\n [-2, -4, 0, 0],\n [-1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-5
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 1, -2, -1],\n [1, -3, 2, 2],\n [-2, 2, 3, 0],\n [-1, 2, 0, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-134
|
MATH
|
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, 2, -2, 1],\n [2, 3, 2, -2],\n [-2, 2, -4, -3],\n [1, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
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, -2, -2],\n [-3, 4, 1, 0],\n [-1, 1, 3, -4],\n [0, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
715
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 3, -4, 4],\n [0, -4, -1, -2],\n [2, 0, 1, -4],\n [-1, -3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
170
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 0],\n [2, -1, 0, -2],\n [1, 0, -3, -1],\n [0, -2, -1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-198
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 2, -3],\n [-4, 2, 4, 4],\n [2, 3, 1, 0],\n [-4, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-48
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 4, 3],\n [-3, -2, -4, 2],\n [4, 2, 0, -2],\n [4, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
303
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, 3, -2],\n [1, -1, -1, -2],\n [3, -1, -2, 0],\n [-2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-13
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1, -3],\n [1, 4, 1, 2],\n [-4, 3, -3, 4],\n [-1, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
22
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, -1],\n [2, 1, 1, -2],\n [2, 1, -3, 0],\n [-1, -2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
574
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 2, 4],\n [3, -4, -2, -4],\n [-4, 0, 1, -3],\n [-4, 4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2548
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 0, -2],\n [2, 0, 2, 0],\n [0, 2, 2, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
683
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 3],\n [-1, -2, -1, -1],\n [-2, 4, 3, 3],\n [0, -4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2188
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -3, -2, -3],\n [-3, 1, 2, -2],\n [-2, 2, -1, 0],\n [-3, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2621
|
MATH
|
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-3, -2, 1, 4],\n [-4, -2, -1, -2],\n [-3, 2, 3, 1],\n [-2, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
35
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 1, -3],\n [-3, 2, -4, 3],\n [4, 3, 0, -1],\n [3, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8984
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 4, -3],\n [0, -3, -4, -1],\n [4, -2, 2, -1],\n [2, 1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
119
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 2, 1, -3],\n [1, -1, -3, 1],\n [-1, -2, -3, 0],\n [-3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-12
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1, 4],\n [-3, 2, 0, -3],\n [-4, 2, -1, 2],\n [-1, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
824
|
MATH
|
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, 1, 2],\n [0, -3, 0, 2],\n [1, 0, -1, 1],\n [2, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -3, 4],\n [3, 3, 3, 4],\n [1, 0, -4, 3],\n [-2, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
574
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [-1, -4, 1, 3],\n [0, -4, -4, -3],\n [0, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1108
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -1, 0],\n [0, 2, 1, 2],\n [-1, 1, -4, -1],\n [0, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -1, -3, -1],\n [2, 1, 2, 4],\n [1, -1, 0, -4],\n [4, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, 2, -1, -4],\n [0, -1, 4, 4],\n [0, -4, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
247
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 0, -2, -1],\n [-4, 4, -1, 3],\n [-3, -3, -4, -4],\n [-2, 4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-164
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 2, 0, -3],\n [2, 1, 0, -2],\n [0, 0, -3, -2],\n [-3, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
489
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 1, -2, -2],\n [1, -1, 0, -3],\n [-2, 0, 3, 0],\n [-2, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-11
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 4, 2],\n [-2, 4, 4, 1],\n [4, 4, -3, 4],\n [2, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
18210
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[2, 0, 2, 0],\n [0, -2, -2, 2],\n [2, -2, 1, 0],\n [0, 2, 0, 1]]\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 all entries of the result:\nA =\n[[3, -3, 2, 2],\n [4, 2, -3, -3],\n [-4, 4, -2, -2],\n [-4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
900
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -1, -3, 0],\n [0, -3, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 3, -1, -3],\n [-4, 4, 2, 0],\n [4, -1, -4, -1],\n [3, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1195
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, 0, 0, -2],\n [0, -2, -2, 0],\n [0, -2, 1, 2],\n [-2, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
165
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 3, 1],\n [-3, 4, 3, -4],\n [2, 1, 2, -3],\n [4, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
7650
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 3, -3, 1],\n [1, -1, -4, 1],\n [0, 4, -3, 3],\n [-3, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, -4, 1, -3],\n [2, 1, -4, 0],\n [0, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1681
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, 2],\n [1, -1, -2, 1],\n [-1, 2, -3, 3],\n [-2, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1893
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, -3, 1],\n [-2, 1, 2, 4],\n [-4, -2, -4, -2],\n [-3, 2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-516
|
MATH
|
[
{
"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 1, 2, 0],\n [0, 2, 0, 4],\n [-2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
296
|
MATH
|
[
{
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 2, 4, 1],\n [-3, -4, 1, 2],\n [-4, 3, 0, 3],\n [-1, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
77
|
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, 4, -2],\n [0, -1, 2, 2],\n [4, 2, -3, 4],\n [-2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24663
|
MATH
|
[
{
"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, -4, 2, -3],\n [-3, 4, 0, 3],\n [0, -2, -2, 3],\n [4, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-4
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, -2, 2],\n [-2, 2, -2, 1],\n [-2, -2, 3, 0],\n [2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
23
|
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, -2, -2],\n [0, 2, 2, -2],\n [-2, 2, 0, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3490
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[0, 0, -2, 2],\n [0, -3, 1, 2],\n [-2, 1, 3, -1],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-35
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 2],\n [0, -2, 0, 0],\n [2, 0, -3, 2],\n [2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
523
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, 1],\n [0, -1, 0, 2],\n [1, 0, -1, -3],\n [1, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
133
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 3, 1],\n [-3, 4, 2, -4],\n [4, 2, -3, -1],\n [-4, 4, -2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
82
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, -1, -2, 0],\n [-1, 2, 3, 0],\n [-2, 3, 2, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
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