messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^2 where A =\n[[4, -4, -4, 4],\n [3, -3, 3, 4],\n [2, -3, -3, 0],\n [3, 1, -2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, -3, 4],\n [-1, -4, 4, -2],\n [-4, -1, -3, -3],\n [0, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1364 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, -3, -2, -2],\n [-2, -2, -4, -2],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 898 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 4, -2],\n [0, 3, 2, 2],\n [4, 2, 4, 4],\n [-2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 255 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -3, -4, 1],\n [-3, -3, -3, 0],\n [-4, -3, 4, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 92 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -4, 3, 0],\n [1, 4, -2, -1],\n [-1, -3, -4, -4],\n [-2, -3, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1417 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[4, 1, 0, 2],\n [1, 0, 0, 0],\n [0, 0, 2, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21 | 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 [0, 2, 0, -1],\n [3, 0, 0, 0],\n [4, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 42 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-4, -2, 0, 1],\n [-2, 3, -3, 1],\n [0, -3, 2, -3],\n [1, 1, -3, 2]], determine the value at position (1, 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^2 where A is:\n[[1, 2, 2, 0],\n [2, -4, 0, 0],\n [2, 0, 2, -2],\n [0, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 109 | 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, 0, 1],\n [-3, -2, -2, -2],\n [0, -2, 0, 0],\n [1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4669 | 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, 0],\n [0, 0, 3, 2],\n [2, 3, 4, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 782 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, 2, 2],\n [1, 1, -3, 0],\n [2, -3, -4, 0],\n [2, 0, 0, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, -2, -4],\n [-2, -1, -2, -2],\n [-2, -2, 0, 0],\n [-4, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 4, -1, -3],\n [2, 4, 1, -4],\n [-2, -2, 3, 4],\n [-2, -4, -1, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -106 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, 1, 1, 4],\n [4, -1, -1, 3],\n [0, 0, -1, -3],\n [-2, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -70 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, 4, 4, -3],\n [2, -1, 4, 4],\n [-2, -4, 1, -1],\n [0, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[1, 0, 2, -4],\n [0, -4, -1, -2],\n [2, -1, 3, 2],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -160 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 4],\n [-4, 1, 2, 1],\n [-4, 0, -4, 0],\n [-2, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -164 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, 4, -2, 4],\n [0, 1, -4, 3],\n [-4, -2, -2, 4],\n [1, -3, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -4, 1, 3],\n [-3, 4, 1, 1],\n [-2, 0, 3, -2],\n [4, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 1, 0, 2],\n [1, 3, 3, 2],\n [0, 3, 1, 0],\n [2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^2 where A is:\n[[1, 4, -2, -1],\n [-3, 2, 2, 2],\n [4, 0, 0, 3],\n [4, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, -4],\n [4, 0, -4, -4],\n [-2, 0, 2, -2],\n [3, 2, -1, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 76 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, -4, 0],\n [1, 2, 1, 1],\n [3, -1, -1, 1],\n [4, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, -1, -3],\n [0, -2, -3, 2],\n [-1, -3, -4, 2],\n [-3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1446 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -3, 1],\n [-1, -3, 0, -4],\n [2, -4, 1, -2],\n [-4, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8831 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, -4, 3, -1],\n [-4, 3, -1, 0],\n [-2, 1, 1, 2],\n [-4, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 151 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, -2, 2, -2],\n [-2, -4, 2, 3],\n [2, 2, 2, 1],\n [-2, 3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, 0, 4],\n [-3, 0, -4, 3],\n [1, -2, 3, 2],\n [-2, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 203 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 3, 0, -2],\n [3, 1, 2, 2],\n [0, 2, 0, 0],\n [-2, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1897 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -3],\n [-2, -4, -3, -4],\n [0, -3, -2, 0],\n [-3, -4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28635 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [3, -3, 4, 1],\n [-2, -2, -3, 4],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[2, 3, -2, 4],\n [2, 2, -3, 1],\n [-2, 3, 1, 4],\n [1, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, -2, 2],\n [4, 1, 1, -4],\n [4, 3, 4, 0],\n [-1, 0, -3, 2]]\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[[0, -2, -2, 0],\n [0, 1, 2, -3],\n [3, 0, 3, -2],\n [-1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -52 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 4, -1],\n [1, -3, -2, 1],\n [4, -2, 3, 1],\n [-1, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 268 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-4, 2, -3, -4],\n [2, 0, -4, 1],\n [-1, 3, -3, 4],\n [-2, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -62 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, -2, 3, -2],\n [-2, 4, 2, 3],\n [3, 2, 3, 0],\n [-2, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, 0],\n [4, -1, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4319 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-1, 0, 2, 0],\n [0, 3, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, -2, 0, -4],\n [1, 1, 0, 3],\n [-1, 3, -1, 1],\n [1, 3, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 165 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, 2, 0],\n [2, 2, 0, 0],\n [2, 0, -3, 1],\n [0, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 73 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[3, -1, 0, -3],\n [-4, 2, 4, -3],\n [-2, 4, -2, -4],\n [-4, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 502 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -3, 4],\n [-4, 4, 1, -1],\n [3, 2, -2, -3],\n [-2, -2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 792 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -4, -1, 4],\n [-3, 0, 1, -3],\n [1, 2, -3, 1],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 33 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -2, 0, -1],\n [-2, -4, 1, 0],\n [0, 1, 1, 1],\n [-1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 51 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 0],\n [-2, -2, 2, 0],\n [4, 2, -2, 2],\n [0, 0, 2, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -72 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, -4, -2, -1],\n [0, -2, -1, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 157 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[4, 0, 3, 2],\n [-1, -3, -1, 0],\n [-3, 0, -2, -3],\n [-2, -3, 0, -1]]\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[[-3, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, 2, 1],\n [0, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 732 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, -3],\n [0, -4, -1, -2],\n [-2, -1, -3, -2],\n [-3, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2328 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^2 where A is:\n[[2, 0, -1, 2],\n [-3, 0, 0, 0],\n [4, -1, -3, -2],\n [1, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -1, 1],\n [2, -2, 0, 0],\n [3, 0, 0, 1],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 168 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, 0, -3],\n [-1, 1, -3, 4],\n [1, -3, 4, 2],\n [-1, 1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5450 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 0],\n [0, 1, -1, -4],\n [-2, -1, -4, 0],\n [0, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -193 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, -3, -2],\n [4, 1, -2, -3],\n [1, 4, -2, 1],\n [4, -2, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2860 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (4, 3) of the result:\nA =\n[[-2, -2, 1, -4],\n [-3, -1, -1, 3],\n [-4, 2, 3, -1],\n [-4, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[4, 2, -4, 0],\n [-3, 3, 1, -3],\n [-3, -3, -3, -2],\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 all entries of the matrix A^4 where A is:\n[[-3, 0, 2, 2],\n [0, 0, -1, -1],\n [2, -1, -1, 3],\n [2, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2029 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-4, 1, -2, 0],\n [1, -3, -2, 0],\n [-2, -2, 4, 4],\n [0, 0, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 161 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, -1, 1],\n [1, -1, -2, 2],\n [-1, -2, 1, -2],\n [1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -76 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 2, 2, -3],\n [-1, 4, 3, 2],\n [3, 1, 3, 4],\n [-2, -1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1324 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, -2, 4],\n [-1, 2, -2, -1],\n [-3, 3, 0, -2],\n [-4, 1, -2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -125 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, 0, 2, 1],\n [0, -3, 4, 2],\n [2, 4, 0, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 136 | MATH |
[
{
"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-4, 1, 0, 2],\n [1, 1, 0, -2],\n [0, 0, -1, 2],\n [2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[0, 0, 2, 1],\n [0, -3, 1, 0],\n [2, 1, 1, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 0, 4],\n [-4, 0, 3, 0],\n [0, 3, -1, -1],\n [4, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15595 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, -2, -3],\n [0, 3, 0, 1],\n [-2, 0, 1, 0],\n [-3, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 594 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, -2, 3],\n [0, 2, 4, -1],\n [-2, 3, 1, -3],\n [3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1086 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 0, 3],\n [0, 0, -3, 4],\n [-4, -2, 2, 0],\n [-1, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1833 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, -4],\n [-3, -1, 3, 2],\n [0, -2, 2, 2],\n [0, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 179 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 1, -3, -1],\n [1, -3, 0, 4],\n [-3, 0, 3, 2],\n [-1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 2, 4],\n [4, -2, 0, 2],\n [2, 0, -1, 4],\n [4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28189 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, -2, 2],\n [3, -2, 2, 0],\n [-2, 2, -1, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4772 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, -3],\n [0, 3, -4, -4],\n [-2, -4, 0, -2],\n [-3, -4, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12459 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, 0, 0],\n [0, 0, 3, 0],\n [4, -1, -4, -3],\n [-1, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [-2, 2, 3, -2],\n [0, 3, -2, -2],\n [2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1025 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 1, 0, 3],\n [0, -1, -2, 2],\n [-3, -3, 2, -1],\n [-3, -1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -362 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -3, 4],\n [-3, 1, 3, 1],\n [-1, -4, 1, -1],\n [-4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 247 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 2, 0, -1],\n [2, 2, -2, -4],\n [0, -2, -2, 1],\n [-1, -4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -256 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 2, 0],\n [1, 0, 4, 0],\n [2, 4, -2, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1468 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 2th power of the matrix:\n[[2, 0, 2, -2],\n [0, -1, -2, 3],\n [2, -2, -2, 2],\n [-2, 3, 2, 1]]\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^2 where A is:\n[[3, 1, -2, 3],\n [-1, 0, -2, -4],\n [0, 4, -4, 0],\n [1, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 195 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, -4, 2],\n [3, 2, 3, -3],\n [-2, 0, 1, -3],\n [4, -4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 271 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[1, 2, 0, 0],\n [2, 0, 0, 0],\n [0, 0, -1, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 2, 1],\n [1, 2, -3, -4],\n [0, 2, -1, -4],\n [-3, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 115 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^2 where A is:\n[[3, 2, 4, -1],\n [4, 4, 4, 4],\n [-2, 4, -3, -3],\n [3, 2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0, 4],\n [0, 0, 0, 0],\n [0, 0, -4, -4],\n [4, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 160 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[1, -2, 1, -1],\n [-1, -4, 4, -2],\n [0, 3, 4, 1],\n [1, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, 0, -2, -1],\n [0, 1, 2, 0],\n [-1, -3, 0, 2],\n [4, 4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 85 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, -2, -2],\n [-3, 2, 2, -3],\n [-2, 2, 2, 1],\n [-2, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 65 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 3, 1],\n [1, 2, -1, 2],\n [3, -1, 1, 0],\n [1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 110 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 1, 2],\n [-2, 2, -1, 0],\n [1, -1, -4, -2],\n [2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1454 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, -2, -1, 0],\n [-2, 3, 1, 0],\n [-1, 1, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 161 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, 0, 2],\n [-4, 3, -1, 1],\n [-4, 0, -3, -4],\n [-2, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6170 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, 2, -2, 2],\n [2, -2, -1, -2],\n [-2, -1, 4, 2],\n [2, -2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-3, -1, 2, -4],\n [-1, 1, 3, 1],\n [4, -2, -4, 3],\n [1, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1138 | 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, 2, 0],\n [-3, -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"
}
] | 6347 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -1, -2],\n [4, 2, 4, -3],\n [2, -2, 3, 4],\n [3, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1297 | MATH |
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