messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, 3],\n [-1, -2, 2, 0],\n [0, 2, -2, -2],\n [3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6825 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -2],\n [0, -1, -2, 0],\n [-2, -2, 1, -1],\n [-2, 0, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 344 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[3, -2, 0, -1],\n [-2, 4, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 2, 0],\n [0, 0, -2, -2],\n [2, -2, 0, 0],\n [0, -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, 1) of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [-2, -2, 1, -2],\n [1, 1, 0, -1],\n [-4, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1088 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 2, -1, 3],\n [0, -1, -2, 2],\n [0, 3, 2, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 70 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[2, 3, 3, 4],\n [2, 3, -1, 4],\n [0, 4, 2, -1],\n [4, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | 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, 3, -3],\n [0, -3, 2, 3],\n [3, 2, -2, -1],\n [-3, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 980 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[4, -2, 3, -3],\n [3, -3, -1, -2],\n [-3, -4, -4, -2],\n [-3, 1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, -4, 0, -4],\n [-4, 4, 2, 0],\n [0, 2, -2, 2],\n [-4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -784 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -2],\n [-2, 4, 0, -1],\n [2, 0, 2, 0],\n [-2, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 578 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 4, -3],\n [0, 3, 2, 1],\n [3, 3, -3, 3],\n [-4, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1840 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, -2, 4],\n [2, -3, 3, 0],\n [-2, -4, 0, 1],\n [-3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1008 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, 1, -4],\n [-2, -3, 1, 2],\n [1, 0, -4, 0],\n [0, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 84 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, -2, -2, -2],\n [-2, -3, 4, 2],\n [-2, 4, -1, 2],\n [-2, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 33 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, -2, 2, -1],\n [-2, 1, -2, -2],\n [2, -2, 4, -2],\n [-1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -1, 0],\n [0, 4, 0, 1],\n [-1, 0, -3, 2],\n [0, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 73 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -1, 4],\n [-2, -2, 4, 4],\n [-3, 3, 0, 0],\n [1, -1, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 238 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 3, 2, 4],\n [0, -4, 2, 4],\n [-3, -3, -4, 2],\n [-2, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 84 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 3, 1],\n [4, 4, -1, 2],\n [-4, -1, 2, 4],\n [1, 4, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5592 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-4, -4, 4, 2],\n [-4, -3, 2, -4],\n [2, 4, -2, -2],\n [3, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, -2, -1],\n [-4, 0, 2, -4],\n [-2, 2, -3, -2],\n [-1, -4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6439 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 1, 0],\n [2, -4, -3, 1],\n [1, -3, 0, 0],\n [0, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1304 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 0, -4],\n [-2, 1, -2, 2],\n [0, -2, 4, -2],\n [-4, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -64 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -4, 4],\n [1, 1, -2, 0],\n [-3, -2, 0, 1],\n [-4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 754 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -4, -3],\n [0, 3, 1, -1],\n [-1, 2, -4, 2],\n [-1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2146 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -4],\n [-3, -4, -1, -4],\n [-3, 3, 1, -3],\n [-3, -3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1329 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, -4, -1],\n [1, -3, 0, 2],\n [-4, -4, 2, -2],\n [0, 0, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4317 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -1, -4, -2],\n [0, 4, 2, -3],\n [1, 2, -2, 2],\n [3, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 0, -2],\n [1, 4, -2, 2],\n [0, -2, 4, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7777 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -3, 0],\n [0, 1, -3, 0],\n [-3, -3, -3, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6567 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 0, -3, 2],\n [-2, -2, -3, 4],\n [2, 2, -4, -4],\n [1, -3, -3, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -228 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -2, 2],\n [4, -3, 1, -2],\n [3, 1, 0, 1],\n [-1, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -204 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[2, 1, -2, 0],\n [4, 2, -1, 0],\n [2, 3, -3, 3],\n [-3, 2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, 0, 3, 0],\n [0, 3, -3, -2],\n [3, -3, -2, 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"
}
] | 185 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, -1, 0, -2],\n [-1, 2, -2, 0],\n [0, -2, -1, 2],\n [-2, 0, 2, 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 value at position (4, 3) of the result:\nA =\n[[-2, -3, 0, 0],\n [2, 0, 4, -4],\n [-1, -1, -2, 1],\n [0, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -396 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -1, -2],\n [-1, 3, -2, -2],\n [-2, 0, -2, 1],\n [0, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 996 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 4, -1],\n [-1, 1, 0, 2],\n [0, -2, -3, -3],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 120 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 0],\n [-2, 0, 0, 0],\n [0, 0, 3, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 461 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, 3, 0, -1],\n [3, 3, -1, -1],\n [0, 4, -2, -1],\n [-3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[4, 4, 0, 0],\n [4, 0, 1, 0],\n [0, 1, 0, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-1, 0, -4, 3],\n [1, -4, -4, 4],\n [4, -3, 1, 3],\n [1, 4, -4, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 2, 2, -2],\n [0, 0, -2, 2],\n [0, -1, 3, 1],\n [4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, -4, -1],\n [1, -1, 1, -3],\n [2, -4, -4, 0],\n [3, -2, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2182 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[1, -3, -4, -2],\n [-1, -2, -1, 4],\n [2, 0, 0, 3],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 286 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-3, -3, 2, -3],\n [-3, 0, 0, 4],\n [2, 0, -1, -1],\n [-3, 4, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 2, -1],\n [-1, 0, 0, 1],\n [2, 0, -4, 0],\n [-1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 360 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (4, 1) of the result:\nA =\n[[1, -3, -2, -2],\n [-3, 1, 1, -1],\n [-2, 1, 0, 0],\n [-2, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^2 where A is:\n[[-3, -2, 0, -1],\n [-2, -1, -4, -3],\n [0, -4, -4, 2],\n [-1, -3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 2, -4, -3],\n [2, 2, 2, 1],\n [-4, 2, 0, -1],\n [-3, 1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, -2, 3, 3],\n [-2, 3, 0, -2],\n [3, 0, 3, -3],\n [3, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 87 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (3, 4) of the result:\nA =\n[[2, 4, -4, -1],\n [-3, -1, 4, -4],\n [2, 1, -4, 1],\n [1, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 0, -4],\n [-1, -2, -1, 2],\n [0, 1, 2, -2],\n [-1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7550 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 0, 2, 0],\n [0, 1, 1, 2],\n [2, 1, -2, 3],\n [0, 2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 0, 2],\n [-1, -1, 0, 0],\n [0, 0, -4, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 489 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, 0, 0, -2],\n [0, 0, -2, 2],\n [0, -2, -3, -2],\n [-2, 2, -2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, -4, 2],\n [0, -4, 1, 4],\n [-4, 1, -1, -2],\n [2, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1604 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, -4, 2],\n [3, -4, -4, -2],\n [3, 2, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -46 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 1],\n [4, -3, 4, 0],\n [4, 2, -1, -1],\n [4, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3789 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-2, 2, 2, 1],\n [2, -1, -2, 2],\n [2, -2, 4, 0],\n [1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -106 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, -4, 2],\n [1, 1, 3, 0],\n [-4, 3, -3, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29 | 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, 3, 0],\n [0, -4, 0, -2],\n [3, 0, -2, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3942 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -2, 2, 2],\n [-2, 0, 2, 1],\n [2, 2, 1, -2],\n [2, 1, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2614 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 2, 0],\n [0, 0, -4, 0],\n [2, -4, -1, -1],\n [0, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 57 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, -3, 2],\n [2, 4, -2, 1],\n [-3, -2, 1, 2],\n [2, 1, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6866 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 3, 0, 3],\n [-1, 2, 0, 1],\n [2, 2, -2, -1],\n [0, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 44 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, 0, 0, 0],\n [0, 4, 1, 0],\n [0, 1, 3, -2],\n [0, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | 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, -1, 2],\n [-1, -1, 2, 1],\n [0, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1800 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 0, 2],\n [3, 1, -2, -2],\n [1, 1, -1, 0],\n [4, -1, -1, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 134 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -1, 0, 0],\n [-1, 0, -2, -4],\n [0, -2, -1, 1],\n [0, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-1, -1, -2, 2],\n [-1, -1, -2, 3],\n [-2, -2, -2, -1],\n [2, 3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 147 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2, 0],\n [0, -2, 0, -1],\n [-2, 0, -1, 4],\n [0, -1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 58 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 2],\n [-2, -1, 0, 2],\n [2, 0, 0, 0],\n [2, 2, 0, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 297 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, 3, -4],\n [-4, 1, -4, -3],\n [-1, 1, 4, 3],\n [2, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 177 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 3, 0],\n [4, -4, -4, 4],\n [1, -1, 1, 3],\n [4, 3, 4, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -321 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 3, 0, -4],\n [-3, -4, 3, -2],\n [1, -3, -1, 0],\n [-1, -2, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -663 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -1, 0, 0],\n [-1, -2, 1, -2],\n [0, 1, 3, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, -2, 3, 3],\n [-4, -1, 1, -1],\n [-4, 2, -2, 3],\n [-4, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 179 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -2, 0, -2],\n [-2, -4, 0, 2],\n [0, 0, 1, 2],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 114 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 2, -4],\n [-3, 0, 1, 3],\n [4, -3, 0, 4],\n [-3, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, -2, -2],\n [1, 3, -2, 2],\n [-2, -2, -1, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2587 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -1, -4],\n [2, 3, 0, -2],\n [-1, 0, 1, 4],\n [-4, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -84 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 2],\n [2, 1, 2, 4],\n [2, 2, 4, 0],\n [2, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1025 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-3, 4, -1, 1],\n [4, -2, 1, 2],\n [-1, 1, -3, 0],\n [1, 2, 0, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -4, 4],\n [3, 4, -2, 3],\n [-4, -1, 0, -2],\n [4, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3952 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -4, 1],\n [-4, 1, 4, 4],\n [-4, -2, 1, 3],\n [4, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 331 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, 0, 3],\n [4, 0, -3, 0],\n [-1, -1, 3, 1],\n [-3, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -54 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 1, 2, 4],\n [4, -2, 0, 0],\n [2, -4, 0, -3],\n [-4, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2328 | MATH |
[
{
"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 4, -2, -1],\n [4, 3, -2, 2],\n [-2, -2, -2, 0],\n [-1, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 33 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[3, -1, -1, 1],\n [0, -3, 1, -3],\n [-2, 1, -2, -4],\n [-3, 3, 4, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, 0, 3, -3],\n [3, -2, 3, 2],\n [3, -2, 0, -4],\n [-1, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -80 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[1, -1, 2, -1],\n [-1, -2, 4, 2],\n [2, 4, -3, -2],\n [-1, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -397 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, -4, -1],\n [-2, 1, -2, -3],\n [-3, 4, 0, 3],\n [3, -2, 1, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, 1, 2, -2],\n [1, -2, -2, 1],\n [2, -2, 1, 3],\n [-2, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 18 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 4, -4],\n [-1, 1, 4, -1],\n [-4, -1, 2, 1],\n [0, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -3, 1],\n [4, 2, 2, -2],\n [-2, -2, -2, -4],\n [-2, -4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 394 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 4, -1, 0],\n [4, 2, 3, 0],\n [-1, 3, -4, 2],\n [0, 0, 2, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -127 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -2],\n [0, -4, 1, 2],\n [0, 1, -4, -2],\n [-2, 2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8895 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, 1],\n [-3, -4, 3, 0],\n [-2, 4, -1, 0],\n [4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 101 | MATH |
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