messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, 4, 0],\n [1, 2, -2, 0],\n [4, -2, 3, -3],\n [0, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -2, -1, -2],\n [-2, 3, 2, 0],\n [-1, 2, 4, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -60 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -3, -2, 3],\n [0, -2, 2, -2],\n [0, 3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -16 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 4, 4, 2],\n [4, 0, 0, 0],\n [4, 0, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 564 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, 1, 3],\n [4, -2, 1, 3],\n [3, -4, 4, -1],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -847 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 2, 4, -2],\n [2, 3, -3, 3],\n [4, -3, 3, 0],\n [-2, 3, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1747 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 4, -2],\n [0, 2, 0, 2],\n [4, 0, 0, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 592 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, 2, 1],\n [3, 1, 2, 4],\n [2, -2, -2, -3],\n [4, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12200 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -2, -1],\n [1, -2, 3, 0],\n [-2, 3, -3, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4789 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, 3],\n [-3, 2, -2, -3],\n [0, -1, 3, -2],\n [1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -125 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, 4, -4],\n [-2, 4, -2, -1],\n [4, -3, -2, -4],\n [0, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -481 | 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, -2],\n [-1, -2, -4, 2],\n [0, -4, 2, -4],\n [-2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19514 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 3, -3, -1],\n [-1, 0, 1, -3],\n [-3, -3, 2, 4],\n [-2, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 132 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -2, -1],\n [2, -3, 2, 2],\n [-2, 2, 4, 3],\n [-1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7298 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 2, 3],\n [-1, 3, 4, 2],\n [-3, 0, -4, 1],\n [-4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 617 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, -4],\n [2, -2, -2, 1],\n [-1, -3, 4, -4],\n [1, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, -2, -1],\n [4, 0, -4, -1],\n [2, -2, 0, 0],\n [-1, 1, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, 0, 0],\n [0, 1, 1, 0],\n [3, -1, 0, -2],\n [0, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 54 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 0, -3, 1],\n [0, -1, -1, 2],\n [-3, -1, -1, 1],\n [1, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -196 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 2, -2, 2],\n [2, 3, 3, 3],\n [-2, 3, 2, -2],\n [2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 238 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, 3, -3],\n [2, 2, -2, -3],\n [-3, 2, -4, -2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 375 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1, -4],\n [-2, -2, 0, 0],\n [-1, 1, -4, -3],\n [-4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7660 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -2, -3],\n [-2, 1, 1, 2],\n [-2, 1, 3, 2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3157 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 0, -2, 1],\n [0, 1, 0, -2],\n [-2, 0, -4, 0],\n [1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, -2, 1],\n [-2, -3, 3, 0],\n [-1, -3, 2, 3],\n [-2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 909 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 1, 2, -2],\n [2, -4, -3, -2],\n [4, -2, -1, 3],\n [4, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 66 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -3, 1, -4],\n [1, -1, -4, 4],\n [4, -4, -2, 1],\n [3, -2, -1, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 4, 0, 2],\n [-2, 0, 3, -2],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1290 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 1],\n [-2, 1, -2, -1],\n [0, -2, -4, 0],\n [1, -1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 411 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -2, 4],\n [-1, -3, -4, -1],\n [3, -4, -2, -3],\n [0, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1011 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 0],\n [1, 1, 0, -1],\n [2, -4, -2, 2],\n [-4, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 338 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 1, 1, -1],\n [-4, 0, -4, 3],\n [-1, 3, 3, 0],\n [-4, 3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 730 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, -3],\n [0, -4, -2, 0],\n [1, -2, 1, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 321 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 3, -3, 3],\n [-1, 0, -4, -1],\n [1, -3, -3, 3],\n [4, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 555 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 4, -2],\n [-2, 3, -3, 0],\n [-4, 1, 2, 3],\n [3, -4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7055 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 3],\n [-2, 2, -2, -2],\n [4, -2, 4, -2],\n [3, -2, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 318 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, 4, 2, 0],\n [0, 2, -1, -2],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 987 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -2, -2, 0],\n [-4, 3, 1, -1],\n [-2, -1, -3, 0],\n [1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -229 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 0, 1],\n [2, 3, 4, 0],\n [0, 4, -3, -4],\n [1, 0, -4, -3]]\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^4 where A is:\n[[-1, -2, -1, 1],\n [-2, -3, -2, 1],\n [-1, -2, -1, 4],\n [1, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7399 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -3, 1],\n [-3, 3, -2, -1],\n [-4, 3, -2, -3],\n [-4, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 814 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 3, -4],\n [-4, -1, 2, -4],\n [3, -3, 0, -3],\n [4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1202 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, -4, 0],\n [1, 2, 2, 4],\n [-4, 2, -2, 2],\n [0, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 183 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, -3, -1, 2],\n [0, -1, -3, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 681 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 1],\n [3, 1, 2, 4],\n [0, 1, -1, -3],\n [3, 2, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5056 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 2],\n [-1, -3, -1, -1],\n [0, -4, 4, -1],\n [0, 4, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2409 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 0, -2],\n [1, 2, 4, -2],\n [0, 4, 1, 1],\n [-2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2338 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -1, -4],\n [-4, -3, -4, 1],\n [1, 4, -2, -2],\n [-4, -3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2665 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, -1],\n [-3, 3, -2, 1],\n [-4, 1, -2, 3],\n [2, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 538 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 1],\n [-2, -3, 1, 0],\n [0, 4, -4, -3],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5765 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, -3, 2],\n [1, -3, -2, 3],\n [1, 2, -4, 2],\n [4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 858 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -3, 0],\n [-1, 2, 4, 3],\n [1, 2, 2, 3],\n [-3, 1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1485 | 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, 0],\n [2, 0, 0, 1],\n [2, 0, 2, -1],\n [0, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 748 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 3, -4],\n [-4, -4, 0, 0],\n [2, -2, 3, -2],\n [0, 3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 376 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, -4, 2, 0],\n [2, 2, 2, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 64 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, -2, -1, 0],\n [-2, -1, -2, 4],\n [-1, -2, 0, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -62 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 3, -3],\n [0, -4, -4, 0],\n [3, 4, 2, 2],\n [-1, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -144 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, 0],\n [4, 2, 0, 2],\n [1, 0, 3, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4138 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2, 1],\n [0, 0, 0, 0],\n [2, 0, 4, 2],\n [1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 400 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, 1],\n [3, -1, -4, 2],\n [-2, -4, 3, 2],\n [-1, 0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 243 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, 1],\n [-3, 4, -2, -2],\n [-2, 2, -3, 0],\n [4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10989 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 4, 0, -1],\n [-1, 4, 3, 4],\n [-2, -2, 1, 0],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3376 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, 2, 4, -3],\n [-4, 0, 1, 2],\n [4, -3, 4, 0],\n [-1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -95 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -3],\n [3, 2, -4, -4],\n [4, 3, -3, 2],\n [-3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 156 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, -4],\n [2, 1, 0, -2],\n [0, 0, -1, -2],\n [-4, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1059 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 0, 4, -2],\n [2, 4, 3, 3],\n [-1, -1, -4, 2],\n [4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 476 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, -2],\n [0, 0, 0, 0],\n [2, 0, -4, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 185 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -3],\n [-2, 1, -3, 2],\n [-4, 0, 2, 0],\n [1, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 500 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 4, -4, -2],\n [2, -4, 4, -3],\n [1, 3, 4, -2],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -149 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 2, 4],\n [2, 2, 0, 1],\n [2, 0, 3, -1],\n [4, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 124 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, 0],\n [2, -3, -1, -3],\n [4, -1, -2, 0],\n [0, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1835 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 4, -1, 0],\n [-1, 1, 2, 4],\n [1, -2, 2, -3],\n [4, 0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 632 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, -2, 2],\n [0, -4, 0, 3],\n [-2, 0, 0, 0],\n [2, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -80 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 0, -4, 0],\n [0, -2, -3, 3],\n [-3, -2, 3, 1],\n [1, -2, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 2],\n [4, 2, 0, 1],\n [-2, -1, -1, 4],\n [4, -2, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 404 | 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, 3, 2],\n [3, 4, 0, 3],\n [-4, -2, -3, -2],\n [1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2804 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 2, -2, 0],\n [2, -1, 2, -2],\n [-2, 2, -4, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -156 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 0, 1],\n [4, -3, -2, -3],\n [-4, -4, 4, -4],\n [4, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3350 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 1, -2],\n [2, 4, -1, 2],\n [1, -3, 2, -1],\n [1, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 74 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, -2, -4, 1],\n [4, 3, 0, 0],\n [3, 4, 0, 4],\n [-4, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -567 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 4, -2],\n [-2, 4, 2, 0],\n [4, 2, -4, -1],\n [-2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 0, 0],\n [-3, -1, -3, -2],\n [0, -3, -4, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1183 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 0],\n [0, 4, -2, -3],\n [2, -2, -1, 0],\n [0, -3, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 168 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 0],\n [2, -3, 0, 0],\n [-2, 0, -3, -2],\n [0, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -294 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, -2, 0],\n [-2, -1, -3, 0],\n [-2, -3, 4, -2],\n [0, 0, -2, 1]]\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 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, 4, 1, 2],\n [-2, 1, 3, 0],\n [2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2582 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, -2],\n [-2, -2, 2, 4],\n [0, 2, 2, 2],\n [-2, 4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5041 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 4, -2, -3],\n [4, -1, 2, -2],\n [-2, 2, -2, -2],\n [-3, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 706 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 0],\n [0, 1, -3, 1],\n [0, -3, 1, 2],\n [0, 1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 335 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, 0],\n [0, -3, 2, 1],\n [-1, 2, 1, -1],\n [0, 1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 0, 2],\n [-2, 2, -4, 4],\n [0, -4, 3, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 679 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 4, -1, -2],\n [4, 3, -2, -4],\n [-1, -2, -2, 0],\n [-2, -4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11218 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[4, 0, -3, 3],\n [3, 3, 0, 0],\n [-4, 3, -4, 2],\n [4, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -38 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 1, 2],\n [0, 1, 0, 2],\n [1, 0, 2, -3],\n [2, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 501 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 2],\n [2, 2, 1, 0],\n [0, 1, 3, 3],\n [2, 0, 3, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 2, -3],\n [2, -2, 4, 4],\n [4, 3, -4, 0],\n [1, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1770 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 3, -3],\n [-4, -2, 2, -3],\n [0, 0, -3, -3],\n [4, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6042 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 2],\n [2, -2, -2, 3],\n [0, -2, 4, 0],\n [2, 3, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1108 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, 3],\n [-2, -2, -2, 0],\n [3, -2, -1, -3],\n [4, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 2, -1, 0],\n [2, -1, -2, -1],\n [-1, -2, 4, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.