is_special_orthogonal(matrix: numpy.ndarray, *, rtol: float = 1e-05, atol: float = 1e-08) → bool¶
Determines if a matrix is approximately special orthogonal.A matrix is special orthogonal if it is square and real and its transposeis its inverse and its determinant is one.
- matrix – The matrix to check.
- rtol – The per-matrix-entry relative tolerance on equality.
- atol – The per-matrix-entry absolute tolerance on equality.
Whether the matrix is special orthogonal within the given tolerance.