# cirq.is_special_orthogonal¶

cirq.is_special_orthogonal(matrix: numpy.ndarray, tolerance: cirq.linalg.tolerance.Tolerance = Tolerance(rtol=1e-05, atol=1e-08, equal_nan=False)) → bool[source]

Determines if a matrix is approximately special orthogonal.

A matrix is special orthogonal if it is square and real and its transpose
is its inverse and its determinant is one.
Parameters: matrix – The matrix to check. tolerance – The per-matrix-entry tolerance on equality. Whether the matrix is special orthogonal within the given tolerance.