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

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.

Returns:

Whether the matrix is special orthogonal within the given tolerance.