cirq.is_special_orthogonal(matrix: numpy.ndarray, *, rtol: float = 1e-05, atol: float = 1e-08) → 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.
  • 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.