Unitarily, Orthogonally Equivalent
Definition 1. Let A,B∈Mn×n(C) [Mn×n(R)]. Then A and B are unitarily equivalent [orthogonally equivalent] if there exists a unitary [orthogonal] matrix P such that A=P∗BP [A=PtBP].
Definition 1. Let A,B∈Mn×n(C) [Mn×n(R)]. Then A and B are unitarily equivalent [orthogonally equivalent] if there exists a unitary [orthogonal] matrix P such that A=P∗BP [A=PtBP].