This article studies the necessary and sufficient conditions to determine the solutions
of the matrix equation AX=B, which can be either reflexive and anti-reflexive matrix.
An n × n complex matrix A is said to be a reflexive (or anti-reflexive) if A = PAP
(or A = −PAP) where an n × n complex matrix P is said to be a generalized
reflection matrix if PH = P and P2 = I.
