Abstract: Let P,Qand Q be an arbitrary skew field,a skew field with an involutorial antiautomorphism,  a strong p-division ring,respectively.This paper is sequel to[1].A practical method of finding the general solution of the system of matrix equations over F ...  presented.The necessary and sufficient conditions for the existence of and the explicit expressions for the self-conjugate matrix solution over Q,the positive semidefinite self-conjugate matrix solution over Q of the system are derived.

Key words:  , skew field, strong p-division ring, self-conjugate matrix, system of matrix cquations, basic solution matrix