Penrose had gave a consistency condition for matrix equation system AX = C and XD=D. In this paper, we discuss the consistency condition and give the general solution of A1 XB1=C1 and A2XB2 = C2.

• Penrose关于矩阵方程组AX=C,XB=D的工作,给出了矩阵方程组 A_1XB_1=C_1,A_2XB_2=C_2的相容性条件,给出了通解表达式以及唯一解的充要条件。