The general solution to a system of real quaternion matrix equations

In this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, and A4XB4 = C4, over the real quaternion algebra . A necessary and sufficient condition for the existence and the expression of the general solution to the system are given. As particular cases, the corresponding results on other systems over are also obtained