Ranks and the least norm of the general solution to a system of quaternion matri

We in this paper first establish a new expression of the general solution to the consistent system of linear quaternion matrix equations A1 X1 = C1, A2 X2 = C2, A3 X1 B1 + A4 X2 B2 = C3, which was investigated recently [Q.W. Wang, H.X. Chang, C.Y. Lin, P-(skew)symmetric common solutions to a pair of