The authors consider the system of linear quaternion matrix equations
which is presumed consistent. They establish a new expression of its general solution; the system has been investigated recently by Q.-W. Wang, H.-X. Chang
and C.-Y. Lin
[Appl. Math. Comput. 195, No. 2, 721–732 (2008; Zbl 1149.15011
)]. The authors derive the minimal and maximal ranks and the least-norm of the general solution to the system. Some previously known results are special cases of the ones in this paper.