必要、足够的条件在任意的斜域上为一般解决方案,中心对称的解决方案,和线性矩阵方程的一个系统的 centroskewsymmetric 答案的存在被给。系统的如此的答案的代表也被导出。
Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric solution to a system of linear matrix equations over an arbitrary skew field. The representations of such the solutions of the system are also derived.