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摘要: 证明了任意体上矩阵乘积的一条分解定理. 利用该分解定理作为工具,获得了任意体上矩阵乘积的g-逆和自反g-逆的反序律的充分必要条件.Abstract: In this paper, we prove a decomposition theorem of matrix pair over an arbitrary skew field. By applying the decomposition theorem, we obtain some neccessary and sufficient conditions of reverse order laws for g-inverse and reflexive g-inverse of matrix products on an arbitrary skew field.
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