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The reverse order law for {1, 3, 4}-inverse of the product of two matrices
Authors:Deqiang Liu
Affiliation:College of Mathematics and Physics, Chongqing University, Chongqing 400030, China
Abstract:The relationship between {1, 3, 4}-inverses of AB and the product of {1, 3, 4}-inverses of A and B have been studied in this paper. The necessary and sufficient conditions for B{1,3,4}A{1,3,4}⊆(AB){1,3,4}, B{1,3,4}A{1,3,4}⊇(AB){1,3,4} and B{1,3,4}A{1,3,4}=(AB){1,3,4} are given.
Keywords:Reverse order law   Generalized inverse   Maximal ranks   Minimal ranks
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