Submitted:
05 June 2020
Posted:
05 June 2020
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Abstract
This note reconsiders a matrix equality $A_1A_2^{-}A_3A_4^{-}A_5 = A$ composed by six matrices of appropriate sizes, where $A_2^{-}$ and $A_4^{-}$ are generalized inverses of $A_2$ and $A_4$, respectively, and solves a selection of matrix set inclusion problems associated with various mixed reverse order laws for generalized inverses of products of two, three, and four matrices by means of this equality and its variations.
Keywords:
generalized inverse
; matrix product
; matrix equality
; reverse order law
; set inclusion
; rank equality
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