# NOTES ON THE MOORE-PENROSE INVERSE OF A LINEAR COMBINATION OF COMMUTING GENERALIZED AND HYPERGENERALIZED PROJECTORS

### Abstract

**The aim of this paper is to give alternate representations of the Moore-Penrose inverse of a linear combination of generalized and hypergeneralized projectors and to provide alternate proofs of the invertibility of some linear combination of commuting generalized and hypergeneralized projectors.**

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