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Generalized Inverse of Matrix Products by vahid is a document available to read on EtoBox.
This document presents a method for finding the generalized inverse matrix for the product of matrices. It introduces the concept of "sandwich sets" of matrices, which are sets of idempotent matrices that satisfy certain properties with respect to other idempotent matrices. The key result is Theorem 3, which states that if A and B are matrices with generalized inverses A- and B-, then B-GA- is a generalized inverse of the product AB for any G in the sandwich set of A-A and BB-. Several corollaries simplify
- Author
- vahid
- Language
- EN