Gui-Xiang Liu
Abstract
Let M=is real symmetric matrix,X is of full column rank,and the real symmetric matrix G=is the generalized inverses of M.In this paper,we give the conditions that B is the g-inverse,reflexive inverse and Moore-Penrose inverse of A,and obtain formulae for the corresponding generalized inverses of A.
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Let M=is real symmetric matrix,X is of full column rank,and the real symmetric matrix G=is the generalized inverses of M.In this paper,we give the conditions that B is the g-inverse,reflexive inverse and Moore-Penrose inverse of A,and obtain formulae for the corresponding generalized inverses of A.
Key concepts: Inverse, Mathematics, Generalized inverse, Matrix (chemical analysis), Moore–Penrose pseudoinverse, Rank (graph theory), Combinatorics, Multiplicative inverse