New proofs of two representations and minor of generalized inverse AT,S(2)

摘要

In this paper, we prove the limit representation for the generalized inverse AT,S(2) of a given complex matrix A in a simpler way. Then, using this representation, two known results, the generalized inverse AT,S(2) as an analogs of convex combination with the minor of adjA and the representation of the minor of the generalized inverse AT,S(2), were derived anew. As a special case of the minor, a determinantal representation of the generalized inverse AT,S(2) is obtained.