Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules

Details Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules

2010-04-27

arxiv.org/abs/1004.4761v1

I. I. Kyrchei, Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules, Linear and Multilinear a

Mathematics

Rings and Algebras

19 pages

Scientific paper

In this article, we introduce determinantal representations of the Moore - Penrose inverse and the Drazin inverse which are based on analogues of the classical adjoint matrix. Using the obtained analogues of the adjoint matrix, we get Cramer rules for the least squares solution and for the Drazin inverse solution of singular linear systems. Finally, determinantal expressions for ${\rm {\bf A}}^{+} {\rm {\bf A}}$, ${\rm {\bf A}} {\rm {\bf A}}^{+}$, and ${\rm {\bf A}}^{D} {\rm {\bf A}}$ are presented.

Affiliated with

Also associated with

No associations

Rating

Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analogues of the adjoint matrix for generalized inverses and corresponding Cramer rules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237081