A note on solutions of linear systems
Rings and Algebras
2013-07-23 v2
Abstract
In this paper we will consider Rohde's general form of {1}-inverse of a matrix A. The necessary and sufficient condition for consistency of a linear system Ax=c will be represented. We will also be concerned with the minimal number of free parameters in Penrose's formula x = A^(1) c + (I - A^(1)A)y for obtaining the general solution of the linear system. This results will be applied for finding the general solution of various homogenous and non-homogenous linear systems as well as for different types of matrix equations.
Cite
@article{arxiv.1304.7890,
title = {A note on solutions of linear systems},
author = {Branko Malesevic and Ivana Jovovic and Milica Makragic and Biljana Radicic},
journal= {arXiv preprint arXiv:1304.7890},
year = {2013}
}
Comments
Published in the ISRN Algebra, Vol. 2013