Computing the Moore–Penrose inverse of a matrix with a Computer Algebra System

Abstract

In this paper Derive functions are provided for the computation of the Moore–Penrose inverse of a matrix, as well as for solving systems of linear equations by means of the Moore–Penrose inverse. Making it possible to compute the Moore–Penrose inverse easily with one of the most commonly used Computer Algebra Systems–and to have the blueprint to write such a function in other Computer Algebra Systems or in a matrix programming language such as Gauss–may promote the use of generalized inverses in the teaching of linear algebra.

Keywords:

• Computer Algebra System
• Moore–Penrose inverse
• system of linear equations

AMS Subject Classifications:

• 97U70
• 15A09
• 15A06