Solution of a system of linear equations in an integral ring

✍ Scribed by G.I. Malashonok

• Publisher: Elsevier Science
• Year: 1983
• Weight: 187 KB
• Volume: 23
• Category: Article
• ISSN: 0041-5553
• DOI: 10.1016/s0041-5553(83)80087-1

✦ Synopsis

A modified Gauss's algorithm for solving a system of linear equations in an integral ring is proposed, as well as an appropriate algorithm for calculating the elements of the adjoint matrix. i. Introduction.

Consider the system of linear equations E a,jz~=a,..+,, /=1,2 .... ,n,, (i .i)

whose coefficients and constants belong to the integral commutative ring R. We shall express this system using the augmented aX(n+|) matrix