Article ID Journal Published Year Pages File Type
4603570 Linear Algebra and its Applications 2008 10 Pages PDF
Abstract

It is well known that a singular integer matrix can be factorized into a product of integer idempotent matrices. In this paper, we prove that every n × n (n > 2) singular integer matrix can be written as a product of 3n + 1 integer idempotent matrices. This theorem has some application in the field of synthesizing VLSI arrays and systolic arrays.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory