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