Article ID Journal Published Year Pages File Type
4603676 Linear Algebra and its Applications 2007 4 Pages PDF
Abstract

We prove that if a partial integral matrix has a free diagonal then this matrix can be completed to a unimodular matrix. Such a condition is necessary in a general sense. Consequently if an n × n (n ⩾ 2) partial integral matrix has 2n − 3 prescribed entries and any n entries of these do not constitute a row or a column then it can be completed to a unimodular matrix. This improves a recent result of Zhan.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory