Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603676 | Linear Algebra and its Applications | 2007 | 4 Pages |
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.
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