| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603929 | Linear Algebra and its Applications | 2006 | 5 Pages |
Abstract
We first characterize submatrices of a unimodular integral matrix. We then prove that if n entries of an n × n partial integral matrix are prescribed and these n entries do not constitute a row or a column, then this matrix can be completed to a unimodular matrix. Consequently an n × n partial integral matrix with n − 1 prescribed entries can always be completed to a unimodular matrix.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
