| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601581 | Linear Algebra and its Applications | 2011 | 6 Pages |
Abstract
We show that every A∈Mn(Z2k-1) can be written as a sum of orthogonal matrices (QQT=QTQ=I) in Mn(Z2k-1). Moreover, we show that every A∈Mn(Z2k) can be written as a sum of orthogonal matrices in Mn(Z2k) if and only if the row sums and column sums of A have the same parities.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
