Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601640 | Linear Algebra and its Applications | 2010 | 11 Pages |
Abstract
We study which square matrices are sums of idempotents over a field of positive characteristic; in particular, we prove that any such matrix, provided it is large enough, is actually a sum of five idempotents, and even of four when the field is a prime one.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory