On sums of idempotent matrices over a field of positive characteristic

Details On sums of idempotent matrices over a field of positive characteristic On sums of idempotent matrices over a field of positive characteristic

2009-07-30

arxiv.org/abs/0907.5360v2

Linear Algebra Appl. 433-4 (2010), 856-866

Mathematics

Rings and Algebras

16 pages, minor corrections from the first version

Scientific paper

10.1016/j.laa.2010.04.018

We study which matrices are sums of idempotents over a field of non-zero
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.

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