On linear combinations of two idempotent matrices over an arbitrary field
Rings and Algebras
2010-05-14 v2
Abstract
Given an arbitrary field K and non-zero scalars a and b, we give necessary and sufficient conditions for a matrix A in M_n(K) to be a linear combination of two idempotents with coefficients a and b. This extends results previously obtained by Hartwig and Putcha in two ways: the field K considered here is arbitrary (possibly of characteristic 2), and the case a is different from b and -b is taken into account.
Keywords
Cite
@article{arxiv.0907.4436,
title = {On linear combinations of two idempotent matrices over an arbitrary field},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:0907.4436},
year = {2010}
}
Comments
18 pages (minor corrections)