Rank equalities for idempotent and involutory matrices

Authors
Tian, YG Styan, GPH
Citation
Yg. Tian et Gph. Styan, Rank equalities for idempotent and involutory matrices, LIN ALG APP, 335, 2001, pp. 101-117
Citations number
19
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
335
Year of publication
2001
Pages
101 - 117
Database
ISI
SICI code
0024-3795(20010915)335:<101:REFIAI>2.0.ZU;2-I
Abstract
We establish several rank equalities for idempotent and involutory matrices . In particular, we obtain new formulas for the rank of the difference, the sum, the product and the commutator of idempotent or involutory matrices. Extensions to scalar-potent matrices are also included. Our matrices are co mplex and are not necessarily Hermitian. (C) 2001 Elsevier Science Inc. All rights reserved.