Some Rank Equalities about Combinations of Two Idempotent Matrices

作     者：ZUO Kezheng ZUO Kezheng School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,Hubei,China

作者机构：School of Mathematics and Statistics Hubei Normal UniversityHuangshi 435002 Hubei China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2010年第15卷第5期

页      面：380-384页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：idempotent matrix rank invertibility range null space 

摘      要：The paper researches the rank of combinations a PA＋bAQ-cPAQ of two idempotent matrices P and *** the properties of the idempotent matrix and elementary block matrix operation,we get some rank equalities for combinations a PA＋bAQ-cPAQ of two idempotent matrices P and *** rank equalities generalize the results of Koliha J J,Rakoevi V and Tian Y,and give some applications of the rank equalities.