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Some rank equalities about combinations of two idempotent matrices
Authors:Kezheng Zuo
Institution:1.School of Mathematics and Statistics,Hubei Normal University,Huangshi,Hubei, China
Abstract:The paper researches the rank of combinations a PA + b AQ-c PAQ of two idempotent matrices P and Q. Using the properties of the idempotent matrix and elementary block matrix operation, we get some rank equalities for combinations a PA + b AQ-c PAQ of two idempotent matrices P and Q. These rank equalities generalize the results of Koliha J J, Rakočević V and Tian Y, and give some applications of the rank equalities.
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