Rank equalities for idempotent matrices with applications
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摘要
We show by elementary block matrix operations a variety of rank equalities related to sums of two idempotent matrices, and give various consequences and applications.
论文关键词：15A03,15A24,Idempotent matrix,Orthogonal projector,Rank equalities,Rank formulas for partitioned matrices,Range equalities,Nonsingularity,Elementary block matrix operations,Generalized inverse
论文评审过程：Received 7 April 2003, Revised 1 April 2005, Available online 13 June 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2005.04.023
