A note on the equality of rank and trace for an idempotent matrix

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摘要

The equality of rank and trace for an idempotent matrix is established by means of elementary matrix factorizations. The proof is substantially simpler than most found in the literature.

论文关键词:Oblique projector,Matrix factorization

论文评审过程:Available online 5 February 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.02.001