2000Journal of Mathematical Research and ExpositionRequires access

Several Properties of Idempoent and Nilpotent Matrices

Lixin Jia

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Abstract

Using a limit process, it is proved in this paper that the adjoint matrix of an idempotent matrix is idempotent and the adjoint matrix of a nilpotent matrix is also nilpotent. The results are richer than that in [1].

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What this paper is about

Using a limit process, it is proved in this paper that the adjoint matrix of an idempotent matrix is idempotent and the adjoint matrix of a nilpotent matrix is also nilpotent. The results are richer than that in [1].

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Available abstract

Using a limit process, it is proved in this paper that the adjoint matrix of an idempotent matrix is idempotent and the adjoint matrix of a nilpotent matrix is also nilpotent. The results are richer than that in [1].

Key concepts: Mathematics, Nilpotent, Nilpotent matrix, Idempotent matrix, Idempotence, Matrix (chemical analysis), Pure mathematics, Nilpotent group

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