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2012•Journal of Jilin University(Science Edition)Requires access

Necessary and Sufficient Conditions and Applications of Generalized m Involutory Matrix and(m,l) Idempotent Matrix

Liqin Huang

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Abstract

Based on the properties of the rank of the matrix polynomial,the necessary and sufficient conditions of generalized m involutory matrix and(m,l) idempotent matrix were obtained so as to generalize and improve the corresponding results of m involutory matrix and m-idempotent matrix.

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What this paper is about

Based on the properties of the rank of the matrix polynomial,the necessary and sufficient conditions of generalized m involutory matrix and(m,l) idempotent matrix were obtained so as to generalize and improve the corresponding results of m involutory matrix and m-idempotent matrix.

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Available abstract

Based on the properties of the rank of the matrix polynomial,the necessary and sufficient conditions of generalized m involutory matrix and(m,l) idempotent matrix were obtained so as to generalize and improve the corresponding results of m involutory matrix and m-idempotent matrix.

Key concepts: Involutory matrix, Idempotent matrix, Mathematics, Square root of a 2 by 2 matrix, Matrix (chemical analysis), Idempotence, Rank (graph theory), Polynomial matrix

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