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2009•Journal of Hubei Normal UniversityRequires access

Some rank equalities of some outer inverses of the same matrix

Tao Xie

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Abstract

By using the properties of outer inverses of matrix and the necessary and sufficient condition of the solution of the matrix equation MFX+YEM=N,the ranks of some outer inverses of the same matrix A is researched and some rank equalities of outer inverses of the matrix A is obtained,which generalized the results of Tian Y and Styan G P H(when does rank(ABC)=rank(AB)+rank(BC)-rank(B)hold?Internat J Math ED Sci.Technol,2002,33:127～137.).

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By using the properties of outer inverses of matrix and the necessary and sufficient condition of the solution of the matrix equation MFX+YEM=N,the ranks of some outer inverses of the same matrix A is researched and some rank equalities of outer inverses of the matrix A is obtained,which generalized the results of Tian Y and Styan G P H(when does rank(ABC)=rank(AB)+rank(BC)-rank(B)hold?Internat J Math ED Sci.Technol,2002,33:127～137.).

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Available abstract

By using the properties of outer inverses of matrix and the necessary and sufficient condition of the solution of the matrix equation MFX+YEM=N,the ranks of some outer inverses of the same matrix A is researched and some rank equalities of outer inverses of the matrix A is obtained,which generalized the results of Tian Y and Styan G P H(when does rank(ABC)=rank(AB)+rank(BC)-rank(B)hold?Internat J Math ED Sci.Technol,2002,33:127～137.).

Key concepts: Rank (graph theory), Mathematics, Matrix (chemical analysis), Combinatorics, Pure mathematics, Chemistry, Chromatography

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