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2011•Journal of Huzhou Teachers CollegeRequires access

Generalized Inverse of Linear Mapping in Euclidean Space

Qian Li

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Abstract

Linear maps and generalized inverses are very important objects in Higher Algebra.Some properties of generalized inverses of linear translations are studied in many papers.However,there are few researches about generalized inverses of linear maps.With the conjugation of matrices,we give the definition of the generalized inverse of a linear mapping in Euclidean Space and study its some properties.They can help for study and applications of matrix theories.

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What this paper is about

Linear maps and generalized inverses are very important objects in Higher Algebra.Some properties of generalized inverses of linear translations are studied in many papers.However,there are few researches about generalized inverses of linear maps.With the conjugation of matrices,we give the definition of the generalized inverse of a linear mapping in Euclidean Space and study its some properties.They can help for study and applications of matrix theories.

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Available abstract

Linear maps and generalized inverses are very important objects in Higher Algebra.Some properties of generalized inverses of linear translations are studied in many papers.However,there are few researches about generalized inverses of linear maps.With the conjugation of matrices,we give the definition of the generalized inverse of a linear mapping in Euclidean Space and study its some properties.They can help for study and applications of matrix theories.

Key concepts: Generalized inverse, Mathematics, Generalized linear array model, Linear map, Euclidean space, Inverse, Euclidean geometry, Linear operators

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