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2004•Journal of Putian UniversityRequires access

Linear Maps Preserving Inverses Matrices on Symmetric Matrix Space

Cao Chong-guang

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Abstract

Let R be real number field. Let Sn(R) be the linear space of all n×n symmetric matrices with entries in R. In this paper we give the forms of linear maps from Sn(F) to Sm(F) (m≥n) preserving inverse matrices.

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What this paper is about

Let R be real number field. Let Sn(R) be the linear space of all n×n symmetric matrices with entries in R. In this paper we give the forms of linear maps from Sn(F) to Sm(F) (m≥n) preserving inverse matrices.

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Available abstract

Let R be real number field. Let Sn(R) be the linear space of all n×n symmetric matrices with entries in R. In this paper we give the forms of linear maps from Sn(F) to Sm(F) (m≥n) preserving inverse matrices.

Key concepts: Mathematics, Inverse, Matrix (chemical analysis), Linear space, Space (punctuation), Field (mathematics), Linear map, Combinatorics

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