An example of linear mappings: extension to rhotrices

Abstract

Let U and V be vector spaces. A mapping is linear if for each and each scalar α; and . We extend this mapping to the case when U and V are rhotrix vector spaces and present its properties. We also proved that a recently proposed method of converting a rhotrix to a special matrix called ‘coupled matrix’ is a linear mapping.

Keywords:

• linear mappings
• rhotrix
• rhotrix vectors

AMS Subject Classifications::

• 15A03
• 15A04