An example of linear mappings: extension to rhotrices

• Autores: Abdulhadi Aminu
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 5, 2010, págs. 691-698
• Idioma: inglés
• DOI: 10.1080/00207391003605213
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• Resumen

  • Let U and V be vector spaces. A mapping [image omitted] is linear if for each [image omitted] and each scalar a; [image omitted] and [image omitted]. 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.