A simple demonstration of the existence of the jordan canonical form for any square matrix

AUTOR(ES)

Nicol, Robert Norman V. C.

DATA DE PUBLICAÇÃO

01/07/2010

RESUMO

All the demonstrations known to this author of the existence of the Jordan Canonical Form are somewhat complex - usually invoking the use of new spaces, and what not. These demonstrations are usually too difficult for an average Mathematics student to understand how he or she can obtain the Jordan Canonical Form for any square matrix. The method here proposed not only demonstrates the existence of such forms but, additionally, shows how to find them in a step by step manner. I do not claim that the following demonstration is in any way “elegant” (by the standards of elegance in fashion nowadays among mathematicians) but merely simple (undergraduate students taking a fist course in Matrix Algebra would understand how it works).

Documentos Relacionados

• ON THE NUCLEI OF A SIMPLE JORDAN ALGEBRA*
• A Simple Technique for the Demonstration of Urinary Casts
• THE RANK FUNCTION OF ANY SIMPLE ALGEBRA
• A simple square-wave voltammetric method for the determination of scopolamine in pharmaceuticals using a boron-doped diamond electrode
• Electrophoretic and Immunochemical Demonstration of the Existence of Four Human Pepsinogens*