4 research outputs found
A simple demonstration of the existence of the jordan canonical form for any square matrix
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)