TITLE:
A Minimality of the Rational Canonical Form
AUTHORS:
Heguo Liu, Honglian Zhang
KEYWORDS:
Minimal Polynomial, Rational Canonical Form, Cyclic Subspace
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.9 No.4,
November
15,
2019
ABSTRACT: The rational canonical form theorem is very essential basic result of
matrix theory, which has been proved by different methods in the
literature. In this note, we provide an effcient direct proof, from
which the minimality for the decomposition of the rational canonical
form can be found.