A Minimality of the Rational Canonical Form

Heguo Liu; Honglian Zhang

doi:10.4236/alamt.2019.94006

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Advances in Linear Algebra & Matrix Theo... > Vol.9 No.4, December 2019

A Minimality of the Rational Canonical Form ()

¹School of Mathematics and Statistics, Hubei University, Wuhan, China.
²Department of Mathematics, Shanghai University, Shanghai, China.

DOI: 10.4236/alamt.2019.94006 PDF HTML 226 Downloads 396 Views

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.

Keywords

Minimal Polynomial, Rational Canonical Form, Cyclic Subspace

Share and Cite:

Liu, H. and Zhang, H. (2019) A Minimality of the Rational Canonical Form. Advances in Linear Algebra & Matrix Theory, 9, 83-88. doi: 10.4236/alamt.2019.94006.

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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