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A Minimality of the Rational Canonical Form
School of Mathematics and Statistics, Hubei University, Wuhan, China
Department of Mathematics, Shanghai University, Shanghai, China
- 1 School of Mathematics and Statistics, Hubei University, Wuhan, China
- 2 Department of Mathematics, Shanghai University, Shanghai, China
Advances in Linear Algebra & Matrix Theory·Volume 09 (2019)·Pages 83–88·Published 15 November 2019·DOI10.4236/alamt.2019.94006
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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.
KeywordsMinimal PolynomialRational Canonical FormCyclic Subspace
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