A Minimality of the Rational Canonical Form

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


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.

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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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[4] Hartwig, R.E. (1996) Roth's Removal Rule and the Rational Canonical Form. The American Mathematical Monthly, 103, 332- 335.

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