A dense subset of $M\_{n}(\mathbb{R})$ containing diagonalizable matrices
Rings and Algebras
2023-08-31 v1
Abstract
In this note, we consider matrices similar to -form matrices, which are the matrices for which only the diagonal and the anti-diagonal elements can be different from zero. First, we give a characterization of these matrices using the minimal polynomial. Then, we prove that the set of matrices similar to -form matrices over and are dense and we give a characterization of the interior of this set.
Cite
@article{arxiv.2308.15845,
title = {A dense subset of $M\_{n}(\mathbb{R})$ containing diagonalizable matrices},
author = {Flavien Mabilat},
journal= {arXiv preprint arXiv:2308.15845},
year = {2023}
}