2023/08/30 by Mabilat, Flavien
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2308.15845
In this note, we consider matrices similar to X-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 X-form matrices over ℝ and ℂ are dense and we give a characterization of the interior of this set.