Similarity and matrices of constant rank
type: Item
instance of: scholarly article
title: Similarity and matrices of constant rank
zbMATH Open document ID: 0938.15004
DOI: 10.1016/S0024-3795(99)00091-9
author: J.-C. Flick-D'Ornano
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: If \(M\) and \(N\) are in \(M(n,\mathbb{C})\) and have the same rank, then there exist \(P\) and \(Q\) in \(GL(n,\mathbb{C})\) such that \(PMQ=N\). It is shown that \(P\) and \(Q\) can be chosen to be similar, or, equivalently, that there exist invertible matrices \(R\) and \(S\) such that \(RSMSR=N\).
reviewed by: Giacomo Bonanno
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1371412
zbMATH Keywords: similarity
zbMATH Keywords: matrices of constant rank
zbMATH Keywords: permutation matrix
MaRDI profile type: Publication
full work available at URL: s0024-3795(99)00091-9
OpenAlex ID: W2052018379
Wikidata QID: Q128089388
description: scientific article; zbMATH DE number 1371412