Nonsingularity of linear combinations of idempotent matrices
type: Item
instance of: scholarly article
title: Nonsingularity of linear combinations of idempotent matrices
zbMATH Open document ID: 1081.15017
author: Jerzy K. Baksalary
author: Oskar Maria Baksalary
published in: Linear Algebra and its Applications
publication date: 2004-10-04T00:00:00Z
review text: The authors show that, for idempotent \(n\times n\) complex matrices \(P_1\) and \(P_2\), the nonsingularity of \(P_1+P_2\) is equivalent to the nonsingularity of \(c_1P_1+c_2P_2\), where \(c_1\) and \(c_2\) are nonzero complex numbers satisfying \(c_1+c_2\neq0\).
reviewed by: Omar Hirzallah
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 2105728
zbMATH Keywords: oblique projector
zbMATH Keywords: difference of projectors
zbMATH Keywords: sum of projectors
zbMATH Keywords: linear combination of projectors
MaRDI profile type: Publication
full work available at URL: j.laa.2004.02.025
OpenAlex ID: W1976601561
cites work: Nonsingularity of the Difference of Two Oblique Projectors
cites work: The difference and sum of projectors
DOI: 10.1016/J.LAA.2004.02.025
description: scientific article; zbMATH DE number 2105728