ScholarLens Back to search
2009•Journal of MathematicsRequires access

NONSINGULARITY OF COMBINATIONS OF IDEMPOTENT MATRICES

Tao Xie

Open publisher page 3 citations

Abstract

The paper researches the nonsingularity of combinations aP+bQ-cPQ-dQP-ePQP of two idempotent matrices P and Q(a,b,c,d,e∈,a≠0,b≠0).By using the nonsingularity of P-Q and the properties of idempotent matrix,we get some necessary and sufficient conditions of the invertibility of combinations aP+bQ-cPQ-dQP-ePQP of two idempotent matrices P and Q(a,b,c,d,e∈,a≠0,b≠0),which generalizes the results of J.J.Koliha and V.Rakoevi[1],Zuo Ke-zheng[2].

About this research paper

What this paper is about

The paper researches the nonsingularity of combinations aP+bQ-cPQ-dQP-ePQP of two idempotent matrices P and Q(a,b,c,d,e∈,a≠0,b≠0).By using the nonsingularity of P-Q and the properties of idempotent matrix,we get some necessary and sufficient conditions of the invertibility of combinations aP+bQ-cPQ-dQP-ePQP of two idempotent matrices P and Q(a,b,c,d,e∈,a≠0,b≠0),which generalizes the results of J.J.Koliha and V.Rakoevi[1],Zuo Ke-zheng[2].

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The paper researches the nonsingularity of combinations aP+bQ-cPQ-dQP-ePQP of two idempotent matrices P and Q(a,b,c,d,e∈,a≠0,b≠0).By using the nonsingularity of P-Q and the properties of idempotent matrix,we get some necessary and sufficient conditions of the invertibility of combinations aP+bQ-cPQ-dQP-ePQP of two idempotent matrices P and Q(a,b,c,d,e∈,a≠0,b≠0),which generalizes the results of J.J.Koliha and V.Rakoevi[1],Zuo Ke-zheng[2].

Key concepts: Idempotence, Mathematics, Idempotent matrix, Combinatorics, Matrix (chemical analysis), Pure mathematics, Chemistry, Chromatography

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
NONSINGULARITY OF COMBINATIONS OF IDEMPOTENT MATRICES — Research Paper | ScholarLens