On nonsingularity of combinations of three group invertible matrices and three tripotent matrices

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dc.contributor.authorBe?itez, Julio
dc.contributor.authorSarduvan, Murat
dc.contributor.authorÜlker, Sedat
dc.contributor.authorÖzdemir, Halim
dc.date.accessioned2019-05-13T08:57:10Z
dc.date.available2019-05-13T08:57:10Z
dc.date.issued2013
dc.departmentHitit Üniversitesi, Osmancık Ömer Derindere Meslek Yüksekokulu, Mimarlık ve Şehir Planlama Bölümü
dc.description.abstractLet T?=?c 1 T 1?+?c 2 T 2?+?c 3 T 3???c 4(T 1 T 2?+?T 3 T 1?+?T 2 T 3), where T 1, T 2, T 3 are three n?×?n tripotent matrices and c 1, c 2, c 3, c 4 are complex numbers with c 1, c 2, c 3 nonzero. In this article, necessary and sufficient conditions for the nonsingularity of such combinations are established and some formulae for the inverses of them are obtained. Some of these results are given in terms of group invertible matrices.
dc.identifier.citationBenítez, J., Sarduvan, M., Ülker, S., Özdemir, H. (2013). On nonsingularity of combinations of three group invertible matrices and three tripotent matrices. Linear and Multilinear Algebra, 61(4), 463-481.
dc.identifier.doi10.1080/03081087.2012.689986
dc.identifier.endpage481en_US
dc.identifier.issn0308-1087
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage463en_US
dc.identifier.urihttps://doi.org/10.1080/03081087.2012.689986
dc.identifier.urihttps://hdl.handle.net/11491/864
dc.identifier.volume61en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.relation.ispartofLinear and Multilinear Algebra
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDiagonalizationen_US
dc.subjectGroup Invertible Matrixen_US
dc.subjectNonsingularityen_US
dc.subjectTripotent Matrixen_US
dc.titleOn nonsingularity of combinations of three group invertible matrices and three tripotent matrices
dc.typeArticle

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