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dc.contributor.authorEvard, J. C.
dc.contributor.authorJafari, Farhad
dc.date1994-02-01
dc.date.accessioned2018-06-10T21:40:55Z
dc.date.available2018-06-10T21:40:55Z
dc.identifierhttp://repository.uwyo.edu/math_facpub/10
dc.identifierhttp://repository.uwyo.edu/cgi/viewcontent.cgi?article=1009&context=math_facpub
dc.identifier.urihttps://hdl.handle.net/20.500.11919/1578
dc.description.abstractIt is well known that the set of all square invertible real matrices has two connected components. The set of all m x n rectangular real matrices of rank r has only one connected component when m ≠ n or r < m = n. We show that all these connected components are connected by analytic regular arcs. We apply this result to establish the existence of p-times differentiable bases of the kernel and the image of a rectangular real matrix function of several real variables.
dc.languageEnglish
dc.language.isoeng
dc.publisherUniversity of Wyoming. Libraries
dc.sourceMathematics Faculty Publications
dc.subjectMathematics
dc.titleSet of All MXN Rectangular Real Matrices of Rank-R Is Connected by Analytic Regular Arcs, The
dc.typeArticle
dc.identifier.doi10.2307/2159876
dcterms.title.journalProceedings of the American Mathematical Society


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