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dc.contributor.authorRungratgasame T.
dc.contributor.authorAmornpornthum P.
dc.contributor.authorBoonmee P.
dc.contributor.authorCheko B.
dc.contributor.authorFuangfung N.
dc.date.accessioned2021-04-05T03:24:21Z-
dc.date.available2021-04-05T03:24:21Z-
dc.date.issued2016
dc.identifier.issn1611712
dc.identifier.other2-s2.0-85006320908
dc.identifier.urihttps://ir.swu.ac.th/jspui/handle/123456789/13509-
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85006320908&doi=10.1155%2f2016%2f9721725&partnerID=40&md5=d103204fa18359836915e6208965312b
dc.description.abstractThe definition of a regular magic square motivates us to introduce the new special magic squares, which are reflective magic squares, corner magic squares, and skew-regular magic squares. Combining the concepts of magic squares and linear algebra, we consider a magic square as a matrix and find the dimensions of the vector spaces of these magic squares under the standard addition and scalar multiplication of matrices by using the rank-nullity theorem. © 2016 Thitarie Rungratgasame et al.
dc.titleVector Spaces of New Special Magic Squares: Reflective Magic Squares, Corner Magic Squares, and Skew-Regular Magic Squares
dc.typeArticle
dc.rights.holderScopus
dc.identifier.bibliograpycitationInternational Journal of Mathematics and Mathematical Sciences. Vol 2016, (2016)
dc.identifier.doi10.1155/2016/9721725
Appears in Collections:Scopus 1983-2021

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