Vector Spaces of New Special Magic Squares: Reflective Magic Squares, Corner Magic Squares, and Skew-Regular Magic Squares

Thitarie Rungratgasame, Pattharapham Amornpornthum, Phuwanat Boonmee, Busrun Cheko and Nattaphon Fuangfung

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-7

Abstract:

The 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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9721725

DOI: 10.1155/2016/9721725

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