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

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Issued Date

2016

Resource Type

Article

File Type

application/pdf

ISSN

1611712

DOI

10.1155/2016/9721725

Other identifier(s)

2-s2.0-85006320908

Rights Holder(s)

Scopus

Bibliographic Citation

International Journal of Mathematics and Mathematical Sciences. Vol 2016, (2016)

Suggested Citation

Rungratgasame T., Amornpornthum P., Boonmee P., Cheko B., Fuangfung N. Vector Spaces of New Special Magic Squares: Reflective Magic Squares, Corner Magic Squares, and Skew-Regular Magic Squares. International Journal of Mathematics and Mathematical Sciences. Vol 2016, (2016). doi:10.1155/2016/9721725 Retrieved from: https://hdl.handle.net/20.500.14740/5798

Title

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

Author(s)

Rungratgasame T.
 Amornpornthum P.
 Boonmee P.
 Cheko B.
 Fuangfung N.

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. © 2016 Thitarie Rungratgasame et al.

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URI

https://hdl.handle.net/20.500.14740/5798

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Scopus: Year 1983-2021

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