Using matrices in studying the replication property for magic squares
Date of Publication
1997
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis presents the replication property of magic squares. It deals mainly with matrices and their properties wherein applications of linear algebra and complex analysis are used. In this thesis, a matrix is called a magic square if the sum of its rows and columns are equal. Any array with the replication property is said to be a linear combination of blow-ups of certain magic squares of sizes 1 X 1, 3 X 3, and 12 X 12. The theorems and propositions stated in this thesis are results from the article given by Daniel Shapiro, A Replication Property for Magic Squares . The researchers give expanded proofs of each theorem since it was not explicitly elaborated on in the article. Mathematical definitions not included in the article are also provided with illustrations for better understanding.
Abstract Format
html
Language
English
Format
Accession Number
TU08290
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
81 leaves
Keywords
Matrices; Algebras, Linear; Magic squares; Numbers, Complex
Recommended Citation
Ang, A. G., & Martinez, G. C. (1997). Using matrices in studying the replication property for magic squares. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16430
