Abstract
Magic squares have long been popular in recreational mathematics. Their potential for introducing students to ideas in linear algebra was recognised over forty years ago in [1] and later in [2]. More recently they have proved to be a fascinating topic for undergraduate exploration, especially when students have access to a computer algebra package [3]. Some results on powers of magic square matrices can be found in [4], [5] and [6]. (Readers who google the title ‘Odd magic powers’ of Thompson’s paper [5] will be treated to a wide variety of non-mathematical exotica!)
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. 14. F. W. Johnson , Latin square determinants, Algebraic, extremal and metric combinatorics, LMS Lecture Notes Series 131, Cambridge University Press (1988) pp. 146-154.
2. 90.73 Powers of Latin squares
3. New light on Frobenius' creation of the theory of group characters
4. 3. D. C. Pountney , Magic squares and DERIVE, Fourth International Derive TI-89/92 Conference, Liverpool John Moores University, July 12-15, 2000, accessible at http://rfdz.ph-noe.ac.at/fileadmin/Mathematik_Uploads/ACDCA/Liverpool2000/pdf/Papers/Pountney.pdf
5. 88.19 Latin squares and their inverses