On multiplication theorems for magic squares

• Main Authors: Antonio, Rosemarie M., Caleon, Heidee D.J.
• Format: text
• Language: English
• Published: Animo Repository 1995
• Subjects: Magic squares; Mathematical recreations; Matrices; Number theory
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16240
• Institution: De La Salle University

In this paper, we present, prove, and illustrate a Composition Theorem for Magic Squares.Let M and N be magic squares of orders p and q, respectively. For k = 1,2..., q2, letMk = M + (k - 1) p2 Jpwhere Jp = p x p matrix of all 1's. Form the array Nm of order pq obtained by replacing each entry...