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A Simple Parameterization of 3 x 3 Magic Squares
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Trenkler, Gotz; Schmidt, Karsten; Trenkler, Dietrich – International Journal of Mathematical Education in Science and Technology, 2012
In this article a new parameterization of magic squares of order three is presented. This parameterization permits an easy computation of their inverses, eigenvalues, eigenvectors and adjoints. Some attention is paid to the Luoshu, one of the oldest magic squares.
Descriptors: Mathematics Activities, Mathematics Instruction, Mathematical Concepts, Problem Solving
Computing the Moore-Penrose Inverse of a Matrix with a Computer Algebra System
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Schmidt, Karsten – International Journal of Mathematical Education in Science and Technology, 2008
In this paper "Derive" functions are provided for the computation of the Moore-Penrose inverse of a matrix, as well as for solving systems of linear equations by means of the Moore-Penrose inverse. Making it possible to compute the Moore-Penrose inverse easily with one of the most commonly used Computer Algebra Systems--and to have the blueprint…
Descriptors: Programming Languages, Computer Uses in Education, Programming, Algebra