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Direct linkGuyker, James – International Journal of Mathematical Education in Science and Technology, 2007
Characteristic polynomials are used to determine when magic squares have magic inverses. A resulting method constructs arbitrary examples of such squares.
Descriptors: Mathematics Activities, Mathematical Concepts, Validity, Mathematical Logic
Tikoo, Mohan – International Journal of Mathematical Education in Science and Technology, 2002
Several authors have found many Pythagorean triple preserving matrices in recent years. The purpose of this note is to show that all these matrices, and in particular the results published in Deshpande's 2001 paper are special cases of the earlier results obtained by Palmer, Ahuja and Tikoo.
Descriptors: Correlation, Matrices, Mathematics Education, Validity
Hou, Shui-Hung; Hou, Edwin; Pang, Wan-Kai – International Journal of Mathematical Education in Science & Technology, 2006
A novel and simple formula for computing the matrix exponential function is presented. Specifically, it can be used to derive explicit formulas for the matrix exponential of a general matrix A satisfying p(A) = 0 for a polynomial p(s). It is ready for use in a classroom and suitable for both hand as well as symbolic computation.
Descriptors: Mathematical Formulas, Symbols (Mathematics), Equations (Mathematics), Computation
