Notes on the Generalized Magic Squares of order 4x4
DOI:
https://doi.org/10.22481/intermaths.v5i2.15436Keywords:
Magic constant, Even-order magic squares, Matrix, Linear Algebra, Complex solutionsAbstract
Problems involving even-order magic squares have challenged mathematical logic for centuries, and some problems still remain open. In this article, generalized magic squares of order 4x4 will be the object of study. Considering that the sum of the elements of any row, column or diagonal of the square must be equal, we will present in detail how to obtain all 24 possible equations relating such elements to each other. To obtain the solutions of the magic square, we will use basic tools from Linear Algebra. Not only solutions involving natural numbers will be considered, but also all real and complex solutions.
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