Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n.

Resumen:
This article presents nine different methods of orthogonal projection onto a hyperspace defined by points. These methods have been implemented in MATLAB language. Comparisons have been made of numerical precision and cpu times, taking one of them as a reference. It has placed special emphasis on an inversion's method with comments to its potential and some demonstrations that justify the intermediate steps used.