Gram-Schmidt orthogonalization

The Gram-Schmidt process is used to find a set of orthogonal vectors from a general set of vectors.

Tutorial: Finding the greatest common divisor

One of the problems of the Malaysian education system (at least, implementation-wise) is teaching students to use algorithms without properly exploring the principle behind it, or how it "actually" works. I recall like yesterday how classmates in my pre-u classes complain about calculus being "magical". The general teaching pattern is "Just apply this series of steps mechanically, and the correct answer appears" - not a good way to foster independent thinking.

In this article we explore how to find the greatest common divisor, something that is taught in the Form One curriculum.