An introduction to Linear Algebra

Linear algebra is the language of chemometrics. One cannot expect to truly understand most chemometric techniques without a basic understanding of linear algebra. This article reviews the basics of linear algebra and provides the reader with the foundation required for understanding most chemometrics literature. It is presented in a rather dense fashion: no proofs are given and there is little discussion of the theoretical implications of the theorems and results presented. The goal has been to condense into as few pages as possible the aspects of linear algebra used in most chemometric methods. Readers who are somewhat familiar with linear algebra may find this article to be...