The book I published, "Applying Multivariate Methods using Excel", contains a reasonably comprehensive yet concise series of chapters on linear algebra. I included these chapters because, without at least a basic understanding of linear algebra, it would be difficult to fully grasp the foundations of multivariate analysis and machine learning.
Later, however, I reconsidered and decided to simplify the linear algebra material even further and make it more accessible. This web page is the result of that effort. The distinctive feature of this tutorial is that it avoids formal proofs and theorems; instead, all concepts and operations are demonstrated and explained directly through Excel.
The Excel spreadsheets containing the detailed workings for every example in this tutorial are available in this folder, while the PDF version of the tutorial can be downloaded and viewed from here.