Kristian Larsen shows off some linear algebra concepts in R:

In this article, you learn how to do linear algebra in R. In particular, I will discuss how to create a matrix in R, Element-wise operations in R, Basic Matrix Operations in R, How to Combine Matrices in R, Creating Means and Sums in R and Advanced Matrix Operations in R.

The post is so chock-full of examples, the only block of multi-line text is the description.