This week we will start a brief review of numerical linear algebra, very briefly covering the material in Monahan's Chapters 3-6. You should start to read these chapters now and continue next week. The objective is not to understand every detail, but to get a general sense of the issues and the methods available.
As you read, explore which methods are available in R and how they can be used. Some functions to examine are lm.fit, solve, and qr.