Here is a brief outline of the lectures for the fall 2010 semester. The section numbers refer to the book of Otto Bretscher, Linear algebra with applications. 1. Week: Systems of Linear Equations and Gauss-Jordan 1. Lecture: Introduction to linear systems, Section 1.1, September 8, 2010 A central point of this week is Gauss-Jordan elimination. While the precise procedure will be introduced in t...