Math 308: Autumn 2019 Course Notes Robert Won These are course notes from a linear algebra course at the University of Washington taught during Autumn 2019. The textbook was Linear Algebra with Applications by Jeffrey Holt, but many other sources contributed to these notes. Jake Levinson provided me with his handwritten notes from when he taught 308 at UW. Jeremy Rouse and Jason Gaddis both gave me TeXed notes from their linear algebra courses at Wake Forest (which used the textbook by Lay). I thank Jake, Jeremy, and Jason for generously sharing their materials. I also thank Liz Wicks for contributing the images of graphs, which she made when she used these notes for her 308 class. 1. Wednesday 9/25: Systems of Linear Equations (1.1) Introduction and Syllabus • On board: MATH 308, Robert Won,
[email protected], PDL C-418, Office hours: M 1:30{ 2:30, W 2:30{3:30pm. • Q: What is linear algebra? If you've taken any math before, you've probably thought a good bit about one-dimensional space and two-dimensional space. If you're one of the many students who has taken multi- variable calculus, then you've probably thought a good bit about 3-dimensional space. In linear algebra, we will study n-dimensional space, but we will only worry about “flat” things. This theory is still extremely useful, because even if things aren't flat, if we look at them closely enough, they can look flat. (This is the essential idea in calculus.) The main focus of the class will be getting a coherent and somewhat abstract theory of systems of linear equations.