In the first lecture of Week 11, we concluded work on Chapter 3, with a discussion about algebraic and geometric multiplicity of eigenvalues. Here is the recorded version of Lecture 20.

Slides for Lecture 20 (Wednesday March 23)

In Lecture 21, we looked at the definition of an inner product on a real vector space, and the concepts of distance, orthogonality and orthogonal projection that arise from an inner product.

Here is Lecture 21.

Slides for Lecture 21 (Friday March 25)