• Announcements: Please watch and work through the videos below for this week's lectures. Our next in-person lecture will be on Monday, November 7. Also, please remember that HW8 is due on Wednesday, November 2, and the next assignment HW9 will be posted then.

• Video 1: Recap on eigenvalues and eigenvectors Download file or watch below

• Video 2: Diagonalizing a matrix/linear transformation Download file or watch below

• Video 3: Example of nondiagonalizable matrix Download file or watch below

• Video 4: Ways in which a matrix can fail to be diagonalizable Download file or watch below

• Video 5: Some reasons to want to diagonalize matrix Download file or watch below

• Video 6: Relating diagonalization and change of basis Download file or watch below

To complement today's lecture, I also suggest watching the following nice videos from 3Blue1Brown that cover some of the topics we discussed in earlier lectures which play a very important role in the new material above: