1.2.11. Week 11 - 11/3 - EXAM 2

Complete the exam before looking at the new material presented this week.

Exam 2: Chapter 5 to Chapter 7

Reading:

• 8.5. Diagonalization and Powers of A

• 8.6. Change of Basis and Difference Equations

• 8.7. Systems of Linear ODEs

Video Lectures:

• Sections 8.5 - Diagonalization and Powers of A (13:10)

• Section 8.6 - Change of Basis (14:15)

• Section 8.6.1 - Difference Equations (2:58)

• Fibonacci Sequence as a difference equation (10:19)

• Section 8.6.3 - Application: Markov Matrices (15:34)

• Section 8.7 - Systems of Linear ODEs (29:33)

Annotated notes:

• Introduction to Eigenvectors and Eigenvalue - notes/Eigen-Intro.pdf

• Finding Eigenvalues and Eigenvectors - notes/FindEigen.pdf

• Finding Eigenvalues (in class) - notes/Find_Eigenvalues.pdf

Assignments:

• Eigenvalue / Eigenvector Homework, Hints for Eigenvalue / Eigenvector Homework Assignment

• Attendance Quizzes: AQ08_1, AQ08_3, Week 11 Attendance Quiz Hints