Week 3 - Section 5.1 and Section 5.2 - June 7 - June 11

Textbook Readings	Video	Lecture Notes
Section 5.1 Eigenvectors and Eigenvalues (pp. 268 - 276)	Section 5.1 Video	Section 5.1 Lecture notes
Section 5.2 The Characteristic Equation (pp. 276 - 283)	Section 5.2 Video	Section 5.2 Lecture notes

Section 5.1 Eigenvectors and Eigenvalues	Section 5.2 The Characteristic Equation
Definition of eigenvalues and eigenvectors. Given an eigenvalue compute basis for corresponding eigenspace. Given eigenvalues of A, compute eigenvalues of An Eigenvalues of triangular matrices are discussed. Linear independence of eigenvectors for distinct eigenvalues is defined.	Definition of characteristic equation and computing zeros of polynomials. Compute eigenvalues using characteristic equation. Invertible Matrix Theorem relationship with eigenvalues. Definition of algebraic and geometric multiplicity. Geometric multiplicity not on slides, but in video. Definition of similar matrices, important concept for the next section 5.3.
Download section 5.1 lecture notes and watch the video. Practice the textbook problems (Not Graded) 1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38 Worksheet for Section 5.1. Use the Assignments tool within Brightspace. Due: 11:55pm June 10 Use the Discussion tool within Brightspace to ask questions. Resources Compute Eigenvalues	Download section 5.2 lecture notes and watch video. Practice the textbook problems (Not Graded) 1, 3, 7, 9, 10, 15, 18, 23 Worksheet for Section 5.2. Use the Assignments tool within Brightspace. Due: 11:55pm June 10 Use the Discussion tool within Brightspace to ask questions. Resources Ex5.2 - 1 and Ex5.2 - 1 Answer Eig - Relates - Poly
WeBWorK for Sections 5.1 and 5.2 Due: 11:55pm June 11