6. Eigenvalues and Eigenvectors

In this chapter, eigenvalues and eigenvectors are introduced. We see how these concepts allow us to choose an optimally convenient basis for a given transformation.

• 6.1. Definitions and Examples
• 6.2. The Characteristic Polynomial
• 6.3. Diagonalizability
• 6.4. Complex Eigenvalues (and Eigenvectors)