Eigenvalues and Eigenvectors

Overview

Finding Eigenvectors

Characteristic Polynomial

Using the Characteristic Polynomial to find Eigenvalues

Transformations without Eigenvectors

Visualizing Eigenvectors

Uniform Scaling

Stretch along an Axis

Reflection

Shear

Projection

Rotation

In your own words, state the single most important definition or theorem of this section, and explain what it says.