Learn how eigenvalues determine phase portraits in Differential Equations. This Woody Calculus lesson explains stable nodes, unstable nodes, saddle points, spiral sinks, spiral sources, centers, repeated eigenvalues, eigenvectors, and stability.
Eigenvalues and eigenvectors reveal the special directions that unlock Linear Algebra and Differential Equations. In this Woody Calculus visual lesson, learn how Av = λv explains matrix transformations, scaling, diagonalization, matrix powers, solution modes, stability, phase portraits, and why eigenvalues predict long-term behavior in systems before you even solve them.