Linear Algebra · Linear algebra
Eigenvectors & Eigenvalues
Vectors a transformation only stretches: Av = λv, the characteristic equation det(A − λI) = 0, a full 2×2 worked example, diagonalization and powers, and uses from PageRank to PCA and stability.
Step 1 of 5 · Overview30 min read ·
Key idea
Prereqs: Matrices as transformations; Determinants. Next: Dot products & projections; PCA. Sources: 3Blue1Brown, *Essence of Linear Algebra* ch. 14; Strang, MIT 18.06 Lecture 21.Next: 1. Definition