Eigenvalue Eigenvector
Domain: Math & Logic for AI
🎯 Motivation
Special vectors that only stretch or shrink under a transformation (eigenvectors), by a factor (eigenvalues).
📋 Concrete Example
PCA finds eigenvectors of the covariance matrix. The largest eigenvalues mark the most important directions.
🔗 Analogy
Like finding the natural grain of a piece of wood - along the grain (eigenvector) it stretches evenly, by the eigenvalue amount.