In this program
- Singular values and low-rank intuition
- Thin SVD for data matrices (statement and use)
- Principal components as leading singular directions
- Compression
- Noise-reduction examples at an introductory level
SVD and PCA (intro)
Principal components as leading singular directions
Matrix algebra · Standard syllabus
Topic
Principal components as leading singular directions
Undergraduate Matrix Algebra — scope drawn from Boyd & Vandenberghe Introduction to Applied Linear Algebra, Hefferon Linear Algebra, and related OER (see docs/reference/matrix-linear-algebra-books.md).