Table of contents 1. Basic Definitions 2. Orthogonal Basis 3. Orthogonal Complement 4. Orthogonal Projection 5. Orthogonal Matrix 6. Symmetric Matrix 7. SVD 1. Basic Definitions 2. Orthogonal Basis 3. Orthogonal Complement 4. Orthogonal Projection 5. Orthogonal Matrix 6. Symmetric Matrix 7. SVD