IV. Inner Product Spaces
Inner products, norms, orthogonality, Gram-Schmidt, orthogonal projections, least squares, QR factorization, Hermitian spaces, and quadratic forms.
| Chapter | Title |
|---|---|
| 45 | Inner Products |
| 46 | Norms and Metrics |
| 47 | Orthogonality |
| 48 | Orthogonal Complements |
| 49 | Orthonormal Bases |
| 50 | Gram-Schmidt Orthogonalization |
| 51 | Orthogonal Projections |
| 52 | Least Squares Problems |
| 53 | QR Factorization |
| 54 | Unitary and Orthogonal Matrices |
| 55 | Hermitian Spaces |
| 56 | Positive Definite Matrices |
| 57 | Quadratic Forms |
| 58 | Sylvester's Law of Inertia |