III. Linear Transformations
Linear maps, kernel and image, matrix representation, isomorphisms, projections, reflections, rotations, similarity, and invariant subspaces.
| Chapter | Title |
|---|---|
| 32 | Linear Transformations |
| 33 | Kernel and Image |
| 34 | Matrix Representation of Linear Maps |
| 35 | Composition of Transformations |
| 36 | Isomorphisms |
| 37 | Automorphisms |
| 38 | Projection Operators |
| 39 | Reflection Operators |
| 40 | Rotation Operators |
| 41 | Shears and Scalings |
| 42 | Similarity Transformations |
| 43 | Invariant Subspaces |
| 44 | Cyclic Subspaces |