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III. Linear Transformations

Linear maps, kernel and image, matrix representation, isomorphisms, projections, reflections, rotations, similarity, and invariant subspaces.

ChapterTitle
32Linear Transformations
33Kernel and Image
34Matrix Representation of Linear Maps
35Composition of Transformations
36Isomorphisms
37Automorphisms
38Projection Operators
39Reflection Operators
40Rotation Operators
41Shears and Scalings
42Similarity Transformations
43Invariant Subspaces
44Cyclic Subspaces