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Chapter 1. Basic Notions

1. Vector spaces
   #1.1, #1.2, #1.3, #1.4, #1.5, #1.6, #1.7, #1.8
2. Linear combinations, bases
   #2.1, #2.2, #2.3, #2.4, #2.5, #2.6
3. Linear Transformations. Matrix–vector multiplication
   #3.1, #3.2, #3.3, #3.4, #3.5, #3.6, #3.7
4. Linear transformations as a vector space
5. Composition of linear transformations and matrix multiplication
6. Invertible transformations and matrices. Isomorphisms
7. Subspaces
8. Application to computer graphics