### Chapter 1. Basic Notions

- Vector spaces

#1.1, #1.2, #1.3, #1.4, #1.5, #1.6, #1.7, #1.8 - Linear combinations, bases

#2.1, #2.2, #2.3, #2.4, #2.5, #2.6 - Linear Transformations. Matrix–vector multiplication

#3.1, #3.2, #3.3, #3.4, #3.5, #3.6, #3.7 - Linear transformations as a vector space
- Composition of linear transformations and matrix multiplication
- Invertible transformations and matrices. Isomorphisms
- Subspaces
- Application to computer graphics