Chapter 1 - Basic Notions

Section 1 - Vector spaces Section 2 - Linear combinations, bases Section 3 - Linear transformations. Matrix-vector multiplication Section 4 - Linear transformations as a vector space Section 5 - Composition of linear transformations and matrix multiplication Section 6 - Invertible transformations and matrices. Isomorphisms Section 7 - Subspaces Section 8 - Application to computer graphics