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