3. Linear Algebra

Contents:

• 3.1. Introduction
  • 3.1.1. References
• 3.2. Hitch hiker’s guide
  • 3.2.1. Defining a vector space
• 3.3. Linear Equations
• 3.4. Vector Spaces
  • 3.4.1. Vector Spaces
  • 3.4.2. Subspaces
  • 3.4.3. Bases and dimensions
  • 3.4.4. Coordinates
  • 3.4.5. Summary of row-equivalence
  • 3.4.6. Computations concerning subspaces
• 3.5. Linear Transformations
• 3.6. Polynomials
• 3.7. Determinants
• 3.8. Elementary Canonical Forms
• 3.9. Rational Jordan Forms
• 3.10. Inner Product Spaces
• 3.11. Operators on Inner Product Spaces
• 3.12. Bilinear Forms
• 3.13. Explorations