Lecture 1

0.1 Contents

  1. Complex Numbers
  2. Vectors in 3d
  3. Vectors in General, \(\mathbb{R}^n \times \mathbb{C}^n\)
  4. Matrices and Linear Maps
  5. Determinants and Inverses
  6. Eigenvalues and Eigenvectors
  7. Changing Bases, Canonical Forms and Symmetries