EE263: Lecture Slides

Autumn Quarter 2014
  1. Overview

  2. Linear functions

  3. Linear algebra review

  4. Orthonormal sets of vectors and QR factorization

  5. Least-squares

  6. Least-squares applications

  7. Regularized least-squares and Gauss-Newton method

  8. Least-norm solutions of underdetermined equations

  9. Autonomous linear dynamical systems

  10. Solution via Laplace transform and matrix exponential

  11. Eigenvectors and diagonalization

  12. Jordan canonical form

  13. Linear dynamical systems with inputs and outputs

  14. Example: Aircraft dynamics

  15. Symmetric matrices, quadratic forms, matrix norm, and SVD

  16. SVD applications

  17. Example: Quantum mechanics

  18. Controllability and state transfer

  19. Observability and state estimation

  20. Summary and final comments