EE263: Lecture Slides

1. Overview (quiz)

2. Linear functions (quiz)

3. Linear algebra review (quiz)

4. Orthonormal sets of vectors and QR factorization (quiz)

5. Least-squares (quiz)

6. Least-squares applications (quiz)

7. Regularized least-squares and Gauss-Newton method (quiz)

8. Least-norm solutions of underdetermined equations (quiz)

9. Autonomous linear dynamical systems (quiz)

10. Solution via Laplace transform and matrix exponential (quiz)

11. Eigenvectors and diagonalization (quiz)

12. Jordan canonical form (quiz)

13. Linear dynamical systems with inputs and outputs (quiz)

14. Example: Aircraft dynamics

15. Symmetric matrices, quadratic forms, matrix norm, and SVD (quiz)

16. SVD applications

17. Example: Quantum mechanics

18. Controllability and state transfer

19. Observability and state estimation

20. Summary and final comments

All lectures, in 2up format, in one pdf file