Overview
Linear functions
Linear algebra review
Orthonormal sets of vectors and QR factorization
Least-squares
Least-squares applications
Regularized least-squares and Gauss-Newton method
Least-norm solutions of underdetermined equations
Autonomous linear dynamical systems
Solution via Laplace transform and matrix exponential
Eigenvectors and diagonalization
Jordan canonical form
Linear dynamical systems with inputs and outputs
Example: Aircraft dynamics
Symmetric matrices, quadratic forms, matrix norm, and SVD
SVD applications
Example: Quantum mechanics
Controllability and state transfer
Observability and state estimation
Summary and final comments
All lectures, in 2up format, in one pdf file
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