Linear Systems - Fall 2022
Graduate course, Carnegie Mellon University, Electrical and Computer Engineering Department, 2022
I was a teaching assistant for the graduate level course Linear Systems. My duties included holding recitations, grading and holding office hours.
Content
- Algebraic structures: groups, rings, fields
- Vector spaces: subspaces, linear independence, linear transformations, matrix representation
- Normed vector spaces: norms, Banach spaces, inner products, Hilbert spaces, orthogonality
- Matrices: matrix analysis, diagonalizability, SVD, Jordan form, matrix functions
- Control theory: controlability, reachability, observability, stabilizability, detectability