Linear Systems - Fall 2023

Graduate course, Carnegie Mellon University, Electrical and Computer Engineering Department, 2023

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