The following lecture notes, homeworks and solutions were developed by Dr. N.B. Jacobsen for a course on Linear Systems Theory taught at Columbia University, Dept. of Electrical Engineering, Sping 2012. The primary textbook for the course was "Linear Systems" by Prof. T. Kailath, Stanford University. Secondary reference text: "The Theory of Matrices" Vol. 1 and 2, F.R. Gantmacher.

Unpublished (handwritten) lecture notes on linear systems:

Matrix Algebras, Basic Properties of Matrices, Determinants

notes1.pdf

Adjoint Matrix, Matrix Inverse, Cramer's Rule, Characteristic Polynomial

notes2.pdf

Matrix Minors, BinetCauchy Formula, Polynomial Matrices, Invariant Polynomials, Diagonal Form

notes3.pdf

Minimal Polynomial, Jordan Form, CayleyHamilton Theorem

notes4.pdf

Review of Linear Time Invariant Systems, Laplace Transform, Dirac Delta Function

notes5.pdf


Homeworks and their solutions (no peaking at the solutions before you try the exercises☺):


