I'm doing a course in Matrix analysis, and I'm supposed to prepare a presentation about any topic in Matrix theory. We already covered the book "Matrix Analysis" by Horn, so preferably I need a topic that extend the results in that book, or maybe something different.
I have an engineering background but I have interest in pure and applied math. My research focus is on control theory, dynamical systems and optimization. I studied real analysis and fundamentals of functional analysis and measure theory. I also took courses in probability theory, Fourier analysis. I have modest knowledge of abstract algebra (structures).
I'm looking for suggestion of topics that will relate the common domains of all these courses or perhaps give new insight.
The presentation will be 10 mins. I'm expected to spend one day studying that topic.