# Interesting project topics in linear algebra

I am an undergraduate student. I am planning to do some project work on linear algebra. Until now i have studied transformations,elementary canonical forms ,rational and jordan canonical forms and their applications,inner product spaces and little bit of spectral theory. Please suggest me some topics which has some link with the above mentioned topics on which i can do my project work.

3) More down-to-earth, linear algebra has important applications in statistics (linear regression on a cloud of points) and in data analysis problems such as how to find an interpolating polynomial function on $n$ given points in $\mathbb{R}^2$.