I am a graduate student. I am planning to do one year project work on linear algebra using Mathematica. Until now i have studied transformations, elementary canonical forms ,rational and jordan canonical forms and their applications,inner product spaces, functional analysis and little bit of spectral theory. Please suggest me some linear algebra project topics which can be implemented in Mathematica. Pardon me if this question is too broad to answer but I really need some help to decide the project.
Thanks.