Last semester I took a combined course of Diffy Q and Linear Algebra. I feel I know the basics of LA and want to explore things a bit further. After talking to some professors at my school they told me that the next linear algebra class is a graduate class.. After looking at the course notes for that grad class it's definitely out of my range because it's all proofs. They suggested to take real analysis and abstract algebra to prepare for that grad class. I know I won't be taking those classes, probably ever, and now I'm kinda disappointed that a class that sounds interesting is most likely out of reach. Does linear algebra usually have a big jump in class level similar to my school? Intro undergrad class then full blown grad class? I know the other classes (real analysis, abstract algebra) would develop math maturity but are they really necessary specifically for linear algebra? Is this a normal sequence? My options are: 1) self study like mad and develop proof skills on my own and convince an adviser to let me take the class 2) audit the class, which I don't know if I can do because it's a grad class or 3) do an independent study with a professor. Any help/guidance is appreciated.