Matrices fill textbooks of information, there is allot to discover about them. They have become very powerful especially with the advent of computers. You can see them used in places such as how Google databases sites and how they link together, they are also used by engineers to solve systems of equations or used with calculus. If you are interested a book could be suggested to you that you could check out from the public or a University library that you could work through and then when you have a question or want to just talk about linear algebra I am such many of us would enjoy the talk.
You may also enjoy this link as Professor Strang at MIT had his 1999 linear algebra lectures records and they are free to view and download just click videos or scroll down: http://web.mit.edu/18.06/www/
