Thanks Catalin Tiseanu for suggesting it.

If you want to get a bit deeper, Gilbert Strang has great Linear Algebra course taught MIT is on youtube. He explains things very clearly and with a lot of simple example. I highly recommend his course as well
'Gilbert Strang MIT Linear Algebra Video Lectures':https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/
You may want to play it at 1.5 or 2x speed though :).
 

There are lots of applications of linear algebra:
- Pagerank, the algorithm behind Google's success is based on eigen values and eigen vectors
- The winning entry in the Netflix Prize was based on Singular Value Decomposition