Prof. Gilbert Strang
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
OCW has published multiple versions of this subject.
Strang, Gilbert. 18.06 Linear Algebra, Spring 2010. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010 (Accessed). License: Creative Commons BY-NC-SA