Useful links:

Your course is based on Prof. Gil Strang's wonderful course at MIT. The current edition of 18.06 (MIT speak for linear algebra) lives here.

You are strongly encouraged to check out the demos on the 18.06 page. These cover everything from matrix multiplication to singular value decomposition.

You can also view a complete semester's worth of lectures given by Prof. Strang in 2005 through MIT's OpenCourseWare.

Also highly recommended: video of a Strang talk here on being a mathematician, and linear algebra versus calculus.