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Re:A First Course in Linear Algebra by cottonseed on Friday August 10, 2012 @12:47PM (#4366986)
MIT OCW has 18.06 Linear Algebra including lectures by Strang.
Re:A First Course in Linear Algebra by rrmm on Friday August 10, 2012 @02:44PM (#4367572)
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-...

I agree, it's very useful. He gives nice explanations of some of the decompositions and why they're useful.