Prof. Gilbert Strang
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This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.
OCW has published multiple versions of this subject.
Strang, Gilbert. 18.06SC Linear Algebra, Fall 2011. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011 (Accessed). License: Creative Commons BY-NC-SA