Lecture Notes for Linear AlgebraΒ provides instructors with a detailed lecture-by-lecture outline for a basic linear algebra course. The ideas and examples presented in this e-book are based on Strangβs video lectures for Mathematics 18.06 and 18.065, available onΒ MITβs OpenCourseWareΒ (ocw.mit.edu) andΒ YouTubeΒ (youtube.com/mitocw). Readers will quickly gain a picture of the whole courseβthe structure of the subject,Β the key topics in a natural order, and the connecting ideas that make linear algebra so beautiful.