These are lecture notes for an introductory linear algebra class (Math 4242 at the University of Minneapolis, Fall 2016). They are far from finished (at the moment, not even Gaussian elimination is in!), but eventually should cover basics (classes of matrices, row echelon form, vector spaces, linear maps, quadratic forms?) and possibly include tutorials on matrix computations inside SageMath. They, however, already go beyond the class in some aspects (the sections marked with an asterisk in their title are non-class material).
Up-to-date PDF files can be downloaded from the class website:
-- Darij Grinberg (firstnamelastname@gmail.com)