Linear Algebra Textbook - By Jim Hefferon. Free download in PDF and TeX source code. Covers the material of an undergraduate first linear algebra course.
Linear Algebra Toolkit - Step by step solutions of problems such as Gauss-Jordan reduction, calculating the determinant, and finding a basis of a space spanned by given vectors.
Lyryx Interactive Linear Algebra - Contains narrated and animated lessons, interactive exploration and computational tools, and an assessment system providing feedback to guide student learning.
Matrix Multiplication - An interactive micro-course for beginners, by Hans Lundmark. (Uses JavaScript.)
Professor Strang's Linear Algebra Class - Offers online video lectures for MIT's Linear Algebra course. Topics include geometric properties, using matrices, permutations, pivot variables, subspaces, Cramer's Rule, and Eigenvalues.
Topics in Linear Algebra - An approach unifying the notions of system of equations, matrix inversion, and linear programming.