Elements of Abstract and Linear Algebra Foundational textbook on abstract algebra with emphasis on linear algebra by Edwin H. Connell. Whole book or chapters in DVI, PostScript, and PDF.
Linalg.org Exact linear algebra computation tools and downloads.
Linear Algebra "Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
Linear Algebra - Preliminary lectures Gives a definition of the topic and motivation. Sections cover vector spaces, linear transformations, matrix calculus, eigenspaces, diagonalisation, square matrix composition, and quadratic forms.
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.
