From the History of Mathematics project.

Online Lecture Notes (PostScript) by Keith Matthews, 1991.

An online textbook on abstract algebra with emphasis on linear algebra.

A historical paper on the elaboration of the discipline's foundations in the middle of the 19th century.

Exact linear algebra computation tools and downloads.

Gives a definition of the topic and motivation. Sections cover vector spaces, linear transformations, matrix calculus, eigenspaces, diagonalisation, square matrix composition, and quadratic forms.

Online text, each page is a GIF format image.

Offers elementary definitions in general linear algebra, matrices and determinants.

Includes definitions and examples of all basic concepts.

By Jim Hefferon. Free download in PDF and TeX source code. Covers the material of an undergraduate first linear algebra course.

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.

Includes information on subscription, paper submission, and table of contents.

An informative description of the subject of linear algebra and all of its subfields from the Mathematical Atlas.

Contains narrated and animated lessons, interactive exploration and computational tools, and an assessment system providing feedback to guide student learning.

An interactive micro-course for beginners, by Hans Lundmark. (Uses JavaScript.)

By Lee Lady: available in PDF, PS or DVI.

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.

An approach unifying the notions of system of equations, matrix inversion, and linear programming.