Linear Algebra

• Abstract Linear Spaces  - Article written by J.J. O'Connor and E.F. Robertson.
• Elementary Linear Algebra  - Lecture notes by Keith Matthews. Includes solutions to problems.
• Elements of Abstract and Linear Algebra  - Foundational textbook by Edwin H. Connell. Available for download in pdf, dvi, postscript, or gzipped postscript.
• Linear Algebra and Applications Textbook  - Topics include linear systems of equations, matrix algebra, vector spaces, geometrical aspects of standard spaces, the eigenvalue problem, and geometrical aspects of abstract spaces.
• Linear Algebra by Jim Hefferon  - Text available for free download in pdf or postscript. Source in LaTeX and MetaPost.
• Linear Algebra from Math World  - With links to various topics, including determinants, general linear algebra, linear independence, linear systems of equations, matrices, permanents and lie theory.
• Linear Algebra Toolkit  - With modules designed to help a linear algebra student learn and practice a basic linear algebra procedure, such as Gauss-Jordan reduction, calculating the determinant, or checking for linear independence.
• Linear and Multilinear Algebra; Matrix Theory (Finite and Infinite)  - Includes history, applications and related fields, subfields, textbooks and tutorials, software and tables, and links to related websites and topics.
• Lyryx Interactive Linear Algebra  - Self-contained introductory course in linear algebra and its applications, suitable for undergraduate university level.
• Matrix Multiplication  - Java-enabled interactive micro-course for beginners.
• Notes on Linear Algebra  - Files available in pdf or postscipt. Topics include inverse of a matrix, equivalents statements, equivalent characterizations of basic concepts, grammar lessons in algebra, pivotal role of zero, linear independence, and eigenvalues.
• Professor Strang's Linear Algebra Class Lecture Videos  - Videotaped Lectures from MIT's Course 18.06: Linear Algebra.
• Project Linbox: Exact Computational Linear Algebra  - C template library for exact, high-performance linear algebra computation with dense, sparse, and structured matrices over the integers and over finite fields.
• Topics in Linear Algebra  - Extends the existing one-way connections among the solving linear systems of equations, matrix inversion, and linear programming. With illustrative numerical examples.