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

Home page for project Linbox, a library for high-performance exact linear algebraic computations.

Abstract linear spaces Algebra index History Topics Index Cartesian geometry, introduced by Fermat and Descartes around 1636, had a very large influence on mathematics bringing algebraic methods into geometry. By the middle of the 19th Century however there was some dissatisfaction with these coordinate methods and people began to search for direct methods, i.e. methods of synthetic geometry ...

ABOUT: POINTERS: 15: Linear and multilinear algebra; matrix theory (finite and infinite) Introduction Linear algebra, sometimes disguised as matrix theory, considers sets and functions which preserve linear structure. In practice this includes a very wide portion of mathematics! Thus linear algebra includes axiomatic treatments, computational matters, algebraic structures, and even parts of ...

Lee Lady: Notes on Linear Algebra ...

Matrix multiplication: an interactive micro-course for beginners by Hans Lundmark Matrix multiplication is a very useful operation in mathematics, although the definition may seem a bit difficult and unnatural when first encountered. Here I won't go into why it is so useful. I will merely give a quick description of how to do it, illustrating with a few examples. This document is supposed to be ...