Linear Algebra

Linear algebra in central to all mathematics. In mathematics, the objects one studies (functions, operations, transformation and so on) are usually either `linear' or can be usefully approximated by linear functions. The methods of linear algebra therefore can be applied to almost all areas of mathematics, and have a very large number of applications in all areas. This book provides a complete account of undergraduate linear algebra, aimed at the level of the second-year undergraduate. The approach is rigorous, but always illustrated with examples, and applications to other areas of mathematics and physics are emphasized.