As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics. Dr Allenby has used his experience of teaching linear algebra to write a lively book on the subject that includes historical information about the founders of the subject as well as giving a basic introduction to the mathematics undergraduate. The whole text has been written in a connected way with ideas introduced as they occur naturally. As with the other books in the series, there are many worked examples.

Solutions to the exercises are available online:
* The full set of solutions for lecturers only is available for download on a password protected website at http://textbooks.elsevier.com/
* readers are freely accessible at http://books.elsevier.com/companions/0340610441.

1.systems of simultaneous linear equations
2.matrices
3.the arithmetic of matrices
4.multiplicative inverses of matrices
5.determinants
6.real vector spaces
7.subspaces and linear combinations
8.linear dependence and independence
9.bases and dimention
10.linear transformations
11.eigenvalus and eigenvectors

Senior Lecturer, School of Mathematics, University of Leeds, UK

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