Linear Algebra


  • Reg Allenby, School of Mathematics, University of Leeds, UK

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* readers are freely accessible at
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First year mathematics undergraduates and other students taking a first course in linear algebra (taught widely to engineers).


Book information

  • Published: January 1995
  • ISBN: 978-0-340-61044-2

Table of Contents

Systems of simultaneous linear equations * Matrices * The arithmetic of matrices * Multiplicative inverses of matrices * Determinants * Real vector spaces * Subspaces and linear combinations * Linear dependence and independence * Bases * Linear transformations * Linear transformations and matrices * Eigenvalues and Eigenvectors * Appendix * Index.