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.
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The arithmetic of matrices
Multiplicative inverses of matrices
Real vector spaces
Subspaces and linear combinations
Linear dependence and independence
Linear transformations and matrices
Eigenvalues and Eigenvectors