## Algebra Through Practice: Volume 4, Linear Algebra: A Collection of Problems in Algebra with SolutionsProblem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each volume is divided into sections that begin with some notes on notation and prerequisites. The majority of the material is aimed at the students of average ability but some sections contain more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other problems. Books later in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained. |

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### Contents

Duality and normal transformations | 18 |

Solutions to Chapter 1 | 35 |

Solutions to Chapter 2 | 67 |

Test paper 1 | 96 |

### Common terms and phrases

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