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Linear Algebra is intended primarily as an undergraduate textbook but is written in such a way that it can also be a valuable resource for independent learning. The narrative of the book takes a matrix approach: the exposition is intertwined with matrices either as the main subject or as tools to explore the theory. Each chapter contains a description of its aims, a summary at the end of the chapter, exercises, and solutions. The reader is carefully guided through the theory and techniques presented which are outlined throughout in ‘How to…’ text boxes. Common mis-takes and pitfalls are also pointed out as one goes along. Features: • Written to be essentially self-contained • Ideal as a primary textbook for an undergraduate course in linear algebra • Applications of the general theory which are of interest to disciplines outside of mathematics, such as engineering