Matrices and quadratic forms (modular mathematics series)

As a basis of equation and problem-solving, linear algebra is the most widely taught sub-division of pure mathematics. Building on both skills and knowledge attained during A-level and earlier degree modules in linear algebra, Matrices and Quadratic Forms provides a lively and accessible introduction to matrices and quadratic forms. Examples and exercises are used as teaching aids throughout and ideas for investigation and project work help to place the subject in context. Student motivation and learning is encouraged by the inclusion of historical contexts, real-life situations and the discussion of links with other areas of mathematics. Providing a concise and thorough introduction to matrices and quadratic forms, this is an essential purchase for all students of mathematics.

Questions about matrices and quadratic forms * Partitioned matrices * Vector spaces * Linear transformations * The matrix representation of linear transformations * Similar matrices * Diagonalisable matrices * The Cayley-Hamilton theorem * The minimum polynomial * Euclidean vector spaces *Orthogonal matrices * Quadratic forms * Positive definite quadratic forms * Further developments.