Matrices and Quadratic Forms
Published on 28. April 2000
Book
Paperback/Softback
192 pages
978-0-340-69138-0 (ISBN)
Description
An introduction to matrices and quadratic forms for second-year degree modules in linear algebra. Building on both skills and knowledge attained during A Level and earlier degree courses, it discusses topics such as the reduction of suitable matrices to diagonal matrices by means of non-singular or orthogonal matrices constructed with eigenvectors. Examples and exercises are used as teaching aids throughout and ideas for investigation and project work help to place the subject in context. The text seeks to enhance student motivation and learning by the inclusion of historical contexts, real life situations and the discussion of links with other areas of mathematics.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Dimensions
Height: 244 mm
Width: 172 mm
Weight
244 gr
ISBN-13
978-0-340-69138-0 (9780340691380)
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Schweitzer Classification
Content
Partitioned matrices; LU-decomposition; vector spaces; finite dimensional vector spaces; linear transformations; matrix representations of linear transformations; similar matrices; diagonalizable matrices; the Cayley-hamilton theorem; the minimum polynomial; Euclidean vector spaces; Gram-Schmidt process; quadratic forms; positive definite quadratic forms; further developments.