Linear Algebra: Concepts and Methods

This thorough, yet concise, treatment of all the key topics also gives students a sound understanding of the underlying theory.

Martin Anthony (Author), Michele Harvey (Author)

9780521279482, Cambridge University Press

Paperback, published 10 May 2012

527 pages, 20 b/w illus. 150 exercises
24.5 x 17.4 x 3 cm, 1.03 kg

'The book is written with clear and simple language, accessible for beginners, its contents is well balanced. It is a reader-friendly, fairly interactive and helpful text … Undoubtedly, this is a fine textbook for the beginners including students in economics, management, finance and social sciences including the ones studying at distance.' Peter Zabreiko, Zentralblatt MATH

Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn and comprehend the standard methods, with an emphasis on understanding how they actually work. At every stage, the authors are careful to ensure that the discussion is no more complicated or abstract than it needs to be, and focuses on the fundamental topics. The book is ideal as a course text or for self-study. Instructors can draw on the many examples and exercises to supplement their own assignments. End-of-chapter sections summarise the material to help students consolidate their learning as they progress through the book.

Preface
Preliminaries: before we begin
1. Matrices and vectors
2. Systems of linear equations
3. Matrix inversion and determinants
4. Rank, range and linear equations
5. Vector spaces
6. Linear independence, bases and dimension
7. Linear transformations and change of basis
8. Diagonalisation
9. Applications of diagonalisation
10. Inner products and orthogonality
11. Orthogonal diagonalisation and its applications
12. Direct sums and projections
13. Complex matrices and vector spaces
14. Comments on exercises
Index.

Subject Areas: Algebra [PBF]