Linear Algebra: Volume 2
An Introduction with Concurrent Examples

A. G. Hamilton (Author)

9780521310420, Cambridge University Press

Paperback, published 15 February 1990

340 pages
22.9 x 15.2 x 1.9 cm, 0.5 kg

'The book is clearly directed at students who have had little or no experience of solving linear equations at school. Moreover, it is intended for people who do not find learning mathematics easy. There are no short cuts, or bribes in the form of interesting applications, but the student who is motivated to learn about systems of linear equations, and willing to work through the exercises, will have an excellent opportunity to acquire proficiency and understanding.' The Times Higher Education Supplement

This book is a readable introduction to linear algebra, starting at an elementary level. It is intended to be useful both for students of pure mathematics who may subsequently pursue more advanced study in this area and for students who require linear algebra and its applications in other subjects. Throughout, stress is placed on applications of the subject in preference to more theoretical aspects. The book has worked examples on every left-hand page concurrently with the text on the right-hand page, which allows the reader to follow the text uninterrupted. The book is intended to be worked through and learned from, and contains numerous exercises with solutions.

Preface
Part I: 1. Gaussian elimination
2. Solutions to simultaneous equations I
3. Matrices and algebraic vectors
4. Special matrices
5. Matrix inverses
6. Linear independence and rank
7. Determinants
8. Solutions to simultaneous equations II
9. Vectors in geometry
10. Straight lines and planes
11. Cross product
Part II: 12. Basic ideas
13. Subspaces of Rn
14. Spanning lists, bases, dimension
15. Rank
16. Linear transformations
17. Change of basis
18. Eigenvalues and eigenvectors
19. Diagonalisation I
20. The dot product
21. Orthogonality
22. Diagonalisation II
23. Geometry
24. Differential equations
Answers to exercises
Sample test paper for part I
Sample test paper for part II
Index.

Subject Areas: Algebra [PBF]