Basic Linear Algebra

• 1. The Algebra of Matrices.- 2. Some Applications of Matrices.- 3. Systems of Linear Equations.- 4. Invertible Matrices.- 5. Vector Spaces.- 6. Linear Mappings.- 7. The Matrix Connection.- 8. Determinants.- 9. Eigenvalues and Eigenvectors.- 10. The Minimum Polynomial.- 11. Computer Assistance.- 12. Solutions to the Exercises.

From the reviews: "It embodies a beautiful, concise and precise treatment of the subject, with succint numerical and algebra worked examples at the right points... an excellent textbook which is also eminently suitable for self-study..." Zentralblatt MATH "This is the second edition of a text for first-year students which covers the main themes of linear algebra in a succinct and readable way. ... The book is well-written, with a very high standard of proof-reading, and there are full answers to all the exercises ... . It should be welcomed as an excellent introductory textbook which could be used either for self-study and to complement a course of lectures." (Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003)