Linear algebra. (Q2728731)

This textbook is written on the basis of a basic course in linear algebra given by the author for the first-year undergraduate students of the Economy Department of the Novosibirsk State University and on the basis of several special courses given by him at the same department. This is the reason why the book contains both the standard topics in linear algebra for undergraduate students (Chapters 1-10) and some more advanced topics which are supposed to be useful for students interested in mathematical economy (Chapters 11-14).NEWLINENEWLINENEWLINEOne can get a more precise impression about this book from the following list of Chapters where pagination is given in brackets: 1. Complex numbers and polynomials (7). 2. Vector spaces (28). 3. Matrices and linear operators (62). 4. Systems of linear equations (94). 5. Determinants (124). 6. Invariant subspaces (148). 7. Euclidean spaces (159). 8. Linear transformations of Euclidean spaces (181). 9. Affine spaces (203). 10. Second-order surfaces (216). 11. Convex sets (239). 12. Systems of linear inequalities (249). 13. Polyhedral sets (264). 14. Nonnegative matrices (288).NEWLINENEWLINENEWLINEThe textbook is written in a clear manner, contains no exercises but contains many examples which illustrate algorithms to be used by students during seminars.