Linear algebra and geometry

Title Preface Contents 1. Vectors in the plane and in space 2. Subset, product set, relation and mapping 3. The n-dimensional vector space V^n 4. The parametric representation of a line 5. Some fundamental theorems 6. First degree functions on, and linear varieties in A^n 7. Linear functions and lines in A^2 and A^n. Applications 8. A finite affine plane 9. Homomorphisms of vector spaces 10. Matrices 11. Sets of linear equations 12. Functions of several variables. Determinant 13. Applications of determinants. Volume 14. Quadratic and symmetric bilinear functions 15. Euclidean space 16. Some applications in statistics 17. Classification of endomorphisms 18. Quadratic functions on and quadratic varieties in Euclidean spaces 19. Motions and affinities 20. Projective geometry 21. Non-Euclidean planes 22. Some topological remarks Hints and answers to the problems in Chapters 3-21 Index List of symbols