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