Vectors, matrices and geometry

Companion volume to Fundamental concepts of mathematics and Polynomials and equationsIncludes indexThis book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each sectionpublished_or_final_versionCh. 7.Linear equationsCh. 6.Matrix and determinantCh. 5.Higher dimensional vector spacesCh. 4.Quadric surfacesCh. 3.Conic sectionsCh. 2.Vectors and geometry in spaceIndexNumerical answers to exercisesCh. 1.Vectors and geometry in the planePrefac