A First Course in Linear Algebra: With Concurrent Examples

Description

This is a short, readable introduction to basic linear algebra, as usually encountered in a first course. The development of the subject is integrated with a large number of worked examples that illustrate the ideas and methods. The format of the book, with text and relevant examples on facing pages means that the reader can follow the text uninterrupted. The student should be able to work through the book and learn from it sequentially. Stress is placed on applications of the methods rather than on developing a logical system of theorems. Numerous exercises are provided. Copyright......Page 5 Contents......Page 6 Preface......Page 8 1 Gaussian elimination......Page 10 2 Solutions to simultaneous equations 1......Page 20 3 Matrices and algebraic vectors......Page 32 4 Special matrices......Page 42 5 Matrix inverses......Page 54 6 Linear independence and rank......Page 64 7 Determinants......Page 74 8 Solutions to simultaneous equations 2......Page 90 9 Vectors in geometry......Page 96 10 Straight lines and planes......Page 114 11 Cross product......Page 132 Chapter 2......Page 143 Chapter 4......Page 144 Chapter 8......Page 146 Chapter 10......Page 147 Chapter 11......Page 148 Paper 1......Page 149 Paper 2......Page 151 Paper 3......Page 153 Further reasing......Page 155 Index......Page 156