A First Course in Linear Algebra: With Concurrent Examples

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CUP Archive, Sep 3, 1987 - Mathematics - 148 pages
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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.
 

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Contents

Solutions to simultaneous equations 1
15
Matrices and algebraic vectors
23
Special matrices
33
Matrix inverses
45
Linear independence and rank
55
Determinants
65
Solutions to simultaneous equations 2
77
Vectors in geometry
87
Straight lines and planes
105
Cross product
123
Answers to exercises
134
Sample test papers
140
Further reading
146
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