# Linear Algebra

• Klaus Jänich
Book

Part of the Undergraduate Texts in Mathematics book series (UTM)

1. Front Matter
Pages I-IX
2. Klaus Jänich
Pages 1-14
3. Klaus Jänich
Pages 15-42
4. Klaus Jänich
Pages 43-61
5. Klaus Jänich
Pages 62-84
6. Klaus Jänich
Pages 85-102
7. Klaus Jänich
Pages 103-119
8. Klaus Jänich
Pages 120-135
9. Klaus Jänich
Pages 136-150
10. Klaus Jänich
Pages 151-161
11. Klaus Jänich
Pages 162-170
12. Klaus Jänich
Pages 171-186
13. Klaus Jänich
Pages 187-199
14. Back Matter
Pages 200-205

### Introduction

The original version of this book, handed out to my students in weekly in­ stallments, had a certain rugged charm. Now that it is dressed up as a Springer UTM volume, I feel very much like Alfred Dolittle at Eliza's wedding. I hope the reader will still sense the presence of a young lecturer, enthusiastically urging his audience to enjoy linear algebra. The book is structured in various ways. For example, you will find a test in each chapter; you may consider the material up to the test as basic and the material following the test as supplemental. In principle, it should be possible to go from the test directly to the basic material of the next chapter. Since I had a mixed audience of mathematics and physics students, I tried to give each group some special attention, which in the book results in certain sections being marked· "for physicists" or "for mathematicians. " Another structural feature of the text is its division into laconic main text, put in boxes, and more talkative unboxed side text. If you follow just the main text, jumping from box to box, you will find that it makes coherent reading, a real "book within the book," presenting all that I want to teach.

### Keywords

Eigenvalue Eigenvector Matrix Rank–nullity theorem algebra linear algebra

#### Authors and affiliations

• Klaus Jänich
• 1
1. 1.NWF I—MathematikUniversität RegensburgRegensburgGermany

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-4298-7
• Copyright Information Springer-Verlag New York 1994
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-8729-2
• Online ISBN 978-1-4612-4298-7
• Series Print ISSN 0172-6056