# Matrix Theory

## A Second Course

• James M. Ortega
Book

Part of the The University Series in Mathematics book series (USMA)

1. Front Matter
Pages i-xii
2. James M. Ortega
Pages 1-41
3. James M. Ortega
Pages 43-104
4. James M. Ortega
Pages 105-141
5. James M. Ortega
Pages 143-173
6. James M. Ortega
Pages 175-213
7. James M. Ortega
Pages 215-256
8. Back Matter
Pages 257-262

### Introduction

Linear algebra and matrix theory are essentially synonymous terms for an area of mathematics that has become one of the most useful and pervasive tools in a wide range of disciplines. It is also a subject of great mathematical beauty. In consequence of both of these facts, linear algebra has increasingly been brought into lower levels of the curriculum, either in conjunction with the calculus or separate from it but at the same level. A large and still growing number of textbooks has been written to satisfy this need, aimed at students at the junior, sophomore, or even freshman levels. Thus, most students now obtaining a bachelor's degree in the sciences or engineering have had some exposure to linear algebra. But rarely, even when solid courses are taken at the junior or senior levels, do these students have an adequate working knowledge of the subject to be useful in graduate work or in research and development activities in government and industry. In particular, most elementary courses stop at the point of canonical forms, so that while the student may have "seen" the Jordan and other canonical forms, there is usually little appreciation of their usefulness. And there is almost never time in the elementary courses to deal with more specialized topics like nonnegative matrices, inertia theorems, and so on. In consequence, many graduate courses in mathematics, applied mathe­ matics, or applications develop certain parts of matrix theory as needed.

### Keywords

algebra calculus equation mathematics theorem

#### Authors and affiliations

• James M. Ortega
• 1
1. 1.University of VirginiaCharlottesvilleUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4899-0471-3
• Copyright Information Springer-Verlag US 1987
• Publisher Name Springer, Boston, MA
• eBook Packages
• Print ISBN 978-0-306-42433-5
• Online ISBN 978-1-4899-0471-3
• Buy this book on publisher's site
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