Matrix Theory : From Generalized Inverses to Jordan Form
Language: English
Published by Taylor & Francis Inc Feb 2007, 2007
Series: Book 38 of 70 - Chapman & Hall/CRC Pure and Applied Mathematics
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 238.09
Quantity: 2 available
Add to basketItem description from seller
Neuware - Suitable for the second-semester course in linear algebra, this work creates a bridge from linear algebra concepts to more advanced abstract algebra and matrix theory. It focuses on the development of the Moore-Penrose inverse. It provides MATLAB[registered] examples and exercises as well as homework problems and suggestions for further reading.
Seller Inventory # 9781584886259
- Title
- Matrix Theory : From Generalized Inverses to Jordan Form
- Author
- Robert (Baylor University Piziak
- Publisher
- Taylor & Francis Inc Feb 2007
- Publication year
- 2007
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1584886250
- ISBN 13
- 9781584886259
- Item weight
- 1,210 grams
- Dimensions
- 233x153x39 mm
- Series
- Book 38 of 70: Chapman & Hall/CRC Pure and Applied Mathematics
In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra that probes introductory linear algebra concepts while also exploring topics not typically covered in a sophomore-level class.
Tailoring the material to advanced undergraduate and beginning graduate students, the authors offer instructors flexibility in choosing topics from the book. The text first focuses on the central problem of linear algebra: solving systems of linear equations. It then discusses LU factorization, derives Sylvester's rank formula, introduces full-rank factorization, and describes generalized inverses. After discussions on norms, QR factorization, and orthogonality, the authors prove the important spectral theorem. They also highlight the primary decomposition theorem, Schur's triangularization theorem, singular value decomposition, and the Jordan canonical form theorem. The book concludes with a chapter on multilinear algebra.
With this classroom-tested text students can delve into elementary linear algebra ideas at a deeper level and prepare for further study in matrix theory and abstract algebra.
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