Matrix Theory

From Generalized Inverses to Jordan Form

AvRobert Piziak,P.L. Odell

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PDF, Engelska, 2007

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Beskrivning

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 whil

Produktinformation

Utgivningsdatum:2007-02-22
Språk:Engelska
Filformat:PDF
Kopieringsskydd:LCP
ISBN:9781420009934
Förlag:Taylor & Francis Ltd
Serie:Chapman & Hall/CRC Pure and Applied Mathematics

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

Each chapter ends with a list of references for further reading. Undoubtedly, these will be useful for anyone who wishes to pursue the topics deeper. ... the book has many MATLAB examples and problems presented at appropriate places. ... the book will become a widely used classroom text for a second course on linear algebra. It can be used profitably by graduate and advanced level undergraduate students. It can also serve as an intermediate course for more advanced texts in matrix theory. This is a lucidly written book by two authors who have made many contributions to linear and multilinear algebra. -K.C. Sivakumar, IMAGE, No. 47, Fall 2011 Always mathematically constructive, this book helps readers delve into elementary linear algebra ideas at a deeper level and prepare for further study in matrix theory and abstract algebra. -L'enseignement Mathematique, January-June 2007, Vol. 53, No. 1-2

Innehållsförteckning

The Idea of Inverse. Generating Invertible Matrices. Subspaces Associated to Matrices. The Moore Penrose Inverse. Generalized Inverses. Norms. Inner Products. Projections. Spectral Theory. Matrix Diagonalization. The Jordan Canonical Form. Multilinear Matters.