Linear Algebra, Theory And Applications

This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. This book features an...

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Bibliographic Details
Main Author: Kuttler, Kenneth (Author)
Format: Electronic eBook
Language:English
Published: [Place of publication not identified] Saylor Foundation [2012]
Series:Open textbook library.
Subjects:
Online Access:Access online version
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245 0 0 |a Linear Algebra, Theory And Applications  |c Kenneth Kuttler 
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264 1 |a [Place of publication not identified]  |b Saylor Foundation  |c [2012] 
264 4 |c ©2012. 
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505 0 |a Preliminaries -- Linear Transformations -- Determinants -- Row Operations -- Some Factorizations -- Spectral Theory -- Vector Spaces And Fields -- Linear Transformations -- Canonical Forms -- Markov Processes -- Inner Product Spaces -- Self Adjoint Operators -- Norms -- Numerical Methods, Eigenvalues 
520 0 |a This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. This book features an ugly, elementary, and complete treatment of determinants early in the book. Thus it might be considered as Linear algebra done wrong. I have done this because of the usefulness of determinants. However, all major topics are also presented in an alternative manner which is independent of determinants. The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods effectively. These considerations are found in numerical analysis texts. 
542 1 |f Attribution-ShareAlike 
546 |a In English. 
588 0 |a Description based on print resource 
650 0 |a Mathematics  |v Textbooks 
650 0 |a Algebra  |v Textbooks 
710 2 |a Open Textbook Library  |e distributor 
856 4 0 |u https://open.umn.edu/opentextbooks/textbooks/210  |z Access online version