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Linear Algebra with Applications / Edition 4

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Overview

With the most geometric presentation now available, this reference emphasizes linear transformations as a unifying theme, and enables users to "do" both computational and abstract math in each chapter. A second theme is introduced half way through the text—when eigenvectors are reached—on dynamical systems. It also includes a wider range of problem sets than found in any other book in this market. Chapter topics include systems of linear equations; linear transformations; subspaces of Rn and their dimension; linear spaces; orthogonality and least squares; determinants; eigenvalues and eigenvectors; symmetric matrices and quadratic forms; and linear differential equations. For anyone seeking an introduction to linear algebra.
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Editorial Reviews

Booknews
A text for undergraduates, stressing examples, exercises, history, and applications, and keeping abstract exposition to a minimum. Coverage includes linear equations and transforms, subspaces of Rn and their dimensions, orthogonality and least squares, determinants, eigenvalues and eigenvectors, coordinate systems, linear systems of differential equations, and linear spaces. Includes chapter exercises and selected answers. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780136009269
  • Publisher: Pearson
  • Publication date: 10/14/2008
  • Edition description: Older Edition
  • Edition number: 4
  • Pages: 504
  • Sales rank: 930,034
  • Product dimensions: 8.10 (w) x 10.00 (h) x 1.30 (d)

Table of Contents

Preface
1 Linear Equations 1
2 Linear Transformations 52
3 Subspaces of R[superscript n] and Their Dimensions 128
4 Orthogonality and Least Squares 177
5 Determinants 239
6 Eigenvalues and Eigenvectors 291
7 Coordinate Systems 371
8 Linear Systems of Differential Equations 438
9 Linear Spaces 477
App. A Vectors 546
Answers to Odd-Numbered Exercises A-1
Index I-1
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