Linear Algebra Student Solutions Manual / Edition 1

Linear Algebra Student Solutions Manual / Edition 1

by Fred Szabo
     
 

ISBN-10: 0126801371

ISBN-13: 9780126801378

Pub. Date: 09/01/2000

Publisher: Elsevier Science

This book introduces interested readers, practitioners, and researchers to Mathematica methods for solving practical problems in linear algebra. It contains step-by-step solutions of problems in computer science, economics, engineering, mathematics, statistics, and other areas of application. Each chapter contains both elementary and more challenging

Overview

This book introduces interested readers, practitioners, and researchers to Mathematica methods for solving practical problems in linear algebra. It contains step-by-step solutions of problems in computer science, economics, engineering, mathematics, statistics, and other areas of application. Each chapter contains both elementary and more challenging problems, grouped by fields of application, and ends with a set of exercises. Selected answers are provided in an appendix. The book contains a glossary of definitions and theorem, as well as a summary of relevant Mathematica tools. Applications of Linear Algebra can be used both in laboratory sessions and as a source of take-home problems and projects.


* Concentrates on problem solving and aims to increase the readers' analytical skills
* Provides ample opportunities for applying theoretical results and transferring knowledge between different areas of application; Mathematica plays a key role in this process
* Makes learning fun and builds confidence
* Allows readers to tackle computationally challenging problems by minimizing the frustration caused by the arithmetic intricacies of numerical linear algebra

Product Details

ISBN-13:
9780126801378
Publisher:
Elsevier Science
Publication date:
09/01/2000
Edition description:
SOLUTN MN
Pages:
278
Product dimensions:
0.58(w) x 7.50(h) x 9.25(d)

Table of Contents

Preface ix
Linear Systems
1(36)
Linear Equations
1(7)
Linear Systems
8(4)
Mathematica and Linear System
12(2)
Matrices and Linear Systems
14(5)
Augmented Matrices
19(2)
Row Echelon Matrices
21(6)
Reduced Row Echelon Matrices
27(2)
Matrix Equations
29(8)
Matrix Algebra
37(38)
Basic Matrix Operations
39(7)
A Lexicon of Matrices
46(6)
Invertible Matrices
52(5)
Orthogonal Matrices
57(2)
Lu Decomposition
59(11)
Applications
70(5)
Determinants
75(14)
The Laplace Expansion
75(6)
Applications
81(8)
Vector Spaces
89(32)
Real Vector Spaces
89(21)
Subspaces
110(7)
Complex Vector Spaces
117(4)
Linear Transformations
121(32)
Matrices and Linear Transformations
131(8)
Images and Kernels
139(12)
Similarity
151(2)
Eigenvalues and Eigenvectors
153(24)
Characteristic Polynomials
159(6)
Eigenspaces
165(4)
Diagonalizing Square Matrices
169(3)
Applications
172(5)
Norms and Inner Products
177(28)
Norms
177(4)
Real Inner Products
181(10)
Angles
191(6)
Quadratic Forms
197(5)
Complex Inner Products
202(3)
Orthogonality
205(36)
Orthogonal Vectors
205(5)
Orthogonal Bases
210(2)
Orthonormal Bases
212(6)
Qr Decomposition
218(6)
Orthogonal Matrices
224(3)
Orthogonal Subspaces
227(4)
Orthogonal Transformations
231(5)
The Method of Least Squares
236(5)
Singular Values and Singular Vectors
241(8)
Singular Values
241(4)
Singular Value Decomposition
245(4)
Applications
249

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