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Linear Algebra with Applications 8E by Leon-Instructors Solution Manual

Posted on 2010-03-18




Name:Linear Algebra with Applications 8E by Leon-Instructors Solution Manual
ASIN/ISBN:0321690222
Author:Steve Leon
Publisher:Pearson
Language:English
File size:10.3 Mb
   Linear Algebra with Applications 8E by Leon-Instructors Solution Manual

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INSTRUCTORS SOLUTION MANUAL

Linear Algebra with Applications, 8/E

Steve Leon

ISBN-10: 0321690222

ISBN-13: 9780321690227 Publisher: Pearson

Copyright: 2010 --------------------------------------------------------------------------------------------------- CONTENTS

1. Matrices and Systems of Equations

1.1 Systems of Linear Equations

1.2 Row Echelon Form

1.3 Matrix Arithmetic

1.4 Matrix Algebra

1.5 Elementary Matrices

1.6 Partitioned Matrices

Matlab Exercises

Chapter Test A

Chapter Test B

2. Determinants

2.1 The Determinant of a Matrix

2.2 Properties of Determinants

2.3 Additional Topics and Applications

Matlab Exercises

Chapter Test A

Chapter Test B

3. Vector Spaces

3.1 Definition and Examples

3.2 Subspaces

3.3 Linear Independence

3.4 Basis and Dimension

3.5 Change of Basis

3.6 Row Space and Column Space

Matlab Exercises

Chapter Test A

Chapter Test B

4. Linear Transformations

4.1 Definition and Examples

4.2 Matrix Representations of Linear Transformations

4.3 Similarity

Matlab Exercises

Chapter Test A

Chapter Test B

5. Orthogonality

5.1 The Scalar Product in Rn

5.2 Orthogonal Subspaces

5.3 Least Squares Problems

5.4 Inner Product Spaces

5.5 Orthonormal Sets

5.6 The Gram—Schmidt Orthogonalization Process

5.7 Orthogonal Polynomials

Matlab Exercises

Chapter Test A

Chapter Test B

6. Eigenvalues

6.1 Eigenvalues and Eigenvectors

6.2 Systems of Linear Differential Equations

6.3 Diagonalization

6.4 Hermitian Matrices

6.5 The Singular Value Decomposition

6.6 Quadratic Forms

6.7 Positive Definite Matrices

6.8 Nonnegative Matrices

Matlab Exercises

Chapter Test A

Chapter Test B

7. Numerical Linear Algebra

7.1 Floating-Point Numbers

7.2 Gaussian Elimination

7.3 Pivoting Strategies

7.4 Matrix Norms and Condition Numbers

7.5 Orthogonal Transformations

7.6 The Eigenvalue Problem

7.7 Least Squares Problems

Matlab Exercises

Chapter Test A

Chapter Test B

Appendix: MATLAB

The MATLAB Desktop Display

Basic Data Elements

Submatrices

Generating Matrices

Matrix Arithmetic

MATLAB Functions

Programming Features

M-files

Relational and Logical Operators

Columnwise Array Operators

Graphics

Symbolic Toolbox

Help Facility

Conclusions

Bibliography

A. Linear Algebra and Matrix Theory

B. Applied and Numerical Linear Algebra

C. Books of Related Interest

Answers to Selected Exercises

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