Linear Algebra with Applications

ISBN-10: 0136009298
ISBN-13: 9780136009290
Edition: 8th 2010
Authors: Steve Leon
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Book details

List price: $119.99
Edition: 8th
Copyright year: 2010
Publisher: Pearson Education, Limited
Publication date: 8/26/2009
Binding: Hardcover
Pages: 552
Size: 7.50" wide x 9.50" long x 0.75" tall
Weight: 2.046

Steven J. Leon is a Chancellor Professor of Mathematics at the University of Massachusetts Dartmouth. He has been a Visiting Professor at Stanford University, ETH Zurich (the Swiss Federal Institute of Technology), KTH (the Royal Institute of Technology in Stockholm), UC San Diego, and Brown University. His areas of specialty are linear algebra and numerical analysis.Leon is currently serving as Chair of the Education Committee of the International Linear Algebra Society and as Contributing Editor to Image, the Bulletin of the International Linear Algebra Society. He had previously served as Editor-in-Chief of Image from 1989 to 1997. In the 1990's he also served as Director of the NSF sponsored ATLAST Project (Augmenting the Teaching of Linear Algebra using Software Tools). The project conducted 18 regional faculty workshops during the period from 1992ndash;1997.

Preface
What's New in the Eighth Edition?
Computer Exercises
Overview of Text
Suggested Course Outlines
Supplementary Materials
Acknowledgments
Matrices and Systems of Equations
Systems of Linear Equations
Row Echelon Form
Matrix Arithmetic
Matrix Algebra
Elementary Matrices
Partitioned Matrices
Matlab Exercises
Chapter Test A
Chapter Test B
Determinants
The Determinant of a Matrix
Properties of Determinants
Additional Topics and Applications
Matlab Exercises
Chapter Test A
Chapter Test B
Vector Spaces
Definition and Examples
Subspaces
Linear Independence
Basis and Dimension
Change of Basis
Row Space and Column Space
Matlab Exercises
Chapter Test A
Chapter Test B
Linear Transformations
Definition and Examples
Matrix Representations of Linear Transformations
Similarity
Matlab Exercises
Chapter Test A
Chapter Test B
Orthogonality
The Scalar Product in Rn
Orthogonal Subspaces
Least Squares Problems
Inner Product Spaces
Orthonormal Sets
The Gram-Schmidt Orthogonalization Process
Orthogonal Polynomials
Matlab Exercises
Chapter Test A
Chapter Test B
Eigenvalues
Eigenvalues and Eigenvectors
Systems of Linear Differential Equations
Diagonalization
Hermitian Matrices
The Singular Value Decomposition
Quadratic Forms
Positive Definite Matrices
Nonnegative Matrices
Matlab Exercises
Chapter Test A
Chapter Test B
Numerical Linear Algebra
Floating-Point Numbers
Gaussian Elimination
Pivoting Strategies
Matrix Norms and Condition Numbers
Orthogonal Transformations
The Eigenvalue Problem
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
Linear Algebra and Matrix Theory
Applied and Numerical Linear Algebra
Books of Related Interest
Answers to Selected Exercises

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