Linear Algebra with Applications

ISBN-10: 0131857851

ISBN-13: 9780131857858

Edition: 7th 2006

Authors: Steven J. Leon

List price: $141.33 Buy it from $1.79
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Description:

This thorough and accessible book from one of the leading figures in the field of linear algebra provides readers with both a challenging and broad understanding of linear algebra. The author infuses key concepts with their modern practical applications to offer readers examples of how mathematics is used in the real world. Topics such as linear systems theory, matrix theory, and vector space theory are integrated with real world applications to give a clear understanding of the material and the application of the concepts to solve real world problems. Each chapter contains integrated worked examples and chapter tests. The book stresses the important role geometry and visualization play in understanding linear algebra. For anyone interested in the application of linear algebra theories to solve real world problems.
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Book details

List price: $141.33
Edition: 7th
Copyright year: 2006
Publisher: Prentice Hall PTR
Publication date: 6/6/2005
Binding: Hardcover
Pages: 544
Size: 7.00" wide x 9.25" long x 0.75" tall
Weight: 2.134

Preface
Matrices and Systems of Equations
Systems of Linear Equations
Row Echelon Form
Matrix Algebra
Elementary Matrices
Partitioned Matrices
Matlab Exercises
Chapter Test
Determinants
The Determinant of a Matrix
Properties of Determinants
Cramer's Rule
Matlab Exercises
Chapter Test
Vector Spaces
Definition and Examples
Subspaces
Linear Independence
Basis and Dimension
Change of Basis
Row Space and Column Space
Matlab Exercises
Chapter Test
Linear Transformations
Definition and Examples
Matrix Representations of Linear Transformations
Similarity
Matlab Exercises
Chapter Test
Orthogonality
The Scalar Product in R[superscript n]
Orthogonal Subspaces
Least Squares Problems
Inner Product Spaces
Orthonormal Sets
The Gram--Schmidt Orthogonalization Process
Orthogonal Polynomials
Matlab Exercises
Chapter Test
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
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
Iterative Methods *Web
Jordan Canonical Form *Web
Matlab
Bibliography
Answers to Selected Exercises
Index
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