Linear Algebra with Applications

Name: Linear Algebra with Applications
Price: 4.86 USD
Availability: InStock
ISBN: 9780131857858

ISBN-10: 0131857851

ISBN-13: 9780131857858

Edition: 7th 2006

Authors: Steven J. Leon

List price: $141.33

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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…

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