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Linear Algebra: Concepts and Applications - Hardcover

 
9781842657065: Linear Algebra: Concepts and Applications

Synopsis

Covers important topics of Linear equations and matrices, Vector spaces, Linear transformations, Matrix analysis, Eigenvalues and eigenvectors and Inner product spaces. This book will help the reader work on the problems of numerical analysis, operations research, differential equations and engineering applications.

Table of Contents

• Preface
• List of Symbols
• Linear Equations and Matrices: Solution of Linear Equations
• Matrix Inversion
• Partition of Matrices
• Minors and Rank of Matrices
• Cofactor and Adjoint Matrix
• Vector Spaces: Introduction
• Subspaces
• Span of a Set
• Linear Dependence, Independence
• Bases and Dimension
• Sums of Subspaces
• Linear Variety
• Linear Transformations: Introduction
• Range and Null Space
• Rank and Nullity of Linear Maps
• Inverse of a Linear Transformation
• The Space L (U,V)
• Composition of Linear Maps
• Operator Equations
• Matrix Analysis: Matrices Versus Linear Maps
• Sums and Multiplication of Matrix
• Rank and Nullity of a Matrix
• Rank-Factorization and Basic Solutions
• Special Types of Matrices
• Eigenvalues and Eigenvectors: Introduction
• Properties of Eigenvalues and Eigenvectors
• Diagonalization of Matrices
• Cayley-Hamilton Theorem
• Inner Product Spaces: Introduction
• Norm
• Orthogonality and Orthonormal Bases
• Orthogonal and Unitary Matrices
• Objective Type Questions
• Bibliography
• Answers
• Index.

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About the Author

Devendra Kumar.: Department of Mathematics, M.M.H. College, Ghaziabad

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9788184871500: Linear Algebra Concepts And Applications

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ISBN 10:  8184871503 ISBN 13:  9788184871500
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Kumar, Devendra
Published by Alpha Science, 2012
ISBN 10: 1842657062 ISBN 13: 9781842657065
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