Linear Algebra: Concepts and Applications - Hardcover

Kumar, Devendra

Hardcover

ISBN 10: 1842657062 ISBN 13: 9781842657065

Publisher: Alpha Science, 2012

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.

About this title

About the Author

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

Edition details

• Publisher: Alpha Science
• Publication date: 2012
• Language: English
• ISBN 10: 1842657062
• ISBN 13: 9781842657065
• Binding: Hardcover
• Edition number: 1
• Number of pages: 254