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Intended as a text for postgraduate and undergraduate honours students of Statistics, Mathematics, Operations Research as well as students in various branches of Engineering, this student-friendly book gives an indepth analysis of Matrix Algebra and all the major topics related to it. Divided into 12 chapters, the book begins with a discussion on Elements of Matrix Theory and Some Special Matrices. Then it goes on to give a detailed discussion on Scalar Function and Inverse of a Matrix, Rank of a Matrix, Generalized Inverse of a Matrix, and Quadric Forms and Inequalities. The book concludes by giving Some Applications of Algebra of Matrices, Matrices in the Infinite Dimensional Vector Space, and Computational Tracts in Matrices.
KEY FEATURES ïµ Gives a large number of both solved and unsolved problems of Elementary Matrix. ïµ Provides an exhaustive treatment of Generalized Inverse Matrix with many applications in Statistics. ïµ Devotes one chapter exclusively to application of Matrices. ïµ Provides one full chapter on Matrices in the Infinite Dimensional Vector Space, which will be quite useful for postgraduate students. ïµ Gives an Appendix on R Software which will be extremely useful for students of Statistics. ïµ Provides Question Bank which will greatly benefit both undergraduate and postgraduate students. This book, which beautifully blends both theory and applications of Matrix Algebra, should prove to be an invaluable text for the students.
Contents:
Preface
0 Introduction
1. Elements of Matrix Theory
2. Some Special Matrices
3. Scalar Function and Inverse of a Matrix
4. Certain Basic Algebraic Concepts
5. Rank of a Matrix
6. Theory of Linear Equations
7. Eigenvalues and Eigenvectors
8. Generalised Inverse of a Matrix
9. Quadratic Forms and Inequalities
10. Some Applications of Algebra of Matrices (Theory of Markov Chains and Linear Programming Techniques)
11. Matrices in the Infinite Dimensional Vector Space
12. Computational Tracts in Matrices
Appendix ¢ Suggested Further Reading ¢ Question Bank
Index ISBN 9788120346239
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