TEXTBOOK OF MATRIX ALGEBRA: Edition 3

SUDDHENDU BISWAS

Aug 2012 · PHI Learning Pvt. Ltd.

About this ebook

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 Gives a large number of both solved and unsolved problems of Elementary Matrix. Provides an exhaustive treatment of Generalized Inverse Matrix with many applications in Statistics. Devotes one chapter exclusively to application of Matrices. Provides one full chapter on Matrices in the Infinite Dimensional Vector Space, which will be quite useful for postgraduate students. Gives an Appendix on R Software which will be extremely useful for students of Statistics. 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.

About the author

SUDDHENDU BISWAS (M.Sc. Mathematics; M.Sc. Statistics; PhD), Former Professor of Statistics, University of Delhi, is Senior Professor, Department of Statistics, School of Applied Sciences, Amity University, Noida, UP. He was also Dean, Faculty of Mathematical Sciences and Head, Department of Statistics, University of Delhi. Besides, he has taught at Indian Statistical Institute, Calcutta, University of Pune, Guwahati University, and Institute of Applied Manpower Research, New Delhi. Professor Biswas has been Fullbright Scholar and Distinguished Visitor in Statistics, University of Alabama at Tuscaloosa and Birmingham, USA; Visiting Scholar at Department of Biostatistics, University of North Texas, Fort Worth; Rockefeller Foundation Awardee for the Bellagio Residency Program in Italy and East-West Center Workshop Program at Honolulu, Hawaii and Visitor at International Institute of Applied Systems Analysis, Laxenburg, Austria. A Fellow of Indian Society of Mathematical Statistics, Society of Medical Statistics, and a member of Actuarial Society of India, Prof. Biswas is a recipient of Indian National Academy of Science Award. He has published 10 books, and over 100 research papers in reputed national and international journals.