Matrices By Dr. V. N. Kala, Rajeshri Rana

Matrices By Dr. V. N. Kala, Rajeshri Rana
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Matrices By Dr. V. N. Kala, Rajeshri Rana

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Publisher: Laxmi Publications
ISBN: 9788131807026
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PREFACE This book is intended to serve as a textbook for the course in Matrices for B.Sc. B.Tech. M.Tech. B.B.A. and B.C.A. students of different Indian Universities exams. The various concepts and related theorems have been given in a lucid and simple manner, leaving no scope of confusion. The language used in this book is simple and it contains a fairly large number of solved and unsolved problems. The requirements of the students have been a major factor kept in mind during compilation of this book. In every chapter concepts and theorems are discussed in details. This has been done with a view that even the beginners may not find any difficulty in grasping the subject matter. Great care has been taken in treatment of subject matter. The subject matter is systematic. It includes various important topics in the course studies of this subject. Planning has been done to present solutions to the problems in a lucid way. We earnestly hope that the present work will serve alike, the students and our esteemed and learned colleagues in the best possible way. We have a conscious effort to make the book students friendly. We hope that the students will find the book interesting. We have made our best efforts to bring the book free from errors. However, we shall be grateful, if the readers communicate us any omission or errors or any valuable suggestions for improvement of the quality of the book for next edition. Authors
ACKNOWLEDGEMENTS We acknowledge the contribution of Prof. A.K. Singh, H.O.D. and Director Tehri Campus, H.N.B. Garhwal University, Prof. P.K. Mittal, former H.O.D. Maths, Govt. P.G. College, Rishikesh Uttarakhand , Dr. Anita Tomar, H.O.D. Maths, Govt. Degree College, Vikasnagar Dehradun , Dr. Mukesh Bijalwan, Astt. Prof., ICFAI Univ., Dehradun, for their valuable suggestions during compilation of this book. We express our special thanks to Prof. M.L. Dewal, former Principal G.B. Pant Engineering College, Pauri Garhwal for encouraging us time to time, motivating during preparation of the manuscripts of this book. At last, we are indebted to our parents for all their blessings, guidelines and sincere support throughout the compilation period of this book. Authors
CONTENTS D FJAHI 1. Introduction to Matrices 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10
Matrix Definition Matrices It s Types Equality of Matrices Addition of Matrices Properties of Matrix Addition