About The Book

This book offers a comprehensive introduction to the study of matrices, an essential branch of linear algebra. The concept of matrices, introduced by Arthur Cayley in 1860, has since evolved from solving linear equations to becoming a vital tool across numerous disciplines, including mathematics, engineering, computer science, physics, economics, and statistics. With the advancement of computer technology, the application of matrix methods has grown exponentially, making their understanding critical for students and professionals alike.

Designed to serve as both a textbook and a supplementary guide, this book covers fundamental principles, definitions, and propositions, providing a strong foundation for undergraduate and postgraduate students. Each chapter is structured to begin with clear explanations, followed by illustrative examples and descriptive material to ensure thorough understanding. The book not only covers the standard syllabus but also includes additional material to engage and challenge readers, making it ideal for self-study and classroom use.

Readers will explore algebraic operations on matrices, understand systems of linear equations, and delve into more abstract concepts like quadratic forms, all explained through the language of matrices. The abstract discussions later in the book provide deeper insight into the structure and significance of these mathematical tools.

The inclusion of numerous solved problems, complete with proofs of key theorems, enhances learning by reinforcing theoretical concepts. Supplementary exercises at the end of each chapter allow for practice and review, ensuring that readers can master the material and apply it effectively in their respective fields.

About The Author

Dr. Nazir Ahmad Ahengar has completed PhD from Rani Durgawati University, Jabalpur Madhya Pradesh, M.Pill from A.P.S University, Rewa Madhya Pradesh and M.Sc/B.Ed from the University of Kashmir, J&K India

Dr. Nazir Ahmad Ahengar, resident of Brariangan-Uttersoo, Tehsil-Shangus, District-Anantnag J&K has worked in the Department of Engineering Mathematics in different technical institutions more than fifteen years and has published numerous research articles in the area of topology, fuzzy topology and in binary topological spaces in various national/international journals and has presented several research articles in different national/international conferences, workshops and seminars. Currently he is an active reviewer of different national and international journals also.

Ms. Sneha Gangadhar Jondhale is an accomplished educator with over eight years of experience teaching mathematics at various academic levels. She holds a Master’s degree in Mathematics from Pune University and currently pursuing a Ph.D. in Mathematics from Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, Maharashtra.

Ms. Sneha Gangadhar Jondhale serves as an Assistant Professor at Pimpri-Chinchwad University, Pune, where she is recognized for her innovative teaching methods and dedication to student success. She has attended all levels of the prestigious Mathematics Training and Talent Search (MTTS) program, which reflects their commitment to deepening their mathematical knowledge and skills.

Dr. Arvind Kumar Sharma is a renowned expert in Mathematics and a pioneer in the field of Engineering Mathematics education. He has taught at various institutions in India, such as Aligarh College of Engineering and Management (ACEM) Aligarh, Institute of Technology and Management (ITM) Aligarh, and Vivekanand College of Technology and Management (VCTM) Aligarh.

Dr. Sharma is a dynamic professional with over 15 years of experience in teaching, research, and administration. Currently, Dr. Arvind Kumar Sharma is serving as an Assistant Professor of Mathematics at Pimpri Chinchwad University (PMRDA) in Pune district, Maharashtra. Dr. Sharma holds a Ph.D. degree in Mathematics from Dr. B.R. Ambedkar University, Agra. He has also earned B.Ed. and M.Ed. degrees from Dr. B.R. Ambedkar University, Agra. He has made significant contributions to the academic field. He has published numerous research papers in the fields of Fluid Dynamics, Topology, and Fuzzy Algebra in reputed national and international journals.

Dr. Rakesh Ranjan received his Five years Integrated M.Sc. in Applied Mathematics from Central University of Jharkhand, Ranchi, India and Ph.D. in Mathematics from National Institute of Technology Jamshedpur, India. He holds CSIR NET and Gate certificates. Currently, he is working at Government Polytechnic Lakhisarai, DSTTE Bihar as a lecturer since 2018. His research interests span the areas of numerical solution of differential equations, focusing on singularly perturbed problems. He has published more than 20 research articles in reputable journals. He also made numerous contributions in serving as a reviewer. His research interests include Numerical Analysis, Integral equations and Fractional Calculus and Mathematical Modeling. He has organized Mathematics Day, Science Day etc. He has completed many FDP Courses.