Theory of Matrices

KEY FEATURES:

* Basic definitions, principles and theorems followed by numerical illustrations.
* Discusses algebra and matrices from the beginning.
* Chapters on Bilinear forms, Quadratic forms, Hermitian forms included for computer, engineering and economics and advanced studies.

ABOUT THE BOOK:

In this book, matrices and their algebra have been introduced from the beginning. So, the addition, multiplication, determinants, adjoint and inverse of matrices with concrete examples have been discussed properly. For advanced students, rank, vector spaces, with row and column spaces of matrices have been given in detail. Some new chapters on geometrical transformation, bilinear forms, quadratic forms, Hermitian forms and similar matrices are dealt with at specific length to give the book a self contained feel. Conceptual, theoretical as well as numerical problems have also been included. Many important problems have been solved and graded exercises are given at the end of each section.

This book caters to the needs of undergraduate students of engineering, physics, computer graphics, economics, psychology and other branches.

CONTENTS:

* Matrices
* Algebra of Matrices
* Determinants
* Adjoint and Inverse of a Matrix
* Rank and Equivalence
* Linear Equations
* Vector Spaces and Linear Transformations
* Characteristic Roots and Vectors of a Matrix
* Bilinear Forms
* Quadratic Forms
* Hermitian Forms
* Similar Matrices

READERSHIP:

* UG students and teachers of mathematics, Computer science/engineering, Operations research, Electrical engineering and economics
* Scientists, Professionals and practising engineers
* University and college libraries.

New Academic Science is a newly established Science, Technical and Medical publisher.

We offer high level text and reference titles to the academic community. Written by leading scientists and academic professionals affiliated to prestigious institutions worldwide, our books bring into focus innovative research and the latest teaching theories and concepts.

Some of the many areas we publish in include:

-Electrical Engineering
-Mechanical Engineering
-Chemistry
-Mathematics
-Physics
-Computer Science

Dr B S Vatsa has retired as the Dean, Faculty of Science, Head and Professor of the Mathematics Department, St. John's College, Agra University, Agra, India. He was the convenor of Board of Studies and Chairman of Research degree committee of Agra University. He had taught Algebra & Analysis to graduate and postgraduate classes for approximately four decades. He did his PhD in coding theory and published many papers in international journals. He had guided research in algebra and coding theory.

Suchi Vatsa is MSc in Physics and MCA from Technical University, Lucknow. She is teaching BCA and MCA classes for more than eight years. At present she is a Faculty member at APEEJAY Institute of Technology at Greater Noida.