Table of 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

About the Author

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.