A TEXTBOOK OF MATRICES

The present book “A TEXTBOOK OF MATRICES” has been written to develop foundation knowledge for the readers to understand basics of matrices. The subject matter has been discussed in such a simple and systematic way that the readers will find no difficulty to understand it. The present book is divided into ten chapters (Chapter-1 Matrix Algebra; Chapter-2 Determinant and Inverse of a Square Matrix; Chapter-3 Some Special Matrices; Chapter-4 Elementary Operations and Rank of a Matrix; Chapter-5 Linear Dependence and Independence of Vectors; Chapter-6 Solution of System of Linear Equations; Chapter-7 Eigen Values and Eigen Vectors of a Matrix; Chapter-8 Algebraic and Geometric Multiplicities of an Eigen Value of a Square Matrix; Chapter-9 Cayley-Hamilton Theorem; Chapter-10 Diagonalization of a Matrix) and in the end of each chapter a set of unsolved problems as an exercise to the students has been incorporated. This book also contains 100 multiple choice questions. We hope that this book will meet the requirement and the expectations of the readers.