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Linear Algebra has been an essential part of the mathematical background which are use in Mathematicians, engineers, physicists and other scientists. Such requirement gives the importance and wide applications of the subject matter. This book is designed for use in undergraduate Mathematics and Statistics courses and for ancillary mathematics in MA/M.Sc. Statistics courses. It aims to present an introduction to linear algebra which will be found helpful to all readers regardless of their fields of specialization. All the basic definitions and theoram given in this book are simple and easy language and discussed with appropriate examples in a systematic way: More material has been included than can be covered in most first courses. This has been done to make the book more feasible to provide a useful book of reference and to stimulate further in the subject.