This book introduces linear transformation and its key results which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This book is concise and provides examples and solutions for clear understanding of the concept. This book illustrates and outlines a clear understanding of linear transformation. It provides multiple choice questions, covers enough examples for the reader to gain a clear understanding and includes exact methods with specific short-cuts to get to the solution of a particular problem. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems This book will serve their need instead of having to use the more complex books that contain more concepts then needed.