The goal of this book is to address various aspects of the subject. This book provides basic knowledge and applications of matrices. It plays a vital role in the teaching and learning process. Every issue has been explained in a straightforward manner which enables students to understand the basics of matrices and various topics related to it. The book not only gives theoretical knowledge but how the concepts of matrices can be useful in various applications including real life problems discussed. We mainly focused on engineering students and therefore the topics were organized according to the requirements. It will also help teachers to teach the subject in proper sequence and in depth with applications on it. This book presents ample examples on each topic. This book provides adequate knowledge and also encourages students for self-study. There should be sufficient provision for revision, practice and review. The content presented in the textbook is accurate and up-to- date. The content should be organized in the increasing order of difficulty.In this book, our main focus is on applications parts of the Matrix.