This book is prepared as a text book for Linear algebra I (Math 2042) both for the teacher and students in order to deliver the course uniformly. Upon completion of the course, students will develop further concepts in advanced linear algebra providing a foundation for studying textbooks in a number of other areas of Mathematics and related fields. The main text in this module is organized in five chapters and covers the concepts: Vectors, Vector Spaces, Matrices, Determinants, and Linear Transformations. As per the curriculum, all the concepts are explained here, in a better and more interesting way with constructive examples in students can easily understand and motivate them to do by their own selves.