Linear Algebra will be a very useful resource for the students and researchers who want to understand the key concepts of Linear Algebra in an easy way. This book has been divided into nine chapters with Chapter 1, 2 and 3 focusing on different types of matrices, sets, groups, rings and fields, vector spaces, and linear dependence and independence along with examples. Chapter 4 and 5 covers linear transformations along with the matrix representation of the sum and composition of linear transformations. Chapter 6 is dedicated to dual spaces whereas Chapter 7 describe an important topic of eigen values and eigen vectors. Chapter 8 and Chapter 9 deals with inner product, bilinear functional and quadratic forms. This book also contains good number of solved examples which help the reader in better understanding of the topic.