This book is for anyone who would like to get a good overview of linear algebra in a relatively short amount of time. Those who will get the most out of The Manga Guide to Linear Algebra are: - University students about to take linear algebra, or those who are already tak­ing the course and need a helping hand - Students who have taken linear algebra in the past but still dont really under­stand what its all about - High school students who are aiming to enter a technical university - Anyone else with a sense of humor and an interest in mathematics! The book contains the following parts: Chapter 1: What Is Linear Algebra? Chapter 2: The Fundamentals Chapters 3 and 4: Matrices Chapters 5 and 6: Vectors Chapter 7: Linear Transformations Chapter 8: Eigenvalues and Eigenvectors Most chapters are made up of a manga section and a text section. While skip­ping the text parts and reading only the manga will give you a quick overview of each subject, I recommend that you read both parts and then review each subject in more detail for maximal effect. This book is meant as a complement to other, more comprehensive literature, not as a substitute. I would like to thank my publisher, Ohmsha, for giving me the opportunity to write this book, as well as Iroha Inoue, the books illustrator. I would also like to express my gratitude towards re_akino, who created the scenario, and everyone at Trend Pro who made it possible for me to convert my manuscript into this manga. I also received plenty of good advice from Kazuyuki Hiraoka and Shizuka Hori. I thank you all.