This book is intended as a textbook for a one-term undergraduate second linear algebra course which prepares students for both applied mathematics and pure mathematics, in particular, for Galois Theory. The students are assumed to have some knowledge on calculus, linear systems, determinates and matrices. Earlier drafts of this book have been used as the textbook when the author teaches MA222, the second linear algebra course of the three, at Wilfrid Laurier University since 2019.The book contains 196 exercises of varying difficulty which will allow students to practice their own computational and proof-writing skills. Detailed solutions, answers or hints to all the exercises are provided in the book. Besides standard ones, many of the exercises are provided in the book. Besides standard ones, many of the exercises are interesting. Some are rather hard. It is not a surprise if the reader cannot solve some of the exercises by themselves, particularly for first learners. It is strongly suggested that the readers first try to solve them without looking at the solutions of hints.
