This is a great book to learn linear algebra from. It introduce you for the basic of linear algebra, like matrices and how to work with them and what you can use them for. There are many matematics sentences in this book with proofs. Also you will learn how to manage determinants and eigenvectors, not forgetting the more difficult Normal Jordan Form (if you need that). The exercises are great to make you remember all the sentences. So if you want to learn more about vectors in dimensions, you can not imagine, such like 5-d, then here is your tool. Also the text is written so you can understand it, wihout beeing someone needing beeing perfect to English.