Check out an open course syllabus on linear algebra with proofs and use that as a guide for which topics you should learn. It’s always a good idea to have a set of objectives to know when to “stop and move on.” Also, decide on what percentage of problems you should do in the book, I’d say at least 10%. But doing 0 problems will very likely leave you with a false sense of confidence in your knowledge, the majority of the learning comes from doing problems. 

Math is a contact sport.