Reading a proofs book is not essential before studying linear algebra, as a solid introductory book on linear algebra with proofs can suffice. Many find linear algebra easier than analysis, although some analysis texts may require knowledge of linear algebra concepts like n-tuples and vector norms. Certain analysis books can be independent of linear algebra, focusing instead on single-variable calculus theory. Recommended resources include "Understanding Analysis" by Abbot for analysis and "Linear Algebra Done Right" by Axler for linear algebra. While reading a proofs book can be beneficial for those unfamiliar with proofs, it is not a strict requirement.