For self-study in linear algebra at the undergraduate level, several recommended texts include "Linear Algebra Done Right" by Sheldon Axler, which is favored for its clear approach that postpones the introduction of determinants. Another option is "Algebra" by Michael Artin, which integrates determinants early in the text but is primarily focused on modern algebra concepts. "Linear Algebra" by Serge Lang is also mentioned as a solid choice. Additionally, "Linear Algebra" by Friedberg, Insel, and Spence is noted for its standard approach and popularity among students. Each of these books offers a unique perspective and methodology, catering to different learning preferences.