For those seeking a more challenging linear algebra textbook that emphasizes analytical approaches and proofs, several recommendations emerged in the discussion. Sheldon Axler's book is highlighted for its theoretical perspective, making it suitable for readers with prior knowledge of determinants and eigenvalues. Micromass also recommends Axler but notes it may not be ideal as a first linear algebra text. Other suggested resources include "Advanced Calculus" by Loomis and Sternberg, which covers essential linear algebra topics and is available for free online, and a variety of free linear algebra texts linked in the discussion. For beginners, "Linear Algebra Done Wrong" is recommended as a more accessible introduction before tackling more rigorous texts.