Linear Algebra Done Right is a best-selling textbook for the second linear algebra course aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces.
The author has taken exceptional care to motivate concepts and simplify proofs. Various interesting exercises in each chapter help students understand and manipulate the objects of linear algebra.