Linear Algebra Done Wrong

This book appeared as lecture notes for the course “Honors Linear Algebra”. It supposed to be a first linear algebra course for mathematically advanced students. It is intended for a student who, while not yet very familiar with abstract reasoning, is willing to study more rigor-ous mathematics than what is presented in a “cookbook style” calculus type course. Besides being a first course in linear algebra it is also supposed to be a first course introducing a student to rigorous proof, formal definitions - in short, to the style of modern theoretical (abstract) mathematics. The target audience explains the very specific blend of elementary ideas and concreteexamples, which are usually presented in introductory linear algebra texts with more abstract definitions and constructions typical for advanced books.