Linear Algebra Done Wrong
The title of the book sounds a bit mysterious. Why should anyone read this book if it presents the subject in a wrong way? What is particularly done ‘wrong’ in the book?
Before answering these questions, let me first describe the target audience of this text. 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 rigorous mathematics that 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 concrete examples, which are usually presented in introductory linear algebra texts with more abstract definitions and constructions typical for advanced books.