Complexvectorspaces onelastgeneralthingaboutthecomplexnumbers,justbecauseitssoimportant. We assume that the reader is familiar with the elementary algebra of real and complex numbers. In chapter 10, we classify the complex matrices that admit orthogonal. Kenneth kuttler of brigham young university for teaching linear algebra ii. After the saylor foundation accepted his submission to wave i of the open textbook challenge, this textbook was relicens\ ed as ccby 3. Similarly, there is little emphasis on a geometric approach to problems of linear algebra. And for those more interested in applications both elementary linear algebra. Linear algebra done wrong sergei treil brown university. With many parts from linear algebra i by michael stoll, 2007. You will see that complex linear algebra is no more complex than real linear algebra.
Much care has been taken in presenting the concepts of linear algebra in an orderly and logical progression. Linear algebra, theory and applications was written by dr. In most mathematics programs linear algebra comes in the first or second year, following or. Supplementary notes for complex variables, differential equations, and linear algebra. Prerequisite materials, detailed proofs, and deeper treatments of selected topics. Linear algebra class notes fraleigh and beauregard copies of the classnotes are on the internet in pdf format as given below. Pdf linear algebra via complex analysis daniel daners.
A lesson of software development is that complex projects. Introduction to applied linear algebra stanford university. And, of course, many topics in linear algebra are discussed with varying degrees of thoroughness. Formulating proofs and logical reasoning are skills that require nurturing, and it has been our aim to provide this. To prove the theorem about existence of eigenvalues on complex vector spaces, most books. The examples, exercises, and proofs files are pdf files prepared in beamer and they contain worked examples and exercises and a few proofs which are not in the regular classnotes. Therefore we can do linear algebra over the complex numbers. Sheldon axler linear algebra done right yikun zhang. Applications version 1 by howard anton and chris rorres and linear algebra and its applications 10 by gilbert strang are loaded with applications. While this may contradict the experience of many experienced mathematicians, the approach here is consciously algebraic. This page was last edited on 4 october 2012, at 20. Linear algebra is one of the most applicable areas of mathematics.