This page was last edited on 4 october 2012, at 20. Linear algebra done wrong sergei treil brown university. In chapter 10, we classify the complex matrices that admit orthogonal. We assume that the reader is familiar with the elementary algebra of real and complex numbers. Prerequisite materials, detailed proofs, and deeper treatments of selected topics. You will see that complex linear algebra is no more complex than real linear algebra. Similarly, there is little emphasis on a geometric approach to problems of linear algebra. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines.
Linear algebra is one of the most applicable areas of mathematics. Therefore we can do linear algebra over the complex numbers. 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. To prove the theorem about existence of eigenvalues on complex vector spaces, most books. With many parts from linear algebra i by michael stoll, 2007. Pdf linear algebra via complex analysis daniel daners. And, of course, many topics in linear algebra are discussed with varying degrees of thoroughness. Linear algebra notes fraleigh and beauregard webpage.
A1 of a matrix a is naturally an analytic function of, and the eigenvalues are isolated singularities. Linear algebra class notes fraleigh and beauregard copies of the classnotes are on the internet in pdf format as given below. Linear algebracomplex representations wikibooks, open. 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. After the saylor foundation accepted his submission to wave i of the open textbook challenge, this textbook was relicens\ ed as ccby 3. Kenneth kuttler of brigham young university for teaching linear algebra ii. Introduction to applied linear algebra stanford university.