ABSTRACT
In this chapter we introduce some of the mathematical (mostly linear algebraic) concepts useful in subsequent chapters. We do not assume advanced knowledge of linear algebra, but the reader will find this chapter considerably easier to follow with some basic knowledge of vector andmatrix operations (e.g., addition, subtraction, multiplication, etc.). Those who lack the background knowledge in this area are encouraged to read Green and Carroll (1976; Carroll et al. 1997), Searle (1966), or introductory chapters in Harville (1997) and Yanai et al. (2011). Green and Carroll provide a good starting point, as it gives a very nontechnical introduction to the subject, followed by Searle, which is slightly more technical, but provides a comprehensive account of general topics in linear algebra. Harville and Yanai et al. also cover fairly advanced and specialized topics.
