Elementary Linear Algebra

Linear algebra is the field of mathematics with the broadest set of applications in the modern world. It provides the language we use to describe complicated, interdependent systems in simple ways. Students study using vectors to describe surfaces or volumes embedded in higher dimensional spaces; they study how matrices are used to transform these vectors, surfaces, and volumes into other shapes; and they learn how complicated systems can be rewritten in terms of simple equations involving multiplying matrices and vectors. It is a field which is used extensively in computer science, applied mathematics, and physics as well as engineering.