The inner product is one of the most important tools in mathematics. Here we will examine how it is computed in Maple and how it is used in applications. Let's begin by loading the "linalg" package, which is a Maple package for vector arithmetic and operations (along with some plotting packages).

> restart:with(linalg):
with(plots):with(plottools):

Notice the command "innerprod" in the list of commands above. It is this command we will use extensively in this worksheet.

Inner Products and Norms

Projections

An Application

Exercises