Matrix Groups

These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vector-valued functions. The idea is to introduce students to some of the concepts of Lie group theory— all done at the concrete level of matrix groups. As much as we could, we motivated developments as a means of deciding when two matrix groups (wit...