Symmetries of Euclidean Space R^n

In this video, we discuss the symmetries of the Euclidean space R^n. We view the symmetries of R^n as a vector space, an inner product space, a metric space, and topological space and discuss how the symmetry group varies based upon those perspectives.

This is lecture 36 (part 2/2) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4220 - Abstract Algebra I at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: