Representing $\mathbb{R}/\mathbb{Z}$ as a matrix group. It was told to me that $G = \mathbb{R}/\mathbb{Z}$ is a real matrix group. 
Can someone help me understand how to represent $G$ in $Gl_n(\mathbb{R})$ for some $n$? 
(Supposedly, $n = 1$? But that's confusing because then G is [0,1) with a modular addition group operation, which doesn't seem like a matrix group to me.)
Any help would be much appreciated!
Thanks! -Dan

Maybe she or he meant $ℝ/ℤ \cong  \cong \mathrm{SO}_2(ℝ)$?
