Overview
Rotation Group
{% A =
\begin{bmatrix}
0 & - \theta \\
\theta & 0 \\
\end{bmatrix}
%}
{% J = \begin{bmatrix}
0 & - 1 \\
1 & 0 \\
\end{bmatrix} %}
{% e^A = (1 - \frac{\theta^2}{2!} + \frac{\theta^4}{4!} - ... )I_2 + (\frac{\theta}{1!} - \frac{\theta^3}{3!} + ...)J %}
{% e^A = \begin{bmatrix}
cos \theta & - sin \theta \\
sin \theta & cos \theta \\
\end{bmatrix} %}