2 The matrices \(\mathbf { A }\) and \(\mathbf { B }\) are given by $$\mathbf { A } = \left[ \begin{array} { c c } \frac { \sqrt { 3 } } { 2 } & - \frac { 1 } { 2 }
\frac { 1 } { 2 } & \frac { \sqrt { 3 } } { 2 } \end{array} \right] , \mathbf { B } = \left[ \begin{array} { c c } \frac { \sqrt { 3 } } { 2 } & \frac { 1 } { 2 }
\frac { 1 } { 2 } & - \frac { \sqrt { 3 } } { 2 } \end{array} \right]$$

1. Calculate:
   1. \(\mathbf { A } + \mathbf { B }\);
   2. \(\mathbf { B A }\).
2. Describe fully the geometrical transformation represented by each of the following matrices:
   1. \(\mathbf { A }\);
   2. \(\mathbf { B }\);
   3. \(\mathbf { B A }\).