The transformation \(T _ { 1 }\) is defined by the matrix
$$\left[ \begin{array} { l l }
0 & 1
1 & 0
\end{array} \right]$$
Describe this transformation geometrically.
The transformation \(T _ { 2 }\) is an anticlockwise rotation about the origin through an angle of \(60 ^ { \circ }\).
Find the matrix of the transformation \(T _ { 2 }\). Use surds in your answer where appropriate.
(3 marks)
Find the matrix of the transformation obtained by carrying out \(T _ { 1 }\) followed by \(T _ { 2 }\).
(3 marks)