6. The transformation \(T\) in the plane consists of a reflection in the line \(y = x\), followed by a translation in which the point \(( x , y )\) is transformed to the point \(( x + 1 , y - 2 )\),followed by an anticlockwise rotation through \(90 ^ { \circ }\) about the origin.

1. Find the \(3 \times 3\) matrix representing \(T\).
2. Show that \(T\) has no fixed points.