7. (i) In each of the following cases, find a \(2 \times 2\) matrix that represents
- a reflection in the line \(y = - x\),
- a rotation of \(135 ^ { \circ }\) anticlockwise about \(( 0,0 )\),
- a reflection in the line \(y = - x\) followed by a rotation of \(135 ^ { \circ }\) anticlockwise about \(( 0,0 )\).
(ii) The triangle \(T\) has vertices at the points \(( 1 , k ) , ( 3,0 )\) and \(( 11,0 )\), where \(k\) is a constant. Triangle \(T\) is transformed onto the triangle \(T ^ { \prime }\) by the matrix
$$\left( \begin{array} { r r }
6 & - 2
1 & 2
\end{array} \right)$$
Given that the area of triangle \(T ^ { \prime }\) is 364 square units, find the value of \(k\).