A has vertices (0,2),(2,1),(1,3). Draw:

(a)(i) Translation by \(\binom3{-7}\); label B. [2]

(a)(ii) Reflection in x = 3; label C. [2]

(a)(iii) Rotation 90° anticlockwise about (0,0); label D. [2]

(a)(iv) Enlargement of factor −4 about (0,1); label E. [2]

(b) Area E = k × area A. Find k. [1]

F has vertices (−4,0),(−4,3),(−2,0). \(M=\begin{pmatrix}1&3\\0&1\end{pmatrix}\).

(c)(i) Draw the image under M. [3]

(c)(ii) Describe this transformation fully. [3]

(c)(iii) Find \(M^{-1}\). [2]