\(A=\begin{pmatrix}3&2\\-1&1\end{pmatrix},\ B=\begin{pmatrix}-2&5\end{pmatrix},\ C=\binom{-2}5,\ D=\begin{pmatrix}2&0\\0&2\end{pmatrix}\). Work out when possible; otherwise state “not possible”.

(a(i)) 2A; [1]

(a(ii)) B + C; [1]

(a(iii)) AD; [2]

(a(iv)) \(A^{-1}\). [2]

(b) Explain why CD is not possible. [1]

(c) Describe fully the single transformation represented by D. [3]