(a)[2]
For the matrix equation $\begin{pmatrix}2&3\\5&2\end{pmatrix} - 3A = \begin{pmatrix}5&3\\-4&-1\end{pmatrix}$, find $A$.
(b)[3]
Given $B = \begin{pmatrix}2&-2\\4&p\end{pmatrix}$ and $\det B = 2$, find the value of $p$ and hence write down $B^{-1}$.
(c(i))[2]
Describe in full the single transformation that takes shape $A$ to shape $B$.
(c(ii))[2]
The matrix $\begin{pmatrix}-2&0\\0&-2\end{pmatrix}$ gives the transformation from shape $A$ to shape $C$. Draw and label shape $C$.