\(\mathbf v=\begin{pmatrix}-4\\-8\end{pmatrix}\).

(a(i)) Draw the image of A translated by v. [2]

(a(ii)) Calculate \(|\mathbf v|\). [2]

(b(i)) Describe fully the transformation mapping A onto B. [3]

(b(ii)) Find its matrix. [2]

(b(iii)) Find the matrix determinant. [1]