[填空题]
Parallelogram ABCD is ip8s/dn:9ms h5vij 5xkjg 32;nn0d rotranslated by the vectorguk(xj zh(brq9- +jg ;3gvx+a81 rnmw $\left(\begin{array}{l}1 \\ 4\end{array}\right)$ , then enlarged by a scale factor of $\frac{3}{2} $ from the origin and then reflected in the y -axis.
1. Determine a single transformation that maps the parallelogram A B C D to its image. Give your answer in the form
$\mathbf{x}^{\prime}=\mathbf{A} \mathbf{x}+\mathbf{b} \text {. }$
The area of the image is equal to k times the area of parallelogram A B C D .
2. Find the value of k .$\frac{a}{b}$a = b =
