The Functions $x = x ( u , v )$ And $y = y ( u , v )$

Multiple Choice

The functions $x = x ( u , v )$ and $y = y ( u , v )$ are given to determine transformations from the xy-coordinate system to a uv-coordinate system. Find the Jacobian of the transformation. $$\begin{array} { l } x = 2 u - 4 v \\y = 2 u + 4 v\end{array}$$

A) 8
B) 16
C) 0
D) 12