Answer
$$J(u,v)=\left| \begin{array}{ccc} -\frac{1}{2} & \frac{1}{2} \\ \frac{1}{2}&\frac{1}{2}\end{array}\right| $$
Work Step by Step
$$J(u,v)=\left| \begin{array}{ccc} -\frac{1}{2} & \frac{1}{2} \\ \frac{1}{2}&\frac{1}{2}\end{array}\right| $$