(Solved): Frequently, we encounter a need for two (different) linear transformations to transform a parallel ...

Frequently, we encounter a need for two (different) linear transformations to transform a parallelogram into a rectangular region. When this happens, we need to make choices like: \( u=-4 x-5 y \) and \( v=-x-6 y \) For this example, find the inverse transformations: \[ x= \] \[ y= \] and use these to calculate the Jacobian: \[ \frac{\partial(x, y)}{\partial(u, v)}= \]