Compute the Jacobian $J(u, v)$ for the following transformations.
$$T: x=4 v, y=-2 u$$
All right, So teach translation of UV decks. Why? We need to cut the Jacoby in where x y are given. So capture the Jacoby in. We just need to find derivatives. So partial X, with respect to you is zero partial watt of extractive. E is four y with respect to you is negative. Two. And why, With respect to the zero? Yep. Then the determinant then is zero minus negative. Eight, Isn't it a few times sporting a bit, which is equal to a positive eight, and we're done.