- #1
jakey
- 51
- 0
Hi guys, let's say I have a transformation T from (p,q) to (u,v). The inverse transformation would be T^{-1} from (u,v) to (p,q)
Now, J(T) = u_{p}v_{q} - u_{q}v_{p}. On the other hand, J(T^{-1})= p_{u}q_v - p_{v}q_{u}. But |J(T)J(T^{-1})| = 0 and not equal to 1. I know it's supposed to be 1 but how do you show it using this way?
thanks!
Now, J(T) = u_{p}v_{q} - u_{q}v_{p}. On the other hand, J(T^{-1})= p_{u}q_v - p_{v}q_{u}. But |J(T)J(T^{-1})| = 0 and not equal to 1. I know it's supposed to be 1 but how do you show it using this way?
thanks!