1. The problem statement, all variables and given/known data The pair of variables (x, y) are each functions of the pair of variables (u, v) and vice versa. Consider the Jacobians A=d(x,y)/d(u,v) and B=d(u,v)/d(x,y). Show using the chain rule that the product AB of these two matrices equals the unit matrix I. 2. Relevant equations 3. The attempt at a solution I wrote out the two Jacobians and tried to multiply them but I got the following: (dx/du)(du/dx)+(dx/dv)(dv/dx) (dx/du)(du/dy)+(dx/dv)(dv/dy) (dy/du)(du/dx)+(dy/dv)(dv/dx) (dy/du)(du/dy)+(dy/dv)(dv/dy) = 2 2dy/dx 2dy/dx 2 Where did I go wrong/ how do I continue this question?