Let D* be the parallelogram with vertices at (-1,3), (0,0), (2,-1), and (1,2), and let D be the rectangle D = [0,1] X [0,1]. Find a T such that D is the image set of D8 under T.
Not much to say other than T(D*) = D
The Attempt at a Solution
This section of the book is on mapping, and the book does not give any clues on how to find maps given images, so I'm pretty stumped. This is a vector calculus text, by the way, in case you're wondering about context.
Should I try to find a map that connects the vertices? Or one that transforms the sides? (I've tried both of these with no luck) Or is there a general method for solving this?