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Finding the map between two images

  1. Mar 29, 2009 #1

    king vitamin

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    Gold Member

    1. The problem statement, all variables and given/known data

    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.

    2. Relevant equations

    Not much to say other than T(D*) = D

    3. 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?
     
  2. jcsd
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