A quick question this time...(adsbygoogle = window.adsbygoogle || []).push({});

Example: Let (u,v)=f(x,y)=(x-2y, 2x-y).

Find the region in the xy-plane that is mapped to the triangle with vertices (0,0),(-1,2),(2,1) in the uv-plane.

Solution:

(0,0)=f(0,0), (-1,2) = f(5/3,4/3), and (2,1)=f(0,-1), the region is the triangle with these vertices.

My question is:

Yes, we get three points, but how do you know FOR SURE that the region is a TRIANGLE? I am lost here...

Thanks for explaining!

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# Homework Help: Inverse mapping theorem , Transformations

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