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June 18th, 2010, 11:50 AM  #1 
Newbie Joined: Jun 2010 Posts: 5 Thanks: 0  affine transformation
how to solve this? an affine transformation theta:R^n >R^n acts as follow: theta(x) = 2*x+v, for all x in R^n, v is a constant vector; An affine subspace B in R^n is the set of solutions to the equation f(x)=c, where f: R^n>R is a nonzero linear map and c is an arbitrary constant. Find the equation of theta(B), where theta(B) is defined as the set of theta(x) for all x in B. ...what I can conclude is, f(x)=2*x, then I find x and the set B, but how to find theta(B)? is it the composition of two affine transformations? thanx 

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