Question: 7. Let A = 2, B = 5, C = 1 and A' = 3, B' = -1, C' = 2 be two groups of

7. Let A = 2, B = 5, C = 1 and A' = 3, B' = -1, C' = 2 be two groups of three points each on the real line R. (a) Does there exist an affine transformation f : R - R so that f (A) = A', f (B) = B', f(C) = C'? Justify. (b) Find a projective transformation f : RP] - RP so that g (A) = A', g(B) = B', g(C) = C'

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