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II 7 1 Compute explicitly the fractional linear transformations determined by the following correspondences a...

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II 7 1 Compute explicitly the fractional linear transformations determined by the following correspondences a 1 1 2 0 b 0 1 0 0 i 1 1 1 1 2 c 0 1 1 2 0 1 00 d 2 1 2 1 2i 0 1 2i H Solution a We have the points The mapping is w wo w w 2 0 1 2 w w ws wo 2 22 21 20 20 1 i 21 2 22 0 w 0 w wo 1 w w w w 1 wo w take limit as w to obtain of triples 0 1 e 1 2 x f 0 i 0 1 0 0 1 0 g 0 00 i h 1 i 1 1 0 1 a wo 0 W 1 1 1 z 1 i 2 0 O T 220 21 22 2 22 21 20 5 2iz 2 2

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