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Suppose three distinct points 2, i, -2 in z-plane maps onto 1, i, -1 in w-plane (i) Construct the bilinear transformation that maps these

Suppose three distinct points 2, i, -2 in z-plane maps onto 1, i, -1 in w-plane (i) Construct the bilinear transformation that maps these points. (ii) Find the fixed points of the transformation.

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