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Show that the given transformation is conformal

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Reference no: EM131588280

Question: The transformation

Z = (az + b)/(cz + d), ad - bc ≠ 0,

Is called a bilinear transformation. Show that this transformation is conformal for

z ≠ -d/c

And has the property that circles in the z-plane are transformed into circles in the Z-plane (allowing a straight line to be regarded as a circle through the point at infinity).

Reference no: EM131588280

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