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Problem related to the linear fractional transformation

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Reference no: EM131595064

Question: 1. Prove that the composition of two linear fractional transformations is a linear fractional transformation.

2. Prove that every linear fractional transformation has an inverse, and that this inverse is also a linear fractional transformation. (T∗ is an inverse of T if T ΟT∗ and T∗ ΟT are both the identity mapping, taking each point to itself.)

3. Show that there is no linear fractional transformation mapping the open disk |z|2/4+v2 = 1/16.

Reference no: EM131595064

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