Math 4281

Homework 6

Due Monday, March 7, 2011

The problem set is due at the beginning of the class on Monday.

Section 1.10:    Exercises 2, 4, 5 (ignore the metric space question), 10 [Hint: When showing that the set of fractional linear transformations is closed under composition, observe that composition of fractional linear transformations is given by matrix multiplication. Use this to find the condition for a fractional linear trasnformation to be invertible.]

Section 1.11:    Exercises 1, 2, 11

Section 2.1:    Printed edition: Exercises 6 , 10, 13

    (The numbers for these problems in the online edition: Exercises 5 , 9, 12)