Topics in Geometry - Assignment 3 | MATH 6490, Assignments of Geometry

Download Topics in Geometry - Assignment 3 | MATH 6490 and more Assignments Geometry in PDF only on Docsity! Math 6490: Written Assignment 3 Due Thursday, April 8 1. Suppose m = [ 1 0 1 1 ] and C is the imaginary axis iR. Find the exact center and radius of all the circles mn(C). Hint: Find a formula for mn(∞). Use that to locate the center of mn(C). 2. Suppose T (z) satisfies T (z)− 1 T (z) + 1 = 2 z − 1 z + 1 . (a) Let C be the unit circle. Find the center and radius of T n(C) for all integers n. (b) Let C be the imaginary axis iR. Find the center and radius of T n(C) for all integers n. 1