jenniferwu3232
New member
- Joined
- Dec 9, 2013
- Messages
- 4
1. show if Φ is an isometry of the metric space (X, d), then its inverse map Φ^-1 is also an isometry of (X. d)
2. Consider the isometry Φ(z)=e^(iπ/3)zbar+1+i.
. . .a) find the equation for its inverse map Φ^-1(z)
. . .b) check to see if it is an isometry
i have figured out part 1) but am stuck on part 2) of this problem. So far for part 2) i have set z= e^(iπ/3)zbar+1+i. and am trying to solve for zbar. but I am lost.
2. Consider the isometry Φ(z)=e^(iπ/3)zbar+1+i.
. . .a) find the equation for its inverse map Φ^-1(z)
. . .b) check to see if it is an isometry
i have figured out part 1) but am stuck on part 2) of this problem. So far for part 2) i have set z= e^(iπ/3)zbar+1+i. and am trying to solve for zbar. but I am lost.
Last edited by a moderator: