Solution 12.

Answer.   [Graphics:../Images/MobiusTranformationModHome_gr_636.gif]    and    [Graphics:../Images/MobiusTranformationModHome_gr_637.gif].  

Solution.   Write  

                    [Graphics:../Images/MobiusTranformationModHome_gr_638.gif]  

Therefore,   [Graphics:../Images/MobiusTranformationModHome_gr_639.gif].

Write     

                    [Graphics:../Images/MobiusTranformationModHome_gr_640.gif]

Therefore,   [Graphics:../Images/MobiusTranformationModHome_gr_641.gif].

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/MobiusTranformationModHome_gr_642.gif]


[Graphics:../Images/MobiusTranformationModHome_gr_643.gif]

[Graphics:../Images/MobiusTranformationModHome_gr_644.gif]


[Graphics:../Images/MobiusTranformationModHome_gr_645.gif]

[Graphics:../Images/MobiusTranformationModHome_gr_646.gif]





[Graphics:../Images/MobiusTranformationModHome_gr_647.gif]

[Graphics:../Images/MobiusTranformationModHome_gr_648.gif]


[Graphics:../Images/MobiusTranformationModHome_gr_649.gif]

[Graphics:../Images/MobiusTranformationModHome_gr_650.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 




This solution is complements of the
authors.



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



(c) 2008 John H. Mathews, Russell W. Howell