Example 1.4.  Given  [Graphics:Images/ComplexAlgebraMod_gr_202.gif].   

1.4 (b)  We have   [Graphics:Images/ComplexAlgebraMod_gr_205.gif]    and    [Graphics:Images/ComplexAlgebraMod_gr_206.gif].  

Explore Solution 1.4 (b).

(a) Compute [Graphics:../Images/ComplexAlgebraMod_gr_219.gif].  

[Graphics:../Images/ComplexAlgebraMod_gr_220.gif]



[Graphics:../Images/ComplexAlgebraMod_gr_221.gif]

[Graphics:../Images/ComplexAlgebraMod_gr_222.gif]
[Graphics:../Images/ComplexAlgebraMod_gr_223.gif]

 

 

 

 


(b) Compute [Graphics:../Images/ComplexAlgebraMod_gr_224.gif].  

[Graphics:../Images/ComplexAlgebraMod_gr_225.gif]



[Graphics:../Images/ComplexAlgebraMod_gr_226.gif]

[Graphics:../Images/ComplexAlgebraMod_gr_227.gif]
[Graphics:../Images/ComplexAlgebraMod_gr_228.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell