Example 1.4. Given . 1.4 (a) We have and .
Explore Solution 1.4 (a).
(a) Compute .
(b) Compute .
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/ComplexAlgebraMod_gr_202.gif]](../Images/ComplexAlgebraMod_gr_202.gif){kind=small}
. ![[Graphics:Images/ComplexAlgebraMod_gr_203.gif]](../Images/ComplexAlgebraMod_gr_203.gif){kind=small}
and ![[Graphics:Images/ComplexAlgebraMod_gr_204.gif]](../Images/ComplexAlgebraMod_gr_204.gif){kind=small}
. . and . ![[Graphics:../Images/ComplexAlgebraMod_gr_209.gif]](../Images/ComplexAlgebraMod_gr_209.gif){kind=small}
. ![[Graphics:../Images/ComplexAlgebraMod_gr_210.gif]](../Images/ComplexAlgebraMod_gr_210.gif)
![[Graphics:../Images/ComplexAlgebraMod_gr_211.gif]](../Images/ComplexAlgebraMod_gr_211.gif)
![[Graphics:../Images/ComplexAlgebraMod_gr_214.gif]](../Images/ComplexAlgebraMod_gr_214.gif){kind=small}
. ![[Graphics:../Images/ComplexAlgebraMod_gr_212.gif]](../Images/ComplexAlgebraMod_gr_212.gif){kind=small}
![[Graphics:../Images/ComplexAlgebraMod_gr_213.gif]](../Images/ComplexAlgebraMod_gr_213.gif){kind=small}
![[Graphics:../Images/ComplexAlgebraMod_gr_215.gif]](../Images/ComplexAlgebraMod_gr_215.gif)
![[Graphics:../Images/ComplexAlgebraMod_gr_216.gif]](../Images/ComplexAlgebraMod_gr_216.gif)
![[Graphics:../Images/ComplexAlgebraMod_gr_217.gif]](../Images/ComplexAlgebraMod_gr_217.gif){kind=small}
![[Graphics:../Images/ComplexAlgebraMod_gr_218.gif]](../Images/ComplexAlgebraMod_gr_218.gif){kind=small}