Example 9.14.  Solve  [Graphics:Images/ZTransformDEMod_gr_74.gif]   with  [Graphics:Images/ZTransformDEMod_gr_75.gif].  

[Graphics:Images/ZTransformDEMod_gr_76.gif]

Explore Solution 9.14.

    To solve  [Graphics:../Images/ZTransformDEMod_gr_87.gif]   with  [Graphics:../Images/ZTransformDEMod_gr_88.gif],  we will use our Mathematica subroutine  [Graphics:../Images/ZTransformDEMod_gr_89.gif]  for finding the solution to  [Graphics:../Images/ZTransformDEMod_gr_90.gif].  It will construct the characteristic polynomial and its roots.  The format of the subroutine call is   [Graphics:../Images/ZTransformDEMod_gr_91.gif]  with   [Graphics:../Images/ZTransformDEMod_gr_92.gif].

[Graphics:../Images/ZTransformDEMod_gr_93.gif]

[Graphics:../Images/ZTransformDEMod_gr_94.gif]

[Graphics:../Images/ZTransformDEMod_gr_95.gif]

[Graphics:../Images/ZTransformDEMod_gr_96.gif]

 

 

 

Use Mathematica to compare  [Graphics:../Images/ZTransformDEMod_gr_97.gif]  and  [Graphics:../Images/ZTransformDEMod_gr_98.gif].

[Graphics:../Images/ZTransformDEMod_gr_99.gif]

[Graphics:../Images/ZTransformDEMod_gr_100.gif]

[Graphics:../Images/ZTransformDEMod_gr_101.gif]

[Graphics:../Images/ZTransformDEMod_gr_102.gif]

[Graphics:../Images/ZTransformDEMod_gr_103.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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