Example 5 (b).  Find the inner product of   [Graphics:Images/LegendrePolyMod_gr_205.gif]  and  [Graphics:Images/LegendrePolyMod_gr_206.gif]  over [Graphics:Images/LegendrePolyMod_gr_207.gif].   

Solution 5 (b).

[Graphics:../Images/LegendrePolyMod_gr_215.gif]



[Graphics:../Images/LegendrePolyMod_gr_216.gif]

 

 

 

The details of this computation.

[Graphics:../Images/LegendrePolyMod_gr_217.gif]



[Graphics:../Images/LegendrePolyMod_gr_218.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005