Example 2. Given  [Graphics:Images/LUfactorMod_gr_15.gif].  Find matrices L and U so that LU = A.  
Solution 2.

[Graphics:../Images/LUfactorMod_gr_16.gif]

Use the LandU subroutine and construct matrices L and U so that LU = A.

[Graphics:../Images/LUfactorMod_gr_17.gif]
[Graphics:../Images/LUfactorMod_gr_18.gif] [Graphics:../Images/LUfactorMod_gr_19.gif] [Graphics:../Images/LUfactorMod_gr_20.gif] [Graphics:../Images/LUfactorMod_gr_21.gif] [Graphics:../Images/LUfactorMod_gr_22.gif] [Graphics:../Images/LUfactorMod_gr_23.gif] [Graphics:../Images/LUfactorMod_gr_24.gif]

Does  L.U = A ?  

[Graphics:../Images/LUfactorMod_gr_25.gif]
[Graphics:../Images/LUfactorMod_gr_26.gif] [Graphics:../Images/LUfactorMod_gr_27.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003