Example 2. Given  [Graphics:Images/LUFactorMod_gr_22.gif].  Find matrices L and U so that LU = A.  

Solution 2.

[Graphics:../Images/LUFactorMod_gr_23.gif]

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

[Graphics:../Images/LUFactorMod_gr_24.gif]




[Graphics:../Images/LUFactorMod_gr_25.gif]

[Graphics:../Images/LUFactorMod_gr_26.gif]

[Graphics:../Images/LUFactorMod_gr_27.gif]

[Graphics:../Images/LUFactorMod_gr_28.gif]

[Graphics:../Images/LUFactorMod_gr_29.gif]

[Graphics:../Images/LUFactorMod_gr_30.gif]

[Graphics:../Images/LUFactorMod_gr_31.gif]


Does  L.U = A ?  

[Graphics:../Images/LUFactorMod_gr_32.gif]



[Graphics:../Images/LUFactorMod_gr_33.gif]

[Graphics:../Images/LUFactorMod_gr_34.gif]

[Graphics:../Images/LUFactorMod_gr_35.gif]

[Graphics:../Images/LUFactorMod_gr_36.gif]

[Graphics:../Images/LUFactorMod_gr_37.gif]

[Graphics:../Images/LUFactorMod_gr_38.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004