Example 1. Given . Find matrices L and U so that LU = A.
Solution 1.
Use the LandU subroutine and construct matrices L and U so that LU = A.
Does L.U = A ?
(c) John H. Mathews 2004
![[Graphics:Images/LUFactorMod_gr_8.gif]](../Images/LUFactorMod_gr_8.gif){kind=small}
. Find
matrices L and U so that LU =
A. . Find
matrices L and U so that LU =
A. ![[Graphics:../Images/LUFactorMod_gr_9.gif]](../Images/LUFactorMod_gr_9.gif)
![[Graphics:../Images/LUFactorMod_gr_10.gif]](../Images/LUFactorMod_gr_10.gif){kind=small}
![[Graphics:../Images/LUFactorMod_gr_11.gif]](../Images/LUFactorMod_gr_11.gif){kind=small}
![[Graphics:../Images/LUFactorMod_gr_12.gif]](../Images/LUFactorMod_gr_12.gif)
![[Graphics:../Images/LUFactorMod_gr_13.gif]](../Images/LUFactorMod_gr_13.gif)
![[Graphics:../Images/LUFactorMod_gr_14.gif]](../Images/LUFactorMod_gr_14.gif)
![[Graphics:../Images/LUFactorMod_gr_15.gif]](../Images/LUFactorMod_gr_15.gif)
![[Graphics:../Images/LUFactorMod_gr_16.gif]](../Images/LUFactorMod_gr_16.gif){kind=small}
![[Graphics:../Images/LUFactorMod_gr_17.gif]](../Images/LUFactorMod_gr_17.gif)
![[Graphics:../Images/LUFactorMod_gr_18.gif]](../Images/LUFactorMod_gr_18.gif)
![[Graphics:../Images/LUFactorMod_gr_19.gif]](../Images/LUFactorMod_gr_19.gif){kind=small}
![[Graphics:../Images/LUFactorMod_gr_20.gif]](../Images/LUFactorMod_gr_20.gif)
![[Graphics:../Images/LUFactorMod_gr_21.gif]](../Images/LUFactorMod_gr_21.gif){kind=small}