Example 1 (a). Use the back-substitution method to solve the upper-triangular linear system  [Graphics:Images/BackSubstitutionMod_gr_46.gif], where [Graphics:Images/BackSubstitutionMod_gr_47.gif] and [Graphics:Images/BackSubstitutionMod_gr_48.gif].  

Solution 1 ( a)

Use the menu "Input" then submenu "Create Table/Matrix/Palette" to enter matrix A and vector B.

[Graphics:../Images/BackSubstitutionMod_gr_49.gif]

Then perform back-substitution.

 

[Graphics:../Images/BackSubstitutionMod_gr_50.gif]

[Graphics:../Images/BackSubstitutionMod_gr_51.gif]

Verify the solution.

[Graphics:../Images/BackSubstitutionMod_gr_52.gif]
[Graphics:../Images/BackSubstitutionMod_gr_53.gif] [Graphics:../Images/BackSubstitutionMod_gr_54.gif] [Graphics:../Images/BackSubstitutionMod_gr_55.gif] [Graphics:../Images/BackSubstitutionMod_gr_56.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003