Example 2. Use the Gaussian elimination methods to solve  [Graphics:Images/PivotingMod_gr_101.gif].  Use the trivial, partial scaled partial and total pivoting strategies.
Solution 2.

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

[Graphics:../Images/PivotingMod_gr_102.gif]

[Graphics:../Images/PivotingMod_gr_103.gif]

 

 

Perform Gaussian elimination using the various pivoting strategies.

 

 

[Graphics:../Images/PivotingMod_gr_104.gif]

[Graphics:../Images/PivotingMod_gr_105.gif]

[Graphics:../Images/PivotingMod_gr_106.gif]

[Graphics:../Images/PivotingMod_gr_107.gif]

 

 

[Graphics:../Images/PivotingMod_gr_108.gif]

[Graphics:../Images/PivotingMod_gr_109.gif]

[Graphics:../Images/PivotingMod_gr_110.gif]

[Graphics:../Images/PivotingMod_gr_111.gif]

[Graphics:../Images/PivotingMod_gr_112.gif]

[Graphics:../Images/PivotingMod_gr_113.gif]

 

 

[Graphics:../Images/PivotingMod_gr_114.gif]

[Graphics:../Images/PivotingMod_gr_115.gif]

[Graphics:../Images/PivotingMod_gr_116.gif]

[Graphics:../Images/PivotingMod_gr_117.gif]

[Graphics:../Images/PivotingMod_gr_118.gif]

[Graphics:../Images/PivotingMod_gr_119.gif]

 

 

[Graphics:../Images/PivotingMod_gr_120.gif]

[Graphics:../Images/PivotingMod_gr_121.gif]

[Graphics:../Images/PivotingMod_gr_122.gif]

[Graphics:../Images/PivotingMod_gr_123.gif]

[Graphics:../Images/PivotingMod_gr_124.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005