Es240_test2_solution_1_fall10-3

Es240_test2_solution_1_fall10-3 - % ES 240 % Fall 2010 %...

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Unformatted text preview: % ES 240 % Fall 2010 % Test 2 %Obtain a blank slate clear all; close all; clc; %a) In Matlab, create the coefficient and right hand matrices (display on the command window) disp ('1A') A=[16 -5 0 0; -5 15 -1 0; 0 -1 11 -5; 0 0 -5 15] B = [0;0;0;-10] %Let user digest solution pause %b) Determine the values of i1, i3, i3, i4 using Matlabs back divide method disp ('1B') Mat_Soln = A\B %Let user digest solution pause %c) Determine the values of i1, i3, i3, i4 using Gaussian Elimination (step by step using colon operations) disp ('1C') %Combine the Coefficient and RHS AB = [A B] %Carryout forward elimination AB(2,:) = AB(2,:) - AB(2,1)/AB(1,1)*AB(1,:) AB(3,:) = AB(3,:) - AB(3,1)/AB(1,1)*AB(1,:) AB(3,:) = AB(3,:) - AB(3,2)/AB(2,2)*AB(2,:) AB(4,:) = AB(4,:) - AB(4,1)/AB(1,1)*AB(1,:) AB(4,:) = AB(4,:) - AB(4,2)/AB(2,2)*AB(2,:) AB(4,:) = AB(4,:) - AB(4,3)/AB(3,3)*AB(3,:) %Carryout forward elimination x(4) = AB(4,5)/AB(4,4) x(3) = (AB(3,5)-AB(3,4)*x(4))/AB(3,3) x(2) = (AB(2,5) - AB(2,4)*x(4) - AB(2,3)*x(3))/AB(2,2) x(1) = (AB(1,5) - AB(1,4)*x(4) - AB(1,3)*x(3) - AB(1,2)*x(2))/AB(1,1) %Let user digest solution pause %d) Determine the values of i1, i3, i3, i4 using the Gauss Jordan Method (step by step using colon operations) disp('1D') %Combine coefficient and RHS again since it was modified from previous AB = [A B] %pivot around first column %but first normalize diagonal entry (make it 1) AB(1,:) = AB(1,:)/AB(1,1) %now make other entries zero AB(1,:) = AB(1,:) / AB(1,1) AB(2,:) = AB(2,:) - AB(2,1)*AB(1,:) AB(3,:) = AB(3,:) - AB(3,1)*AB(1,:)...
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This note was uploaded on 09/04/2011 for the course ENGINEERIN 240 taught by Professor Druche during the Spring '11 term at Montgomery College.

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Es240_test2_solution_1_fall10-3 - % ES 240 % Fall 2010 %...

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