%Replicate in Matlab the computations performed in Problem 4 of Workshop 1.
%0
%Define:
%
A = eye(6);
f = [1, 1, 1, 1, 1, 2];
BarA = A + f*f
%should give
%
%BarA =
%
% 2 1 1 1 1 2
% 1 2 1 1 1 2
% 1 1 2 1 1 2
% 1 1 1 2 1 2
% 1 1 1 1 2 2
% 2 2 2 2 2 5
%
%Compute the inverse of BarA:
S = 1 + f * f;
InvBarA = A f * 1./S * f;
%Define:
b = [12, 10, 10, 10, 10, 19];
%and compute:
x = InvBarA * b
%which should give
%
%x =
%
%3.0000
%1.0000
%1.0000
%1.0000
%1.0000
%1.0000
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