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//Eg-5.10
//pg-235
clear
clc
A=[1 0.5 .5;0.5 0.5 0;0.5 0 1];
z=[1;1;1];
for i=1:50
a=A*z;
b=(sum(a.^2))^.5;
z=a/b;
z0=z;
end
B=A-(b*z*z');
for i=1:50
c=B*z;
d=(sum(c.^2))^.5;
z=c/d;
z1=-z;
end
C=B-(d*z1*z1');
for i=1:50
e=C*z;
f=(sum(e.^2))^.5;
z=e/f;
z2=z;
end
disp("eigen values")
disp(b)
disp(d)
disp(f)
disp("corresponding eigen vectors")
disp(z0)
disp(z1)
disp(z2)
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