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//Eg-3.8
//pg-87
clear
clc
//checking whether cholesky decomposition can be performed on a matrix
A=[1 0.5 0;.5 1 0.5;0 .5 1];
if A==A' then
printf('The matrix A is symmetric and we have to check whether it is positive definite or not.\n')
end
for k=1:3
s(k)=det(A(1:k,1:k));
end
j=min(s);
if j>0 then
printf('\n Given matrix is positive definite and hence cholesky decomposition can be performed\n')
end
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