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+//Example 6.8

+//Cholesky's Factorization

+//Page no. 243

+clc;clear;close;

+

+A=[1,2,3;2,5,8;3,8,22];

+U(2,1)=0;U(3,1)=0;U(3,2)=0;

+for i=1:3

+    for j=1:3

+        if(i==j)

+            k=0;

+            for m=1:i-1

+               k=k+U(m,i)^2; 

+            end

+            U(i,j)=sqrt(A(i,j)-k)

+        end

+        if(j>i)

+            k=0;

+            for m=1:i-1

+                k=k+U(m,j)*U(m,i);

+            end

+            U(i,j)=(A(i,j)-k)/U(i,i)

+        end

+    end

+end

+disp(U,'Required Matrix (U)=')
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