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+//Eg-3.3
+//pg-71
+
+clear
+clc
+
+// Matrix dimensions for a 3*3 coefficient matrix
+ n=3;
+
+ //First pass
+ k=0;
+
+ //Number of divisions per pass i.e for a particular value of 'k'
+ ndiv=n-k-1;
+
+ //Number of multiplications
+ nmul=(n-k)*(n-k-1);
+
+ //Total number of multiplications and divisions
+ ntot=nmul+ndiv;
+
+ //Displaying result
+disp("total number of divisions and multiplications from formulae derived")
+disp(ntot)
+
+//Verifying result from example 3.2 by taking k=1(first pass)
+// Matrices A and B (AX=B)
+ a=[1 1 -1;1 2 -2;-2 1 1];
+ [n,n]=size(a);
+ b=[1;0;1];
+
+ //Augumented matrix of A and B
+ auga=[a b];
+
+ //initialising nm(no of multiplications),nd(no. of divisions)
+nd=0;
+nm=0;
+
+ //Forward elimination
+ for k=1//only first pass is considered
+ for i=(k+1):n
+ factr=auga(i,k)/auga(k,k);
+ nd=nd+1;
+ auga(i,:)=auga(i,:)-factr*auga(k,:);
+ nm=nm+3;//since each row has 3 elements of A,hence 3 multiplications
+ end
+ end
+
+ //Total number of divisions and multiplications
+ nt=nd+nm;
+
+ //Verifying result
+ disp("total number of divisions and multiplications from code of example 3.2")
+ disp(nt)
+ disp("both are same") \ No newline at end of file