//Example 2.25
clc;
x1=[1,1,1,1]
x2=[2,2,2,2]
a=1
b=1
for n=1:length(x1)
    x3(n)=a*x1(n)+b*x2(n)
end
for n=1:length(x1)
        y1(n)=x1(n)^2
        y2(n)=x2(n)^2
        y3(n)=x3(n)^2
end
for n=1:length(y1)
    z(n)=a*y1(n)+b*y2(n)
end
count=0
for n=1:length(y1)
    if(y3(n)==z(n))
        count=count+1;
     end   
end
if(count==length(y3))
disp('It satisfy the superposition principle');
disp('THE GIVEN SYSTEM IS LINEAR ');
else
    disp('It does not satisfy superposition principle ');
    disp('THE GIVEN SYSTEM IS NON LINEAR');
end