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+//page 41

+//Example 2.13

+clear;

+clc;

+close;

+disp('S is the subset of F^n consisting of n vectors.');

+n = round(rand() *10 + 1);

+disp(n,'n = ');

+I = eye(n,n);

+for i = 0 : n-1

+    e = I(i+1,:);

+    printf('e%d = ',i+1);

+    disp(e);

+end

+disp('x1,x2,x3...xn are the scalars in F');

+disp('Putting a = x1*e1 + x2*e2 + x3*e3 + .... + xn*en');

+disp('So, a = (x1,x2,x3,...,xn)');

+disp('Therefore, e1,e2..,en span F^n');

+disp('a = 0 if x1 = x2 = x3 = .. = xn = 0');

+disp('So,e1,e2,e3,..,en are linearly independent.');

+disp('The set S = {e1,e2,..,en} is called standard basis of F^n');

+//end