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+//page 9

+//Example 1.6

+clear;

+close;

+clc;

+a=[-1 %i;-%i 3;1 2];

+disp(a,'a = ');

+disp('Applying row transformations:');

+disp('R1 = R1+R3 and R2 = R2 + i *R3');

+a(1,:) = a(1,:) +a(3,:);

+a(2,:) = a(2,:) + %i * a(3,:);

+disp(a,'a = ');

+disp('R1 = R1 * (1/2+i)');

+a(1,:) = 1/(2 + %i) * a(1,:);

+disp(a,'a = ');

+disp('R2 = R2-R1*(3+2i) and R3 = R3 - 2 *R1');

+a(2,:) = round(a(2,:) - (3 + 2 * %i) * a(1,:));

+a(3,:) = round(a(3,:) - 2 * a(1,:));

+disp(a,'a = ');

+disp('Thus the system of equations is:');

+disp('x1 + 2*x2 = 0','-i*x1 + 3*x2 = 0','-x1+i*x2 = 0');

+disp('It has only trivial solution x1 = x2 = 0');

+//end