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+//page 158

+//Example 5.6

+clc;

+clear;

+close;

+disp('Given Matrix:');

+A = [1 -1 2 3; 2 2 0 2; 4 1 -1 -1;1 2 3 0];

+disp(A,'A = ');

+disp('After, Subtracting muliples of row 1 from rows 2 3 4');

+disp('R2 = R2 - 2*R1');

+A(2,:) = A(2,:) - 2 * A(1,:);

+disp('R3 = R3 - 4*R1');

+A(3,:) = A(3,:) - 4 * A(1,:);

+disp('R4 = R4 - R1');

+A(4,:) = A(4,:) - A(1,:);

+disp(A,'A = ');

+T = A;                  //Temporary matrix to store A

+disp('We obtain the same determinant as before.');

+disp('Now, applying some more row transformations as:');

+disp('R3 = R3 - 5/4 * R2');

+T(3,:) = T(3,:) - 5/4 * T(2,:);

+disp('R4 = R4 - 3/4 * R2');

+T(4,:) = T(4,:) - 3/4 * T(2,:);

+B = T;

+disp('We get B as:');

+disp(B,'B = ');

+disp('Now,determinant of A and B will be same');

+disp(det(B),'det A = det B = '); 

+//end