A = [1 1 0 ; 0 1 1];
[U,S,V] = svd(A);

B = [1 2 ; 3 6];
[U,S,V] = svd(B);

phi = pi/4;
C = [cos(phi) 0 -sin(phi) ; 0 1 0 ; sin(phi) 0 cos(phi)];
[U,S,V] = svd(C);
