kill(all)$

van=facebook.com/LearningCalculus$

M(theta):=matrix
(
    [cos(theta),-sin(theta)],
    [sin(theta), cos(theta)]
);

F(T,b):=matrix([T],[abs(T)+b]);

G(T,b):=matrix([T],[b-1]);

M(theta).G(T,b);

M(theta).F(T,b);

M(theta).F(0,b);

M(0).F(T,b);

M(-%pi/2).F(T,b);

curve:M(theta).F(T,b);

first(first(curve));

first(second(curve));

equations:[first(first(curve)),first(second(curve))];

h[i,j]:=j*sqrt(abs(x))^(i);

M:genmatrix(h,3,3)$