I'm trying to solve for the following matrix X such that

B=X^T.A.X...i.e. B equals X transposed times A times X. A and B are known. and are square matrices. I've been messing aroundwith Maple, and I know it can do this, I just can't figure it out. Thanks.

A=[2    3]

     [1    4]

B=[1    0]

     [0    1]

I'm trying to get maple to fill in the area where x*z>y^2 and where x*z<y^2. I can get it to plot the graph of where x*z-y^2=0, but I can't get it to fill in the areas where the above conditions are met. Anybody have any ideas?

-Rich