Given two 3*3 matrices A and B, each of which is also a vector field, that is,

each entry of A or B is a vector. For example,

A=$\displaystyle \begin{bmatrix} (1,2) & (1,3) & (2,5) \\ (2,2) & (3,2) & (4,2) \\ (2,4) & (2,1) & (3,5) \end{bmatrix}$

Does anybody know how to calculate the multiplication of A and B?

Thanks!