Question: how to multiply parametric matrix in a vector of partial differential equations ?

hi

im beginner in maple, i have a parametric matrix that i want to muliply it in a vector of differential equations like below.

i have functions like thees;

u(x,y,z)=u0(x,y)+z*u1(x,y)

v(x,y,z)=v0(x,y)+z*v1(x,y)

matrix:  A=[a,b;c,d]

vector : b = [du/dx, dv/dy]

now i want to do like this:

C=A.B

but i dont know how to do this.

 

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