Write some equations as product between function-matrix and constant-matrix

Hi,

Is there some matlab command to collect functions and constant as two matrices or a matrix and a vector respectively. In other words, for example, if I have this symbolic system of equations:

m*x^2 + n*y = z1
b*x + c*y^2 = z2

Is there a way to getout, automatically, the system as product

Z = X*k

where X is a matrix of only function terms, not constant, at most 0 and k is a matrix (or a vector) of (and only) constants such that:

Z = [z1; z2];

I don't mind size of X and k

[Walter Roberson]

Something like coeffs() ?

[Marco]

Yes! I'll try to make it to rearrange like matrix product

Thanks

Answer 1

[Azzi Abdelmalek]

 K*X=Z

%with:

 K=[0 m n 0;b 0 0 c]

 X=[x;x^2;y;y^2]

 Z=[z1;z2]

[Marco]

ok...but I need it to be automatic

[Azzi Abdelmalek]

automatic ? how ?

[Walter Roberson]

Marco wants to be able to input the symbolic expressions and have the matrices output.

[Marco]

exactly!