Thanks for the reply acer, I understand the 1) and 3) (I can't believe I missed the first one! I had something similar earlier), but I'm having problems with 2). Like in 1), I'd like for it to work for generic n, so I can't input the values of the vector directly. So when I have my arbitrary n-vector y = [n linear combination of x's], and having already defined my n-vector x = [x1,..., xn], I tried LinearAlgebra[GenerateMatrix](y,x); But Maple gave me an error: Error, (in LinearAlgebra:-GenerateMatrix) invalid input: LinearAlgebra:-GenerateMatrix expects its 1st argument, eqns, to be of type {list({algebraic, =}), set({algebraic, =})} but received Vector(2, [...], datatype = anything) Also, I noticed that the output will be: Matrix, Vector, how can I take just that Matrix so I can use it in further calculations? Thanks.