I need a function  that computes the rank of a polynomial matrix over complex numbers. For example, for polys := [[x^2, 0, 0], [x^2, y^2, 0], [x^5, 0, 0]] I want to get an answer Rank(Matrix(polys))=3 and for polys := [[x^2, 0, 0], [0, y^2, 0], [x^2, y^2, 0]] I want to get 2. However, usual Rank from Linear algebra package gives wrong answers.
Does such a function exist in Maple?

I need to extract the list of all powers present in multivariable polynomial. For example, for x+y+x^2y^2+y^d I want to get the list [(1,0),(0,1),(2,2),(0,d)]. How to perform this?