Let R be a differential ring and let y1, y2, ..., yn be elements of R. The wronskian matrix of y1, y2, ..., yn is defined as the n x n matrix
The wronskian determinant, or simply the wronskian, of y1, y2, ..., yn is the determinant of the wronskian matrix W(y1, y2, ..., yn).
Given a sequence of differential ring elements L, return the Wronskian matrix of L whose entries are elements of the universe of L.
Given a sequence of differential ring elements L, return the determinant of the Wronskian matrix of L as well as the matrix itself.
> F<z> := RationalDifferentialField(Rationals()); > WronskianMatrix([1,z,z^2]); [1 z z^2] [0 1 2*z] [0 0 2] > WronskianDeterminant([1,z^2,1/z]); 6/z [z z^2 1/z] [1 2*z -1/z^2] [0 2 2/z^3]