Hi everybody!

I am trying to find explicitely the relations between the columns of a matrix

of non-maximal rank. For example, if I have the matrix

M := Matrix([<1,2,3>, <2,4,6>, <5,6,7>]);

I would like that Maple finds that the second column is twice the first one: v_2 = 2*v_1.

How can I do?

Hi all,

I am trying to do some calculation using Maple. I have different expressions containing some power of y. I would like that Maple automatically substitutes y^4 = f(y), in each one of these. So for example, if my expression contains y^5, I want it substituted by y * f(y), and so on. How can I do?

I am fairly new to Maple and cannot figure this out.

I'm having some trouble in computing formally the derivatives of
some composite functions

h:= x -> f(g(x)),

imposing conditions on the unknown functions f and g.

For example, I cannot find a way to impose g'(0)=0,
such that the computation of

h'(0)

simply gives 0.

Thank you in advance!