Tuesday, March 01, 2005
22:32
Well, I think I understand what a linear functional is, at least in this context, but what I'm left with is a diagram that I need to commute and no way to say that the required map exists. What I've got are two automorphisms, A: V -> V, B: V -> V, and I need C: V -> V such that C(A(v)) = B(v) for all v in V. Obviously this isn't going to work without some kind of restriction on one of the existing maps. I'll have to consult with the professor. Meanwhile, I can turn in the rest of the assignment and go home.