Recent content by HarryHumpo

Looking at the trace it seems so obvious now, thank you!

The hint that was given was to prove that ST^n-T^nS = nT^n-1 (which I did) and see how it bring about a contradiction, but I don't see how the second part works.

Homework Statement Let V = F^n for some n ≥ 1. Show that there do not exist linear maps S, T : V → V such that ST − T S = I. The Attempt at a Solution I used induction to prove that ST^n-T^nS = nT^n-1 and that S^nT-TS^n=nS^n-1, and I know I'm supposed to use that to come up with a...

So I'm a Canadian student currently in Terminale in a French Baccalaureate school (french equivalent of grade 12), and I was hoping some of you could help me out with some questions I've got. In Canada, I'm applying to Waterloo and McGill in their mathematics/physics programs. McGill is a 3...