I'm a little stuck with this exercise, it is a true or false question. Let V be a finite vectorial space under a field $\mathbb{F}$ and let $T: V \to V$ be a linear operator, then $\det(T)=\det(T^*)$ where $T^*$ is the dual of T.
I think this is a true statement but I do not know how to prove it.
Any suggestion?