One of my friends asked me to ask this question here. This is a question from his last exam:
Let $ASL_n(F)=\{T_{A,v}:V_n(F)\to V_n(F)\mid\exists A\in SL_n(F), \exists v\in V_n(F), T_{A,v}(x)=Ax+v\}$ where $V_n(F)$ is a vector space of dimension $n$ over a field $F$. How can one show that $ASL_n(F)$ acts $2$-transitively on $V_n(F)$?
This is what he remembered and also something might be missing at the body of the question. Thanks for any hints!