Probabily is an easy question but I have no references for it.
Let we consider a bounded, convex polytope $P$ in the space $\mathbb{R}^n$. Assuming we know the coordinates of its vertices $v_1 , \dots , v_k$, is there an easy way to compute the volume of $P$?
In the case one of these vertices is the origin, is the calculation any simpler?
What about if the vertices are exactly $n+1$?
Thank you in advance.