## How to compute the volume of a region transformed by a matrix?

This is a rewrite of the OP’s question to emphasize what I think are the research level issues here. Let R be a bounded convex body in Rn and let H:Rn→Rr be a surjective linear map for r<n. How can we compute the volume of H(R)? Of course, the answer to this question will depend … Read more