I'm using a $n\times m$ matrix $A$ defined over $\mathbb{N}^0$ to construct a $n\times m$ matrix $B$ such that $b_{ij} = x^{a_{ij}}$, for an indeterminate $x$. My questions are:
- Are these $B$ matrices known or studied in any field of mathematics. If so, can anyone point me to where I can learn more about it?
- In specific, I'm looking to see if we can say anything in general about $det(B)$ that we cannot say about $det(A)$?