
> 
> **Possible Duplicate:**  
> 
> [Deriving Inverse of Hilbert Matrix](https://mathoverflow.net/questions/47561/deriving-inverse-of-hilbert-matrix) 
> 
> 
> 


The inverse of the [Hilbert Matrix](http://en.wikipedia.org/wiki/Hilbert_matrix) is made up entirely of integer entries, but I can't seem to
find an elementary proof for that though, any hints?



Elementary proof that the Hilbert Matrix is invertible with integer entries
You can look at M.-D. Choi's paper 


<http://www.jstor.org/stable/pdfplus/2975779.pdf>


(American Math Monthly, 1983, "Tricks or Treats with the Hilbert Matrix") for this, and much more.


