Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Determinantal Identity for the Permanent of a Rank 2 Matrix   We prove an identity relating the permanent of a rank $2$ matrix and the
determinants of its Hadamard powers. When viewed in the right way, the
resulting formula looks strikingly similar to an identity of Carlitz and
Levine, suggesting the possibility that these are actually special cases of
some more general identity (or class of identities) connecting permanents and
determinants. The proof combines some basic facts from the theory of symmetric
functions with an application of a famous theorem of Binet and Cauchy in linear
algebra.

7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph