Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The determinant of the second additive compound of a square matrix: a
  formula and applications   A formula is presented for the determinant of the second additive compound of
a square matrix in terms of coefficients of its characteristic polynomial. This
formula can be used to make claims about the eigenvalues of polynomial
matrices, with sign patterns as an important special case. A number of
corollaries and applications of this formula are given.

6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat