Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary and orthogonal equivalence of sets of matrices   Two matrices $A$ and $B$ are called unitary (resp. orthogonal) equivalent if
$AU=VB$ for two unitary (resp. orthogonal) matrices $U$ and $V$. Using trace
identities, criteria are given for simultaneous unitary, orthogonal or complex
orthogonal equivalence between two sets of matrices.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an