Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Fremdervectors: Vectors Orthogonal to Their Images Under Linear
  Transformations   Geometrically, the eigenvectors of a square matrix $\mathbf{A}$ are not
rotated by $\mathbf{A}$. Here we consider vectors that are rotated $\pi/2$ by
$\mathbf{A}$; that is, vectors orthogonal to their images. We call these
vectors fremdervectors of $\mathbf{A}$ and discuss conditions for their
existence. We also define fremdervalues, scalars $z$ such that
$z\mathbf{I}-\mathbf{A}$ has a fremdervector, and discuss several known
applications for fremdervectors.

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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
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The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org