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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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Unimodular eigenvalue of a H-self-adjoint matrix (indefinite innerproduct)
The case of $H$-unitary matrices is interesting because it generalizes some properties of standard unitary matrices. … In particular, whereas standard unitary matrices have all their eigenvalues on the unit circle, the spectrum of $H$-unitary matrices is merely symmetric with respect to the unit circle, that is, if $A$ …
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Significance of the length of the Perron eigenvector
$$
Are there matrices $A$ for which this ratio is arbitrarily large? Arbitrarily small? Does this ratio determine any properties of $A$? …