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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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When powers of matrices are represented as a sum of integral matrices

Someone said, that if $A^m$ for $m=1,...,n$ can be represented as a sum of matrices over $R$ which a integral over $K$, than $A$ is integral over $K$. Why is that? …