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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 does a multiplicative subset of matrices have positive trace?

Let $A_1, A_2,..., A_m$ be a collection of real $n \times n$ matrices. … that irreducible characters evaluated on certain elements of $\mathbb{C}[\mathfrak{S}_n]$ are non-negative by showing that the corresponding elements of the irreducible representation can be written as matrices