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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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Under what conditions there is a one-to-one mapping between a product of matrices and the se...

Basically the generators are digonal matrices and unipotent matrices (triangular with all 1's on diagonal). … Am I understanding the question right - you have a fixed set of $n$ matrices and want the (infinitely many) possible products to be distinct? …
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