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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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Why is fast matrix multiplication impractical?
Any polynomial time algorithm for multiplying $n$-by-$n$ matrices together which is stable in the sense described above must use at least $n^3$ multiplications. This is the relevant reference:
W. …