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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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Does this idea give an algorithm for constructing Hadamard matrices?
Fedor Petrov's answer of my preceding question shows that my question reduces to the famous Hadamard conjecture about Hadamard matrices of order $4k$. … Thus
$$AA^T=4I_{4n-4},\quad H_{4n-4}A+AB=0,\quad A^T A+B^2=4n I_4.$$
Question: Does this idea give an algorithm for constructing Hadamard matrices? …
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Status of Hadamard matrix conjecture
According to Wikipedia (last edited on 31 March 2017, at 03:48.) the Hadamard conjecture is open still.