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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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Configurations of signs in a matrix under certain conditions

I have a combinatorial question which is out of my research area. Given a $2^k\times 2^k$ matrix $A=[a_{i,j}]$ with entries in $\lbrace0,\pm1\rbrace$, where $k$ is a positive integer. Is it possible …
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Configurations of signs in a matrix under certain conditions

Thank you user21478 and Yemon for your answer/comments. Actually, I observed quite easily that the "nonzero-sharing condition" is not compatible with the condition (1) for a large $k$. Proof. For simp …
Masayoshi Kaneda's user avatar