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Number of distinct rows and columns in a matrix with bounded number of entries
How many distinct rows and columns a real square matrix can have (at least in symmetric case) such that rank of matrix is $r$ and entries:
are from $\{-b,-b+1,\dots,0,\dots,b-1,b\}$?
are from $\{-b,-...
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An analogue of Hermitian matrix - does it exist?
Let $k$ be any field and $R\subseteq M_s(k)$ be a subring of $s\times s$ matrices over $k$. Identify $k$ with the scalar matrices, so that $k\subseteq R$. Let $A\in M_n(R)$ be an $n\times n$ matrix.
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