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Let $S$ be a finite set of $n \times n$-matrices over a field $K$ (lets say finite or the real or complex field).
Is it possible to obtain the $K$-algebra (or at least its vector space dimension) of $n \times n$-matrices X in Sage with $XY=YX$ for all $Y \in S$?
Let $S$ be a finite set of $n \times n$-matrices over a field $K$ (lets say finite or the real or complex field).
Is it possible to obtain the $K$-algebra (or at least its vector space dimension) of $n \times n$-matrices X in Sage with $XY=YX$ for all $Y \in S$?
(I can only think of a way for doing this for finite field with very small $n$ by looking at all elements,but maybe there is a better technique in Sage)
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