When does a space of endomorphisms contain invertibles? – mathoverflow.net

When does a space of endomorphisms contain invertibles? – mathoverflow.net

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Let $V$ be a finite-dimensional vector space over a field $K$. Let $U$ be a linear subspace of $\mathrm{End}(V)$. Write $UV$ for the span of all $Av$ where $A\in U$ and $v\in V$. Suppose that $$ ...

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