5:20 AM
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Let $A\in\mathbb{M}_n(K)$. What are the possible values of $$\text{rank}(A+\text{adj}(A))?$$ (Since this question was not in here and its answer needs some thinking, I'm adding it in a Q&A style)
This discussion on meta is somewhat related. (I am not sure whether or not there were other discussions of a tag for this topic.)
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