Questions tagged [gershgorin-sets]

Questions about gershgorin-sets, gershgorin-disks, gershgorin circle theorem, brauer-cassini-ovals, brauer-sets, brualdi-sets, pupkov-solov-sets

Questions about Gershgorin sets, Gershgorin disks, Gershgorin circle theorem, Brauer-Cassini ovals, Brauer sets, Brualdi sets, Pupkov-Solov sets.

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Let $S$ be a set with $|S|=n$. So how many subsets $A$ of$ S\times S$ are there with the property that $(a,a)\in A$ $\forall a\in S$

So this is my assignment about subsets.I am absolutely no where with this because i don't have clear idea about subsets.Any kind of help would be appreciated.