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Let $A \in {\cal C}^n$ be an extremal copositive matrix with unit diagonal.Then the minimal zeros of $A$ all have supports of cardinality two if and onlyif the elements of $A$ are all from the set $\{-1,0,1\}$. Thus the extremalcopositive matrices with minimal zero supports of cardinality two are exactlythose matrices which can be obtained by diagonal scaling from the extremal$\{-1,0,1\}$ unit diagonal matrices characterized by Hoffman and Pereira in1973.

Extremal copositive matrices with minimal zero supports of cardinality two