. For each integer n 3 define the digraph Dr to be the digraph with...

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. For each integer n ≥ 3 define the digraph Dr to be the digraph with vertex-set V(Dn) = {1, 2,...,n} and arc-set A(Dn) = {(i,i+1)|1 ≤i<n} U {(n,1)}. Prove that (D₂)k In, the identity matrix of order n for all integers k > 0. = . For each integer n ≥ 3 define the digraph Dr to be the digraph with vertex-set V(Dn) = {1, 2,...,n} and arc-set A(Dn) = {(i,i+1)|1 ≤i<n} U {(n,1)}. Prove that (D₂)k In, the identity matrix of order n for all integers k > 0. =