Definition:Irreducible Logical Matrix

Definition
Let $\mathbf A = \sqbrk a_k$ be a logical matrix.

$\mathbf A$ is irreducible :
 * $\forall i, j \in \closedint 1 k : \exists n \in \Z_{>0}$: element $\tuple {i, j}$ of $\mathbf A^n$ is strictly positive

where $\mathbf A^n$ denotes the $n$th power of $\mathbf A$.