Conditions for factorable matrices to be hyponormal and dominant

Sufficient conditions are given for a lower triangular factorable matrix $M$, acting as a bounded linear operator on $\ell^2$, to be hyponormal. Necessary conditions are given for $M$ to be a dominant operator on $\ell^2$. The results are then applied to several examples, including the H-J Cesàro operators, the q-Cesàro operators and other weighted mean matrices, and some Toeplitz matrices.