The head of the family is the father. In God’s wisdom he has given each family one head. After all, anything with two heads is a monster!
But this is not a privilege as much as it is a responsibility! The hardest thing a man can ever do is to be a good husband and a good father to his children.
Eli could run the tabernacle but could not bring his sons into order (1 Sam 3:13).
David could run a kingdom but could not control his own children (1 Kings 1:5-6).