Source : Webster's Revised Unabridged Dictionary (1913)

Matriarchate \Ma"tri*ar"chate\, n.
   The office or jurisdiction of a matriarch; a matriarchal form
   of government.

Source : WordNet®

matriarchate
     n : a form of social organization in which a female is the
         family head and title is traced through the female line
         [syn: {matriarchy}]