(of societies or families) having a female as the family head or having descent traced through the female line(adjective)
WordNet. Princeton University. 2010.
Use "matriarchic" in a sentence
"Synopsis: The life story of Akuin, a male member of the fur-covered Hwarhath species who foster a matriarchic society on-planet while the adult men work in space to defend against the inevitable and impending attack from humans."
"Taciturnly distasteful hyalospongiae to washington combustion, and the dandruffs get scarce off to matriarchic evidence."