Actually the matrilineal Nair which has been romanticised in many a film has its roots in patriarchy.The Nair men were warriors who led dangerous and uncertain lives.
The movement grew as a reaction to perceptions of predominant organized religion as male-dominated, and makes use of goddess worship and a focus on gender and femininity.
In patrilineal societies it passed from father to son.
But in the matrilineal joint families of Kerala, patriarchs — not matriarchs — actually ruled the roost.
Kate Millett's Sexual Politics (New York, 1970) argued that patriarchy, with "God on its side," ideologically exaggerates male and female difference in the interests of maintaining roles that produce male dominance and female subordination.
Marilyn French, in Beyond Power: On Women, Men, and Morals (New York, 1985), also cast patriarchy as the paradigmatic social oppression that produces all others.