Patriarchal homes versus Matriarchal homes

I guess that I always knew who was in charge in our family- my father. Some people grow up in homes where the mother holds court and reigns supreme, while others like me grow up in homes where the father rules the roost. I wonder what the experts say about kids who grow up in matriarchal homes as opposed to patriarchal homes. I wish that my girls could grow up in an egalitarian home, but I know that it is not realistic. Interestingly, my husband comes from a matriarchal home. Does that mean we are well-suited for each other? If anybody has any insights, please feel free to share them with me.