What is difference between patriarchal and matriarchal family?

Patriarch - father. Matriarch - mother. Let's give an example: John and Betty are the parents of Mitch Longley. Mitch's patriarchal family consists of family members on his father's side. Mitch's matriarchal family are the family members from his mother's side.

In another sense, a patriarchal family is ruled by the father-husband who makes all the decisions and whose authority is not questioned. A matriarchal family is ruled by the mother-wife who makes all the decisions and whose authority is not questioned.