According to Matthew, whom will Jesus as King rule over?
Matthew presents Jesus as the King, whose genealogy traces back to Abraham because the coming King is promised in the Abrahamic Covenant. As King, He will rule and reign not only over the nation of Israel but over the whole world.
Les explains that Matthew's Gospel presents Christ as the King, which is why its genealogy goes back only to Abraham and not to Adam. The whole concept of a coming King comes out of the Abrahamic Covenant. This King is the One who will rule and reign not only the nation of Israel but the whole world. In contrast, Luke's genealogy goes back to Adam because Luke presents Christ as the Son of Man.