Why does Odysseus kill the suitors?

Odysseus fought and killed the suitors because they were courting his wife, Penelope. They dared to court the wife of a man who was still alive, and who had fought bravely for his country. Some of them did not even care much for Penelope but simply wanted the title of King of Ithaca.

They also impoverished his home by abusing his family's hospitality. In Mycenaean Greece, might made right, and Odysseus was right.