Where does the death of Antinous in The Odyssey take place?

The death of Antinous takes place in Ithaca, inside of Odysseus's palace.  Odysseus asks Eurycleia to close all the doors to the palace, while the suitors make fun of Odysseus, still disguised as an old beggar, as he handles his old bow.  None of the suitors have been able to so much as string the bow, let alone shoot it with the accuracy demanded by the trial.  Odysseus strings it with ease, quieting the suitors, and then shoots an arrow through the twelve axe handles.  Odysseus leaps up, throwing off his ragged clothes, says a quick prayer to Apollo, and aims his arrow at and shoots Antinous directly in the throat.  He is actually the first suitor Odysseus kills because he has, certainly, been the one who caused the most offense and is the leader of the noble youths of Ithaca.