Yes.
The "noncommercial purposes" is a common misunderstanding of the concept of "fair use". Broadcasting or redistributing even without commercial gain is still depriving the content creator of their copyrights and any financial gain they may earn for the content.
Just posting up the clip in its entirety doesn't come close to the fair use sniff test. It isn't a portion, it was the whole thing, there's no analysis or educational use, and it deprives the owner of revenue as people will wait to watch it on Youtube instead of TV. That deprives the show of ratings, and low ratings yields low ad rates.
All those torrent TV shows? All copyright violations by the distributors of the files, each and every one. Unless the show was explicitly placed in the public domain, any creative work is copyrighted by default by the creator at the moment of its creation. That is an artifact of the US being a signatory to the Berne Convention. Plain broadcasting something doesn't put it in the public domain.
http://en.wikipedia.org/wiki/Fair_use
--Carlos V.