You have a multiuser installation of rvm – this is not recommended because of the troubles you can get with it (like yours).
Since you are already there this should fix it:
rvmsudo rvm get stable --auto-dotfiles
rvm fix-permissions system
Also make sure you are in rvm group – if not add yourself:
rvm group add rvm $USER
and log in to a new shell (log out and log back in).