There may be an issue with the sqllocaldb user database v11.0 during the install. The sqllocaldb logs would mention these files still existed and it would not erase them. You need to delete and recreate them.
- sqllocaldb stop v11.0
- sqllocaldb delete v11.0
- sqllocaldb create v11.0
Then re-install it. That should work.
Hope it helps!
If you need to know more about Azure, then you should join Azure cloud certification course today.