I've got SQL Server Management Studio 2016, Visual Studio 2015, and SQL Server Data Tools installed on my computer. I'm told that all I need in order for localdb\projectsv12 to show up as an option of database engines to connect to in SSMS is to install Visual Studio and SQL Server Data Tools. I have those installed, but when I launch SSMS and go to select my server name, it only shows .\SQLEXPRESS. If I select I don't see localdb\projectsv12 under Database Engine or anywhere else.
What do I have to do to get localdb\projectsv12 to show up in SSMS as a database engine I can connect to?