Welcome to Seven Forums AdiSeven123
You are using Windows 7 Home Premium. You are able to connect
to machines running Windows 7 Pro, Ultimate or Enterprise. This post has been edited - Home Premium not capable of establishing RDP session - please refer to the following post
To establish a Remote Desktop Connection you are correct, you can use either the
full computer name or the IP address of the machine.
Both machines need to be set so as to allow remote desktop connections:
Click the Start button
Right Click computer
Left pane click remote settings
Check the box for remote assistance and the radio button for "Allow connections from computers running any version of Remote Desktop
Add the users you require
Both machines need to be configured to allow this connection
and the connection obviously can't be made if the computer is
in sleep mode or hibernate.
I thought a Linux user would have found this quite simple
Anyways - Hope this helps
Further note: You may need to see your system administrator to
attain access approval.