that Linux guy wrote:
\SysAdmins, or better known as Network Administrators, are the ones creating, expanding and maintaining networks, small and large. They're often a jack of all trades kind of guy (or gal), who can manage your corporate network, help users print from Word, do some pen-testing, as well as crank out a bit of code when needed (though it's not usually necessary).
Your advice was really good until this point. A system administrator is not a network administrator. Sometimes, the titles get confused by HR weenies, but the industry in general does differentiate between the two.
A network administrator is in charge of the network and particularly the infrastructure, hardware, and architecture. They deal with the switches, routers, and the actual transmission of bits across the network.
A system administrator deals with the software that runs on the network. They handle the protocols, the apps that run on the network, the permissions and security of the network, and configure the software side of things.
Generally speaking (very generally), a network admin is more hardware and a sysadmin is more software. Since companies often mix the roles to reduce staffing, the terms are often confused.