Eh? Matrix is heavily supported by Element (nee Vector), which operates development on the workhorse "home server" implementation, Synapse, and its hoped-to-be successor, Dendrite, and operates a business providing cloudy private homeservers.
I'm pretty sure the developers of Element are sponsoring matrix and also running servers as business. So it's not entirely non profit, though it's definitely open source and there's no limited 'community edition' :)