My EEEPc 900HA has been experiencing this exact problem: http://wiki.eeeuser.com/bugfixes:fixbios
And it is not responding to any of the suggested fixes (except the one about jumping the jumpers, which I cannot see on the 900HA).
No experience with a EEEpc, but I will diagnose like a regular laptop.
General power on but nothing loading, no beeps or anything else usually means faulty/currupt bios or hardware failure in general.
Have you changed any hardware recently or tried flashing your bios? Generally I find that on most laptops, rather than having beep codes, they just fail to start. If this was me, I would try reseating the memory, and also making sure the hard drive is firmly in (a few times I have seen it come slightly out the sockets)
If this does not help, This sort of problem should not randomly occur and the cause of it, unless known, is more than likely to happen again. If it is still in warranty, I would take it back / have it repaired.
hit f2 - bios