OK, it looked like the RAM that came with the machine was at fault, and the new RAM I bought (from the same company) was fine and dandy, no crashes for a full day.
And then…
Now, when I hit the power button, I get a green power light, hear the drives spin up, and that’s it. No BIOS info on the monitor, nothing. Hell, the monitor is not registering a video signal from the machine at all. Six months old, still haven’t paid for it yet, and the machine appears to be a paperweight. Oh, I don’t think so.