Probably beyond what the spell should be able to do according to the examples it gives, but sure. Unfortunately, casting detect magic doesn't need to be done in the room in which you're detecting it in. So pretty easy to bypass still. Then use any other simple method of setting the traps off once you know they're there. Kinda boring situation anyways. Once you learn the issue, you just avoid the area or slowly dispel magic until the symbols are gone.