Hello,
I don't know if my solution will help everyone but I had the same keyboard problem after a bios update on my dell latitude 3520.
The keys mainly on the lower part of the keyboard were only working intermittently.
I first tried to do a CMOS reset by removing my battery and the motherboard battery, this solution worked for two days and then the problem returned.
So I said to myself that the problem was still of electrical origin and it turns out that the keyboard was backlit, so I disconnected the backlighting cable from the motherboard and I have no more worries for 2 weeks , even if the backlit doesn't work anymore that's better than nothing.
I hope this solution can help some people.