"If you got short with someone, particularly in front of others, and you were wrong, fess up, apologize in a way that makes sense, and move on. I’ll admit that I’ve done this — not often! — and I’ve patched it up with this process. I’ve been told that this was a very appreciated step and that it reinforced a good working relationship.
If you make a mistake, admit it. No one wants to work with a know-it-all. If you blow it — you get a factual issue incorrect or argue a point that you later find is wrong — admit it. Your staff will appreciate your candor and willingness to admit, again, that you’re human."