What are the consequences if you don't apologize when you've made a mistake?
First, you will damage your relationships with colleagues, clients, friends, or family. It can harm your reputation, limit your career opportunities, and lower your effectiveness – and, others may not want to work with you.
It also negatively affects your team when you don't apologize. No one wants to work for a boss who can't own up to his mistakes, and who doesn't apologize for them. The animosity, tension, and pain that comes with this can create a toxic work environment.