A. My response ...
Since your ex-boss lost his position, I imagine the invitation request is real and I suggest accepting the request. Why? I have several reasons. I landed a job specifically because I accepted an invitation to connect from an ex-boss who I thought didn't care for me. Turns out she thought highly of me and recommended me for a position which I immediately got because of her recommendation.
Also remember that sometimes directors are forced to cut staff and it wasn't their choice to let you go. But even if the boss was the person who chose to cut your position, he may still want to keep the relationship going because he learned how valuable you really were then or how valuable you can be to him now in his job search.
Most importantly, accepting the invitation can turn a soured relationship into a mutually beneficial one now. Perhaps you can exchange LinkedIn recommendations or the former boss could serve as one of your references.
Readers, what do you think? Should you accept invitations from someone who let you go or who you assume doesn't like you? Share your thoughts on Getajobtips.com or on the LinkedIn discussion board that might have brought you here. -- Kathy