I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) on the planet before you if asked who might betray me. - Raymond... - I know what you've done. I know you helped Tom and Agnes leave the country without my knowledge. Yes. Yes. What do you want to know, Raymond? If I'm sorry? Yes. (..)2016 TvShow: The Blacklist Title: Alexander Kirk (No. 14): Conclusion Season: 3 Episode 23