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.
(..) Humor me. You asked for this meeting. What do you think happened? I believe Zoe Barnes was investigating a relationship you were having with Rachel Posner. And somehow, that knowledge would endanger Francis Underwood, who you would do anything for. But did anyone think about the life of Zoe Barnes? (..)2017 TvShow: House of Cards Title: Chapter 65 Season: 5 Episode 13
(..) - Why would you ask me that? - Why won't you answer? I almost always answer the president's phone. Calls, texts... Do you have any knowledge of those texts? I'm not prepared to comment on that. Then this conversation is over. Have a good day. One last thing. Did you send me two birthday cards? (..)2017 TvShow: House of Cards Title: Chapter 65 Season: 5 Episode 13