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.
(..) Unbelievable, isn't it? You know what was great about that scene? Was that even with ... ... the knowledge that his life was a simulation ... ... was that he' still fascinated ... ... by the technology of what the Matrix is. (..)2001 The Matrix Revisited
(..) ... this hard work of the training process and choreography. We have fun. And Wo Ping sets that kind of tone. He has such a wealth of knowledge and experience. Him and the people that he works with are great teachers. We basically had the basic structure ... (..)2001 The Matrix Revisited