She's absolutely convinced that she's right - she's 100% convinced that she's right.
Surely, you are impressed by her conviction - you must be impressed with her conviction, aren't you?
I definitely heard her say that she was convinced - it's quite clear to me that she said that and I have no doubts about it.
It certainly makes a change to meet someone with such strong views - it's very true to say and I must admit it makes a change ...
Hope this throws a little light on the differences - I certainly hope so!