Now I could have walked away patting myself on the back, but even with correct equations, the answers were wrong in a deeper, more fundamental way. If you were trying to use it as a tool for learning (a sort of co-pilot for self-study) which is how I use GPT-4 sometimes it would have been really terrible as it could completely mess up your understanding of foundational concepts. It doesn't just make simple mistakes it makes really profound mistakes and presents them in a really convincing way.
[1] What's the difference between a linear map and a linear transformation? What are the properties of a vector space? etc
Are they not the same?
It's not very verbose and gives you a search summary, consisting of something like four paragraphs, each with a citation at the end.
As others have stated, asking it yes/no questions is not really a use case though.