... The hard part is general vector spaces and the exam really focussed on general vectors and not Euclidean vectors which made the exam conceptually more challenging ... Another Easter egg that was kind of like biting into rotten chocolate was doing proofs for some arbitrary set.
This made me lol. Reminds me of the joke:
A Mathematician (M) and an Engineer (E) attend a lecture by a
Physicist. The topic concerns Kulza-Klein theories involving physical
processes that occur in spaces with dimensions of 9, 12 and even
higher. The M is sitting, clearly enjoying the lecture, while the E
is frowning and looking generally confused and puzzled. By the end
the E has a terrible headache. At the end, the M comments about the
wonderful lecture. The E says "How do you understand this stuff?"
M: "I just visualize the process."
E: "How can you POSSIBLY visualize something that occurs in
9-dimensional space?"
M: "Easy, first visualize it in N-dimensional space, then let N go to 9."
Moral of the story: get used to working in abstract spaces
