email@example.com (James Dolan) wrote in message news:<firstname.lastname@example.org>... > in article <email@example.com>, > daniel grubb <firstname.lastname@example.org> wrote: > > |>|>Memorize? I can't remember ever memorizing anything. Better just to > |>|>practice until you understand. Discuss, ask questions, apply. That way > |>|>you memorize, of course, but that's just a side-effect. > |>| > |>|No, for proof classes, which linear algebra is in many places, > |>|it is crucial to *memorize* the definitions. > > |>nonsense. > | > |I'm afraid not. > > in that case you ought to have at least tried to give some reason to > support your opinion.
Here's one. The first question in the exam is likely to be something like the following:
1. Give the definition of a vector space.
2. Let X be .... Prove that X is a vector space.
(How is this done? By checking all the conditions that appear in the definition of "vector space", so again one needs to be able to write this down.)