A while ago I remember seeing a very nice shortlist of problems in linear algebra. It was a list of about 40-50 problems. The idea was that if you solve them, you learn linear algebra very well and you don't need to spend any more time on it. I mean, it was a super concise but somewhat complete intro to the subject via solving problems.
It was starting with what it a basis of a vector space, going through basic constructions (sums, quotients), eigenvalues and eigenvectors, Jordan normal form, bilinear forms and their classification, different linear transformations associated to forms (like self-adjoint transformations et.c. ) and ending with discussion of multilinear algebra.
Unfortunately, I can't find it now, and I don't remember at all where I saw it (it was a very long time ago).
Have you seen any shortlist like that? Could you, please, give me a reference?
Thank you very much!
I hope the question is not too vague.