Here are a few brief comments the grader had about various homework problems:
- HW 6 On #2 some people didn't realize 0 could be an
eigenvalue and just included one example eigenvector instead of the
whole space. On #4a some people forgot to check both independent and
dependent cases, and on #4b most just assumed the eigenvalue was the
same for all eigenvectors. That's pretty much it!
- HW 5 Other than the confusion on 2 b), some people just
assumed that linearity proved #1 a) and b). On part a) some people
wrote [v]_B as a matrix rather than a vector.
- HW 4 Most people missed one or two of the true-false
questions, and #2 & #3 were easy, so everybody got those. On #4 most
people didn't really understand how to use surjectivity ( i.e. just
assuming that there are two elements w and v such that f(w) = v
instead of that there is a w for each v). And finally on #5 some
people still forgot to prove both directions.