The total mark is 37+43=80

PS#13
6 Q1(b)
7 Q1(d)
6 Q1(f)
The  total for the first 3 questions is 19.
The first 3 questions were NOT marked but the eigenvalues and
geometric multiplicities were checked for correctness.
10 Q2
5 Q3
3 Q5

total 37

PS#14
5 Q1(a)
5 Q1(b)
4 Q4
0 Q5     do not mark (combination of P.S.#6 Q5 and P.S.#11 Q9)
6 Q6(a)  
6 Q6(c) 
total for next 3 is 17. Verify that correctness of D and diagonalizability.
Otherwise do NOT mark the next 3.
9 Q6(d)
2 Q6(f)
6 Q6(g)
total 43


-------------------------------------
ps 13
#2 many students have trouble finding the matrix A (they got the transpose
of A)
#5 it seems that students don't remember they've done similar problem so the
problem is blanked

ps 14
#1 not many students got all the conditions on the soln
#4 not many students realized there is n independent soln
#6d students have trouble factoring in order to find eigenvalues

-------------------------------------
PS 13, Question 3 was similar in style to one on the last assignment, and some
people are
still making the same errors-- such as failing to provide justification as to
why two scalars
cannot be equal.
I can't remember the exact context in which this arose, but in a couple of
places, some people
were falsely assuming that Av=Bv (for only one vector v) implies A=B.
On the proof questions, some people have a tendency of begging the question;
they assume the
truth of the statement they are asked to prove, and use that to prove the
statement.

-------------------------------------
-------------------------------------
-------------------------------------