Question 5:

 1 point:  correct matrix  
   [4 5
    5 4]

 2 points:  for right eigenvalues   -1, 9

2 points:  right eigenvectors  (1 1)  (-1 1)

2 points:  additional principal axis

1 point  for asymptotes of graph

2 point  for final graph

(6 points for everything but no graph)


Question 6:

  4 points  each for parts  a,b,c
comments on
a) Those using Av=lambda v will lose some points.
   Those who did nothiing ,but recognizing Hermitian definition - 1 point.
   Those using <Av,w>=A<v,w> will be penalized for lack of understanding.

b) .....
c) .....