Question 7
a)  4 marks   
           2 for getting p(A)=A<sup>2</sup> -2A-8I, 
           2 for evaluation
         p(A)=[
              6 - 6 6
              6 - 6 6
              0   0 0]

b)   2 marks     Explain min pol is -charact pol - with repeated root
                   (or show geom. mult.)

Common errors:   a) arithmetic   b) many just stated what min pol is.


Question 8
a)   2 marks

b)   8 marks    (Almost one for each part of the proof)

Common errors:      Since this was on the list and was memorized, there
were often steps missed out. The conclusioin was often omitted, i.e.
they showed that T(y) is in orthog compl of W but did not state the
invariance.



Question 9



Question 10