Assignment 8         total 35 marks


Problem 1.  #8 in the text                                    total  5 marks
Problem 1.  #10(b) in the text                                total  5 marks
Problem 1.  #12 in the text                                   total  5 marks
Problem 1.  #24 in the text                                   total  5 marks



Problem 2.                                                    total   5 marks
Problem 3.                                                    total  10 marks


----------------------------------------------------------
Common problems:

In question 24 from the test (if memory serves, this was 24), when
having to show that A-inverse is diagonalizable, many people failed to
show (or even state) that D-inverse (the diagonalization of A) is
itself diagonal.  

In question 3 from the handout, many people failed to provide a basis
for P2(R) and instead provided one for R^3. The other common issue was
students failing to write down the diagonal matrix representation in
their basis of eigenvectors, which was in the solutions and was
totally trivial to do. 
-----------------------------------------------------
some students have difficulty with matrix algebra (i.e. how to
apply an inverse to a product of matrices) and other small set up items
(plugging into a transformation matrix).