M 311                                           Spring 2004
                                                                               
                HOMEWORK SUMMARY REPORT
                                                                               
                                                                               
Chapter number: 2
                                                                               
Section number: 2
                                                                               
Exercise number: 9
                                                                               
Number of papers received: 2
                                                                               
Reviewing committee: epsilon
                                                                               
List all participating committee members:
    c-glaser, j-bosshard
                                                                               
Author(s) of paper(s) chosen for publication:
                                                                               
David White
James Macfarlane
                                                                               
Comments: Both papers were completely correct.  Furthermore, we choose 
both for publication as each uses a different method to reach the proof.
                                                                               
GRADER'S COMMENT:  White's proof was much more clear and concise.

INSTRUCTOR'S COMMENT:  Let me amplify that.  Many properties of matrix 
algebra, including the one in this problem, can be proved from other 
general properties, without writing out matrices as tables of numbers.  
When you do the latter, you are tempted to give a proof that is valid, 
strictly speaking, only for 2 x 2 matrices.