Math. 311                                           Fall 1998

                     HOMEWORK SUMMARY REPORT


  Week number: 9         
    
  Problem number: 6.1.4 

  Number of papers received: 4 

  Reviewing committee (Greek letter): Beta      

  List all participating members: David Prinz
                                  Holly Fishbeck
                                  Keith Kirkendall

  Author[s] of paper[s] chosen for publication: Scott Chen               




  Comments:
  All papers had the correct answers but Scott's was written exceptionally
  well and was rather easy to follow.


INSTRUCTOR'S COMMENT:  A slight touch-up was necessary to make the paper
completely correct.  The hard part of this problem is observing why inner
product (a) is positive.  The point is that (when y = x) it can be written
as a sum of squares:  (x_1 + x_2)^2 + 0.1 x_2^2 + 25 x_3^2.
    Also, the problem should have stated that the scalars are REAL in this
problem.  For complex scalars, a complex conjugation would be needed to
ensure positivity.