Math. 311                                           Fall 1998

                     HOMEWORK SUMMARY REPORT


  Week number: 10         
    
  Problem number: 6.2.16 

  Number of papers received: 2 

  Reviewing committee (Greek letter): Epsilon      

  List all participating members:

    Andrew Barkley, Michael Burns

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

        Dana Cloud


  Comments:

        The proof appears to be correct, but the reviewing committee had
difficulty following the steps of the proof (however, there could be some
wool pulled over our eyes).


INSTRUCTOR'S COMMENT: I agree that this is not the most direct proof that
could be given.  I suggest:  Write the new vectors as linear combinations
of the old ones; calculate the inner products of the new vectors, knowing
those of the old ones; see what results.  This will involve messier
notation (lots of indices) but is more elementary than the published
proof.