M 311                                           Spring 2004
                                                                                
                HOMEWORK SUMMARY REPORT
                                                                                
                                                                                
Chapter number: 6
                                                                                
Section number: 2
                                                                                
Exercise number: 15
                                                                                
Number of papers received: 4
                                                                                
Reviewing committee: Theta
                                                                                
List all participating committee members:
    Xujia Zhang, Jason Madsen
                                                                                
Author(s) of paper(s) chosen for publication:  [Brian Young]
                                                                                
                                                                                
Comments:
                                                                                
All four papers came to the correct solution to the problem.  However, a
few papers were a little hard to follow the complete thought process
of the author.  The paper choosen for publication gave an example to
prove that the claim to remove the dependent vector would result in the
same ON basis therefor simplifing the Gram-Schmidt process.
                                                                                
GRADER'S AND INSTRUCTOR'S COMMENT:  The paper originally chosen contains
an algebraic error that ruined the whole example.  When a vector is 
encountered that is not independent of the preceding ones, then the new 
perpendicular vector will be zero!  That is almost the whole point of the 
problem.