M 311                                           Spring 2004
                                                                                
                HOMEWORK SUMMARY REPORT
                                                                                
                                                                                
Chapter number: 4
                                                                                
Section number: 5
                                                                                
Exercise number: 12
                                                                                
Number of papers received: 5
                                                                                
Reviewing committee: Kappa
                                                                                
List all participating committee members:
    Brian Young, Randall McClelland
                                                                                
                                                                                
Author(s) of paper(s) chosen for publication:
Xujia Zhang
                                                                                
                                                                                
Comments: Mr. Zhangs paper was chosen because it was the only correct
solution.  Though all of the papers were close to the correct solution,
many were misled by the solution online, which is incorrect.  The paper is
sufficiently clear, and thus it was chosen to be published.
                                                                                
GRADER'S COMMENT:  This is not a difficult problem.  If B is the 
coordinate transformation from b to natural and B' is the coordinate 
transformation from b' to natural (both of which are transparent), and A 
is the original matrix, the new matrix is B'^{-1}BAB^{-1}B'.