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.