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.