Please see attached PDF file; I'm trying to derive a couple of results involving Lagrange multipliers and a linear algebra equivalence.
This makes use of the extension to Lagrange multipliers whereby the constraint is an inequality (see, e.g., section 5.1 of http://www.cs.berkeley.edu/~klein/papers/lagrange-multipliers.pdf ).
Constrained Mmnimization using Lagrange multipliers is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.