Consider the problem ax1 + bæ2 subject to af + a = 2 maximize where a and b are real numbers. Show that if [1, 1]" is an optimizer to the problem, then a = b.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.2: Matrix Algebra
Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.
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Consider the problem
ari + br2
subject to a?+ = 2
maximize
where a and b are real numbers. Show that if [1, 1]" is an optimizer to the problem,
then a = b.
Transcribed Image Text:Consider the problem ari + br2 subject to a?+ = 2 maximize where a and b are real numbers. Show that if [1, 1]" is an optimizer to the problem, then a = b.
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