Answered: 3. In this function, we're going to… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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3. In this function, we're going to minimise the function f(x, y) = x² + y² subject to the
constraint (x - 1)² = 0.
a) Try using Lagrange multipliers to solve this problem. This procedure will NOT
work!
b) Nevertheless, find the minimum value of f on this constraint.
c) Your lecturer has given you a "proof," explaining why Lagrange multipliers does
work! Explain why it failed in this case.

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