Linear Algebra and Its Applications · Problem 6.4.3

Computations with Matrices — Gilbert Strang

Mathematics · minimum-principles-quadratic

Problem

Find the minimum, if there is one, of

P_1 = \frac{1}{2}x^2 + xy + y^2 - 3y

and

P_2 = \frac{1}{2}x^2 - 3y

. What matrix

A

is associated with

P_2