Suppose that the Hessian matrix of a certain quadratic form f(x, y) is 6 5 H (a) Find f(x, y) (b) Find the critical point of f. If the critical point is (a, b), then enter the values of a and b into the answer box below, separated with a comma. (c) Find the eigenvalues of H.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Problem #4: Suppose that the Hessian matrix of a certain quadratic form f(x, y) is
H =
6 5
6
(a) Find f(x, y)
(b) Find the critical point of f. If the critical point is (a, b), then enter the values of a and b into the answer box
below, separated with a comma.
(c) Find the eigenvalues of H.
(d) Use the eigenvalues in (c) to classify the critical point.
Transcribed Image Text:Problem #4: Suppose that the Hessian matrix of a certain quadratic form f(x, y) is H = 6 5 6 (a) Find f(x, y) (b) Find the critical point of f. If the critical point is (a, b), then enter the values of a and b into the answer box below, separated with a comma. (c) Find the eigenvalues of H. (d) Use the eigenvalues in (c) to classify the critical point.
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