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Consider the function f(x, y) = 2x² – 4x – xy² + 2y² – 3. 1. Show that the stationary points of f(x,y) are at (2,-2), (1,0) and (2, 2). 2. Use the eigenvalue test to classify each of the stationary points.

Consider the function f(x, y) = 2x² – 4x – xy² + 2y² – 3. 1. Show that the stationary points of f(x,y) are at (2,-2), (1,0) and (2, 2). 2. Use the eigenvalue test to classify each of the stationary points.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 75E
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Consider the function f(x, y) = 2x² – 4x – xy² +2y? – 3. %3D 1. Show that the stationary points of f(x,y) are at (2,-2), (1,0) and (2,2). 2. Use the eigenvalue test to classify each of the stationary points. Focus
Transcribed Image Text:Consider the function f(x, y) = 2x² – 4x – xy² +2y? – 3. %3D 1. Show that the stationary points of f(x,y) are at (2,-2), (1,0) and (2,2). 2. Use the eigenvalue test to classify each of the stationary points. Focus
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