Ex.2 Consider ƒ € C²(R²) and Po a stationary point for f. Let H,(Po) = (27¹1) be the Hessian matrix of f at the point P, with h E R, then Po is: (A) a relative minimum point for h < 2 (B) a saddle point for h <1 (C) a relative maximum point for h <1 (D) a relative minimum point for h<1

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Ex.2 Consider ƒ € C²(R²) and Po a stationary point for f. Let H, (P) = (271)
be the Hessian matrix of f at the point Po, with h € R, then Po is:
(A) a relative minimum point for h <2
(B) a saddle point for h < 1
(C) a relative maximum point for h <1
(D) a relative minimum point for h<1
Transcribed Image Text:Ex.2 Consider ƒ € C²(R²) and Po a stationary point for f. Let H, (P) = (271) be the Hessian matrix of f at the point Po, with h € R, then Po is: (A) a relative minimum point for h <2 (B) a saddle point for h < 1 (C) a relative maximum point for h <1 (D) a relative minimum point for h<1
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