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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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