11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is equal (( G is the Hessian matrix and g is the gradient vector for f(X))) A: [25] B: [-2 -5] C: [5 2]T D: [-5 -2]T A B C D
11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is equal (( G is the Hessian matrix and g is the gradient vector for f(X))) A: [25] B: [-2 -5] C: [5 2]T D: [-5 -2]T A B C D
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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Question
![11:
Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is
equal (( G is the Hessian matrix and g is the gradient vector for f(X)))
A: [25]
B: [-2 -5] C: [5 2]T
D: [-5 -2]T
A
B
C
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93d39ace-d211-4a4f-8c4a-ac236bd6fdac%2Ff28f38e1-eef9-4c82-bc0f-ed290aa033f2%2Fwk110mc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11:
Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is
equal (( G is the Hessian matrix and g is the gradient vector for f(X)))
A: [25]
B: [-2 -5] C: [5 2]T
D: [-5 -2]T
A
B
C
D
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