Question 2 1 pts The function u = − - x³ y² (−6 x + y − 6) – (2 x − y − z)² has a critical point p = (−1/2, 2, −3). For k = 1, 2, 3, compute the determinant D½ of the upper-left kk submatrix of the Hessian H(p). (See class notes or Theorem 8 in section 10.7 of the text.) Define C = 0 if the Hessian second derivative test fails, C = 2 if µ is a local minimum, C = 4 if it is a local maximum, and C = 8 if it is a saddle. Then the number sin D₁ + sin D2 + sin D3 + sin C is -2.881 O 1.741 -0.139 -2.177 0.407 3.521 -3.055 O 2.773
Question 2 1 pts The function u = − - x³ y² (−6 x + y − 6) – (2 x − y − z)² has a critical point p = (−1/2, 2, −3). For k = 1, 2, 3, compute the determinant D½ of the upper-left kk submatrix of the Hessian H(p). (See class notes or Theorem 8 in section 10.7 of the text.) Define C = 0 if the Hessian second derivative test fails, C = 2 if µ is a local minimum, C = 4 if it is a local maximum, and C = 8 if it is a saddle. Then the number sin D₁ + sin D2 + sin D3 + sin C is -2.881 O 1.741 -0.139 -2.177 0.407 3.521 -3.055 O 2.773
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 19EQ
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