Answered: a. Suppose the vector x = and the…

a. Suppose the vector x = and the symmetric matrix A = Show that for the quadratic form Q(x1,x2) = xAx, the Gradient, VQ = 2Ax. %3D %3D -1 1] -1 1 2 b. Determine the sign definiteness of A =

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

a. Suppose the vector x =
and the symmetric matrix A =
Show that for the
quadratic form Q(x1, x2) = x' Ax, the Gradient, VQ = 2Ax.
%3D
-卡
-1 1
1
b. Determine the sign definiteness of A =
2
91

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