Verify the following result.Theorem. Let U be an open subset of R" and let f:U → R be a C' functionThen if ro E U is either a local marimum or a local minimum of f subject to theconstraints0 = (x)*6for i e {1,..., m} (the g, being differentiable), then there exist scalars A1,..,Amand a scalar p, not all zero, such that( fz, (x0)\9kz1 (T0)(1)\Sz, (T0)/\9kIn (T0)If the vectors9izı (20)Fmz, (T0)\9iz, (T0),are linearly independent, it follows that an equation of the form\Imzn (T0).9kz; (x0))(2)\Szn (#0)/k=1holds.(02) "z¥6\Hint: Use the implicit function theorem.

A function is given and show that stationary point and compute the quadratic form of the given…

Answered: cal marimum o 9:(г) — 0 %3D ng…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...

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cal marimum o 9:(г) — 0 %3D ng differentiable), then there uch that