Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint. z = x12 + 12x22; 9x1² + 81x22 = 729 The constrained maximum of occurs when (x1, x2) = and the constrained minimum of occurs when (x1, x2) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint.
z = x1? + 12x2²; 9×1² + 81x22 = 729
The constrained maximum of
occurs when (x1, ×2) =
and the constrained minimum of
occurs when (X1, ×2) =
Transcribed Image Text:Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint. z = x1? + 12x2²; 9×1² + 81x22 = 729 The constrained maximum of occurs when (x1, ×2) = and the constrained minimum of occurs when (X1, ×2) =
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