Problem #1: Let Problem #1: Q(x) = 35x2 - 7x2-7x3 + 18x₁x2 + 18x1x3 - 18x2x3. Find a unit vector x in R3 whose first entry is positive at which Q(x) is minimized, subject to xx = 1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 2, -19, and 38.] Enter the components of x (in order) into the answer box below, separated with commas. numbers correct to 2 decimals

Problem #1: Let Problem #1: Q(x) = 35x2 - 7x2-7x3 + 18x₁x2 + 18x1x3 - 18x2x3. Find a unit vector x in R3 whose first entry is positive at which Q(x) is minimized, subject to xx = 1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 2, -19, and 38.] Enter the components of x (in order) into the answer box below, separated with commas. numbers correct to 2 decimals

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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