Answered: Problem #1: Q(x) = 99x²-23x2-23x3… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Problem #1:
Q(x) = 99x7-23x2-23x2 + 30x1x2 + 30x1x3-50x2x3.
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, -51, and 102.]
Enter the components of x (in order) into the answer box below, separated with commas.
numbers correct to 2 decimals

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