Problem #1: Q(x) = 3x² +x² + x² - 6x1x2 - 6x1x3 - 2x2x3. Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx The eigenvalues of the matrix of the quadratic form Q are 2, -3, and 6.] Enter the components of x (in order) into the answer box below, separated with commas. numbers correct to 2 decimals = 1. [Hint:
Problem #1: Q(x) = 3x² +x² + x² - 6x1x2 - 6x1x3 - 2x2x3. Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx The eigenvalues of the matrix of the quadratic form Q are 2, -3, and 6.] Enter the components of x (in order) into the answer box below, separated with commas. numbers correct to 2 decimals = 1. [Hint:
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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![Problem #1: Let
Problem #1:
Q(x) = 3x² + x² + x² - 6x1x2 - 6x1x3 - 2x2x3.
Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx
The eigenvalues of the matrix of the quadratic form Q are 2, -3, and 6.]
Enter the components of x (in order) into the answer box below, separated with commas.
numbers correct to 2 decimals
= 1. [Hint:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cb378ba-be87-4838-bd31-84fa6b2aaf1f%2F0cd7b32f-d298-43c2-abbd-5671b6bf5b85%2Fc9yn5mo_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #1: Let
Problem #1:
Q(x) = 3x² + x² + x² - 6x1x2 - 6x1x3 - 2x2x3.
Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx
The eigenvalues of the matrix of the quadratic form Q are 2, -3, and 6.]
Enter the components of x (in order) into the answer box below, separated with commas.
numbers correct to 2 decimals
= 1. [Hint:
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