Let A = 11 -1 -7 -1 5 -1 -7 -1 5 (a) Show that x¹ Ax ≥ 0 for any x € R³. T (b) Find a non-zero vector x € R³ such that x². Ax = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Question
Let
A =
11
-1
-1
5
-7 -1
T
(a) Show that x Ax ≥ 0 for any x € R³.
(b) Find a non-zero vector x = R³ such that xª Ax = 0.
-7
-1
5
Transcribed Image Text:Let A = 11 -1 -1 5 -7 -1 T (a) Show that x Ax ≥ 0 for any x € R³. (b) Find a non-zero vector x = R³ such that xª Ax = 0. -7 -1 5
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