Determine whether x is an eigenvector of A. -1 -9 A = -2 O -2 3 -3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 16EQ
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Determine whether x is an eigenvector of A.
-1 -9
O -2
3 -3
9
A =
-2
x = (10, -4, 6)
x is an eigenvector.
(a)
x is not an eigenvector.
(b) x = (10, 0, 6)
x is an eigenvector.
Ox is not an eigenvector.
(c)
x = (18, 4, -6)
x is an eigenvector.
x is not an eigenvector.
(d) x = (0, 1, 1)
x is an eigenvector.
x is not an eigenvector.
Transcribed Image Text:Determine whether x is an eigenvector of A. -1 -9 O -2 3 -3 9 A = -2 x = (10, -4, 6) x is an eigenvector. (a) x is not an eigenvector. (b) x = (10, 0, 6) x is an eigenvector. Ox is not an eigenvector. (c) x = (18, 4, -6) x is an eigenvector. x is not an eigenvector. (d) x = (0, 1, 1) x is an eigenvector. x is not an eigenvector.
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