Determine whether x is an eigenvector of A. - [_-2-3] 8 A = (a) x = (1, -2) O x is an eigenvector. O x is not an eigenvector. (b) x = (2, 1) (c) x is an eigenvector. x is not an eigenvector. x = (1, 0) O x is an eigenvector. O x is not an eigenvector.

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.
- [_-2-3]
8
A =
(a) x = (1, -2)
O x is an eigenvector.
O x is not an eigenvector.
(b)
(c)
x = (1, 0)
O x is an eigenvector.
O x is not an eigenvector.
x = (2, 1)
x is an eigenvector.
x is not an eigenvector.
(d)
x = (1, 2)
x is an eigenvector.
x is not an eigenvector.
Transcribed Image Text:Determine whether x is an eigenvector of A. - [_-2-3] 8 A = (a) x = (1, -2) O x is an eigenvector. O x is not an eigenvector. (b) (c) x = (1, 0) O x is an eigenvector. O x is not an eigenvector. x = (2, 1) x is an eigenvector. x is not an eigenvector. (d) x = (1, 2) x is an eigenvector. x is not an eigenvector.
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