Determine whether x is an eigenvector of A. 3 -2 A = -2 6 (a) x = (-1, 0) O x is an eigenvector. O is not an eigenvector. (b) x = (1, -2) O x is an eigenvector. O x is not an eigenvector. (c) x = (2, 1) O x is an eigenvector. O x is not an eigenvector. (d) x = (1, 2) O x is an eigenvector. O x is not an eigenvector.
Determine whether x is an eigenvector of A. 3 -2 A = -2 6 (a) x = (-1, 0) O x is an eigenvector. O is not an eigenvector. (b) x = (1, -2) O x is an eigenvector. O x is not an eigenvector. (c) x = (2, 1) O x is an eigenvector. O x is not an eigenvector. (d) x = (1, 2) 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
Related questions
Question
![Determine whether x is an eigenvector of A.
3 -2
A =
-2
6
(a)
x = (-1, 0)
O x is an eigenvector.
O x is not an eigenvector.
(b)
x = (1, -2)
O x is an eigenvector.
O x is not an eigenvector.
(c) x = (2, 1)
O x is an eigenvector.
O x is not an eigenvector.
(d)
x = (1, 2)
O x is an eigenvector.
O x is not an eigenvector.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F101c9025-6136-4152-a859-8d3625cdbddf%2F0d8fd718-d77a-40f0-8d40-fc05a7c7f09f%2Fqv34ons_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether x is an eigenvector of A.
3 -2
A =
-2
6
(a)
x = (-1, 0)
O x is an eigenvector.
O x is not an eigenvector.
(b)
x = (1, -2)
O x is an eigenvector.
O x is not an eigenvector.
(c) x = (2, 1)
O x is an eigenvector.
O x is not an eigenvector.
(d)
x = (1, 2)
O x is an eigenvector.
O x is not an eigenvector.
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