Determine whether x is an eigenvector of A. 8 2 A = 2 5 (a) x = (2, 1) O x is an eigenvector. x is not an eigenvector. (b) x = (1, 2) x is an eigenvector. O x is not an eigenvector. (c) x = (1, 0) x is an eigenvector. O x is not an eigenvector.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine whether x is an eigenvector of A.
8 2
A =
2 5
(a) x = (2, 1)
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 = (1, 0)
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.
Transcribed Image Text:Determine whether x is an eigenvector of A. 8 2 A = 2 5 (a) x = (2, 1) 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 = (1, 0) 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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