Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. =8 °) 21 = 8, x1 = (1, 0) 12 = -8, x2 = (0, 1) -8 8 Ax1 8 -8 -[: - 8. Ax2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
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Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector.
8
A =
11 = 8, x1 = (1, 0)
12 = -8, x2 = (0, 1)
-8
8
Ax, =
= 11x1
=
8
0 -8
8.
Ax2
= -8
= 12x2
-8
Transcribed Image Text:Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. 8 A = 11 = 8, x1 = (1, 0) 12 = -8, x2 = (0, 1) -8 8 Ax, = = 11x1 = 8 0 -8 8. Ax2 = -8 = 12x2 -8
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