Verify that A, is an eigenvalue of A and that x is a corresponding eigenvector. 2=6, x, (1, 0, 0) 22= 4, x, = (1, 2, 0) 23=5, x, = (-8, 1, 1) 6 -1 9 A = 4 1 %3D %3! 0 5 %3D %3D 6-19 AX 0 41 0 5 %3D %3D 6-19 AX2= 2 x2 41 0 5 8- Ax3 =0 4 1 0 5 1 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 46EQ
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LARLINALG87.1.006.
Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector.
2= 6, x, = (1, 0, 0)
22 = 4, x, = (1, 2, 0)
0 5] 2, = 5, x3 = (-8, 1, 1)
6-1 9
%3D
A =
41
%3D
%3D
%3D
6-19
AX
41
0 5
1 1
6.
Ax2=
2 =1x2
41
%3!
0 5
9.
-8
Ax3 =0 4 1
0 5
Transcribed Image Text:1. [-/5 Points] DETAILS LARLINALG87.1.006. Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 2= 6, x, = (1, 0, 0) 22 = 4, x, = (1, 2, 0) 0 5] 2, = 5, x3 = (-8, 1, 1) 6-1 9 %3D A = 41 %3D %3D %3D 6-19 AX 41 0 5 1 1 6. Ax2= 2 =1x2 41 %3! 0 5 9. -8 Ax3 =0 4 1 0 5
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