Verify that 2; is an eigenvalue of A and that x, is a corresponding eigenvector. 11 = 3, x, = (1, 0) A2 = -3, x2 = (0, 1) 3 A = 3 1 Ax, = Ax2= -3 1 0 -3 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
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Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector.
11 = 3, x, = (1, 0)
A2 = -3, x2 = (0, 1)
A =
- :] -
3
1
Ax, =
3
-3
1
0 -3
1
Transcribed Image Text:Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. 11 = 3, x, = (1, 0) A2 = -3, x2 = (0, 1) A = - :] - 3 1 Ax, = 3 -3 1 0 -3 1
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