Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 11 = 3, x, = (1, 0) 12 = -3, x, = (0, 1) A = 0 -3 3. Ax1 3. 3. Ax2 = 1,X2 -3

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 2, is an eigenvalue of A and that x, is a corresponding eigenvector.
21 = 3, x, = (1, 0)
22 = -3, x2 = (0, 1)
A =
0 -3
3
Ax1
3.
0 -3
AX2
= 12x2
= -3
Transcribed Image Text:Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 21 = 3, x, = (1, 0) 22 = -3, x2 = (0, 1) A = 0 -3 3 Ax1 3. 0 -3 AX2 = 12x2 = -3
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