Verify that 2, is an eigenvalue of A and that x; is a corresponding eigenvector. 21 = 2, x1 - (1, 0) 22 = -2, x2 - (0, 1) 2 Ax Ax2 - Ax2 2

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 A, is an eigenvalue of A and that x; is a corresponding eigenvector.
2
A =
A1 = 2, x1 = (1, 0)
A2 = -2, x2 - (0, 1)
2
- [: ) -
- 1) -
2
Ax1
2
- Ax2
AX2
-2
Transcribed Image Text:Verify that A, is an eigenvalue of A and that x; is a corresponding eigenvector. 2 A = A1 = 2, x1 = (1, 0) A2 = -2, x2 - (0, 1) 2 - [: ) - - 1) - 2 Ax1 2 - Ax2 AX2 -2
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