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
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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