Verify that A, is an eigenvalue of A and that x, is a corresponding eigenvector. 2, = 8, x (1, 0, 0) 12 = 6, x, = (1, 2, 0) dg = 7, x3 = (-5, 1, 1) 8 -1 6 A = 6 1 0 7 8 -1 6 Ax, = 6 1 80 = 1,x1 0 7 8 -1 6 6 1 0 7 Ax2 = = 6| 2 = 12x2 2 8 -1 6 -5 -5 Ax3 = 1 = 13x3 6 1 1 0 7 1
Verify that A, is an eigenvalue of A and that x, is a corresponding eigenvector. 2, = 8, x (1, 0, 0) 12 = 6, x, = (1, 2, 0) dg = 7, x3 = (-5, 1, 1) 8 -1 6 A = 6 1 0 7 8 -1 6 Ax, = 6 1 80 = 1,x1 0 7 8 -1 6 6 1 0 7 Ax2 = = 6| 2 = 12x2 2 8 -1 6 -5 -5 Ax3 = 1 = 13x3 6 1 1 0 7 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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