Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 11 = 6, x1 = (1, o, 0) 12 = 4, x, = (1, 2, 0) 0 5] 13 = 5, x, = (-1, 1, 1) 6-1 2 A = 4 1 %3D 6 -1 2 Ax1 = = 1,x1 4 1 0 5 -- -- 6 -1 2 Ax2 = 4 = 1,X2 0. 4 1 05. 6 -1 2 -1 Ax3 = 0. 4 1 =D5 = 13X3 0 5
Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 11 = 6, x1 = (1, o, 0) 12 = 4, x, = (1, 2, 0) 0 5] 13 = 5, x, = (-1, 1, 1) 6-1 2 A = 4 1 %3D 6 -1 2 Ax1 = = 1,x1 4 1 0 5 -- -- 6 -1 2 Ax2 = 4 = 1,X2 0. 4 1 05. 6 -1 2 -1 Ax3 = 0. 4 1 =D5 = 13X3 0 5
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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