Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 9 -1 2 2, = 9, x, = (1, 0, 0) A = 7 1 1 12 = 7, x2 = (1, 2, 0) %3D 0 8 Лз 3D 8, х3 %3D (-1, 1, 1) 9 -1 2 7 1 1 Ax, = = 9 0 = 1,x1 0 8 9 -1 2 1 1 Ax2 = 7 1 2 = 7 2 = 12X2 %3D %3D 0 8 9 -1 2 1 Ax3 = 7 1 = 8 1= 13x3 %3D 0 8 1 1
Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 9 -1 2 2, = 9, x, = (1, 0, 0) A = 7 1 1 12 = 7, x2 = (1, 2, 0) %3D 0 8 Лз 3D 8, х3 %3D (-1, 1, 1) 9 -1 2 7 1 1 Ax, = = 9 0 = 1,x1 0 8 9 -1 2 1 1 Ax2 = 7 1 2 = 7 2 = 12X2 %3D %3D 0 8 9 -1 2 1 Ax3 = 7 1 = 8 1= 13x3 %3D 0 8 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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