Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 9, x1 = (1, 0, 0) 12 = 7, x2 = (1, 2, 0) 13 = 8, x3 = (-3, 1, 1) 9-14 A%3D 0. 7 1 0. 9. -1 4 AX1 7 1 %3D %3D 9 -1 4 AX2 7 1 %3D 0 8 9-14 -3 -3 AX3 0. 7 1 = 8 23x3 %3D 0 8
Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 9, x1 = (1, 0, 0) 12 = 7, x2 = (1, 2, 0) 13 = 8, x3 = (-3, 1, 1) 9-14 A%3D 0. 7 1 0. 9. -1 4 AX1 7 1 %3D %3D 9 -1 4 AX2 7 1 %3D 0 8 9-14 -3 -3 AX3 0. 7 1 = 8 23x3 %3D 0 8
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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