Verify that 1; is an eigenvalue of A and that x, is a corresponding eigenvector. 9 A = 11 = 9, x1 = (1, 0) 0 -9 12 = -9, x2 = (0, 1) %3D %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 12EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...
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Verify that 1, is an eigenvalue of A and that x; is a corresponding eigenvector.
: , 1 = 9, x, = (1, 0)
0 -9
%D
%D
A =
%3D —9, х, 3D (0, 1)
9.
Ax1:
1
= 1,x1
1
%3D
0 -9
9.
Ax2 =
:-
|= 12x2
%3D
0 -9
1
1
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Transcribed Image Text:Verify that 1, is an eigenvalue of A and that x; is a corresponding eigenvector. : , 1 = 9, x, = (1, 0) 0 -9 %D %D A = %3D —9, х, 3D (0, 1) 9. Ax1: 1 = 1,x1 1 %3D 0 -9 9. Ax2 = :- |= 12x2 %3D 0 -9 1 1 Need Help? Read It II
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