Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. A= = 2, x, = (1, 0) 22 = -2, x, = (0, 1) %3D %3D 0 -2 %3D %3D = 2 %3D AX1 %3D %3D -2 21 AX2 %3D -2 !! %3D %3D 0 -2

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 2, is an eigenvalue of A and that x, is a corresponding eigenvector.
A= - 2, x, - (1, 0)
12 =-2, x, = (0, 1)
%3D
%3D
A =
0 -2
%3D
%3D
= 2
%3D
Ax, =
AX1
%3D
= スメ2
2.
AX2
%3D
%3D
0 -2
Transcribed Image Text:Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. A= - 2, x, - (1, 0) 12 =-2, x, = (0, 1) %3D %3D A = 0 -2 %3D %3D = 2 %3D Ax, = AX1 %3D = スメ2 2. AX2 %3D %3D 0 -2
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