Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 6, х1 %3D (1, 0) 12 = -6, x2 = (0, 1) = A : -6 6. 1 1 Ax1 = 0 -6 6 Ax2 -6 =

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 4EQ: In Exercises 1-6, show that vis an eigenvector of A and find the corresponding eigenvalue....
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Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector.
11 %3D 6, х1 %3D (1, 0)
12 = -6, x2 = (0, 1)
=
A :
-6
6.
1
1
Ax1
=
0 -6
6
Ax2
-6
=
Transcribed Image Text:Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 6, х1 %3D (1, 0) 12 = -6, x2 = (0, 1) = A : -6 6. 1 1 Ax1 = 0 -6 6 Ax2 -6 =
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