6. A = 0 -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.
6
A =
11 = 6, x, = (1, 0)
0 -6
2, = -6, x, = (0, 1)
1
= 1,x1
1
AX 1
= 6
=
Ax2
= -6
= 12x2
0 -6
Transcribed Image Text:Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 6 A = 11 = 6, x, = (1, 0) 0 -6 2, = -6, x, = (0, 1) 1 = 1,x1 1 AX 1 = 6 = Ax2 = -6 = 12x2 0 -6
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