Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 7 A = d1 = 7, x1 = (1, 0) 12 = -7, x2 = (0, 1) 0 -7 7 Ax1 7 %D 0 -7 --: - 7 Ax2 12x2 0 -7

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.
7, x1 = (1, 0)
12 = -7, x2 = (0, 1)
7
A =
-7
%D
Ax1
1
7
0 -7
7
Ax2
= -7
12x2
=
-7
Transcribed Image Text:Verify that 1; is an eigenvalue of A and that X; is a corresponding eigenvector. 7, x1 = (1, 0) 12 = -7, x2 = (0, 1) 7 A = -7 %D Ax1 1 7 0 -7 7 Ax2 = -7 12x2 = -7
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