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
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 38EQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8da88dc9-3e77-486a-8ec6-3f0cdde95c13%2Ff3327fb3-4b52-478d-97c4-0c00e1eb6b2c%2F5r4yem9_processed.png&w=3840&q=75)
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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