Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 9. A = 11 = 9, x, = (1, 0) 2, = -9, x, = (0, 1) 9. = 1,x1 Ax 1 = 12x2 Ax2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 7RQ
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7.
DETAILS
LARLINALG8 7.1.001.
Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector.
9.
1, %3D 9, х, %3D (1, 0)
A =
0 -9
2, = -9, x, = (0, 1)
9
Ax1
1
= 1,X1
0 -9
AX 2
-9
0 -9
Transcribed Image Text:7. DETAILS LARLINALG8 7.1.001. Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 9. 1, %3D 9, х, %3D (1, 0) A = 0 -9 2, = -9, x, = (0, 1) 9 Ax1 1 = 1,X1 0 -9 AX 2 -9 0 -9
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