Verify that A, is an eigenvalue of A and that x; is a corresponding eigenvector. 7 A = 11 = 7, x1 = (1, 0) 12 = -7, x2 = (0, 1) -7 - [: 위1:] - Ax1 0 -7 7 Ax2 1.

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 75E
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Verify that 1, is an eigenvalue of A and that x; is a corresponding eigenvector.
7
A =
11 = 7, x1 = (1, 0)
12 = -7, x2 = (0, 1)
-7
AX1
7
= 11x1
=
-7
7
Ax2
= 12x2
H O
Transcribed Image Text:Verify that 1, is an eigenvalue of A and that x; is a corresponding eigenvector. 7 A = 11 = 7, x1 = (1, 0) 12 = -7, x2 = (0, 1) -7 AX1 7 = 11x1 = -7 7 Ax2 = 12x2 H O
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