Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. -[: 와 21 = 4, x1 = (1, 0) 12 = -4, x2 = (0, 1) 4 A = 4 Ax1 4 = 0 -4 4 Ax2 = 12x2 0 -4

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 2; is an eigenvalue of A and that x; is a corresponding eigenvector.
21 = 4, x1 = (1, 0)
12 = -4, x2 = (o, 1)
4
A =
0 -4
%3D
4
Ax1
Ax2
Transcribed Image Text:Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. 21 = 4, x1 = (1, 0) 12 = -4, x2 = (o, 1) 4 A = 0 -4 %3D 4 Ax1 Ax2
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