Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 8, x1 = (1, 0, 0) 12 = 6, x2 = (1, 2, 0) 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 6 1 0 7 8 -1 8 1 1 Ax1 6 1 0 7 -- = 8 0 8 -1 8 6 1 0 7 Ax2 2 6 2 8 -1 8 13x3 6 1 0 7 Ax3 1 = 7 =
Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 8, x1 = (1, 0, 0) 12 = 6, x2 = (1, 2, 0) 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 6 1 0 7 8 -1 8 1 1 Ax1 6 1 0 7 -- = 8 0 8 -1 8 6 1 0 7 Ax2 2 6 2 8 -1 8 13x3 6 1 0 7 Ax3 1 = 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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