Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 13, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 23 = -3, x3 = (3, 0, 1) -1 4 -6 %3! A = 5 -12 -2 -4 3 -1 4 -6 1 Ax1 4 5 -12 = 13 2 = 11x1 -2 -4 3 -1 -1 -1 4 -6 -2 -2 Ax2 4 5 -12 = 12x2 = -2 -4 3 -1 4 -6 Ахз 4 5 -12 -3 0 23X3 %3D -2 -4 3
Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 13, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 23 = -3, x3 = (3, 0, 1) -1 4 -6 %3! A = 5 -12 -2 -4 3 -1 4 -6 1 Ax1 4 5 -12 = 13 2 = 11x1 -2 -4 3 -1 -1 -1 4 -6 -2 -2 Ax2 4 5 -12 = 12x2 = -2 -4 3 -1 4 -6 Ахз 4 5 -12 -3 0 23X3 %3D -2 -4 3
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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