Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 21 = 5, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 0] 13 = -3, x3 = (3, 0, 1) -2 2 -3 A = 1 -6 -1 -2 -2 2 -3 Ax1 = 1 -6 = 1,×1 !! %3D -1 -2 -2 2 -3 -2 -2 Ax2 = 1= 12x2 2 1 -6 1 -3 -1 -2 1 1 -2 2 -3 3. Ax3 = 2 1 -6 -3 = 13x3 -1 -2 0.
Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 21 = 5, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 0] 13 = -3, x3 = (3, 0, 1) -2 2 -3 A = 1 -6 -1 -2 -2 2 -3 Ax1 = 1 -6 = 1,×1 !! %3D -1 -2 -2 2 -3 -2 -2 Ax2 = 1= 12x2 2 1 -6 1 -3 -1 -2 1 1 -2 2 -3 3. Ax3 = 2 1 -6 -3 = 13x3 -1 -2 0.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 46EQ
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