Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3 (1, 2, —1) 12 = -3, x2 = (-2, 1 0) Аз %3D —3, Xз %3D (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 3 -- I -1 4 -6 1 Ах1 4 -12 2 13 2 -2 -4 3 -1 -1 -1 4 -6 -2 -2 Ax2 4 5 -12 1 -3 1 12x2 -2 -4 3 -1 4 -6 Axa 12 3
Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3 (1, 2, —1) 12 = -3, x2 = (-2, 1 0) Аз %3D —3, Xз %3D (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 3 -- I -1 4 -6 1 Ах1 4 -12 2 13 2 -2 -4 3 -1 -1 -1 4 -6 -2 -2 Ax2 4 5 -12 1 -3 1 12x2 -2 -4 3 -1 4 -6 Axa 12 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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