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Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. A = 13, x, = (1, 2, –1) A2 = -3, x2 = (-2, 1 0) 3- -3, х, - (3, о, 1) 4 -6 A = 4 5 -12 %3D -2 -4 3 %3D 4 -6 Ах, - 4 5 -12 2 13 -2 -4 4 -6 Ax, = 4 5 -12 1 -2 -4 3 -1 4 -6 3 3 Ax = 4 5 -12 -3 -2 -4

Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. A = 13, x, = (1, 2, –1) A2 = -3, x2 = (-2, 1 0) 3- -3, х, - (3, о, 1) 4 -6 A = 4 5 -12 %3D -2 -4 3 %3D 4 -6 Ах, - 4 5 -12 2 13 -2 -4 4 -6 Ax, = 4 5 -12 1 -2 -4 3 -1 4 -6 3 3 Ax = 4 5 -12 -3 -2 -4

Advanced Engineering Mathematics
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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Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. A = 13, x, = (1, 2, –1) A2 = -3, x2 = (-2, 1 0) 3- -3, х, - (3, о, 1) 4 -6 A = 4 5 -12 %3D -2 -4 3 %3D 4 -6 Ах, - 4 5 -12 2 13 -2 -4 4 -6 Ax, = 4 5 -12 1 -2 -4 3 -1 4 -6 3 3 Ax = 4 5 -12 -3 -2 -4
Transcribed Image Text:Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. A = 13, x, = (1, 2, –1) A2 = -3, x2 = (-2, 1 0) 3- -3, х, - (3, о, 1) 4 -6 A = 4 5 -12 %3D -2 -4 3 %3D 4 -6 Ах, - 4 5 -12 2 13 -2 -4 4 -6 Ax, = 4 5 -12 1 -2 -4 3 -1 4 -6 3 3 Ax = 4 5 -12 -3 -2 -4
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