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Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 1 = 8, x, = (1, o, 0) 12 = 6, x2 = (1, 2, 0) 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 6 1 %3D 0 7 %3D 8 -1 8 6 1 1 Ах, - = 8 0 0 7 8 -1 8 Ax2 = 6 1 2 = 6 2 0 7 8 -1 8 Ax3 =0 6 1 = 7 1 1 0 7

Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 1 = 8, x, = (1, o, 0) 12 = 6, x2 = (1, 2, 0) 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 6 1 %3D 0 7 %3D 8 -1 8 6 1 1 Ах, - = 8 0 0 7 8 -1 8 Ax2 = 6 1 2 = 6 2 0 7 8 -1 8 Ax3 =0 6 1 = 7 1 1 0 7

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. 1 = 8, x, = (1, o, 0) 12 = 6, x2 = (1, 2, 0) 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 6 1 %3D 0 7 %3D 8 -1 8 6 1 1 Ах, - = 8 0 0 7 8 -1 8 Ax2 = 6 1 2 = 6 2 0 7 8 -1 8 Ax3 =0 6 1 = 7 1 1 0 7
Transcribed Image Text:Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 1 = 8, x, = (1, o, 0) 12 = 6, x2 = (1, 2, 0) 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 6 1 %3D 0 7 %3D 8 -1 8 6 1 1 Ах, - = 8 0 0 7 8 -1 8 Ax2 = 6 1 2 = 6 2 0 7 8 -1 8 Ax3 =0 6 1 = 7 1 1 0 7
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