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Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. 8 -1 8 1 = 8, x, = (1, o, 0) (1, 0, 0) A = 6 1 | 12 = 6, x2 = (1, 2, 0) s 6, 0 7] 13 = 7, x3 = (-7, 1, 1) 8 -1 8 1 1 Ax1 6 1 0 7 Ах, 3 = 8 0 8 -1 8 1 Ax2 = = 6 2 = 1x2 6 1 2 0 7 8 -1 8 Ax3 =0 0 7 1 =13x3 6 1 1 = 7 1 1

Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. 8 -1 8 1 = 8, x, = (1, o, 0) (1, 0, 0) A = 6 1 | 12 = 6, x2 = (1, 2, 0) s 6, 0 7] 13 = 7, x3 = (-7, 1, 1) 8 -1 8 1 1 Ax1 6 1 0 7 Ах, 3 = 8 0 8 -1 8 1 Ax2 = = 6 2 = 1x2 6 1 2 0 7 8 -1 8 Ax3 =0 0 7 1 =13x3 6 1 1 = 7 1 1

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 i, is an eigenvalue of A and that x, is a corresponding eigenvector. A = 8, x, = (1, 0, 0) 6 1 12 = 6, x2 = (1, 2, 0) 0 7] 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 8 -1 8 Ах, 6 1 0 7 8 -1 8 6 1 2 = 1x2 Ax2 = 2 = 6 0 7 8 -1 8 -7 Ax3=0 1 =13x3 6 1 1 = 7 0 7 Need Help? Read It H O O
Transcribed Image Text:Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. A = 8, x, = (1, 0, 0) 6 1 12 = 6, x2 = (1, 2, 0) 0 7] 13 = 7, x3 = (-7, 1, 1) 8 -1 8 A = 8 -1 8 Ах, 6 1 0 7 8 -1 8 6 1 2 = 1x2 Ax2 = 2 = 6 0 7 8 -1 8 -7 Ax3=0 1 =13x3 6 1 1 = 7 0 7 Need Help? Read It H O O
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