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Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 9 -1 5] 4 = 9, x, = (1, 0, 0) 0 71, 12 = 7, x, = (1, 2, 0) Lo o8] 2, - 8, x, = (-4, 1, 1) A = 9 -1 5 Ax, = 0 7 1 Lo 0 8l 9 -1 5 Ax, =|0 7 1 Lo 0 8 JL 2 9 -1 5 Ax, = 0 7 1 0 8

Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 9 -1 5] 4 = 9, x, = (1, 0, 0) 0 71, 12 = 7, x, = (1, 2, 0) Lo o8] 2, - 8, x, = (-4, 1, 1) A = 9 -1 5 Ax, = 0 7 1 Lo 0 8l 9 -1 5 Ax, =|0 7 1 Lo 0 8 JL 2 9 -1 5 Ax, = 0 7 1 0 8

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. 2 = 9, x, = (1, 0, 0) 12 - 7, x, = (1, 2, 0) 0 8] 9 -1 5 A = 7 1 23 = 8, x, = (-4, 1, 1) 9 -1 5 1 Ax, = 7 1 = 90 =1,x, 9 -1 5 1 1 Ax, =|0 0 0 8 7 2 = 1,x2 7 1 2 9 -1 5 -4 Ax3 =0 0 8 1 =13x3 7 1 1 8
Transcribed Image Text:Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 2 = 9, x, = (1, 0, 0) 12 - 7, x, = (1, 2, 0) 0 8] 9 -1 5 A = 7 1 23 = 8, x, = (-4, 1, 1) 9 -1 5 1 Ax, = 7 1 = 90 =1,x, 9 -1 5 1 1 Ax, =|0 0 0 8 7 2 = 1,x2 7 1 2 9 -1 5 -4 Ax3 =0 0 8 1 =13x3 7 1 1 8
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