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Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. в -1 8] A, - в, х, - (1, 0, о) A2 = 6, x2 = (1, 2, 0) A3 = 7, x3 = (-7, 1, 1) A = 6 1 0 7 8 -1 8 Ax, = 6 1 0 0 7 8 -1 8 6 1 Ax2 = 6 2 0 7 8 -1 8 Ax3= 6 1 0 7

Verify that i, is an eigenvalue of A and that x, is a corresponding eigenvector. в -1 8] A, - в, х, - (1, 0, о) A2 = 6, x2 = (1, 2, 0) A3 = 7, x3 = (-7, 1, 1) A = 6 1 0 7 8 -1 8 Ax, = 6 1 0 0 7 8 -1 8 6 1 Ax2 = 6 2 0 7 8 -1 8 Ax3= 6 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. A1 = 8, x, = (1, 0, 0) 1 12 - 6, x, = (1, 2, 0) 0 7, 8 -1 8 A = 13 = 7, x, = (-7, 1, 1) 8 -1 8 6 1 1 1 Ах, 3 = 8 0 -1,x1 0 7 8 -1 8 6 1 1 1 Ax2 = = 6 2 = 1,x2 2 0 7 8 -1 8 Ax3 =0 6 1 0 7 1
Transcribed Image Text:Verify that 2; is an eigenvalue of A and that x, is a corresponding eigenvector. A1 = 8, x, = (1, 0, 0) 1 12 - 6, x, = (1, 2, 0) 0 7, 8 -1 8 A = 13 = 7, x, = (-7, 1, 1) 8 -1 8 6 1 1 1 Ах, 3 = 8 0 -1,x1 0 7 8 -1 8 6 1 1 1 Ax2 = = 6 2 = 1,x2 2 0 7 8 -1 8 Ax3 =0 6 1 0 7 1
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