Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 8 -1 8 11 = 8, x1 = (1, 0, 0) A = 6 1 12 = 6, x2 = (1, 2, 0) 23 = 7, x3 = (-7, 1, 1) 0 7 8 -1 8 6 1 1 1 Ax1 8 0 = 0 7 8 -1 8 1 1 Ax2 6 2 12x2 6 1 0 7 8 -1 8 -7 Ax3 6 1 0 7 1 = / 13X3 = 1
Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 8 -1 8 11 = 8, x1 = (1, 0, 0) A = 6 1 12 = 6, x2 = (1, 2, 0) 23 = 7, x3 = (-7, 1, 1) 0 7 8 -1 8 6 1 1 1 Ax1 8 0 = 0 7 8 -1 8 1 1 Ax2 6 2 12x2 6 1 0 7 8 -1 8 -7 Ax3 6 1 0 7 1 = / 13X3 = 1
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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