Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. A1 = 9, x₁ = (1, 0, 0) 7 1 2₂ = 7, x₂ = (1, 2, 0) 08 23= 8, x3 = (-5, 1, 1) ;] 22 DE-¤~ Ax1 = AX2 = Ax3 9-16 A = 0 0 9-16 1 7 1 08 0 0 9-16 ~0~ ↓ 1 7 08 0 9-16 0 7 1 0 08 = -5 = 21x1 - = 22x2 -5 -[]-* = 8 1 = λ3x3 1
Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. A1 = 9, x₁ = (1, 0, 0) 7 1 2₂ = 7, x₂ = (1, 2, 0) 08 23= 8, x3 = (-5, 1, 1) ;] 22 DE-¤~ Ax1 = AX2 = Ax3 9-16 A = 0 0 9-16 1 7 1 08 0 0 9-16 ~0~ ↓ 1 7 08 0 9-16 0 7 1 0 08 = -5 = 21x1 - = 22x2 -5 -[]-* = 8 1 = λ3x3 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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