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For X₂ = 5, X₂I - A = and the RREF of the augmented matrix is [1 0 0 0 0 1 1 0 00 0 0 X = 2 So the eigenspace Ex, has a basis 2 t Thus, the general solution to (λ₂I − A)x = 0 is 020 = t 22 {--[]} V3

For X₂ = 5, X₂I - A = and the RREF of the augmented matrix is [1 0 0 0 0 1 1 0 00 0 0 X = 2 So the eigenspace Ex, has a basis 2 t Thus, the general solution to (λ₂I − A)x = 0 is 020 = t 22 {--[]} V3

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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For X₂ = 5, X₂I - A = and the RREF of the augmented matrix is [1 0 0 0 0 1 1 0 00 0 0 X = 2 So the eigenspace Ex, has a basis 2 t Thus, the general solution to (λ₂I − A)x = 0 is 020 = t 22 {--[]} V3
Transcribed Image Text:For X₂ = 5, X₂I - A = and the RREF of the augmented matrix is [1 0 0 0 0 1 1 0 00 0 0 X = 2 So the eigenspace Ex, has a basis 2 t Thus, the general solution to (λ₂I − A)x = 0 is 020 = t 22 {--[]} V3
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