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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
can you explain step by step how to get the circled part
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbee182a-544b-4a35-ae8e-c9ecfc559983%2F316146b2-ed0d-406c-b404-be947466556b%2Fwmfal8s_processed.png&w=3840&q=75)
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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