A =|2
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
Transcribed Image Text:4.
-2
2
A =| 2
2
-2
4
Step 4:
Find a possible basis for the larger eigenvalue 12.
There are infinitely many possibilities but we will restrict ourselves to fill in only either 1 or 0.
In case you need only one vector, fill the vector on the left with numbers as instructed and fill
in each of the entries of the vector on the right with X's (Capital X).
Answer: a basis for the eigenspace corresponding to the larger eigenvalue 12 is
where a=
, b=
C=
d=
e=
2.
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