4. -2 2 A = 2 2 -2 4 In this assignment, we will diagonalize A. STEP 1: Solve the characteristic equation det(A – AI3) = 0 to find the eigenvalues and their multiplicities. Answer: The smaller one is à1 = with multiplicity The other (the larger one) is 12= with multiplicity Reminder: À1 < d2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4.
-2
2
A = 2
2
2 -2 4
In this assignment, we will diagonalize A.
STEP 1:
Solve the characteristic equation det(A – AI3) = 0 to find the eigenvalues and their
multiplicities.
Answer:
The smaller one is à1 =
with multiplicity
The other (the larger one) is d2=
with multiplicity
Reminder: λι < λ .
Transcribed Image Text:4. -2 2 A = 2 2 2 -2 4 In this assignment, we will diagonalize A. STEP 1: Solve the characteristic equation det(A – AI3) = 0 to find the eigenvalues and their multiplicities. Answer: The smaller one is à1 = with multiplicity The other (the larger one) is d2= with multiplicity Reminder: λι < λ .
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