[17 2. Consider the matrix A = 8 2 -20 -9 -2 eigenvector w so that: (A-AI) W a. W = -141 -8 You can check that it has only one independent eigenvector v = 6 for this repeated eigenvalue. Find a generalized 1 for which 3 is a triple eigenvalue: = ✓ where = 3 and is the corresponding eigenvector. 1 H b. W=0 C. W = H d. w = [3/2] 1 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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[17 -20
-9
-2
2. Consider the matrix A = 8
2
a. w =
You can check that it has only one independent eigenvector
eigenvector w so that: (A - λI) W
=
H
b. w
-14]
-8, for which λ = 3 is a triple eigenvalue:
1
=
မြဲ
for this repeated eigenvalue. Find a generalized
where λ = 3 and is the corresponding eigenvector.
=
C.
W =
-13
d. W =
Transcribed Image Text:[17 -20 -9 -2 2. Consider the matrix A = 8 2 a. w = You can check that it has only one independent eigenvector eigenvector w so that: (A - λI) W = H b. w -14] -8, for which λ = 3 is a triple eigenvalue: 1 = မြဲ for this repeated eigenvalue. Find a generalized where λ = 3 and is the corresponding eigenvector. = C. W = -13 d. W =
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