6. Let and additionally we are given that -3 -5 A -3 1 20 1 1 3 A = 9][8 0 0 3 0 3 0 3 -1 -1 0 5 00 0-2 0 -3/35 -3/14 00 L1/10 :] [ What are the eigenvalues, and corresponding eigenspaces, of A? -1/7 1/35 1/7 1/14 0 3/10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Let
and additionally we are given that
-3
-5
1
A =
-3
A =
17
2 0
13
0 3
5
0 0
0 -2 0
0 0 0
What are the eigenvalues, and corresponding eigenspaces, of A?
3
0
0
3 -1
0
-1
-3/35 -1/7 1/35
-3/14 1/7 1/14
1/10
0 3/10
Transcribed Image Text:6. Let and additionally we are given that -3 -5 1 A = -3 A = 17 2 0 13 0 3 5 0 0 0 -2 0 0 0 0 What are the eigenvalues, and corresponding eigenspaces, of A? 3 0 0 3 -1 0 -1 -3/35 -1/7 1/35 -3/14 1/7 1/14 1/10 0 3/10
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