Let M = 0 4 -4 -5 9 -6 € Mat(3, R). -4 5 -2 1. What is the characteristic polynomial of M (give your answer as a monic polynomial in terms of x)? 2. Is M triangularisable over C? Yes No 3. Is M triangularisable over R? Yes No

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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Let M
-
0
4 -4
-5 9 -6 € Mat(3, R).
–4
5 -2
1. What is the characteristic polynomial of M (give your answer as a monic polynomial in terms of x)?
2. Is M triangularisable over C?
Yes
No
3. Is M triangularisable over R?
Yes
No
Transcribed Image Text:Let M - 0 4 -4 -5 9 -6 € Mat(3, R). –4 5 -2 1. What is the characteristic polynomial of M (give your answer as a monic polynomial in terms of x)? 2. Is M triangularisable over C? Yes No 3. Is M triangularisable over R? Yes No
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