For the system X' = AX, if the eigenvector associated with the eigenvalue (-2 + i) is L. Then, which of the following is considered as a fundamental matrix for 1+il that system? 2e-2t cost a) 2e-2t sint -e-2t sint)] -2t cost et cost b) Fetcost -e'sint! etsint -2t cost e-2t sint -2t (cost – sint). e (cost + sint) e 2e-2t sint d) -e-2t(cost + sint) e-2t(cost – sint). 2e-2t cost

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For the system X' = AX, if the eigenvector associated with the eigenvalue (-2 + i) is
L. Then, which of the following is considered as a fundamental matrix for
1+ il
that system?
2e-2t cost
a)
2e-2t sint
-e-2t sint)]
-2t
cost
et cost
b) Fet cost -etsint!
etsint
-2t cost
e-2t sint
-2t (cost – sint).
e
(cost + sint)
e
2e-2t sint
d) -e-2t(cost + sint) e-2t(cost – sint).
2e-2t cost
Transcribed Image Text:For the system X' = AX, if the eigenvector associated with the eigenvalue (-2 + i) is L. Then, which of the following is considered as a fundamental matrix for 1+ il that system? 2e-2t cost a) 2e-2t sint -e-2t sint)] -2t cost et cost b) Fet cost -etsint! etsint -2t cost e-2t sint -2t (cost – sint). e (cost + sint) e 2e-2t sint d) -e-2t(cost + sint) e-2t(cost – sint). 2e-2t cost
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