For the following matrices A, Computo AT. If A is a 2x2 matrix with real, different eigenvalues, draw the phase portraits. a) A = (-108/₂2 -=-1-2/ ·1.8 -0.8
For the following matrices A, Computo AT. If A is a 2x2 matrix with real, different eigenvalues, draw the phase portraits. a) A = (-108/₂2 -=-1-2/ ·1.8 -0.8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:For the following matrices A,
Computo AT. If A is a 2x2 matrix
with real, different eigenvalues,
draw the phase portraits.
a) A₂= /-1.8 -0.8°
a) A= (
-1.2
-0.2
Expert Solution
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Follow-up Questions
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Follow-up Question

Transcribed Image Text:Now,
e
At
2₁ = -19
The coresponding eigen vectors are,
+1 (1)
22-
₂² (1)
Hence, the matrix exponential should be:
et
1) (( ²² e+)(
et
(1
Cette
。
6
22
the
L
e-t
et - 16e-t
-et-ge-t.
2
5/
(C)
(1
4
- e² + 4e-t
et tet
-1
Since the eigen values are
1₁= -1 and 1₂ = -2
shouldn't
e At = VOV¹
v@v-
3 (= + (-26) ?
Solution
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