-4 3 Find the matrix exponential function eAt. Let A -3 cos(3t) sin(3t) sin(3t) cos(3t). eAt -4t = é eAt -4t = e cos(3t) sin(3t) sin(3t) cos(3t), eAt = est = e3t cos(4t) - sin(4t)] sin(4t) cos(4t) eAt cos(4t) sin(4t) e3t sin(4t) cos(4t). None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 49E
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Question
-4
3
Find the matrix exponential function eAt.
-4
Let A
-3
cos(3t) sin(3t)
sin(3t) cos(3t).
eAt
-4t
= e
cos(3t)
sin(3t)
-4t
= e
– sin(3t) cos(3t).
cos(4t) - sin(4t)
e3t
sin(4t)
cos(4t)
3t [cos(4t) sin(4t)
| sin(4t) cos(4t)|
O None of the above
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Transcribed Image Text:-4 3 Find the matrix exponential function eAt. -4 Let A -3 cos(3t) sin(3t) sin(3t) cos(3t). eAt -4t = e cos(3t) sin(3t) -4t = e – sin(3t) cos(3t). cos(4t) - sin(4t) e3t sin(4t) cos(4t) 3t [cos(4t) sin(4t) | sin(4t) cos(4t)| O None of the above || ||
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