Find the state transition matrix of the following system: where A= [ 31 B= H c = [0 1] -4 -3. e-(cos2t + sin2t) 2e-tsin2t e-tsin2t e-(cos2t – sin2t). Ob. -e-tsin2t [e-t(cos2t + sin2t) -2e-tsin2t e-(cos2t – sin2t). c. -e-tsin2t [e-"(cos2t + sin2t) 2e-tsin2t e-t(cos2t – sin2t). d. (cos2t + sin2t) e-tsin2t (cos2t + sin2t) e-tsin2t imz)] [* -2e-tsin2t e-(cos2t – sin2t)l -2e-tsin2t e-t(cos2t – sin2t)]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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where A = \-4
Find the state transition matrix of the following system:
where A = [ 31 B = [ c = [0 1]
-3.
e(cos2t + sin2t)
2e-tsin2t
e-tsin2t
e-'(cos2t – sin2t)
Ob.
-e-tsin2t
[e-t(cos2t + sin2t)
-2e-tsin2t
e-(cos2t – sin2t).
c.
-e-lsin2t
[e-t(cos2t + sin2t)
2e-tsin2t
e-t(cos2t – sin2t).
d.
(cos2t + sin2t)
e-tsin2t
(cos2t + sin2t)
e-tsin2t
-2e-tsin2t
e-(cos2t – sin2t)l
-2e-tsin2t
e-(cos2t – sin2t)l
CLEAR MY CHOICE
Transcribed Image Text:where A = \-4 Find the state transition matrix of the following system: where A = [ 31 B = [ c = [0 1] -3. e(cos2t + sin2t) 2e-tsin2t e-tsin2t e-'(cos2t – sin2t) Ob. -e-tsin2t [e-t(cos2t + sin2t) -2e-tsin2t e-(cos2t – sin2t). c. -e-lsin2t [e-t(cos2t + sin2t) 2e-tsin2t e-t(cos2t – sin2t). d. (cos2t + sin2t) e-tsin2t (cos2t + sin2t) e-tsin2t -2e-tsin2t e-(cos2t – sin2t)l -2e-tsin2t e-(cos2t – sin2t)l CLEAR MY CHOICE
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