Write the given linear system in matrix form. dr dt -3x + 4y + et sin(2t) dy 5x +9z +4et cos(2t) || dt dz # = y + 6z – e-t -3 4 0 et sin2t X' = 0 9 et cos2t 1 6 0 et -3 4 0 et sin2t X + et cos2t %3D 0. 1 6 e t -3 0 4 et sin2t 0. 59 X + et cos2t %3D 1 6 0 e-t -3 4 0 e-t sin2t X' = 0 9 X+ e-t cos2t %3D 1 6 et

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 5CC: What operations can be performed on a linear system to arrive at an equivalent system?
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1) Please help with following multiple choice ASAP!

Write the given linear system in matrix form.
dx
-3x+4y+ et sin(2t)
dt
dy
= 5x + 9z + 4et cos(2t)
dt
dz
=y+6z- e-t
dt
-3
4 0
e-t sin2t
X' =
9.
e-t cos2t
1
6 0
et
-3 4 0
et sin2t
X' =
et cos2t
0 9
0 1 6
X+
%3D
et
-3 0 4
et sin2t
X' =
0 5 9
X+
e-t cos2t
1
6 0
e-t
e-t sin2t
-3 4 0
5 0 9
0 1 6
X' =
X+
et cos2t
e t
Transcribed Image Text:Write the given linear system in matrix form. dx -3x+4y+ et sin(2t) dt dy = 5x + 9z + 4et cos(2t) dt dz =y+6z- e-t dt -3 4 0 e-t sin2t X' = 9. e-t cos2t 1 6 0 et -3 4 0 et sin2t X' = et cos2t 0 9 0 1 6 X+ %3D et -3 0 4 et sin2t X' = 0 5 9 X+ e-t cos2t 1 6 0 e-t e-t sin2t -3 4 0 5 0 9 0 1 6 X' = X+ et cos2t e t
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