Let X be the matrix function cos(3 t) sin(3 ) X(t) sin(3 t cos(3 t) Determine if X is a fundamental matrix for system x ' = Ax with 0 A= 3 -3 0 If so, find the solution of the system that satisfies 3 x(0) -5 sin(3t) cos(3t) = 5 3 a) sin(3t) -cos(3) sin(3 ) cos(3t) b) sin(3 t) cos(31) sin(3t) cos(3t) 3 sin(3 t) -cos(3) Not a fundamental solution set d) sin(3 t) cos(3 t) 5 sin(3 t) -cos(3 t) None of the above f)

Let X be the matrix function cos(3 t) sin(3 ) X(t) sin(3 t cos(3 t) Determine if X is a fundamental matrix for system x ' = Ax with 0 A= 3 -3 0 If so, find the solution of the system that satisfies 3 x(0) -5 sin(3t) cos(3t) = 5 3 a) sin(3t) -cos(3) sin(3 ) cos(3t) b) sin(3 t) cos(31) sin(3t) cos(3t) 3 sin(3 t) -cos(3) Not a fundamental solution set d) sin(3 t) cos(3 t) 5 sin(3 t) -cos(3 t) None of the above f)

Name: Please find the problem statement attached. Let X be the matrix functi
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Description: Please find the problem statement attached. Let X be the matrix functioncos(3 t)sin(3 )X(t)sin(3 tcos(3 t)Determine if X is a fundamental matrix for system x ' = Ax with0A=3-30If so, find the solution of the system that satisfies3x(0)-5sin(3t)cos(3t)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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