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...

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

Extracted text: 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)

Jun 04, 2022

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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...

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