How to Write a Linear System in Matrix Form

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Homework Statement


Write the given system in the form [tex]x'=P(t)x + f(t)[/tex]

[tex]x'=-3y , y'=3x[/tex]


Homework Equations


[tex]x'=P(t)x + f(t)[/tex]
[tex]x(t)=c_1x_1(t)+c_2x_2(t)+...+c_nx_n(t)[/tex]

The Attempt at a Solution


I have no idea how to start this since my teacher never covered this in our notes and the book doesn't give an example of this type of problem. Please help!
 
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