Hi, Please can someone help me on how to do this exercise.

Give a fundamental matrix for the system:

{x'(t)=-y(t)

{y'(t)=20x(t)-4y(t)

the solution is like:

{v1(t)=e^(2t)*cos(4t)[1;4]+e^(2t)*sin(4t)[-1;-2], v2(t)=e^(2t)*cos(4t)[1;4]+e^(2t)*sin(4t)[0;-4]}

[1;4].......are colunm vectors.

IT is just aform sample.since it is a multiple choice question, I just took one solution to show you what it might look like.

Thank you,

B