Question: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 1 0 0 A = 10 00 0 0 0

Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 1 0 0 A = 10 00 0 0 0 1 0 0 -52 Choose the correct answer below. e - 0 t - t et - t O A. X(t) = O o - e t X(t) = e 0 0 0 e 2t cost e 2t sin t 0 O e cos 2t el sin 2t 0 0 e 2t(2 cost - sint) e 2t(2 sint + cost) 0 0 et( cos 2t - 2 sin 2t) e ( sin 2t + 2 cos 2t)

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