Consider the First-Order Nonhomogeneous Initial Value Problem

Which of These

Multiple Choice

Consider the first-order nonhomogeneous initial value problem

Which of these is the fundamental matrix (t) for this system?

A) $\psi(t) =\left(\begin{array}{ll}-9 e^{-5 t} & e^{-4 t} \\ 3 e^{-5 t} & 0\end{array}\right)$
B) $\psi(t) =\left(\begin{array}{ll}-9 e^{-5 t} & 0 \\ 3 e^{-5 t} & e^{-4 t}\end{array}\right)$
C) $\psi(t) =\left(\begin{array}{l}9 e^{5 t} e^{-4 t} \\ 3 e^{5 t} 0\end{array}\right)$
D) $\psi(t) =\left(\begin{array}{ll}9 e^{5 t} & 0 \\ 3 e^{5 t} & e^{-4 t}\end{array}\right)$