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) $\psi(t) =\left(\begin{array}{ll}5 e^{5 t} & -e^{3 t} \\ -3 e^{5 t} & e^{3 t}\end{array}\right)$
B) $\Psi(t) =\left(\begin{array}{cc}-3 e^{5 t} & e^{3 t} \\ 5 e^{5 t} & -e^{3 t}\end{array}\right)$
C) $\psi(t) =\left(\begin{array}{ll}-3 e^{-5 t} & e^{-3 t} \\ 5 e^{-5 t} & -e^{-3 t}\end{array}\right)$
D) $\psi(t) =\left(\begin{array}{ll}5 e^{-5 t} & -e^{-3 t} \\ -3 e^{-5 t} & e^{-3 t}\end{array}\right)$