Consider the First-Order Homogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{ll}-e^{-4 t} \sin (7 t) & e^{-4 t} \cos (7 t) \\ e^{-4 t} \cos (7 t) & -e^{-4 t} \sin (7 t)\end{array}\right)$

Multiple Choice

Consider the first-order homogeneous system of linear differential equations

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

A) $\psi(t) =\left(\begin{array}{ll}-e^{-4 t} \sin (7 t) & e^{-4 t} \cos (7 t) \\ e^{-4 t} \cos (7 t) & -e^{-4 t} \sin (7 t) \end{array}\right)$
B) $\psi(t) =\left\{\begin{array}{ll}e^{4 t} \sin (7 t) & -e^{4 t} \cos (7 t) \\ -e^{4 t} \cos (7 t) & e^{4 t} \sin (7 t) \end{array}\right)$
C) $\psi(t) =\left(\begin{array}{ll}e^{4 t} \sin (7 t) & -e^{4 t} \cos (7 t) \\ e^{4 t} \cos (7 t) & e^{4 t} \sin (7 t) \end{array}\right)$
D) $\psi(t) =\left(\begin{array}{ll}e^{-4 t} \sin (7 t) & -e^{-4 t} \cos (7 t) \\ e^{-4 t} \cos (7 t) & e^{-4 t} \sin (7 t) \end{array}\right)$