Consider the First-Order Homogeneous System of Linear Differential Equations
$\psi(t)=\left(\begin{array}{l}4 e^{12 t}-4 e^{-12 t} \\ 3 e^{12 t}-3 e^{-12 t}\end{array}\right)$

Multiple Choice

Consider the first-order homogeneous system of linear differential equations

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

A) $\psi(t) =\left(\begin{array}{l}4 e^{12 t}-4 e^{-12 t} \\ 3 e^{12 t}-3 e^{-12 t}\end{array}\right)$
B) $\Psi(t) =\left(\begin{array}{l}4 e^{12 t}-4 e^{-12 t} \\ 3 e^{12 t} 3 e^{-12 t}\end{array}\right)$
C) $\psi(t) =\left(\begin{array}{ll}9 e^{-16 t} & -9 e^{9 t} \\ 16 e^{-16 t} & 16 e^{9 t}\end{array}\right)$
D) $\psi(t) =\left(\begin{array}{ll}9 e^{-16 t} & 9 e^{9 t} \\ -16 e^{-16 t} & 16 e^{9 t}\end{array}\right)$