Consider the First-Order Homogeneous System of Linear Differential Equations
$\left(\begin{array}{l}e^{-7 t} \\ 0\end{array}\right)$

Multiple Choice

Consider the first-order homogeneous system of linear differential equations

Select a pair of vectors from these choices that constitute a fundamental set of solutions for this system.

A) $\left(\begin{array}{l}e^{-7 t} \\ 0\end{array}\right)$
B) $\left(\begin{array}{l}0 \\ e^{-7 t}\end{array}\right)$
C) $\left(\begin{array}{l}e^{-7 t} \\ 2 e^{-7 t}\end{array}\right)$
D) $\left(\begin{array}{l}e^{-7 t} \\ 2(t+2) e^{-7 t}\end{array}\right)$
E) $\left(\begin{array}{l}t e^{-7 t} \\ 2 e^{-7 t}\end{array}\right)$
F) $\left(\begin{array}{l}e^{-7 t} \\ t e^{-7 t}\end{array}\right)$