Chapter 9.4, Problem 17E

In Problems 13-19, determine whether the given vector functions are linearly dependent $\left(LD\right)$ or linearly independent $\left(LI\right)$ on the interval $\left(-\infty ,\infty \right)$.

$e^{2t}\left[\begin{array}{c}1\\ 0\\ 5\end{array}\right]\text{, }{e}^{2t}\left[\begin{array}{c}1\\ 1\\ -1\end{array}\right],e^{3t}\left[\begin{array}{c}0\\ 1\\ 0\end{array}\right]$