Chapter 9.4, Problem 19E

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

19. $\left[\begin{array}{c}1\\ 0\\ 1\end{array}\right]\text{, }\left[\begin{array}{c}t\\ 0\\ t\end{array}\right],\left[\begin{array}{c}{t}^2\\ 0\\ t^2\end{array}\right]$