Two vectors $\left[\begin{array}{llll}2 & 1 & 0 & 3\end{array}\right]^{T} $ and $\left[\begin{array}{cccc}1 & 0 & 1 & 2\end{array}\right]^{T}$ belong to the null space of a $4 \times 4$ matrix of rank $ 2.$ Which one of the following vectors also belongs to the null space?
- $\left[\begin{array}{llll}1 & 1 & -1 & 1\end{array}\right]^{T}$
- $\left[\begin{array}{llll}2 & 0 & 1 & 2\end{array}\right]^{T}$
- $\left[\begin{array}{llll}0 & -2 & 1 & -1\end{array}\right]^{T}$
- $\left[\begin{array}{llll}3 & 1 & 1 & 2\end{array}\right]^{T}$