Find the null space of the matrix $\begin{pmatrix} 1 & 2 & -1 \\ 3 & -3 & 1 \end{pmatrix}$

Let $L: \mathbb{R}^3 \rightarrow \mathbb{R}^2$  be a linear map represented by the matrix

$$\begin{pmatrix} 1 & 2 & -1 \\ 3 & -3 & 1 \end{pmatrix}.$$
Find the null space of $L$.

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Erdos Erdos
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