Does anyone know, where I can find a reference (preferably a book) which says that the general linear group $\text{GL}_{2}(\mathbb{Z})$ is generated by the set
$$\left\{\begin{bmatrix} 1&0\\0&-1\end{bmatrix}, \begin{bmatrix} 0&1\\1&0\end{bmatrix}, \begin{bmatrix} 1&1\\0&1\end{bmatrix}\right\}$$
Thank you in advance.