Solve the homogeneous linear system \(\mathbf{A x}=\mathbf{0}\), where the components of \(\mathbf{x}\) are \(x_{1}, x_{2}, \ldots, x_{n}\).

\(\mathbf{A}=\left[\begin{array}{ccc}5 & -3 & 2 \\ 0 & 2 & 4 \\ -3 & 2 & 6\end{array}\right]\)