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

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

\(\mathbf{A}=\left[\begin{array}{ccc}2 & 0 & 1 \\ -1 & 1 & 3 \\ 2 & -2 & 3\end{array}\right]\)

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