\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For a square matrix of order 2, \(\mathbf{A}=\begin{pmatrix} x & y \\ z & w \end{pmatrix}\), prove that \(\mathbf{A} + (-\mathbf{A}) = \mathbf{0}\), where \(\mathbf{0}\) is the \(2 \times 2\) zero matrix.
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