\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For two square matrices of order 2, \(\mathbf{A}=\begin{pmatrix} x & y \\ z & w \end{pmatrix}\) and \(\mathbf{B}=\begin{pmatrix} x' & y' \\ z' & w' \end{pmatrix}\), prove that \(\mathbf{A} + \mathbf{B} = \mathbf{B} + \mathbf{A}\).
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