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Let \(\mathbf{A}=\begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}\) and \(\mathbf{B}=\begin{pmatrix} 3 & 0 \\ 1 & -1 \end{pmatrix}\).
  1. Calculate the product \(\mathbf{A}\mathbf{B}\).
  2. Calculate the product \(\mathbf{B}\mathbf{A}\).
  3. Hence, conclude whether \(\mathbf{A}\mathbf{B} = \mathbf{B}\mathbf{A}\).

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