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Compute \(A B\) for \(A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix} \in M_{2, 3}(\mathbb{R})\) and \(B = \begin{pmatrix} 1 & 0 \\ 0 & 1 \\ 1 & 1 \end{pmatrix} \in M_{3, 2}(\mathbb{R})\).
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