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      <text>7.2.5.2 Non-square multiplication example</text>
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      <text><![CDATA[<h4 class="HELM_example">Example</h4>
<p>Find the product \(AB\) if \(A = \begin{bmatrix} 1 &amp; 2 &amp; 2 \\ 2 &amp; 3 &amp; 4 \end{bmatrix}\) and \(B = \begin{bmatrix} 2 &amp; 5 \\ 6 &amp; 1 \\ 4 &amp; 3 \end{bmatrix}\) </p>
<h4 class="HELM_solution">Solution</h4>
<p>Since \(A\) is a \(2\times3\) matrix and \(B\) is a \(3\times2\) the product \(AB\) can be found and results in a \(2\times2\) matrix. \begin{align*} AB &amp; = \begin{bmatrix} 1 &amp; 2 &amp; 2 \\ 2 &amp; 3 &amp; 4 \end{bmatrix}\begin{bmatrix} 2 &amp; 5 \\ 6 &amp; 1 \\ 4 &amp; 3 \end{bmatrix} \\
&amp; = \begin{bmatrix}
\begin{bmatrix} 1 &amp; 2 &amp; 2\end{bmatrix} \begin{bmatrix} 2 \\ 6 \\ 4 \end{bmatrix} &amp; \begin{bmatrix}
1 &amp; 2 &amp; 2 \end{bmatrix} \begin{bmatrix} 5 \\ 1 \\ 3 \end{bmatrix}
\\ \\
\begin{bmatrix} 2 &amp; 3 &amp; 4 \end{bmatrix} \begin{bmatrix} 2 \\ 6 \\ 4 \end{bmatrix} &amp; \begin{bmatrix}
2 &amp; 3 &amp; 4 \end{bmatrix} \begin{bmatrix} 5 \\ 1 \\ 3 \end{bmatrix}
\end{bmatrix} \\
&amp; = \begin{bmatrix} 22 &amp; 13 \\ 38 &amp; 25 \end{bmatrix}\end{align*}</p>]]></text>
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