Multiply Matrix A (2×3) by Matrix B (3×2)

[latex] \[
\textbf{Multiply Matrix A (2×3) by Matrix B (3×2), where:}
\]
\[
A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix}, \quad B = \begin{pmatrix} 7 & 8 \\ 9 & 10 \\ 11 & 12 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
A \times B = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix} \times \begin{pmatrix} 7 & 8 \\ 9 & 10 \\ 11 & 12 \end{pmatrix}
\]
\[
= \begin{pmatrix}
(1 \cdot 7 + 2 \cdot 9 + 3 \cdot 11) & (1 \cdot 8 + 2 \cdot 10 + 3 \cdot 12) \\
(4 \cdot 7 + 5 \cdot 9 + 6 \cdot 11) & (4 \cdot 8 + 5 \cdot 10 + 6 \cdot 12)
\end{pmatrix}
\]
\[
= \begin{pmatrix} 58 & 64 \\ 139 & 154 \end{pmatrix}
\]