{Multiply Matrix A (3×2) by Matrix B (2×4), where:
[latex]
\[
\textbf{Multiply Matrix A (3×2) by Matrix B (2×4), where:}
\]
\[
A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{pmatrix}, \quad B = \begin{pmatrix} 7 & 8 & 9 & 10 \\ 11 & 12 & 13 & 14 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
A \times B = \begin{pmatrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{pmatrix} \times \begin{pmatrix} 7 & 8 & 9 & 10 \\ 11 & 12 & 13 & 14 \end{pmatrix}
\]
\[
= \begin{pmatrix}
(1 \cdot 7 + 2 \cdot 11) & (1 \cdot 8 + 2 \cdot 12) & (1 \cdot 9 + 2 \cdot 13) & (1 \cdot 10 + 2 \cdot 14) \\
(3 \cdot 7 + 4 \cdot 11) & (3 \cdot 8 + 4 \cdot 12) & (3 \cdot 9 + 4 \cdot 13) & (3 \cdot 10 + 4 \cdot 14) \\
(5 \cdot 7 + 6 \cdot 11) & (5 \cdot 8 + 6 \cdot 12) & (5 \cdot 9 + 6 \cdot 13) & (5 \cdot 10 + 6 \cdot 14)
\end{pmatrix}
\]
\[
= \begin{pmatrix} 29 & 32 & 35 & 38 \\ 65 & 72 & 79 & 86 \\ 101 & 112 & 123 & 134 \end{pmatrix}
\]