Multiply the Diagonal Matrices A and B
[latex]
\[
\textbf{Multiply the Diagonal Matrices A and B, where:}
\]
\[
A = \begin{pmatrix} 3 & 0 \\ 0 & 5 \end{pmatrix}, \quad B = \begin{pmatrix} 2 & 0 \\ 0 & 4 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
A \times B = \begin{pmatrix} 3 & 0 \\ 0 & 5 \end{pmatrix} \times \begin{pmatrix} 2 & 0 \\ 0 & 4 \end{pmatrix}
\]
\[
= \begin{pmatrix} (3 \cdot 2 + 0 \cdot 0) & (3 \cdot 0 + 0 \cdot 4) \\ (0 \cdot 2 + 5 \cdot 0) & (0 \cdot 0 + 5 \cdot 4) \end{pmatrix}
\]
\[
= \begin{pmatrix} 6 & 0 \\ 0 & 20 \end{pmatrix}
\]