Multiply the Scalar Matrices A and B

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