Multiply the Identity Matrices A and B

[latex] \[
\textbf{Multiply the Identity Matrices A and B, where:}
\]
\[
A = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
\]
\[
\textbf{Solution:}
\]
\[
A \times B = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \times \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
\]
\[
= \begin{pmatrix} (1 \cdot 1 + 0 \cdot 0) & (1 \cdot 0 + 0 \cdot 1) \\ (0 \cdot 1 + 1 \cdot 0) & (0 \cdot 0 + 1 \cdot 1) \end{pmatrix}
\]
\[
= \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
\]