[latex]
\[
\textbf{Divide the Identity Matrix A by the Identity Matrix B, where:}
\]
\[
A = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
\]
\[
\textbf{Solution: The division of identity matrices results in an identity matrix.}
\]
\[
A \div B = \begin{pmatrix} \frac{1}{1} & 0 \\ 0 & \frac{1}{1} \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
\]
\[
\textbf{Answer: } \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
\]
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