Multiply the Identity Matrices A and B

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