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Identity matrix

A square matrix with \(1\)s on its main diagonal and \(0\)s elsewhere,

\begin{equation*} I_n = \begin{pmatrix} 1 & 0 & \cdots & 0 \\ 0 & 1 & \cdots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ 0 & 0 & \cdots & 1 \end{pmatrix}. \end{equation*}

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