For example, if we consider a $3 \times 3$ matrix, the identity matrix $I$ is given by
\[I = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\]
and the matrix $A$ is such that its $i$th row is identical to the $i$th row of $I$.
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