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An identity matrix is a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros.
This can be expressed as:
\(a_{ij} = \begin{cases} 0, & \text{if } i \ne j \\ 1, & \text{if } i = j \end{cases}\)
Correct Answer: \(a_{ij}=\begin{cases}0,&if~i\ne j\\ 1,&if~i=j\end{cases}\)