Question:
Find the matrix \(A^{2}\), where \(A=[a_{ij}]\) is a \(2\times2\) matrix whose elements are given by \(a_{ij}=\) maximum (i, j) - minimum (i, j):
- A. \([\begin{matrix}0&0\\ 0&0\end{matrix}]\)
- B. \([\begin{matrix}1&0\\ 0&1\end{matrix}]\)
- C. \([\begin{matrix}0&1\\ 1&0\end{matrix}]\)
- D. \([\begin{matrix}1&1\\ 1&1\end{matrix}]\)