If matrix `A=([a_(i j)])_(2xx2)` , where `a_(i j)={1,\ if\ i!=j0,\ if\ i=j` , then `A^2` is equal to `I` (b) `A` (c) `O` (d) ` I`

Explanation

To solve the problem, we need to find the square of the matrix \( A \) defined as follows:

\[ A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \]
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