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If A = [aij] is a square matrix of order 2 such that aij = \( \begin{cases} 1, when\,i\,≠\,j\\ 0, when\,i=j \end{cases}\),then A2 is :(a)\(\begin{bmatrix} 1& 0 \\[0.3em] 1 & 0 \end{bmatrix}\)(b) \(\begin{bmatrix} 1& 1 \\[0.3em] 0 & 0 \end{bmatrix}\)(c) \(\begin{bmatrix} 1& 1 \\[0.3em] 1 & 0 \end{bmatrix}\)(d) \(\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \end{bmatrix}\) |
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Answer» Option : (d). A2 =\(\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \end{bmatrix}\) \(A=\begin{bmatrix}0&1\\1&0\end{bmatrix}\) \(A^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}\) |
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