​ If A a = [aij] is a square matrix of order 2 such that aij = , then A^2 is ​

Question

If A a = [a_ij] is a square matrix of order 2 such that a_ij = \(\begin{cases}1,when\ i≠j\\0,when\ i = j\end{cases}\), then A² is

(a) \(\begin{bmatrix}1&0\\1&0\end{bmatrix}\)

(b) \(\begin{bmatrix}1&1\\0&0\end{bmatrix}\)

(c) \(\begin{bmatrix}1&1\\1&0\end{bmatrix}\)

(d) \(\begin{bmatrix}1&0\\0&1\end{bmatrix}\)

Answer 1

Correct option is   (d) \(\begin{bmatrix}1&0\\0&1\end{bmatrix}\)

A² = \(\begin{bmatrix}1&0\\0&1\end{bmatrix}\)