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If `A = [a_(ij)]` is a square matrix of order 2 such that `a_(ij) ={(1," when "i ne j),(0," when "i =j):}` , then `A^(2)` is:

A

`[[1, 0], [1, 0]]_(2 times 2)`

B

`[[1, 1], [0, 0]]_(2 times 2)`

C

`[[1, 1], [1, 0]]_(2 times 2)`

D

`[[1, 0], [0, 1]]_(2 times 2)`

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