Q59 of 146 Page 52

If matrix , where aij = 1 if i ≠ j

aij = 0 if i = j, then A2 is equal to

According to question:


a11 = 0 , a12 = 1 , a21 = 1 and a22 = 0


∴ A =


∴ A2 =


By matrix multiplication:


⇒ A2 = which matches with option (A)


∴ Option (A) is the correct answer.

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