If matrix , where a ij = 1 if i ≠ j a ij = 0 if i = j, then A 2 is equal to

Question

Philoid · Accepted Answer

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.

If matrix , where aij = 1 if i ≠ jaij = 0 if i = j, then A2 is equal to