If A = [a ij ] is a square matrix of even order such that a ij = i 2 – j 2 , then

Question

Philoid · Accepted Answer

a_ij = i² – j²

a11 = 12 – 12 = 0

a12 = 12 – 22 = -3

a21 = 22 – 12 = 3

a22 = 22 – 22 = 0

So, A^T = -A

|A| = 0(0) – (-3)(3) = 0 + 9 = 9 ≠ 0

So, none of these.

Option (D) is the answer.