Consider three square matrices A ,   B and C of order 3 such that A T = A - 2 B and B T = B - 4 C , then the incorrect option is

Step-by-step solution

A T = A - 2 B ⇒ 2 B = A - A T ⇒ B is a skew symmetric matrix of order 3 ⇒ B = 0 B T = B - 4 C ⇒ 4 C = B - B T ⇒ C is a skew symmetric matrix of order 3 ⇒ C = 0 Taking transpose of first equation A T T = A - 2 B T ⇒ A = A T - 2 B T ⇒ A = A - 2 B - 2 B + 8 C ⇒ B = 2 C