If A and B are any two square matrices of the same order, th... | MATH - SPECIAL TYPES OF MATRICES, TRANSPOSE, ADJOINT AND INVERSE OF MATRICES | SolveeIt | Solveeit

Today, August 18

Question

If A and B are any two square matrices of the same order, then

A

(AB)′ = A′B′

B

adj(AB) = adj(1) adj(2)

C

(AB)′ = B′A′

D

AB = O ⇒ A = O or B = O

Answer

(AB)′ = B′A′

Explanation

Solution

Multiplication of square matrices is a square matrix of same order and by property of transpose.