Consider the following statements in respect of two non-singular matrices A and B of the same order n :
1.
2.
3. is a null matrix of order n.
How many of the above statements are correct?

Correct option is B

Given,
(i) adj (AB) = (adj A) (adj B)
= (adj B )(adj A)
(ii) adj (AB) = adj (BA)
= (adj A) (adj B)
(iii) (AB) adj (A B) - |AB|In is a null matrix of order n.
A (adj A) = |A| In
(AB) (adj AB) = |AB| In✔
Only one statement is correct.