Q. If $A$ and $B$ are invertible matrices then which of the following is not correct?

2004 188 KCETKCET 2021Determinants Report Error

A

$adj A = ∣ A ∣ A^{- 1}$

21%

B

$det (A^{- 1}) = [det (A)]^{- 1}$

30%

C

$(A B)^{- 1} = B^{- 1} A^{- 1}$

3%

D

$(A + B)^{- 1} = B^{- 1} + A^{- 1}$

45%

Solution:

$(A + B)^{- 1} = B^{- 1} + A^{- 1}$