If A and B are invertible matrices of same order, then which of the following statement is not true?

Given A and B = invertible matrices

Order of A = Order of B

Here,

In first option,

$\left|{\mathrm{A}}^{-1}\right|=|\mathrm{A}{|}^{-1}$

So, this option is correct.

In second option

$\mathrm{adj}\mathrm{A}=\left|\mathrm{A}\right|{\mathrm{A}}^{-1}$

So, this option is correct.

In third option

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

So, this option is not correct.

In the last option

$(\mathrm{AB}{)}^{-1}={\mathrm{B}}^{-1}{\mathrm{A}}^{-1}$

So, this option is correct.