If A and B are invertible matrices of the same order, then which of the following statement is not true ?
Answer & explanation
Correct answer: option 3
$\text{Given }A,B \text{ are invertible matrices.}$
$|A^{-1}|=|A|^{-1}\;\text{True}.$
$|A|A^{-1}=\text{Adj }A\;\text{True}.$
$(AB)^{-1}=B^{-1}A^{-1}\;\text{True}.$
$(A+B)^{-1}=A^{-1}+B^{-1}\;\text{Not true in general}.$
$\text{Not true statement is }(A+B)^{-1}=B^{-1}+A^{-1}.$