If A and B are invertible matrices of the same order then

Question:

If $A$ and $B$ are invertible matrices of the same order then $(A B)^{-1}=?$

A. $\left(A^{-1} \times B^{-1}\right)$

B. $\left(A \times B^{-1}\right)$

C. $\left(A^{-1} \times B\right)$

D. $\left(B^{-1} \times A^{-1}\right)$

Solution:

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

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