If A and B are invertible matrices of the same order, then (AB)-1=B-1

1.	If A and B are invertible matrices of the same order, then (AB)-1=B-1 A-1.
A.	True
B.	False
Answer» B.

Discussion

Find the inverse of A=\(\begin{bmatrix}5&3\\4&1\end{bmatrix}\).
Find the inverse of matrix A=\(\begin{bmatrix}5&1&3\\4&2&6\\5&4&2\end{bmatrix}\)
Which among the below matrices has the inverse A-1=\(\begin{bmatrix}1&-\frac{5}{8}\\0&\frac{1}{8}\end{bmatrix}\)
Which of the following is the inverse of the matrix A=\(\begin{bmatrix}8&1\\1&2\end{bmatrix}\)?
The inverse of the matrix A=\(\begin{bmatrix}1&2&4\\5&2&4\\3&6&2\end{bmatrix}\) is
If A and B are invertible matrices of the same order, then (AB)-1=B-1 A-1.
Which among the following is inverse of the matrix A=\(\begin{bmatrix}2&3\\5&1\end{bmatrix}\) ?