Question
Mathematics Question on Matrix
If X and Y are invertible matrices of same order then
A
(XY)-1=X-1 y-1
B
(XY)-1=y-1 X-1
C
(XY)-1=X-1 Y-1 <
D
(XY)-1=XY-1
Answer
(XY)-1=y-1 X-1
Explanation
Solution
The correct option is(B): (XY)-1=y-1 X-1
If X and Y are invertible matrices of same order then
(XY)-1=X-1 y-1
(XY)-1=y-1 X-1
(XY)-1=X-1 Y-1 <
(XY)-1=XY-1
(XY)-1=y-1 X-1
The correct option is(B): (XY)-1=y-1 X-1