Home
Class 12
MATHS
If A; B are invertible matrices of the s...

If A; B are invertible matrices of the same order; then show that `(AB)^-1 = B^-1 A^-1`

A

`AB^(-1)`

B

`A^(-1)B`

C

`A^(-1)B^(-1)`

D

`B^(-1)A^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(AB)^(-1)=B^(-1) A^(-1)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A (VALUE BASED QUESTIONS)|4 Videos

  • STRAIGHT LINE IN SPACE

    RS AGGARWAL|Exercise Objective Questions|19 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

Similar Questions

Explore conceptually related problems

If A and B are invertible matrices of the same order, then (AB)^(-1) is equal to :

If A and B are invertible matrices of the same order, then (AB)' is equal to

A and B are invertible matrices of the same order such that |(AB)^(-1)| =8, If |A|=2, then |B| is

[" A and "B" are invertible matrices of the same order such that "(AB)^(-1)|=8," If "|A|=2," then "],[|B|" is "],[[" (a) "16],[" (b) "4],[" (c) "6],[" (d) "(1)/(16)]]

If A and B are two invertible matrices of the same order, then adj (AB) is equal to

If A and B are square matrices of same order, then

If A and B are two matrices of the same order; then |AB|=|A||B|

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are invertible matrices of the same order then (A) Adj(AB)=(adjB)(adjA) (B) (A+B)^-1=A^-1+B^-1 (C) (AB)^-1=B^-1A^-1 (D) none of these