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If A=[(2,2),(-3,2)], B=[(0,-1),(1,0)] th...

If `A=[(2,2),(-3,2)], B=[(0,-1),(1,0)]` then `(B^(-1)A^(-1))^(-1)` is equal to

A

`[(2,-2),(2,3)]`

B

`[(2,2),(-2,3)]`

C

`[(2,-3),(2,2)]`

D

`[(1,-1),(-2,3)]`

Text Solution

Verified by Experts

The correct Answer is:
A
Given `A=[(2,2),(-3,2)],B=[(0,-1),(1,0)]`
`:.(B^(-1)A^(-1))^(-1)=(A^(-1))^(-1)(B^(-1))^(-1) [ :' (AB)^(-1)=B^(-1)A^(-1)]`
`=AB [ :' (A^(-1))^(-1)=A^(-1)]`
`=[(2,2),(-3,2)][(0,-1),(1,0)]`
`=p[(0+2,-2+0),(0_2,3+0)]=[(2,-2),(2,3)]`
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