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A is an involutory matrix given by A=[{:...

A is an involutory matrix given by `A=[{:(0,1,-1),(4,-3,4),(3,-3,4):}]`then the inverse of `(A)/(2)` will be

A

`2A`

B

`A^(-1)/2`

C

`A/2`

D

`A^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`because` A is involutory
`therefore A^(2) I rArr A = A^(-1)`
`therefore (A/2)^(-1) = 2 A^(-1) = 2 A `
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