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A is an involuntary matrix given by A=|[...

`A` is an involuntary matrix given by `A=|[0, 1,-1], [4,-3, 4], [3,-3, 4]|` , then the inverse of `A//2` will be `2A` b. `(A^(-1))/2` c. `A/2` d. `A^2`

A

`2A`

B

`A^(-1)/2`

C

`A/2`

D

`A^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
A is involuntary. Hence,
`A^(2)=I implies A=A^(-1)`
Also, `(kA)^(-1)=1/k (A)^(-1)`
or `(1/2 A)^(-1) =2(A)^(-1)` or `2A`
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