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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
a. `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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