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If A=[(cosx,sinx),(sinx,-cosx)] and A("a...

If `A=[(cosx,sinx),(sinx,-cosx)] and A("adj "A)=lamda[(1,0),(0,1)]`, then `lamda` is equal to

A

`sinx cosx`

B

`-1`

C

`-2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`A(adjA)=|A|l`
`=(-cos^(2)x-sin^(2)x)l=-[(1,0),(0,1)]`
`implieslamda=-1`
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