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If A=[(x,1),(1,0)] and A=A^(-1), then x=...

If `A=[(x,1),(1,0)] and A=A^(-1)`, then x= . . . .

A

0

B

4

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
We have, A=`[[x,1],[1,0]]`
`absA=("x"xx0-1)=-1`
adj A=`[[0,-1],[-1.x]]`
`A^(-1)=(adjA)/(absA)=(-1)[[0,-1],[-1,x]]=[[0,1],[1,-x]]`
Since, it is given, A=`A^(-1)`
`rArr[[x,1],[1,0]]=[[0,1],[1,-x]]`
`rArrx=0` {By equality of matrices}
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