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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)]`
`therefore|A|=(x xx0-1)=-1`
`adj" A"=(adjA)/(|A|)=(-1)[(0,-1),(-1,x)]=[(0,1),(1,-x)]`
Since, it is given, `A=A^(-1)`
`implies[(x,1),(1,0)]=[(0,1),(1,-x)]`
`implies x=0` (By equality of matrices)
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