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If A=[(costheta,sintheta),(-sintheta,cos...

If `A=[(costheta,sintheta),(-sintheta,costheta)]` and `A(a d j\ A)=[(k,0),( 0,k)]` , then find the value of `k` .

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Given,`A=[(costheta,sintheta),(-sintheta,costheta)]`
=`|A|=1`
as `A(adj(A))=|A|I=1.I`
`[[1,0],[0,1]]`
or `[[k,0],[0,k]]`
thus k=1
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