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The multiplicative inverse of `A = [(cos theta,-sin theta),(sin theta,cos theta)]`isA. `[{:(-cos theta, sin theta),(-sin theta, -cos theta):}]`B. `[{:(cos theta, sin theta),(-sin theta, cos theta):}]`C. `[{:(-cos theta, -sin theta),(sin theta, -cos theta):}]`D. `[{:(cos theta, sin theta),(sin theta, -cos theta):}]`

Answer» Correct Answer - B
`|A|=cos ^(2)+sin^(2)theta=1`
`adj(A)=[{:(cos theta,sintheta),(-sin theta, cos theta):}]`
`A^(-1)=(adj(A))/(|A|)=[{:(cos theta, sin theta),(-sin theta, cos theta):}]`


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