If `A = [{:("cos" theta, -"sin"theta),("sin"theta, "cos"theta):}]`, then the matrix `A^(-50) " when " theta = (pi)/(12)`, is equal to

If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the matrix A^(-50) when theta=pi/12 , is equal to :

If R(theta) = [(cos theta, sin theta),(sin theta, -cos theta)] Write:- R(pi/2) .

Inverse of the matrix [{:(cos 2 theta, -sin 2 theta),(sin 2 theta, cos 2 theta):}] is

Inverse of the matrix [(cos 2 theta,-sin 2theta),(sin 2 theta, cos 2theta)] is

Let theta = (pi)/(5) and A =[{:(cos theta, sin theta),(-sin theta, cos theta):}] . If B = A + A^(4) , then det (B).

The inverse of the matrix [(cos2theta, -sin2theta),(sin2theta, cos2theta)] is -

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .