What is the adjoint of the matrix `({:(cos(-theta)-sin(-theta)),(-sin(-theta)cos(-theta)):})`?

Write the inverse of the matrix {:|(cos theta,sin theta),(-sin theta,cos theta)| .

What is the inverse of the matrix A= ({:(cos theta, sin theta ,0),(- sin theta, cos theta,0),(0 , 0, 1):})

Find the inverse of the matrix [(cos theta, sin theta),(-sin theta, cos theta):}]

cos theta/(1+sin theta)=(1-sin theta)/cos theta

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

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

Find is the order of the matrix {:((sin theta),(cos theta),(tan theta)):}