If `A=[[costheta,-sintheta],[sintheta,costheta]]` then show that `A^n = [[cosntheta,-sinntheta],[sinntheta,cosntheta]]`

If A=[[costheta,sintheta],[-sintheta,costheta]],then Lim_(x_>oo)1/nA^n is

Show that costheta [[costheta, sintheta],[-sintheta, cos theta]] + sin theta [[sintheta ,-cos theta],[costheta, sin theta]] =1

if A= [{:(costheta,sintheta),(-sintheta,costheta):}], then A A^T =?

If {:A=[(cos theta,sintheta),(-sintheta,costheta)]:}," then A.A' is

Simplify costheta[[costheta,sintheta],[sintheta,costheta]]+sintheta[[sintheta,-costheta],[costheta,sintheta]]

Statement 1: If A is an orthogonal matrix of order 2, then |A|=+-1. Statement 2: Every two-rowed real orthogonal matrix is of any one of the forms [[costheta ,-sintheta ],[sintheta ,costheta]]or[[costheta ,sintheta],[ sintheta,-costheta]]dot

If A=[(costheta,sintheta),(-sintheta,costheta)] , then find the value of |A| .

if A=[(costheta,sintheta),(-sintheta,costheta)],then A^(2)=l is true for

Simplify the following : cos theta [{:(costheta,-sintheta ),(sintheta,costheta ):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]

Let A=[{:(costheta,sintheta),(-sintheta,costheta):}] , then |2A| is equal to