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

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

If A=[[costheta,sintheta],[-sintheta,costheta]] , then for any natural number, find the value of D e t\ (A^n) .

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

If cos theta-4sintheta=1, the sintheta+4costheta=

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

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

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

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

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

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