Let `theta=pi/5,X=[[costheta,-sintheta],[sintheta,costheta]],o` is null matrix and I is an identity matrix of order 2 x 2, and if `1+X+X^2+.....+X^2= 0`, then n can be

Let theta=(pi)/(5),X=[{:(,cos theta,-sin theta),(,sin theta,cos theta):}] , O is null matrix and I is an identity of order 2 xx 2 , and if I+X+X^(2)+....+X^(n)=0 then n can be

Let theta=(pi)/(5),X=[{:(,cos theta,-sin theta),(,sin theta,cos theta):}] , O is null matrix and I is an identity of order 2 xx 2 , and if I+X+X^(2)+....+X^(n)=0 then n can be

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

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

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

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

Eliminate theta,if x=2 costheta-3sintheta y= costheta+2sintheta

If sintheta+costheta=x then sintheta-costheta=?

If (sintheta)/(x)=(costheta)/(y) then sintheta-costheta is equal to

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